Why do we need particles in our theories?

lottery
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One thing I don't understand is that most of our theories include particles...the oversimplified analogy is, of course, balls on a billiard table. Even the "theory of everything" or String Theory/M-theory tries to explain everything with one particle and one force. My question is this...why do we need particles anyhow...they seem to get in the way of everything. Can't we just be a universe of forces and no particles per se?
 
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For a while in the early 20th century, scientists believed that the atom was like plum pudding, a plumb of one charge surrounded by pudding of opposite charge. In 1909, Rutherford scattered alpha particles off of thin gold foil, and discovered something very small and very "hard", meaning a "particle" called a nucleus. In the 1950's, Hofstadter cataloged nuclear sizes by electron scattering. So how can we have forces that don't ever represent finite size objects like nuclei, protons, neutrons. etc.?
Bob S
 
At the end of the day we don't actually measure a particle. We measure a force applied to the particle. I don't see the need for "building blocks" in our physical universe.
 
At the end of the day we don't actually measure a particle. We have no idea that it exists...it's a garbage pail variable incorporating a number of concepts that we don't understand. What is the physical basis for it's existence other than empirical observation. Does it make sense that the entire contents of a galaxy can be squished down to an infinitely small volume...those ain't building blocks, in my opinion. We measure a force applied to the particle. I don't see the need for "building blocks" in our physical universe. I guess, what I am asking is the fundamental question what are the data that says mass is a true entity. How do we know that we didn't make it up simply defining subconsciously as M=F/A (though it is taught as F=M*A)...I don't see the need for M...can't we just get rid of it and in it's place have F'/A'=F/A?
 
What about luminosity? M^3.5 how can that be used when mass is taken away.
I think particles help people visualize the universe and how it works. Take quarks for example, they help us understand protons and neutrons with up, down, etc. In turn, protons and neutrons help us understand atoms, and atoms help us understand elements and so on. How easy would it be to teach high schoolers chemistry using only the weak nuclear force and other extremely complicated forces?
 
Definitely, for teaching purposes, billiard balls are definitely convenient. But for explaining black holes and quantum mechanics the whole thing breaks down. I will, however, take some time to read about your other suggestions in the physics world where "mass" may be necessary.
 
Depends on what you mean by "particles," if I can oversimplify things significantly. It seems to me like you're suggesting that the mathematical constructs themselves -- things like tensors or wavefunctions -- become the fundamental aspects of scientific theories...as opposed to the actual objects that occur in reality, which are described by those constructs. But again, I'm not sure if I'm interpreting you correctly since a lot of this conversation depends on that one word "particle."
 
lottery said:
What is the physical basis for it's existence other than empirical observation.

Isn't that enough?
 
lottery said:
One thing I don't understand is that most of our theories include particles...the oversimplified analogy is, of course, balls on a billiard table. Even the "theory of everything" or String Theory/M-theory tries to explain everything with one particle and one force. My question is this...why do we need particles anyhow...they seem to get in the way of everything. Can't we just be a universe of forces and no particles per se?

I felt your pain, years ago. Then I did a lot of schooling on the subject...
A sub-atomic particle really isn't a particle per se; it's (take your pick of 'particle') actually both a particle and a wave--I mean, all of them! Protons, nutrinos, electrons, and yes, even photons are both particle in nature and wavelike in nature. This is called, 'particle/wave duality'.
Why must we have this particle/wave duality? Because of a very thorny aspect of the quantum world called, 'uncertainty', that's why. To elaborate, when we try to measure an electron, for example, we may know the electron's momentum, but are uncertain about its position in space. Conversely, we may know by observation the electron's position, but are uncertain about its momentum. This is because our measuring of the electron has the effect of disturbing the observation. In fact, a Physicist (Werner Heisenberg) came up with an equation to describe this uncertainty, and called it the 'uncertainty principle'. The uncertainty principle:
0a1c02498125a255a2f5b0e58908a8ae.png


As for mass, it can simply be defined as, "A resistance to a change in motion," thus it's a dimensionless unit. The wavefunction for mass is called the Higgs Boson and is a sub-atomic particle/wave.
 
  • #10
Thanks for your reply. I'll have to ponder the concept of mass being defined as anything that resists change...interesting concept...I like the fact that it is unitless. Never could understand "kilogram" - what the heck is that metaphysically speaking. Let me take that and do a layman review of quantum mechanics and so if that makes more sense. Appreciate it.
 
