Constructive criticism please.

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In summary, the conversation discusses the importance of criticism in developing ideas and the significance of the constancy of the speed of light in understanding the laws of physics. The speaker asks for help in criticizing the premise of their work, which questions the circular logic of gamma factoring and challenges the traditional understanding of space and time. They suggest that this could lead to a better understanding of fundamental conclusions in physics.
  • #1
Chrisc
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I would like to thank Janus and selfAdjoint for their very helpful criticism. It was their arguments against my ideas four years ago that set me clear on the difference between ideas and potentially valuable work.
I was convinced, as I have seen so many others since, that my ideas would be so clear to others that they would cheer me on. My first reaction to criticism was to defend my ideas at all costs. It soon became apparent that any well intended, constructive criticism from anyone is in fact the most valuable cheering-on one can hope to find. It just takes time to get past one's ego to see criticism as a necessary and beneficial test of any new idea.
So, in a 180 deg. turn of perspective and after four years of critical examination of my own, I would like to ask those of you interested in helping me, to criticize as you see fit, the premise of my work below. I now feel very selfish in asking for what I previously feared.

A frame of reference holds no meaning with respect to the equations of mechanics unless it meets the following minimum criteria.
A system of coordinates of spatially rigid measures extended on three perpendicular axis of common origin, to which is assigned the property rest. Thus all measures of mechanics will hold to the equations of mechanics because both are quantified with respect to the property rest attributed to the frame's coordinates.
Or as Einstein said, "The laws of electrodynamics and optics will be valid for any frame of reference in which the equations of mechanics hold good".[1]
Einstein removed the property of "absolute" rest from the laws of physics and replaced it with the property of any system of coordinates which hold the equations of mechanics good.
Because rest and motion are conjugate properties, the equations of mechanics are not quantitatively true statements(upheld) unless one or the other (rest or motion) has been quantitatively defined.
If the definition of a frame of reference as the property rest is not provided, removing the property of "absolute" rest renders the equations of mechanics universally arbitrary statements and arbitrary is not at all the same as relative. It is the relative nature of the property rest as attributed to a frame that upholds the equations and allows them to be translated from one frame to another. It is the constancy of light that determines the formula of this translation.
"That the speed of light is constant regardless the motion of the source is very interesting, that it is constant regardless the motion of the observer is remarkable".[2] For it must then be constant regardless the source and observer when they are the same frame. This property of light, that it moves away from an observer at the same speed even when that observer is moving at near light speed, is why Einstein considered the constancy of the speed of light "plays the part, physically, of an infinitely great velocity".[3]
It is important to realize the ontological significance of this constancy. No matter how clever we may be in designing or discovering the equations that translate the kinematics of this physically real phenomena, we must understand what they mean. At present we do not. In more general terms we must consider the state of physics with respect to this lack of knowledge. In other words, is not enough to sustain the equations of mechanics with respect to the constancy of the speed of light through translatory equations of kinematics. The equations must express dynamics that give rise to the constancy of the speed of light.
Put in everyday language we might say, - do not tell me the speed of light is constant "because" time dilates and length contracts, but tell my why time dilates and length contracts without telling me "because" the speed of light is constant.


[1] "On the Electrodynamics of Moving Bodies" A. Einstein (Annalen der Physik. 17:891, 1905) Eng, translation.
[2] (I am still sourcing this reference. My best guess to date is John Stachel in a lecture at the Perimeter Institute, 2005.)
[3] "On the Electrodynamics of Moving Bodies" A. Einstein (Annalen der Physik. 17:891, 1905) Eng, translation.

I have, as I suspect many on this forum, thought long and hard about this question. It is in my opinion, a question that must be answered before any significant progress will be seen again in theoretical physics.
 
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  • #2
Chrisc said:
help me, to criticize, the premise of my work below.

Put in everyday language we might say, - do not tell me the speed of light is constant "because" time dilates and length contracts, but tell my why time dilates and length contracts without telling me "because" the speed of light is constant.


I have, as I suspect many on this forum, thought long and hard about this question. (that must be answered before any significant progress ... physics.)
I don’t see where you have clearly stated what “this question” is.

But I take as your premise for it or your work to be that the logic of Gamma Factoring both justifies “c” and dilation/contraction is a circular logic with an incomplete explanation. Meaning that that if the cause is left unknown and not understood there remains variables in how we take observations that could cause use to draw invalid conclusions.
So I guess “your work” must start from considering the possibilities that we have some fundamentally incorrect conclusion that affects how we observe and interpret reality.

For example: Newton expected Absolute Space and Absolute Time. But based on relativity we conclude neither space nor time is absolute thus allowing for “space-time” and General Relativity interpretations. However, if you develop an explanation for dilation/contraction that accounts for a distorted viewing of what is in fact Newtonian Absolute Space & Time, it would explain incorrect conclusions such as misperceiving the meaning of “c”.

If I have your premise correct do you have fundamental conclusion in physics you wish to consider might be wrong e.g. no Absolute Space and Absolute Time. Or is your question simply what if a constant “c” is incorrect.
 
  • #3
The equations must express dynamics that give rise to the constancy of the speed of light.
Why do you think so? Relativity is about geometry. What dynamics would I have to conjure, for example, that the sum of two sides of a triangle is longer than the third side? Do you accept this statement without anyone providing a dynamical explanation? If so, why do you think that it is necessary that relativity gives one for the predicted (and observed) efects?
 
  • #4
Chrisc said:
A frame of reference holds no meaning with respect to the equations of mechanics unless it meets the following minimum criteria:
A system of coordinates of spatially rigid measures extended on three perpendicular axis of common origin, to which is assigned the property rest. Thus all measures of mechanics will hold to the equations of mechanics because both are quantified with respect to the property rest attributed to the frame's coordinates. ...

so does any inertial frame of reference meet that first criteria? or does it have to be a particular frame of reference that Nature has assigned the property rest?
 
  • #5
You're right RandallB, I did not state a question that can be directly addressed.
I should have asked if anyone finds fault in the reasoning that leads up to the statement, why is the speed of light a constant and what is it about the nature of the universe that it is the specific speed it is?
I was too concerned with pre-empting the circular, kinematical logic that might be offered as an answer, I forgot to make it clear what the question was.

