Warping of space and special relativity?

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SUMMARY

The discussion centers on the concept of how massive objects warp spacetime, as described by Einstein's General Relativity (GR). Participants clarify that heavier objects warp spacetime more than lighter ones due to their greater mass, which influences gravitational effects. The conversation highlights that spacetime warping occurs locally and is governed by Ricci curvature, while the propagation of these effects is influenced by Weyl curvature. The need for a more comprehensive theory of gravity beyond GR is also emphasized, with references to quantum gravity and alternative theories like Erik Verlinde's "Entropic Gravity."

PREREQUISITES
  • Understanding of General Relativity (GR) principles
  • Familiarity with concepts of mass and gravity
  • Knowledge of Ricci and Weyl curvature in spacetime
  • Basic grasp of quantum mechanics and its relationship to gravity
NEXT STEPS
  • Research the implications of Ricci and Weyl curvature in General Relativity
  • Explore Erik Verlinde's "Entropic Gravity" and its critiques of traditional gravity theories
  • Study the parameterized post-Newtonian (PPN) formalism for comparing gravitational theories
  • Investigate current developments in quantum gravity and its potential to unify GR with quantum mechanics
USEFUL FOR

This discussion is beneficial for physicists, students of theoretical physics, and anyone interested in the complexities of gravity, spacetime, and the ongoing debates surrounding General Relativity and its alternatives.

  • #31
zonde said:
As I see, the problem is that at first sight it looks like relativity is promoting many alternative realities i.e. it is not realistic.
Then you misunderstand relativity.

Do you understand my previous comments about test theories and parameters?
 
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  • #32
elfmotat said:
The test of a good theory is whether or not it makes accurate predictions, and not whether it does or doesn't conform to your naive preconceived notions.
I think this part still holds even if you misinterpreted my post.

And I would like to comment that it is not enough to have confirmed predictions.

You see the thing is that predictions are not made by theory but by people. If practically everyone will come up with the same prediction when using some theory there is no use from hair splitting and we indeed can say that "theory makes predictions".

But if this is not so (different people come up with different predictions) can we say that we have confirmed prediction of a theory?

Let's say that theory is recipe how to come up with prediction. We have person who has made good predictions (we have confirmed them) and here is the recipe from that person how to do that. From skeptical stance we can say that - fine, predictions are good but how do you know that the recipe describes the way how predictions where made. Maybe it has nothing to do with predictions (recipe is red herring), or maybe it does but it is missing some important steps i.e. it is incomplete.
 
  • #33
zonde said:
I think this part still holds even if you misinterpreted my post.

And I would like to comment that it is not enough to have confirmed predictions.

You see the thing is that predictions are not made by theory but by people. If practically everyone will come up with the same prediction when using some theory there is no use from hair splitting and we indeed can say that "theory makes predictions".

But if this is not so (different people come up with different predictions) can we say that we have confirmed prediction of a theory?

Let's say that theory is recipe how to come up with prediction. We have person who has made good predictions (we have confirmed them) and here is the recipe from that person how to do that. From skeptical stance we can say that - fine, predictions are good but how do you know that the recipe describes the way how predictions where made. Maybe it has nothing to do with predictions (recipe is red herring), or maybe it does but it is missing some important steps i.e. it is incomplete.

Let's clarify the difference between subjective or ambiguous predictions versus incorrect predictions.

One can state that GR prediction of singularities is incorrect. One might argue that GR cosmological predictions are dubious because they require dark matter and cosmological constant to match observation (though dark matter is gathering ever more direct observational support; and the cosmological constant is analogous to a constant of integration - it is incorrect to assume it is zero without some motivation).

An ambiguous prediction would be experts differing on what GR says about some real world or well defined hypothetical situation. Can you point to a any instances of this?
 
  • #34
DaleSpam said:
Then you misunderstand relativity.
I misunderstood relativity when I first heard about symmetrical length contraction and time dilation and it was quite some time until I found out that there is third part - "relativity of simultaneity". But I suppose that it was just a brain teaser for me.

DaleSpam said:
Do you understand my previous comments about test theories and parameters?
I understand about parameters. I do not understand why test theory is required (and maybe what it is). If you want to make your point maybe you can give example? What would be test theory in case of Shapiro delay experiment?
 
  • #35
zonde said:
As I see, the problem is that at first sight it looks like relativity is promoting many alternative realities i.e. it is not realistic.
It's a problem, because of Bell's theorem. Though upon re-reading, I'm not sure if that's really what you're trying to say, you didn't mention the theorem explicitly.