  • #11
Vanadium 50 said:
Isn't that enough?
In reference to empirically derived formulas.

I get nauseated when I see an empirically derived formula...they tell us very little. The ideal gas law PV=nRT, does a decent job at cranking out accurate numbers...doesn't do a thing for telling us how gases behave at the atomic level. Well, that is until you start to compare it to the real gas law which has a physical basis for derivation and starts to tell you something about atomic particle behaviour.
 
  • #12
lottery said:
In reference to empirically derived formulas.

I get nauseated when I see an empirically derived formula...they tell us very little. The ideal gas law PV=nRT, does a decent job at cranking out accurate numbers...doesn't do a thing for telling us how gases behave at the atomic level. Well, that is until you start to compare it to the real gas law which has a physical basis for derivation and starts to tell you something about atomic particle behaviour.

In the end, all equations are empirical when you get down low enough. For example, we do not know why Pauli's Exclusion Principle is true, but we know from experimental evidence that it holds for fermions (well, that's a bit by definition but) to the best of our knowledge. The very basics of physics are defined and supported empirically. We use particles because that explains practically everything from non-relativistic quantum mechanics and beyond. It is only in relativistic quantum mechanics, like quantum field theory that we start to really diverge from the particle idea. But then, we replace "particles" with "quanta" and still retain some of the basic ideas about particles. All matter and substance in the Universe are fields, but their interaction is done by quantization of fields. These quanta interact in the form of particles in the classical system.
 
  • #13
Born2bwire said:
In the end, all equations are empirical when you get down low enough. For example, we do not know why Pauli's Exclusion Principle is true, but we know from experimental evidence that it holds for fermions (well, that's a bit by definition but) to the best of our knowledge. The very basics of physics are defined and supported empirically. We use particles because that explains practically everything from non-relativistic quantum mechanics and beyond. It is only in relativistic quantum mechanics, like quantum field theory that we start to really diverge from the particle idea. But then, we replace "particles" with "quanta" and still retain some of the basic ideas about particles. All matter and substance in the Universe are fields, but their interaction is done by quantization of fields. These quanta interact in the form of particles in the classical system.

:smile: I think that is why I majored in chemistry...less empirically derived formulas...but the questions physics seeks to answer are definitely funner to think about. Point well made. Though, string theory is not empirically derived which is probably why, in my opinion, it has attracted a lot of attention.
 
  • #14
lottery said:
One thing I don't understand is that most of our theories include particles...the oversimplified analogy is, of course, balls on a billiard table. Even the "theory of everything" or String Theory/M-theory tries to explain everything with one particle and one force. My question is this...why do we need particles anyhow...they seem to get in the way of everything. Can't we just be a universe of forces and no particles per se?

There are several branches of physics that do not deal with discrete particles: thermodynamics, continuum mechanics, general relativity. They work just fine.
 
  • #15
lottery said:
:smile: I think that is why I majored in chemistry...less empirically derived formulas...

:confused:
There is such a thing as non empirical chem.I only took the intro chem and intro organic courses but i can't think of a concept in chemistry that is not completely empirically derived.In physics some of the concepts and equations may be derived from axioms just like mathematical theorems but in the end they must agree with the observations. As for the existence of particle I think the problem is that you try to apply the regular meaning of the word particle to atomic particles.We only use the word because it is convenient. In truth a physical particles is a thing in itself with a set of properties that we can clearly observe and define therefore we can say that it exist.
 
  • #16
For the very small things what would be better then a particle to explain it? Its basically just a very tiny unit of matter. If the very tiny things do have matter it may turn out they are not very point like at all but the difference from where we are standing between a point particle and what actually exists could be fairly small.
 
  • #17
bp_psy said:
:confused:
There is such a thing as non empirical chem.I only took the intro chem and intro organic courses but i can't think of a concept in chemistry that is not completely empirically derived.In physics some of the concepts and equations may be derived from axioms just like mathematical theorems but in the end they must agree with the observations. As for the existence of particle I think the problem is that you try to apply the regular meaning of the word particle to atomic particles.We only use the word because it is convenient. In truth a physical particles is a thing in itself with a set of properties that we can clearly observe and define therefore we can say that it exist.