You have got the general idea of the premise. I do not think the principle of relativity has been fully comprehended nor consolidated in the laws of physics. However I have no serious dispute with either theory (SR, GR) in as far as they go to describe the relativistic framework of the laws. I think they are incomplete in so much as they take time to be nothing more than the kinematics by which it is measured.
I hoped to present my ideas one step at a time in order to use the feedback and criticism as constructive aids to making the most succinct and logical presentation.


Ich, I don't expect any theory to state more than it needs to justify its predictions. I was not talking about the equations of relativity, I was talking about the equations of mechanics in general. I could have said the mathematical logic that leads us to accept as true, the kinematics of a theory, should at some time, not necessarily in the same theory, lead us to accept as true, the dynamics of a theory. Einstein's special relativity is a brilliant piece of work. But even he had no illusions that it explained "why" light was a constant.
Your analogy is good, but geometry does not need dynamics, kinematics do. The geometry that describes the kinematics of motion does not need dynamics, but the kinematics the geometry describes does.

rbj, I did not qualify a frame as necessarily inertial, but by definition, any inertial frame would meet this criteria. Nature does not assign the property rest except from the perspective that all properties are assigned by Nature, but that is not the distinction being made here with respect to upholding the equations of mechanics in a frame of reference.
 
  • #6
Chrisc said:
Constructive criticism please.
For what it is worth:

By only questioning the postulates of a theory you will never grow a better understanding of it.

You effectively stop at the door and keep handing pamphlets to others who want to step through the door or who already stepped through it before. But you never step through the door yourself.
 
  • #7
Chrisc said:
rbj, I did not qualify a frame as necessarily inertial, but by definition, any inertial frame would meet this criteria. Nature does not assign the property rest except from the perspective that all properties are assigned by Nature, but that is not the distinction being made here with respect to upholding the equations of mechanics in a frame of reference.

so you're assigning a coordinate frame the property "rest" when it is accelerated?

this is gettting curiouser and curiouser.
 
  • #8
Chrisc said:
Put in everyday language we might say, - do not tell me the speed of light is constant "because" time dilates and length contracts, but tell my why time dilates and length contracts without telling me "because" the speed of light is constant.

Yes, I understand this issue. The whole of physics is this way and Quantum Mechanics is no exception either. It's related to our predisposition toward a mechanistic description. For good reason physics does not concern itself with describing parts, rather it describes symmetries in our observations. We simply cannot be sure that infinities, spatial dimensions, Godel's theorem, and/or measurability will ever allow such a theory, even in principle. Symmetries do not lose any predictive value with or without a mechanistic interpretation. We didn't give up our mechanistic assumption willingly, it was forced on us by some very strange behavior in nature. The accusations of indoctrination is unfounded. If you can deliver the goods mechanistically then do so. What is less than honest is to simply claim a priori X must be so, or that some limited interpretation of a small piece of physics proves it.

Wrt Relativity all we can say is that all our measurements show C to be constant, and yes I've been through the one way speed thing so much it about makes me barf. Depending on the parameters you choose you can use a varying speed of C in a mathematically consistent way. Pretty much similar to a disagreement between observers on a distance. Yet you must normalize the predictions for what an observer actually measures, i.e., a constant C. Einstein simply threw out everything except what we actually measure, leaving only the symmetries. The fact that some Lorentzian interpretation can in principle work can't touch the success of the symmetries. To those wanting to know why: it all appears like perfectly circular reasoning. It is the fact that it matches observations that defines its legitimacy, not the reasoning itself. The reasoning must be consistent but only nature rules on validity. It will remain unaffected in its predictive power regardless of any interpretation correct or otherwise that we attach to it.

That being said, personally I do hold out hope for a mechanism or ethereal type theory. It obviously can't take the form of any type that has previously been articulated. Absolute frames, particle motion/pressures, etc. as often described are empirically absurd. I have reviewed many attempts and to date they all empirically break down somewhere. Space-time dilation is one of the easiest effects to qualitatively mimic in an ether type theory. Yet contrary to the claims of many it proves nothing. Even a successful version, that as yet don't exist, that merely mimicked what we already know is of no value whatsoever.

Yes I understand the difficulties people have with working with just the symmetries. So I don't take it lightly when I'm criticizing the mental contortions people go through to demonstrate their interpretations. I went through it myself. Though the same arguments get tiresome. The logic as taught by the mentors here is empirically valid, mathematically consistent, and derived from sound physical arguements. If you have some interpretation that differs significantly from those aspects then nature has already ruled badly on your case.
 
  • #9
MeJennifer, I like your analogy. It is very true and often the case, but I have gone through the door. I have not stopped at the door and I certainly do not want to dissuade anyone else from going through. I would suggest I'm taking an exit pole, for what I found in the room behind that door was fascinating but incomplete. The very reason I am at your analogous door is because you must see and understand the contents of that room before entering the next.

rbj, I will get to accelerating frames shortly, it is not as contrary as you might think, but it is certainly curioser.


my_wan, I understand the frustration in giving way to predictive power over reason but I do not think we must give up that power to find reason. I don't think I ever accused anyone of indoctrination and I will deliver the goods. Einstein didn't "throw out everything except what we can measure" he held very tightly to principle, but I understand your point. He did not deny the evidence in favour of a more psychologically pleasing approach.
There are certain principles in physics that cannot be denied without resorting to mysticism. Symmetry, as you mention, is certainly one of them as is its cousin, conservation. But the discovery of symmetries in and of themselves is not enough as Emmy Noether pointed out. It is the realization of their deeper, ontological implications and significance that is the real power of symmetries. If you've been through the difficulties of working with "just" symmetries, you understand they express and reveal relationships so deeply hidden that at times we have not seen them when looking right at them. I think you will appreciate more than most, the symmetry that reveals itself the model I will present.
I would suggest that Nature never behaves "very strange" except when our ideas of how Nature should behave are wrong. Nature is discovered not contrived. I understand your position and I agree with the principle of fruitful pursuit, but I think we have begun to loose sight of the goal. In our pursuit to understand Nature we have become obsessed with the process.
 
