Time in the reference frame of the photon and aswell curved spac

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SUMMARY

This discussion explores the conceptual implications of time and gravity in the context of special relativity (SR) and general relativity (GR). The original poster questions whether time exists for a photon traveling at the speed of light (c) and whether curved spacetime adequately explains gravity. Responses clarify that there is no valid reference frame for a photon, as it leads to self-contradiction. Additionally, the concept of tidal gravity is introduced as a means of experimentally validating curved spacetime, emphasizing that motion through time can influence motion through space.

PREREQUISITES
  • Understanding of special relativity (SR) principles
  • Familiarity with general relativity (GR) concepts
  • Knowledge of the speed of light (c) and its implications
  • Basic grasp of tidal gravity and its experimental proofs
NEXT STEPS
  • Research the implications of time dilation in special relativity
  • Study the concept of tidal gravity and its experimental validations
  • Explore the limitations of the rubber sheet analogy in explaining curved spacetime
  • Investigate the philosophical implications of time and simultaneity in physics
USEFUL FOR

Physics students, researchers in theoretical physics, and anyone interested in the foundational concepts of time and gravity in relativity theory.

  • #31
Nugatory said:
Entropy has a precise mathematical definition. Use that definition, and you'll find yourself agreeing with DaleSpam.

It can do. The 2nd law itself is not this, the mathematic defination is quantum statistical mechanics attempt to explain the law, but it is not the law in itself.

The "arrow of time" stuff is about using that definition of entropy to explain why some physical processes (a swinging pendulum, for example) can be played backwards to get back to the initial conditions; while others (the eggs are broken, beaten with a fork, poured into the omelet pan, cooked, and eaten) cannot.

The pendulum, as a whole, "closed or isolated" system, cannot be "played backwards", because the energy spent has been equalised already (the kinetic energy, tranformed from the chemical energy we eat for example, if you push it with your hands, or wind up a mechanism has already been equalised)

The constantly swinging pendulum, in any given state, does not tell us how much time has passed, if any, if we encounter it for the first time, or look at it in totally random intervals, unless we carefully track the energy and motion expended/equalized (for example via the clock face).

I don't think the thermodynamic arrow of time is "an explanation". It's something we observe about time, that it runs "forwards" not "backwards" which can be defined precisely by the 2nd law. In that sense, it seems to be more of a feature.

Statistical mechanics offer no actual explanation for why the arrow exists in the direction it functions in, it attempts to explain the 2nd law within time, not the arrow of time itself.

I have heard an explanation of why the arrow runs forward, but its outside the scope of this forum.

Keep in mind, the 2nd law is supposed to apply only to closed or isolated systems. We can't define something that interacts with something else, as being closed or isolated on its own. Mathematical or conceptual abstractions might be misleading here.
 
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  • #32
Curious45 said:
The pendulum, as a whole, "closed or isolated" system, cannot be "played backwards", because the energy spent has been equalised already (the kinetic energy, tranformed from the chemical energy we eat for example, if you push it with your hands, or wind up a mechanism has already been equalised)

The constantly swinging pendulum, in any given state, does not tell us how much time has passed, if any, if we encounter it for the first time, or look at it in totally random intervals, unless we carefully track the energy and motion expended/equalized (for example via the clock face).

Statistical mechanics offer no actual explanation for why the arrow exists in the direction it functions in, it attempts to explain the 2nd law within time, not the arrow of time itself.

1. a pendulum in vacuum is not a dissipative system. It will go on forever. Entropy is staying constant which is allowed in thermodynamics.

2. statistical mechanics does explain the relationship between entropy and time. Its used all the time in chemistry for just that.
 
  • #33
chill_factor said:
1. a pendulum in vacuum is not a dissipative system. It will go on forever. Entropy is staying constant which is allowed in thermodynamics.

Presumably you have not tested this, lol.

A pendulum, alone, in a "vacuum" (vacuum isn't really empty either), in a completely closed system, not only, by its macroscopic movements (because entropy is microscopic too), cannot be used to measure time (because there's nothing converting an energy expendature into a progressive change of some sort, like a clock face, or digital display etc, nor an entropic human memory system to count the ticks), but there is no-one around to take the observe the "measurement" from it either.

This closed system of a pendulum without gravity, mechanical equilibirum, etc, its own center of mass as an object, set in motion, by a theoretical nothing, is basically just a detached mathematical abstraction.

We can't test its reality outside of just math, OR know its relevance to time:

If you could produce a universe, where on the micro and macro scale, entropy was permenantly 100% static with some weird pendulum...could we say there is time? (well no one would be there to say it, lol). We would have no way of defining an arrow of time. And for all intensive purposes, things even changing thusly symmetrically rather than assymetrically, it would also be perpetually cyclic. If we could, without effecting the system take a "picture" at random unknown intervals, we would have no way of how much time had passed.