Generally speaking, the intro chem courses are based on empirical data. It's not until you get into the later courses where they basically tell you that the stuff you learned in the first year isn't quite accurate. The subsequent chem courses try to use basic concepts to derive formulas that match the data. Whereas empirically driven formulas, there is less derivation and more focus on the formula matching the data.
 
  • #18
magpies said:
For the very small things what would be better then a particle to explain it? Its basically just a very tiny unit of matter. If the very tiny things do have matter it may turn out they are not very point like at all but the difference from where we are standing between a point particle and what actually exists could be fairly small.

I think you are answering your own question...we have the concept of mass because it is convenient and works real well in the Newtonian world...it does not tell you anything about the universe...granted that is a very tall order to come up with a formula that actually gives us insight. What is a kilogram? You can't break it down any further...it's not like acceleration which can be defined as deltaV/deltaT...and thenvelocity can be further defined as d/time...well we know what distance is and we know what time is. There's no mystery behind acceleration. You can't do the same thing with a kilogram. And I would argue that since we perceive or universe through forces, that you don't need mass, just forces.
 
  • #19
Cryxic said:
Depends on what you mean by "particles," if I can oversimplify things significantly. It seems to me like you're suggesting that the mathematical constructs themselves -- things like tensors or wavefunctions -- become the fundamental aspects of scientific theories...as opposed to the actual objects that occur in reality, which are described by those constructs. But again, I'm not sure if I'm interpreting you correctly since a lot of this conversation depends on that one word "particle."

How would you define particle/mass...someone on this thread suggested anything that resists change and that seems reasonable...perhaps a little too inclusive, but it's the best thing that I can digest conceptually.
 
  • #20
lottery said:
I think you are answering your own question...we have the concept of mass because it is convenient and works real well in the Newtonian world...it does not tell you anything about the universe...granted that is a very tall order to come up with a formula that actually gives us insight. What is a kilogram? You can't break it down any further...it's not like acceleration which can be defined as deltaV/deltaT...and thenvelocity can be further defined as d/time...well we know what distance is and we know what time is. There's no mystery behind acceleration. You can't do the same thing with a kilogram. And I would argue that since we perceive or universe through forces, that you don't need mass, just forces.

It seems like you are asking about the conceptual foundations of empirical science (which includes all of science except for mathematics). It is true that 'mass' has no axiomatic foundation (as opposed to, for example, length, which can be defined axiomatically from purely mathematical objects) and that the standard kilogram is one a very few remaining standards still defined by a physical object (I think the Ohm, Candle, and Kelvin are as well). That does not support a claim that we therefore know nothing about the universe.
 
  • #21
Andy Resnick said:
It seems like you are asking about the conceptual foundations of empirical science (which includes all of science except for mathematics). It is true that 'mass' has no axiomatic foundation (as opposed to, for example, length, which can be defined axiomatically from purely mathematical objects) and that the standard kilogram is one a very few remaining standards still defined by a physical object (I think the Ohm, Candle, and Kelvin are as well). That does not support a claim that we therefore know nothing about the universe.

Thanks for putting the real scientific terms behind a lot of questions I am asking...it is making it easier to look things up. Before I go any further, I am not trying question the very foundations of science...I fully recognize that I need to reading in many areas. Having said that, the other standards that are defined by a physical object that you mentioned do have working models behind them. Kelvin - Model says that a Kelvin is a measure of how fast atoms vibrates. Ohm - well there are electrons around a nucleus and resistance is a measure of how tightly bound the outermost electrons are (I believe that is correct). Now, whether these models are correct or not, who really knows and it would take decades of study to answer that question. But they are accurate enough that they tell us about our universe. Now, what is the model of a kilogram mass - without trying to be fascetious, in my textbooks, it's usually a filled in circle...not a very complex, active and working model...it looks more like a garbage pail of a multitude of concepts that we don't know about. That is my rationale for saying the concept of mass doesn't tell us anything about our universe.

Also, I want to clarify what I consider to be empirical vs non-empirical science. A mathematially driven formula arising from a simple model that matches our observations is not what I consider empircal. However, a formula that does not have a simple model behind it but matches data is an empirically driven formula. I am not sure if I have it entirely correct or not.
 
  • #22
I'm not sure I understand you. The reason there is a standard Ohm is the same reason there is a standard kilogram: if I wanted to make a 1-ohm resistor in my lab, I would have to compare it to another physical object. This is *very* different than if I wanted to make a 1-meter ruler, which I can do without recourse to comparison with another physical object. In fact, NIST is trying to come up with better physical standards of mass and resistance (I don't know about temperature and radiance) that do not depend on comparison with other physical objects.