  • #10
There are a few more principles that need to be clearly communicated before returning to the consequences of the definition of a frame of reference given above.
Part II
There is a perceived symmetry in the laws of mechanics that is often a source of confusion. It is the symmetry of the laws of mechanics through time-reversal, often confused with the symmetry of the equations through time-reversal.
The symmetry of the equations is easily understood as a conservation of quantitative values via a "negative" time signature. The laws these equations express are not all so easily conserved or quantified through time-reversal.
The following thought experiment helps clarify this point.
Consider a simple collision of two bodies as follows:
A mass(M) in constant linear motion(v) collides with a larger mass (2M) at rest. The first mass (M) comes to rest and the second (2M) is set in constant linear motion at 1/2v.
The conservation of momentum Mv = 2M(1/2v) holds a symmetry across time-reversal when time is expressed in terms of the velocity, 2M(1/2d/-t) = M(d/-t). But when we look at what this expresses in the laws of conservation of momentum we find: a larger mass (2M) moving with constant linear motion 1/2v, comes to rest upon colliding with a smaller mass (M) and sets the smaller mass(M) in constant linear motion v, a velocity greater than that of the larger mass before collision. This requires all the momentum of the larger mass (2M) is translated to the kinetic energy (greater velocity) of the smaller mass (M). It is a contradiction of the second law of thermodynamics. It has never been seen in Nature.
But of course we have never observed the reversal of time either, so it would appear we are saying the same thing here. The second law is an observational law. It states the increase in entropy with the progression of time. We have never seen it contradicted because we have never seen a reversal of time. As the laws of mechanics have been derived and confirmed through observation, it is not unusual, in fact it is perfectly reasonable that they express the kinematics and dynamics of only time forward events.
The laws then are not time-reverse symmetric without a complete reversal of dynamics in general. In other words, we would not see a reversal of time, or a contradiction of the second law, as if such an event is upheld by the laws, we would not see anything. The photons traveling to our eyes in forward time sight, would travel away from our eyes to their source. This is a simplified example of complete dynamic reversal but it makes the point that we cannot expect the laws of mechanics, derived from the observations of forward-time events, to be time-reverse symmetric without fully understanding what time-reversal means.
To understand time-reversal with respect to dynamics we must first be very clear on what time is. A period of time is a measure of the motion of a system. The system may be mechanical, electrodynamics or any other event we agree is of consistent frequency - a clock. The motion of a system is a measure of the displacement of space. We could discuss at length the philosophical implications of such a circular logic, but it will, as history has proven, be of little value in narrowing our definition of time. As physics is concerned with measurement through observation, we will leave the definition of time as - the displacement of space.
If we measure the rate of time to differ from one place to another, we can say nothing more than the rate of displacement of space (the meter of our clock) is different at one place than the other. If we measure the rate of time to change in the same place, we can say nothing more than the rate of displacement of space changes in the same place. As the displacement of space, time is and therefore time-reversal is, a physically real dynamic. By themselves, the dimensions time and space are unintelligible. Together they represent a continuum of measurable, quantifiable nature. That we cannot separate one from the other is no longer a epistemological dilemma. That we still separate space-time from mass is.
 
  • #11
Chrisc,

The motion of a system is a measure of the displacement of space.
[snip]
... we will leave the definition of time as - the displacement of space.
I look forward to an explanation of this extraordinary statement. Presumably you'll ascribe some intrinsic properties to space.
 
  • #12
Chrisc said:
my_wan, I understand the frustration in giving way to predictive power over reason but I do not think we must give up that power to find reason.

I have invested quiet a bit of time in mechanistic theories. I am not adverse to them in principle and even maintain some hope. However, to characterize forfeiting mechanistic theories as giving up on "reason" is more than I can concur. I even consider it a false dichotomy.

Chrisc said:
There are certain principles in physics that cannot be denied without resorting to mysticism. Symmetry, as you mention, is certainly one of them as is its cousin, conservation. But the discovery of symmetries in and of themselves is not enough as Emmy Noether pointed out. It is the realization of their deeper, ontological implications and significance that is the real power of symmetries.

You refer to the articulation of ontology as the real power. To me this smells of a one true ontology myth. Two mutually exclusive ontologies can fully and correctly describe the same system. It's not unlike a one true political party. To characterize it as "the real power" begs the question: Historically, how could it be said that ontology has driven our understanding of science. In fact it was the other way around, science is what drove the ontological implications. It seems the real power is the influence it has on you. I will not object to this, or your efforts, but it would be helpful for you to recognize it for what it is. I could make lists of good realistic reasons why such a theory may never be possible, even if nature is ultimately purely mechanistic.

Chrisc said:
I think you will appreciate more than most, the symmetry that reveals itself the model I will present.

I'm looking forward to it. I will not even complain about ascribing physical properties to space. If I wreck your model don't be deterred in your efforts. Don't try and deny and ignore the issues either. That alone will speak very well of you. Good luck.

Next Post:
Chrisc said:
A mass(M) in constant linear motion(v) collides with a larger mass (2M) at rest. The first mass (M) comes to rest and the second (2M) is set in constant linear motion at 1/2v.
Think again. Elastic collisions don't work this way. (M) will recoil in a collision with mass (2M).
http://en.wikipedia.org/wiki/Elastic_collision

The problems with the above description, as quoted, is a bit too severe for me to consider getting into thermodynamics or definitions of time on that premise.

I think this tells me where your model is going though. I'm curious how far you were able to take it.
 
  • #13
my_wan, I'm sorry for the way my response sounded, I did not intend to imply you, or anyone has given up on reason. I meant there is no good reason to give up, or not concern ourselves with ontology. That the predictive power of symmetries of observation does not lose any predictive power without mechanistic interpretation, is not justification for ignoring ontology. As the branch of philosophy dealing with the physical, physics without ontology is mathematics.

It is the "realization" of deeper meaning, ontological implications and significance of symmetries that I referred to as the "real power". As opposed to the recognition of symmetries themselves.

Your argument on the priority of science before ontology makes me think you are taking my reference to ontology as a field of study. When I speak of ontology in physics I am referring to entities, conceptually sound or physically real, which are and likely always will be philosophically arguable, to which the symmetries and all other mathematical modeling are associated. The continuous symmetry of a sphere through spatial rotation, is still, a sphere. If we allow ourselves to distill ontology to nothing more than the mathematical models that define them, once again physics becomes mathematics.