Personally i get nothing informative or insightful from imagining this abstraction. The 2nd law applies to closed systems, so anything we describe in relation to, say, life here on earth, should be a heck of a lot larger, as a system, than an imaginary pendulum I would think.

statistical mechanics does explain the relationship between entropy and time. Its used all the time in chemistry for just that.

Yes and no, your sort of replying out of the conversational context I seems like. Maybe you were doing the same above, IDK.

Whatever one wants to make of statistical mechanics, it doesn't explain why the arrow of time goes "forward", the whole idea, operates itself within a construct of forward moving time. Thats what I was replying about.

What does attempt to explain, is the broader concept of the 2nd law (which conversely describes the arrow, assymetry, a feature of time, at least time as we know it) in mechanical terms.

The statistical mechanics certainly adds detail in quantum mechanics, and chemistry to the notion of equilibrium, I am just not personally sure if it can be used to describe all the elements of the 2nd law, or not?

At least, I tend to prefer referring to both concepts of entropy, for my idea of entropy, distribution (statistical mechanics), and equilibrium of chemical, mechanical, electrical and energetic etc nature (the 2nd law itself), because, at minimum, the later ideas are easy concepts to check for and think about, without thinking deeply about distribution. Certainly the lack of perpetual motion devices in the real world, or exceptions to the law as written, makes a convenient way to think.

Actually I am curious whether statistical mechanics can be used to explain all/every aspect of the 2nd law? (I guess it probably can, just more difficult to examine each aspect as easily)
 
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  • #34
the pendulum in a sealed airless glass chamber is a non-dissipative system. For all intents and purposes it can go on forever. You can then measure rates with this pendulum in a sealed airless glass chamber. It will only emit isotropic blackbody radiation, which results in no net momentum gain or loss. With a magnetically levitated hinge, even frictional losses can go to zero. therefore it is a clock. Time is thus measured by oscillation periods.

I thought too before that (chemical) entropy and time were related. They aren't. Entropy might still be related to time, but not through molecular degrees of freedom. There may be space-time degrees of freedom.
 
  • #35
chill_factor said:
the pendulum in a sealed airless glass chamber is a non-dissipative system. For all intents and purposes it can go on forever. You can then measure rates with this pendulum in a sealed airless glass chamber. It will only emit isotropic blackbody radiation, which results in no net momentum gain or loss. With a magnetically levitated hinge, even frictional losses can go to zero. therefore it is a clock. Time is thus measured by oscillation periods..

Well even in this abstraction (gravity?), entropy, in the form of human memory (A highly entropy dependent process, presumably watching every "tick"), would still be required to measure the passing of time (or some other external entropic system, like a computer and a camera).

A proper clock doesn't just oscillate with no discernable arrow of time/assymetry, it progressively changes.

Imagine you had no memory (not even short term), and the pendulum had no clock face or measurement process. (Lets ignore the rest of the brains reliance on entropy for this scenario). Would the pendulum still measure time? Would we even have a concept of time? (Ill stop there so this is a hypothetical, rather than speculation)

I thought too before that (chemical) entropy and time were related. They aren't.

Well I suppose if its possible to conceive of an entropyless universe, that still changes, perhaps we can ignore the 2nd law, and its relationship to time. But personally I don't understand this is as automatically valid, as there would be no memory or brains (entropy required processes), so no observers and I still can't say whether such a thing could be described of having time, in the sense that our universe has time. It would be pure abstraction of course.

I feel like when I am imagining such things, I am stretching far outside of the bounds of what is knowable, testable or even imaginable. The closed system I operate in (life) has entropy in its progressive changes.

If there was a way of measuring and observing time, without entropy, logically, I might buy into the notion they are not intertwined concepts. But logically I can't conceive of any way that's possible, in fact it seems entirely illogical.

And when I think of situations without any entropy, if indeed that's possible, I can't really think about them having time, in any conventional sense. Even if they move, the only ones that know about it live in entropic systems, and use entropy to measure it, internally these entropyless systems are sort of static, constantly repeating, "time" symmetrical.

I don't want to get into any real concept of what time might be outside of this, but just for me, when I hear about dilution, and the arrow, as being part of the overall, albiet vague, scientific description of time, I take that literally, conceptually, that these are actual qualities of time. I suppose that's interpretive, but it also seems intuitive, based on observation.

Without these types of qualities, like progressive change, entropy, assymetry, dilution, I am not sure that what I subjectively experience as time, could be applied to any other kind of phenomena proposed as also being time-like.

Whether these descriptions are the best ones, or not, is unknown, as it always is with any model or theory, but they are the best we have at the moment. Maybe we would veiw these as more "hand-wavey" models/descriptions of time, or more literal and true ones, without which time as we know it, would not be.

But when people look at say, relativity, they don't just say "this is what things happen to do, but that says nothing about it", they say "this is the nature of the thing", and they say this with great confidence and emphasis. If we have accepted laws and math that describe time, is it so inappropriate to let the laws and maths speak for the actual phenomena?

IDK if mainstream science has anything like a position on this, though I've heard good, logically coherent, accounts of time from individual scientists.
 
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