Having a model that consists of abstracted properties of real objects is how empirical science works- verifying the models, extending and refining the models, is the true aim of science. Models can't be 'really correct or not', there is a limited domain of applicability. Enunciating that domain is essential. Curve-fitting is not science- it's phenomenology.
 
  • #23
I'm new to the forum so this might sound stupid:
Can you not define mass by the curvature of space-time it creates ?
I don't know GR very well but I think the curvature can be viewed only as a mathematical entity and it depends only on the mass that created it.
 
  • #24
It's not a stupid question. The curvature is a measure of the local *energy* density, tho.
 
  • #25
lottery said:
In reference to empirically derived formulas.

I get nauseated when I see an empirically derived formula...they tell us very little.

What about the conservation of energy? Isn't that empirically derived? And yet it says so much.
 
  • #26
Force is defined as a Kilogram*Meter/Seconds^2

So, how would you define force, if you didn't defind mass first?


The existence of force directly requires mass.
 
  • #27
lottery said:
Also, I want to clarify what I consider to be empirical vs non-empirical science. A mathematially driven formula arising from a simple model that matches our observations is not what I consider empircal. However, a formula that does not have a simple model behind it but matches data is an empirically driven formula. I am not sure if I have it entirely correct or not.

How does that not make it empirical? and what is your definition of a "simple model"?
I'm pretty sure that it's the other way around when people talk about whether chemistry or physics was more experimental
 
  • #28
It's been argued that particles are impossible entities (but useful approximations). There may not even be any such thing as a real particle. Operating under the assumption that there are basic particles has obviously been wildly successful though. This may, however, be similar to how Newton's Laws were assumed to be absolute truth and were (are) wildly successful :smile:.

See http://arxiv.org/abs/quant-ph/0103041, for example.
 
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  • #29
EvilTesla said:
Force is defined as a Kilogram*Meter/Seconds^2

So, how would you define force, if you didn't defind mass first?The existence of force directly requires mass.

And the existence of mass directly requires force. What evidence do you have for mass except for the forces massive objects exert?

Our definitions are arbitrary. Definitions cannot imply existence, and all definitions rely circularly on other arbitrary definitions.
 
  • #30
Then I must ask, what is being mesured by a scale?

scales are mesuring SOMETHING. That is undeniable. We just happen to give this quantity the name "mass"

are you arguing that a scale doesn't measure anything? Or that we have given this quantity the wrong name?
 
  • #31
EvilTesla said:
Then I must ask, what is being mesured by a scale?

scales are mesuring SOMETHING. That is undeniable. We just happen to give this quantity the name "mass"

are you arguing that a scale doesn't measure anything? Or that we have given this quantity the wrong name?

I just meant to point out that the chicken and egg game turns into just that... You can't define mass without force, and you can't define force without mass. Neither is prior to the other. They are both part of an arbitrary set of definitions we came up with, that may or may not be representative of reality.

In the case of force and mass, however, I think we can safely say that they are at minimum sufficiently accurate approximations of reality.
 
  • #32
lottery said:
I guess, what I am asking is the fundamental question what are the data that says mass is a true entity. How do we know that we didn't make it up simply defining subconsciously as...

This is one question I can answer: We don't know for sure. It's literally logically impossible for us to know for sure. We could even be living in the matrix and would never know it. The problem is, for the physical world, we rely on induction. There is a similar discussion in the philosophy forum: https://www.physicsforums.com/showthread.php?t=360067.

In science, we have realized that we can't know anything for sure, so we have to settle for the best that we can get. Theoretically, we rely on concepts like Occam's razor and falsifiability to decide on which theory we go with. Falsifiability is basically the idea that in science we need not prove something right, we just have to not prove it wrong.

If you are interested in more, look up the problem of induction and some basic philosophy of science readings (http://plato.stanford.edu/entries/scientific-realism/ may or may not be a little dense). You can find information on falsifiability at http://plato.stanford.edu/entries/popper/#BacHisTho. Thomas Kuhn is another famous philosopher of science: http://plato.stanford.edu/entries/thomas-kuhn/. You may have heard of his "The Structure of Scientific Revolutions" (http://en.wikipedia.org/wiki/The_Structure_of_Scientific_Revolutions).