"Ascribing physical properties to space" as you say, is and has been critical to the formulation of any relativistic modeling since Leibniz. I will not be ascribing physical properties to space. I will subscribe to the notion space is physical in the sense that in the separation of bodies there exists something more than the separation of those bodies as it is not, even as an extension of those bodies, the bodies themselves.

If you wreck my model, it will be difficult, but most appreciated. There is nothing worse than a mind wasted.

If you are concerned about the distinction between rigid and elastic at the molecular level having significant theoretical impact on a relativistic model, you might as well stop reading now. I will not be offering the detailed account of molecular kinematics. My reference to the second law is in the most fundamental theoretical sense which holds up to and including macro bodies of composite nature. I will however show the model to play a major role in the observations and interpretations of all of physics. It is an extension of the principle of relativity that offers a broader, more unified framework for the laws.
 
  • #14
Chrisc said:
my_wan, I'm sorry for the way my response sounded, I did not intend to imply you, or anyone has given up on reason. I meant there is no good reason to give up, or not concern ourselves with ontology. That the predictive power of symmetries of observation does not lose any predictive power without mechanistic interpretation, is not justification for ignoring ontology. As the branch of philosophy dealing with the physical, physics without ontology is mathematics.

No offense taken. When posting on a forum I am speaking to a wider audience than just the direct recipient and my words were meant to be taken generally. With regard to you it was merely a caution from what I perceived, not an actual characterization of what I knew to be so.

Yes I take ontological issues quiet seriously. Much more so than most. Yet often ontological assumptions can be a Pied Piper. In my own experience many of the implications I thought were required under certain ontological assumptions were in fact entirely independent assumptions.

Chrisc said:
It is the "realization" of deeper meaning, ontological implications and significance of symmetries that I referred to as the "real power". As opposed to the recognition of symmetries themselves.

Yes I concur. Yet many of the things we often assume to be "real" in fact only have meaning under a certain choice of definitions. Suppose a force law theory of GR was developed that had all the predictive power and generality of GR but was otherwise exactly equivalent. QM has many equivalent ways of formulating it, some more intuitive than others. This would in no way invalidates the curved spaces of GR or the ontological implications associated with it. Whole classes of ontological assumptions are definitions and definitions alone.

Consider a raw mechanistic ontology. What does this imply? It implies parts that bump into each other. Absolutely nothing more. Any notion of space or time imposed from the outside (our imagination) is purely imaginary. We are predisposed to certain types of definitions but they are nothing more than relationships we choose from perspective, not real in the ontologically real sense. Yet the symmetries will be innate to any possible consistent set of definitions. Symmetries go even farther in that their power is the same with or without referring to parts that bump into each other, or even the existence of these parts. Yes symmetries are king. Finding a way to define parts would be very cool, maybe even helpful to figure out how to define certain classes of symmetries and bounds properly.

Chrisc said:
Your argument on the priority of science before ontology makes me think you are taking my reference to ontology as a field of study. When I speak of ontology in physics I am referring to entities, conceptually sound or physically real, which are and likely always will be philosophically arguable, to which the symmetries and all other mathematical modeling are associated. The continuous symmetry of a sphere through spatial rotation, is still, a sphere. If we allow ourselves to distill ontology to nothing more than the mathematical models that define them, once again physics becomes mathematics.

I have intensely considered ontology as a field of study. To a much greater degree than the notion of realism itself. Physics is not and has never been nothing but mathematics. If it was only mathematics I wouldn't be here. However, if I say this coin flips either heads or tails, never feet or anything else, I have defined a symmetry, a mathematical statement. When Newton said, "An object at rest tends to stay at rest and an object in motion tends to stay in motion unless acted upon by a force", he made a mathematical statement. When you boil physics down to just the statements needed to derive predictions, not the skills, knowledge, or math needed to make those predictions, there is amazingly very few. Mathematicians often joke about the way physicist use math. Physics is math, even when described without it or in terms of real parts. Math is not physics.

Chrisc said:
"Ascribing physical properties to space" as you say, is and has been critical to the formulation of any relativistic modeling since Leibniz. I will not be ascribing physical properties to space. I will subscribe to the notion space is physical in the sense that in the separation of bodies there exists something more than the separation of those bodies as it is not, even as an extension of those bodies, the bodies themselves.

I'll provisionally go with that.

Chrisc said:
If you wreck my model, it will be difficult, but most appreciated. There is nothing worse than a mind wasted.

Don't worry, it's not a waste. Anything worthwhile is worth many failures. I've wrecked more of my ideas than I can count.

Chrisc said:
If you are concerned about the distinction between rigid and elastic at the molecular level having significant theoretical impact on a relativistic model, you might as well stop reading now. I will not be offering the detailed account of molecular kinematics. My reference to the second law is in the most fundamental theoretical sense which holds up to and including macro bodies of composite nature. I will however show the model to play a major role in the observations and interpretations of all of physics. It is an extension of the principle of relativity that offers a broader, more unified framework for the laws.

Hmm, I don't want to read too much into that as I seemed to have done in the previous post. I must confess that the generality with which thermodynamics crosses boundaries in physics is not a surprise to me.

Unless you post to Independent Research it's unlikely to be very acceptable here. The rules here are well defined with very sound reasoning for them. You can post your ideas there, PM me with links or info, or I can suggest public forums where we can express ideas without concern for mainstream legitimacy. Forgive me if I'm not optimistic about being surprised. It's just a learned expectation. However, you have paid a good share of effort to be here today. Perhaps something can be learned here, and I can always hope to be surprised. There exist a range of empirical issues that must be addressed in any type of mechanistic theory, even incomplete ones. Good luck Chrisc.
 
  • #15
Chrisc;
Put in everyday language we might say, - do not tell me the speed of light is constant "because" time dilates and length contracts, but tell my why time dilates and length contracts without telling me "because" the speed of light is constant.

See if http://wizdum.awardspace.info" [Broken] answers any of your questions.
 