To check that person can do this - pick one most complete viewpoint as baseline and at any point when he has suspicions that some alternative viewpoint is not realistic he relates it back to baseline and checks that it still makes sense. We can call this baseline "reality" and this process - "crap filter".

You lost me already. Sorry.

"one most complete viewpoint as baseline" ?? I've no idea what this means.

It sounds like you've already done a lot of processing of what I'd call "raw sensory data" to come up with "one complete viewpoint", though.

Now it seems like "space" and "time" are kind of "hardcoded" terms used for "crap filter" and they are not available for redefinition (from outside). If you are trying to redefine them it might be perceived as attempt to sneak past "crap filter".

If you try to redefine space and time, you're probalby going to wind up with humpty-dumptyism, alas, which is where words mean what you say what they mean, not what they do mean.

So if you want to talk about something that's not space and time, you'll need to come up with your own terms. Unfortunately, whatever abstract philosophical concept you're trying to convey via "crap filter" isn't terribly clear. I was originally thinking "process of perception", but as I try to read more, I'm getting a different interpretation.

I suspect that you've skipped over the process entirely of how to assemble "raw sensory data" into "one complete viewpoint" via some "personal philosophy", and that this is where the problem is.

And of course you can sell nothing to a person before you have passed "crap filter" so there is no use to talk about symmetry of LT or invariance of spacetime intervals at the very start.

Does this sound sensible?

I now think what you're saying is that people come up with a personal philosophy, (i.e. "crap filter" means personal philosophy), and if the personal philosophy that they come up with is incompatible with relativity, they reject relativity, rather than think about whether or not their personal philosophy has problems.

And if we speak about GR it is even claimed that there is no single global reference frame so it appears like there is no way how GR could pass "crap filter". However, I am certain that GR is realistic at least as Einstein conceived it.

I think that reference frames are confusing at best. A simpler but more flexible concept is needed - a concept of a map. The map represents reality, but isn't reality. And there is some process from which you can get out of the map things that you actually can measure, like distances (if you look at nearby points), or perhaps radar signal propgation delays.

And I'd suggest that seriously interested people look at how you can use flat maps to represent the curved surfaces of the Earth, which should be a concrete and practical idea to get familiar with the general process of what I'm calling "maps", and also illustrate how and why you need a metric to convert "map distances" into "measured distances".

http://arxiv.org/abs/gr-qc/9508043

has a very rough overview of this process and the associate philosophy.
 
  • #36
pervect said:
I now think what you're saying is that people come up with a personal philosophy, (i.e. "crap filter" means personal philosophy), and if the personal philosophy that they come up with is incompatible with relativity, they reject relativity, rather than think about whether or not their personal philosophy has problems.
With "crap filter" I was meaning some quality control. Imagine that the person is asking you: "Why should I trust you?", and you are saying: "Ok, close your eyes and I will tell you why." This probably won't work because this is suspicious and not very clear why it is needed.

Likewise about relativity if you want to redefine important concepts before you have proved that you can be trusted (your viewpoint is realistic) it rises suspicions. So if you want to make a point, make it without redefining space and time. If you need some coordinate dependent quantities similar to pre-relativistic space and time call them differently, for example, "clock rate" and "ruler length".
 
  • #37
zonde said:
I understand about parameters. I do not understand why test theory is required (and maybe what it is). If you want to make your point maybe you can give example? What would be test theory in case of Shapiro delay experiment?
For Shapiro delay the test theory would be PPN which I mentioned above. In the PPN formalism the Shapiro delay is proportional to the PPN parameter γ, meaning that a measurement of the Shapiro delay gives a measurement of the PPN parameter γ:
http://en.wikipedia.org/wiki/Shapiro_delay#Time_delay_due_to_light_traveling_around_a_single_mass

If that value is 0 (to within experimental error) then the test supports Newtonian gravity, if the value is 1 (to within experimental error) then the test supports GR.Currently, the experimental data places γ at 1±2.3x10^-5. This confirms GR and falsifies Newtonian gravity:
http://www.nature.com/nature/journal/v425/n6956/full/nature01997.html

zonde said:
With "crap filter" I was meaning some quality control.
The ultimate crap filter in science is experimental evidence. That is how you prove that your viewpoint is realistic and that your redefinitions are worthwhile.
 
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  • #38
zonde said:
Likewise about relativity if you want to redefine important concepts before you have proved that you can be trusted (your viewpoint is realistic) it rises suspicions. So if you want to make a point, make it without redefining space and time.
But a person who gets suspicious about that hasn't understood what science is. So it would make a lot more sense to explain that first and then make the necessary definitions, than to pretend that his views are valid.
 