Edit: Wikipedia actually has a good intro page at http://en.wikipedia.org/wiki/Philosophy_of_science.
 
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  • #33
Andy Resnick said:
I'm not sure I understand you. The reason there is a standard Ohm is the same reason there is a standard kilogram: if I wanted to make a 1-ohm resistor in my lab, I would have to compare it to another physical object. This is *very* different than if I wanted to make a 1-meter ruler, which I can do without recourse to comparison with another physical object. In fact, NIST is trying to come up with better physical standards of mass and resistance (I don't know about temperature and radiance) that do not depend on comparison with other physical objects.

How would you go about making a meter stick without comparing it to another object?
 
  • #34
interference fringes. I can construct an interferometer that has a fringe contrast as a maximum when the path difference is a meter (It's not easy, but that's not the point). That is completely different with me taking a lump of matter and fashioning it into a kilogram mass. The first I can do with mirrors and (for example) a rubidium cell; the second requires comparison with a 'standard'- which is the same as a 'calibrated' scale.
 
  • #35
Andy Resnick said:
interference fringes. I can construct an interferometer that has a fringe contrast as a maximum when the path difference is a meter (It's not easy, but that's not the point). That is completely different with me taking a lump of matter and fashioning it into a kilogram mass. The first I can do with mirrors and (for example) a rubidium cell; the second requires comparison with a 'standard'- which is the same as a 'calibrated' scale.

Aren't you still comparing your new meter stick to the lengths of your rubidium cell and mirrors :wink:? We can define units in terms of each other down to some fundamental levels, but there will always be some arbitrary point of reference. For the sake of argument, even if we could define length, resistance, and temperature in terms of mass, we would still need some lump of mass to define resistance - we just won't need a lump of mass and a random resistor.

Wikipedia talks about this briefly at http://en.wikipedia.org/wiki/Fundamental_unit.
 
  • #36
kote said:
Aren't you still comparing your new meter stick to the lengths of your rubidium cell and mirrors ?

The idea is, I think, that if we would be in radio-contact with extra-terrestrials, would we be able to discuss physics? Would be be able to replicate on Earth their unit of distance? Well, if the laws of physics are the same in their region of the universe then we would. Our unit of length, the meter, is defined in terms of physical properties. One meter of length is defined as the distance traveled by light in free space in 1⁄299,792,458 of a second.
The unit of time is defined as a 'the duration of 9,192,631,770 periods of the radiation corresponding to the transition between the two hyperfine levels of the ground state of the caesium 133 atom.'
The number of cycles can be counted precisely.

Unfortunately, defining a unit of matter quantity in terms of physical properties only is quite difficult. It's difficult to count large numbers of atoms precisely. You would have to narrow down Avogadro's number to a particular value, and then define a unit of mass as Avogadro's number of atoms of a particular element. But the elements come in isotopes, and you would have to know the isotope composition of your sample exactly.

Assuming the laws of physics are the same in different regions of the Universe a specific unit of length can be replicated everywhere, but replicating a specific unit of matter quantity poses challenges.

Cleonis
 
  • #37
lottery said:
My question is this...why do we need particles anyhow...

Hi Lottery,

I have read your messages in this thread, and overall I get the impression that you yearn for exhaustive answers.

As several contributors have pointed out, effectively the concept of particles as fundamental physical constituents has been abandoned. The word 'particle' is still used, indeed the very concept of particle is still used, but the development of quantum physics has placed the concept of 'particle' in the context of particle/wave duality.

Before quantum physics scientists may have expected that their understanding of the world was exhaustive, or nearly so. They may well have expected that at atomic level physics can be understood with the principles that we have intuited from macroscopic physics, the physics of daily life. Quantum physics changed all that; the microscopic world of particle/wave duality is an alien world.

I think that overall scientist have taken a step back, and that they have decided that pushing for exhaustive understanding is like looking for the proverbial pot of gold at the end of rainbow. The question whether particles exist or not is regarded as moot. The concept of particle is used as a mental tool, a tool for visualizing and thinking, just like the mathematical tools that are in use.

Generally I think physicists have retreated to a position where they only demand that the theories account for the observations in a wide scope of applicability. In comparing theories the theory with the wider scope of applicability is regarded as superior.