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  • #16
Just a quick note to whomever wrote the paper on velocity at that page... More than one vertex are vertices.
 
  • #17
Chrisc said:
Put in everyday language we might say, - do not tell me the speed of light is constant "because" time dilates and length contracts, but tell my why time dilates and length contracts without telling me "because" the speed of light is constant.
I haven't read all your posts, but I think you're missing something basic here. "The speed of light is constant" is not really a truth about physical reality at all--it is just an assumption made for the purposes of having a definition of what it means for inertial clocks with the same rest frame but at different locations to be "synchronized". Einstein assumed that each inertial observer would assign coordinates to events using a rigid grid of rulers at rest relative to himself, with synchronized clocks attached to each marking on the ruler; then if the observer spots a distant event in his telescope, he can just look at the marking on his ruler that it was next to as it happened in order to assign spatial coordinates to the event, and look at the reading on the clock attached to that marking at the moment the event happened to assign a time-coordinate to the event. In this way he can assign coordinates to events using only local measurements, without having to worry about the optical effects that create a delay between when the event happened and when he actually sees it.

The problem is defining what it means for clocks attached to different markings to be "synchronized". Einstein said, let's define two clocks to be synchronized using light signals; if you set off a flash at the midpoint between two clocks, then we'll define them as synchronized if they each read the same time at the moment the light from the flash reaches them. This is just a convention about how each observer should define the word "synchronized", it needn't be seen as a physical claim about whether the clocks "really are" synchronized in any objective sense.

But Einstein's actual physical hypothesis was this: if every inertial observer constructs their coordinate system according to this procedure, then the laws of physics will have the property that they obey the same equations in each observer's coordinate system. This is true if the laws of physics have a symmetry called "Lorentz-invariance"; we can easily imagine a universe in which the laws were such that this hypothesis would be false, so this is a genuinely physical hypothesis rather than just a matter of conventions.

So then Einstein took the two assumptions--that each inertial coordinate system observes the same laws of physics (which means that if a ruler moving at speed v in one coordinate system is shrunk by [tex]\sqrt{1 - v^2/c^2}[/tex], this must be true in every other coordinate system too), and that each coordinate system must define simultaneity using the convention that light should have the same speed in all directions, and showed that together they could be used to derive length contraction and time dilation. As I said, the second part about light moving the same speed in both directions is just a convention which shouldn't be seen as a physical claim at all, but the first part about the laws of physics obeying the same equations in all the coordinate systems constructed in this way is a physical hypothesis which can be tested experimentally. So far, all the equations of the fundamental laws found so far do respect Lorentz-invariance.
 
  • #18
For more reading on what JesseM said concerning the speed of light is not really a truth about physical reality but a definition. It is however a physically consistent definition.

Comments on "Note on varying speed of light theories"
http://arxiv.org/abs/0705.4507
 
  • #19
JesseM, Thank you. Your explanation was very well stated. I do understand the relative nature of measurement with respect to the constancy of the speed of light.
The constancy of light however "is" a physical constant by virtue of the fact that the laws of physics are Lorentz invariant. I know that there is a tendency to hold an absolute frame of reference when reasoning this through, but I assure I am not.

my_wan, thank you for the link, I will read this tonight.
 
  • #20
Part III
(I must qualify my original post as I missed the word "constant" which is inserted below)
A frame is a set of constant spatial coordinates extended on three perpendicular axis from a common origin. To distinguish a frame from a frame of reference requires attributing the coordinates of the latter with the property rest. When we then speak of an observer in a frame of reference, we intend the coordinates of the frame to hold the property rest such that with respect to the coordinates, the observer finds the equations of mechanics are upheld. On the strength of Newton's first law, it is reasoned that a frame of reference will uphold the equations of mechanics as tested by an observer within the frame, when that frame is measured at rest or in constant velocity with respect to a second frame of reference. Observers, one in each of two frames of reference in motion with respect to each other, will then find the equations of mechanics are upheld in both frames of reference, but only with respect to the property rest attributed to the coordinates of their own frame of reference. While it is reasonable to infer that each observer upon measuring the motion of the other's frame of reference to be of constant velocity with respect to their own, could quite justifiably translate the property of rest from their frame to the other thereby upholding the equations with respect to the coordinates of the other, such a translation can only be justified "after" measuring the state of motion of the other with respect to the property of rest attributed to their own frame.
Keeping in mind this definition of a frame of reference, we can now consider what is meant by an accelerating frame of reference.
An accelerating frame is a set of constant spatial coordinates extended on three perpendicular axis from a common origin which, with respect to an observer's frame of reference, are measured to be in a state of acceleration. For ease of consideration we will take this acceleration as constant. When we begin to reason an observer in such a frame testing the equations of mechanics, it becomes apparent they cannot attribute the coordinates of the frame with the property rest, a qualification which must exist to test the equations with respect to Newton's first law, unless we can, in accordance with Newton's second law, attribute a constant force acting equally on the observer and all test bodies within the frame, such that all accelerate equally with the coordinates of their frame. But as gravity is the only force known to persuade bodies of different mass to accelerate equally, we must conclude that outside of imagination, the only accelerating frame that can be qualified as a frame of reference is a frame in free fall.
What we have done here is made the distinction that a frame is only a frame of reference when it is an inertial frame. This appears to be too strict a limitation, but it is the only possible means of qualifying a frame of reference in first principles while upholding the empirical status of Newton's first two laws of motion. In other words, what removes all other frames from this qualification is our inability to distinguish in first principles, acceleration from gravitation with respect to these same laws, which has become known as the equivalence of acceleration and gravitation.
When Newton's laws are the only empirical knowledge we have to test the equations, we find no distinction between an accelerating frame and a frame resisting gravitation. But if we make use of Einstein's second postulate, "light is always propagated in empty space with a definite velocity c which is independent of the state of motion of the emitting body"[1] when testing the equations, we find we can distinguish between the two.
We will use the well known "spaceship" thought experiment popularized by Feynman's lectures to demonstrate this distinction.
The frequency of the light signals from the front of the ship, as detected and measured against the clock at the back of the ship, indicate the clock at the front of the ship is running faster. While the same experiment in an identical ship with identical clocks sitting on the Earth's surface will produce the same evidence,(a change in the rate of time of the two clocks), the difference between results of these two constructs and therefore the distinction that can be measured against any similar test is in the "constancy" of the change in the rate of a clock. An accelerating frame will, by virtue of the definition of acceleration and the constancy of the speed of light, continue to reduce the time between emission and detection at the front and back of the ship respectively. Gravitation will not. The change in the rate of the clocks in a gravitational field remains constant.
The constancy of the frequency of light signals will in this manner serve to distinguish an accelerating frame from a frame resisting gravitation. The constancy of time with respect to the motion of a frame is the only distinction (non-trivial) that qualifies the equivalence of acceleration and gravitation, and will be shown to reveal a previously unknown (authors best knowledge) correlation between time and gravitation.
 