Cleonis
 
  • #38
kote said:
Aren't you still comparing your new meter stick to the lengths of your rubidium cell and mirrors :wink:? We can define units in terms of each other down to some fundamental levels, but there will always be some arbitrary point of reference. For the sake of argument, even if we could define length, resistance, and temperature in terms of mass, we would still need some lump of mass to define resistance - we just won't need a lump of mass and a random resistor.

Wikipedia talks about this briefly at http://en.wikipedia.org/wiki/Fundamental_unit.

That's incorrect. Construction of a length standard (or a standard clock) has nothing to do with calibration or comparison of lengths (or times)- the standard time or length interval is based on the speed of light, which is independent of clock or ruler. There is no deeper, "more fundamental", operational definition of length and time because the speed of light in vacuum is not based on an arbitrary point of reference.

The mass standard, resistance standard, and temperature standard are qualitatively different because the depend on the existence of an arbitrary object. That object must be *extremely* stable, because any changes that occur to it over time will be interpreted as drifting by the secondary standards (and the instruments calibrated by comparison to the secondaries, etc. etc). This is the motivation for re-defining the kilogram in terms of "more fundamental" concepts:

http://www.nist.gov/public_affairs/gallery/kilogram.htm

Note: it says the kilogram is the only physical standard left, but it's not clear about the other standards I mentioned:

http://www.nist.gov/eeel/quantum/fundamental_electrical/ohm.cfm
http://physics.nist.gov/cuu/Units/candela.html
http://physics.nist.gov/cuu/Units/kelvin.html
 
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  • #39
Andy Resnick said:
That's incorrect. Construction of a length standard (or a standard clock) has nothing to do with calibration or comparison of lengths (or times)- the standard time or length interval is based on the speed of light, which is independent of clock or ruler. There is no deeper, "more fundamental", operational definition of length and time because the speed of light in vacuum is not based on an arbitrary point of reference.

The mass standard, resistance standard, and temperature standard are qualitatively different because the depend on the existence of an arbitrary object. That object must be *extremely* stable, because any changes that occur to it over time will be interpreted as drifting by the secondary standards (and the instruments calibrated by comparison to the secondaries, etc. etc). This is the motivation for re-defining the kilogram in terms of "more fundamental" concepts:

http://www.nist.gov/public_affairs/gallery/kilogram.htm

Note: it says the kilogram is the only physical standard left, but it's not clear about the other standards I mentioned:

http://www.nist.gov/eeel/quantum/fundamental_electrical/ohm.cfm
http://physics.nist.gov/cuu/Units/candela.html
http://physics.nist.gov/cuu/Units/kelvin.html

Okay, so they "electronic kilogram" uses the "separate systems in the laboratory [that] determine reference levels for voltage and gravity" instead of a reference lump of matter. How is that different than what I just mentioned? We're defining just mass in terms of reference electrical systems. What exactly did I say that was incorrect?

I understand the problem with having a lump of mass as the standard. You're talking about engineering practical methods for coming up with stable ways of maintaining the standards. That doesn't change the fact that when you make a meter stick you will do so by comparing it to something, which is all that's been suggested. There's literally no other way to do it.
 
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  • #40
To the OP, it is not that we "need" particles in our theories, but the modern theories with the most accurate predictions have particles. If someone makes a more accurate theory without particles then that theory will overtake the particle-based theories. That is just how science works.
 
  • #41
I see nothing wrong with empirical formulas. They tell us a great deal and they create a path forward for more rigorous theory. The ideal gas law was developed by completely empirical methods but was later proven with kinetic theory and can be derived with modern thermodynamics given the same assumptions.
 
  • #42
kote said:
Okay, so they "electronic kilogram" uses the "separate systems in the laboratory [that] determine reference levels for voltage and gravity" instead of a reference lump of matter. How is that different than what I just mentioned? We're defining just mass in terms of reference electrical systems. What exactly did I say that was incorrect?

I understand the problem with having a lump of mass as the standard. You're talking about engineering practical methods for coming up with stable ways of maintaining the standards. That doesn't change the fact that when you make a meter stick you will do so by comparing it to something, which is all that's been suggested. There's literally no other way to do it.

You incorrect because the unit of length does not require a length standard. The measurement of a second does not require a time standard. I can construct a primary standard of length or time in my lab; not so mass or resistance.
 
  • #43
Charge holds everything together. Only particles have charge. So we need particles.
Bob S
 
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