  • #21
Chrisc said:
An accelerating frame will, by virtue of the definition of acceleration and the constancy of the speed of light, continue to reduce the time between emission and detection at the front and back of the ship respectively. Gravitation will not. The change in the rate of the clocks in a gravitational field remains constant.

Up to this point the comprehension was very good. However, this assumption fails. Here's why:

At each point in time the ship may consider its motion in a rest frame that it is accelerating out of. In fact if the ship stops accelerating then the motion at that point in time becomes its rest state. If at the time the light is emitted the velocity associated with the ship is the rest state, regardless of how long the ship has been accelerating, then the difference in that rest state and the velocity at the time the light is detected is always the same from the ship frame.

Take ship velocity (V) wrt another observer
(neglecting relativist additions because ship differences is what matters).
First photon emitted; V=0
First photon detected; V'=5

Second photon emitted; V=5
Second photon detected; V'=10

The difference between V and V' remain constant even though the ship accelerated from 0 to 5 then from 5 to 10 in separate emission/detection events. At the time the velocity of the ship was 5 then the ship could consider that its rest frame in which it was accelerating out of. Therefore that 5 was a 0 in the ship frame.
 
  • #22
my_wan, you are describing the instantaneous velocity at consistent (let's say one second) intervals. You're right in terms of the incremental difference from second to second remaining the same, in your example it is V = 5.
But in terms of the travel time for light signals from the front of the ship to the back, this incremental change in the velocity of the ship, translates to a decremental change in the total distance traversed by each signal, which due to the constancy of the speed of light, translates to an increase in the rate of the light signals detected at the back of the ship. If it were not for the constancy of the speed of light, each signal would reflect the increased forward velocity of the ship at each second and your answer would be correct.
This is an important step to follow because the difference between a constant but increased rate of time of clocks high in a gravitational field and the increasing increase in the rate of time during acceleration, makes a distinction in their equivalence that is key to the model that will be presented.
 
  • #23
Chrisc
The constancy of the frequency of light signals will in this manner
serve to distinguish an accelerating frame from a frame resisting
gravitation.

This is why the equivalency principle is qualified with 'in a small region of space and a short time duration'. The reason being inertial acceleration is isotropic, gravity is not. It converges toward the center of mass, and this would become apparent after a
short time.
Because the EP was defined as an isolated experiment, there is a simpler way to distinguish the cause of motion,...cut a hole in the wall and look out.
 
  • #24
Chrisc said:
But in terms of the travel time for light signals from the front of the ship to the back, this incremental change in the velocity of the ship, translates to a decremental change in the total distance traversed by each signal, which due to the constancy of the speed of light, translates to an increase in the rate of the light signals detected at the back of the ship.

The velocity of the ship relative to itself never changed. To another none accelerated observer you are correct, but not within the ship frame where the light signal is being detected. The total length of the ship only decreases relative to another non-accelerated observer, the length of the ship relative to itself never changed. The clocks on the ship only slows relative to another non-accelerated observer, the clock on the ship never changes relative to itself. If relative to itself the ship length, time, and velocity never changed and the speed of light doesn't change by physical law then nothing decremented with each light signal.

The ship may be accelerating and feels it from the g force but the rest frame of the ship is always the velocity it is going at that moment, not the velocity before or after it accelerated that moment. The instantaneous velocity. If the length of the ship always remains the same relative to the ship then the only way the light signal time would decrement is if the speed of light changed. So even if due to acceleration the length is shortened somewhat to the detector the amount of acceleration is always the same between any two emitted signals no matter when the emission took place or how fast the ship got relative to another observer. Even the addition of velocity where 100,000 mph + 100,000 mph = 155,000 mph is only something measured by another observer, not something the ship will measure itself about the difficulty of accelerating.

Just to be thorough, what is meant by a constant speed of light is not just that it never changes but the measured velocity is always the same no matter what the motion of the detector is. Both a detector in the accelerating ship and a detector at rest nearby measure the same source of light from the ship at the same speed. This is why an observer nearby sees the ship length and clocks dilating but from within the ship that doesn't happen, it is the other non-accelerated observer that is dilated.
 
  • #25
phyti, Yes, there are ways to test the principle of equivalence. Cutting holes in the walls in one of them. But what this tells you, as with most of the tests that have been devised, is whether you are accelerating in zero gravity, or whether you are in a gravitational field, which is not really the essence of the question. A successful test of the principle of equivalence is one that qualifies the principle, which is to say distinguishes one law from the other. To "know" you are accelerating or to "know" you are in a gravitational field, is good evidence for analysis, but it is then with this knowledge that you must decide if the laws that govern each are actually the same expressed and and observed in different mechanics. This is why the convergence of falling bodies is mechanical evidence of gravitation but does not answer the question, it can be negated depending on the size of the field. It is in the attempt to exclude this kind of test that the limitations of time and space are usually attached to the explanations of equivalence.
In the example above using the rate of clocks there is no need to limit space and as the test is the change in the rate of time, we do not have a test of long duration. That there is a change in the change of the rate of time is the significant distinction here.
Stay tuned, I think you'll enjoy it.
 
  • #26
my_wan, I think we're talking about different effects. The instantaneous velocity of the ship relative to an inertial observer, will allow an inertial observer to calculate the Lorentz transformation of clocks and measuring rods as they would be observed on the ship, which is why the observers on the ship will confirm the constancy of the speed of light. But we are not dealing with the rate of the clocks in dilation due to the relative velocity of the ship. In that case, both clocks will appear to run slow to an inertial observer. It is in fact because the observers on the ship will measure the constancy of the speed of light that they cannot use it to "prove" they are accelerating. When light signals are sent at a frequency synchronized with each of their clocks, it is the acceleration of their ship that causes the observer at the back of the ship to observe the signals at a greater rate than the rate of their clock. Knowing their clocks are synchronized and that they agreed the signals would be sent according to the rate of their clocks, the observer at the back has no choice but to accept the empirical evidence of observation and measurement proves the clock at the front of the ship is running faster. Even the wavelength of the light will shift equivalent to a gravitational shift of the wavelength. So the question with regard to the equivalence of acceleration and gravitation (inertial and gravitational mass) is not whether it is real, or whether we know the mechanical difference, it is whether it is evidence of a single law that we interpret differently. When we distill the kinematical evidence out, we find an apparently common dynamic.
 
  • #27
Yes you can measure the difference due to acceleration, but this difference will remain consistent over time. Each emmission and detection time will be the same, just not what it would be without acceleration.
 
  • #28
my_wan, the thought experiment I am referring to is well known from Feynman's lectures.

"Six Not So Easy Pieces"
Richard P. Feynman
 
  • #29
Chrisc;
"In the example above using the rate of clocks there is no need to limit space and as the test is the change in the rate of time, we do not have a test of long duration. That there is a change in the change of the rate of time is the significant distinction here."

Isn't this just doppler shift?
 
  • #30
Ah, phyte, that's the question. In the case of an accelerating frame we can understand it and measure it precisely as doppler shift. So let me ask you, if it is doppler shift, what is "doppling" time in a gravitational field?
General relativity offers a very good and well tested answer to this question, as long as we agree on the nature of mass and time is nothing more than the kinematics by which it is measured.
 
  • #31
An object is accelerating at the surface, but it isn't moving! I resolved that as the motion/momentum is in the form of heat at the interface, thus the energy is kinetic, not potential.
The freq shift in a gravitational field is a tough one to grasp, as is the bending of the light path.
 
  • #32
Part IV
The kinematics of events is evidence of the persistence of time. The dynamics of events is evidence of the direction of time. In stating the tendency to equilibrium of a closed system, the second law describes the total energy of the system follows a direction of transfer of kinetic and inertial energy between bodies in collision that defines the direction of time.
Even though the statistical probability of two bodies colliding on a line through the center of their masses is far less than any other angle of collision, the question of increasing entropy forward in time is not in the probability of occurrence but that even with such precise angles of collision, the energy transfer has a direction from one mass to the other that is contrary to the laws of motion when this order is reversed.
The direction of transfer of kinetic energy to inertial energy and vise a verse is determined by the mass and velocity of each body in collision as discussed above.
When the direction of transfer of energy is defined as the direction of time, the laws of motion must be reformulated to incorporate time as an intrinsic aspect of dynamics such that time is a physical dynamic, the direction of which determines the laws of motion. With such a reformulation of the laws of motion, the dynamics of time-reversal does contradict the laws, the laws would in-fact predict such dynamics through a reversal of time as the reversal of time is a reversal of the dynamics.

This line of reasoning presents the following conjecture:
1. The laws of physics are expressed as equations of time-reverse symmetry.
2. Only the time-forward dynamics of these equations are observed in nature, a fact stated by the second law.
3. The time-reverse symmetry of the kinematics of certain events present dynamics that contradict the laws of physics and -
4. the time-reverse symmetry of the dynamics of the same events present kinematics that contradict the second law
5. time is therefore an intrinsic aspect of physical dynamics.
6. Time is physical change, physical change is dynamical and dynamics follow the second law.
7. Time is therefore the physical dynamics of change, the mechanics of which define its direction as stated by the second law.
This definition of time expresses an as yet unknown, universal physical dynamic governing all physical change. A dynamic that has a temporal bias that accounts for both the relativistic quantitative and qualitative transformation of dimension between frames in motion and proximity to mass.

There exists such a dynamic in the one definitive, “qualitative” transformation of dimension expressed in mass-energy equivalence revealed by special relativity. The ontological meaning of mass-energy equivalence has remained a fundamental question in relativistic physics. Francisco Flores distinguishes the two prominent notions of equivalence as:
_______________________________________
The Same-Property Interpretation of E=mc^2.

Most physicists and philosophers regard the terms "mass" and "energy" as designating properties of physical systems. Thinkers such as Eddington (1929), and more recently Torretti (1983), argue that since mass and energy are numerically equivalent according to Einstein's famous equation, the properties mass and energy are the same. For example, Eddington states that "it seems very probable that mass and energy are two ways of measuring what is essentially the same thing, in the same sense that the parallax and distance of a star are two ways of expressing the same property of location" (1929, p. 146). According to Eddington, the distinction between mass and energy is artificial. We treat mass and energy as different properties of physical systems because we routinely measure them using different units. However, one can measure mass and energy using the same units by choosing units in which c = 1, i.e., units in which distances are measured in units of time (e.g., light-years)[1]. Once we do this, Eddington claims, the distinction between mass and energy disappears.[3]

The One-Stuff Interpretation of E=mc^2.

Interpretations in the second group establish a connection between the terms "mass" and "energy," which are again treated as terms designating properties, and the two basic constituents in the ontology of physics: matter and fields. The equivalence of mass and energy is then taken to show that we can no longer distinguish between matter and fields. Einstein and Infeld (1938) offer a clear articulation of this interpretation. According to Einstein and Infeld, in pre-relativistic physics one can distinguish matter from fields by their properties. Specifically, matter has energy and mass, whereas fields only have energy.
Since mass and energy are distinct in pre-relativistic physics, there are physical criteria that allow us to distinguish matter from fields qualitatively. So it is reasonable to adopt an ontology that contains both matter and fields. However, in relativistic physics, the qualitative distinction between matter and fields is lost because of the equivalence of mass and energy. Consequently, Einstein and Infeld argue, the distinction between matter and fields is no longer a qualitative one in relativistic physics. Instead, it is merely a quantitative difference, since "matter is where the concentration of energy is great, field where the concentration of energy is small"(1938, p. 242). Thus, Einstein and Infeld conclude, mass-energy equivalence entails that we should adopt an ontology consisting only of fields.[3]
_______________________________________

These two interpretations differ only in their use of time, which leads each to understand equivalence as an expression of spatial-temporal translation. Both interpretations are equivalent to each other but present different ontological arguments through their applications of time. The first removes time by setting c=1, this translates the energy of mass to a purely spatial quantity, a quantity that must increase significantly from local time as one second becomes one light-second or 3x105 km.
The second includes time by inverting the translation of the first, concentrating spatial dimension per unit time thus all motion is a relative measure of time. This translates the energy of mass to a spatial function of time - when time is considered constant mass is a concentration of space, when space is considered constant mass is a concentration of time - both are the same condition we label matter the energy of which we label mass.
These translations have no physically real meaning because they are, as is all of physics, based on a strictly kinematical definition of time. Expressing the equivalence of mass and energy by removing time can only have meaning when time is the dynamic that changes energy to mass in the first place. Likewise, expressing matter as the region of a field of space-time where the strength is greater can only have meaning if time is the dynamic that changes the strength of the field.
Eddington and Torretti’s interpretation implies we can define the mass of a particle as the energy required to condense the vast region of space equal to its mass when c is set to unity, down to the physically real or temporally constant, spatial dimension that we measure as the particle when c is 3x10^5km/s.
Einstein’s and Enfeld’s interpretation implies matter is a physically real condition of a field identifiable as the point of transition of strength, one side of which is the increased strength we call mass, the other side the decreased strength we call gravitation.
Taken together, these two interpretations present the following conceptual model of mass.
The fundamental dimensions space(Length) and time are the kinematical constituents of a continuum of the field we call motion(space/time). The energy of a field of motion is measured as a ratio of the space-time of the field with respect to the space-time of the observer. The energy of a field of space-time extends from and increases toward its origin. The origin is a finite region labeled matter referring to the position of increased strength we label mass. When two or more fields interact, we label the redistribution of energy, observed as the motion of their origins - gravitation. Imparting a change of position on the origin of a field with respect to the position of an observer, requires changing the ratio of space-time in the subject field, the quantity of this change of energy is labeled inertial mass. The change in the ratio of space-time imparted by one field on another with respect to the space-time of the observer, is the quantity of energy we call gravitational mass.
The classical definition of constant, linear motion is the traversal of a constant quantity of space per unit time, which presumes the constancy of time. But since time is a measure of motion of a system we define as a clock, we have no means of establishing the constancy of time or the constancy of space. We can only measure each with respect to the other relative to the space -time of the observer. The model described above is then of little use for it digresses to the same circular logic of present ontological models that require any quantitative measure of space and time be defined by the constancy of c, the constancy of which is determined by our measure of space and time.
Escaping this circular logic requires changing our notion of time, a change that sustains our relativistic measure of dimension while affording a definitive distinction between mass and energy.
As shown in the previous thought experiments, when time is the kinematics of a system, its reversal presents dynamics in conflict with the laws of physics. When time is the dynamics of a system, its reversal is in conflict with the second law. As the second law does not define the dynamics responsible for the temporal bias of mechanics, but is an observational law that states the mechanics display a temporal bias in their dynamics, then a successful definition of time must define a temporal symmetry of dynamics that uphold the laws of physics while explaining the observational evidence of temporal bias expressed by the second law. Such a symmetry suggests the dynamical bias expressed by the second law is a fundamental process of time, the reverse of which has not or cannot be observed. This does not mean the symmetry does not exist, it simply means the principle of symmetry must define the framework from which the laws arise.
In the mechanism used by Eddington and Torretti to achieve equivalence, we find the removal of time from the mechanics of a system expressed by E=mc^2, expands the dimension space by changing the dimension time to the dimension space. The result, while numerically equivalent is also nonsensical for a system is not a system without time. But the mathematical principle they invoke is quite sound and when reversed, this mechanism reveals something quite real. It reveals a process of physical dynamics that is invisible when time is considered the kinematical evidence of its own existence. If removing time by setting c=1, expands space resulting in a temporally static spatial condition, then it is undeniably true that replacing time reverses this process by condensing space. Removing and replacing time in E=mc^2 is obviously a conceptual mechanism not a protracted, physically real event. But this concept reveals the expansion and condensation of space is in principle, as defined by the principle of relativity as a measure of time, a very real process. With this conceptual change of ontological entities where the process of space condensing is the dynamic we call time - time becomes the universal dynamic of a background independent field. It does not take time for space to condense, the condensation of space is time. The condensation of space is not observed in classical mechanics, instead what is observed is the passage of time. If we choose to observe the condensation of space we can, as did Eddington and Torretti , set c=1. Or, as did Einstein and Enfeld, measure differing quantities of space by setting time to a universal constant. In both cases, we find the dynamic we call time creates a region of increased strength in a field of space-time, a condition we call matter, the strength of which we call mass. We now have a definition of time that is, as we will see, a dynamic that not only upholds the laws of physics through the symmetry of its reversal, but explains the temporal bias of the second law as a necessary and natural dynamical bias. We also have a numerical value for this process that is a specific and relative rate of condensation that defines the spatial-temporal dimension we call mass, a definition that gives physically real value to Einstein and Enfeld’s delineation of matter and energy. The numerical value is exactly the value removed by Eddington and Torretti, the same value we replaced to see the model, it is of course c, the constancy of which is now not only an observational translation of kinematical measure, but a dynamical translation of dimension. The constancy of c is the axis of symmetry between energy and mass, a numerically falsifiable and relative measure of motion that determines our qualitative delineation of the transformation of space-time to mass.

[3] Francisco Flores - The Equivalence of Mass and Energy - 2004, Stanford Encyclopedia of Philosophy.
 
  • #33
The kinematics of events is evidence of the persistence of time
Gobbledegook. I'm disappointed, I thought you were going to come up with something better than pages of handwaving.
 
  • #34
Mentz114, I take it from your remark you didn't read more than the first sentence. If you had you would have realized a new definition of time, one that makes our present definition - the first sentence - the Gobbledegook.
 

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