  • #39
DaleSpam said:
For Shapiro delay the test theory would be PPN which I mentioned above. In the PPN formalism the Shapiro delay is proportional to the PPN parameter γ, meaning that a measurement of the Shapiro delay gives a measurement of the PPN parameter γ:
http://en.wikipedia.org/wiki/Shapiro_delay#Time_delay_due_to_light_traveling_around_a_single_mass
According to wikipedia Shapiro delay is proportional to (1+γ) not γ. But certainly it is enough to have \Delta t to test GR.


DaleSpam said:
If that value is 0 (to within experimental error) then the test supports Newtonian gravity, if the value is 1 (to within experimental error) then the test supports GR.Currently, the experimental data places γ at 1±2.3x10^-5. This confirms GR and falsifies Newtonian gravity:
http://www.nature.com/nature/journal/v425/n6956/full/nature01997.html
Interesting experiment.

DaleSpam said:
The ultimate crap filter in science is experimental evidence. That is how you prove that your viewpoint is realistic and that your redefinitions are worthwhile.
Experiment can not prove that your viewpoint is realistic. Haven't you heard about particle wave duality or quantum entanglement? And how can experiment prove that we have to use particular word in our definition?

I agree that experiment is the ultimate crap filter in science. But unfortunately it can not prove anything, only disprove something.
 
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  • #40
Fredrik said:
But a person who gets suspicious about that hasn't understood what science is. So it would make a lot more sense to explain that first and then make the necessary definitions, than to pretend that his views are valid.
Take math. If we have one variable at two different places and I am not sure it's the same it should be OK to use two different variable names and check that they come together somewhere along derivation as clearly the same variable. There is nothing unscientific about that. The same with definitions. Where is the problem in giving different name for your defined concept and checking that at the end it looks the same as the old one?
 
  • #41
zonde said:
Take math. If we have one variable at two different places and I am not sure it's the same it should be OK to use two different variable names and check that they come together somewhere along derivation as clearly the same variable. There is nothing unscientific about that. The same with definitions. Where is the problem in giving different name for your defined concept and checking that at the end it looks the same as the old one?
If you would prefer to invent a new and non-suggestive term like "flurpiness" for ##(\gamma-1)m## instead of calling it "kinetic energy" when you're trying to explain SR to someone, then I don't have a problem with it. I would however prefer to just explain that it's very common that two theories assign different meanings to the same term.
 
  • #42
zonde said:
According to wikipedia Shapiro delay is proportional to (1+γ) not γ. But certainly it is enough to have \Delta t to test GR.
Oops, you are correct. Thanks.

zonde said:
Experiment can not prove that your viewpoint is realistic.
Sure it does. How else would you prove that it is realistic?

zonde said:
Haven't you heard about particle wave duality or quantum entanglement?
Yes, the related experiments clearly demonstrate that reality is weird.
 
  • #43
zonde said:
With "crap filter" I was meaning some quality control. Imagine that the person is asking you: "Why should I trust you?", and you are saying: "Ok, close your eyes and I will tell you why." This probably won't work because this is suspicious and not very clear why it is needed.

Likewise about relativity if you want to redefine important concepts before you have proved that you can be trusted (your viewpoint is realistic) it rises suspicions. So if you want to make a point, make it without redefining space and time. If you need some coordinate dependent quantities similar to pre-relativistic space and time call them differently, for example, "clock rate" and "ruler length".

I guess my general comment is that if someone's personal "crap filter" is falsely filtering out relativity, their "crap filter" needs a little bit of adjustment. A little bit like someone's mailbox filter putting important messages in the spam container.

Since the only coordinate independent quantity in relativity is the Loretnz interval, any breaking up of the Lorentz interval into a "time difference' and a "space difference" is going to be coordinate dependent. So it's not that we need coordinate dependent quantities for time and distance, it's we can't avoid getting rid of the concept of "universal time", a time that's coordinate independent, because it no longer exists.

A plea to "explain relativity in terms of some "universal time" just like you used to believe in is just not going to work. Sorry.

As far as any obligation to "prove realism", I can't really agree. It appears to me to be the all-too-common case of some personal philosophy (here said philosohpy is being called realism, and may or may not be related to what a philosopher would call realism) is inhibiting the understanding of relativity. It's sad, but I don't think there's much that can be done about it.
 
  • #44
pervect said:
As far as any obligation to "prove realism", I can't really agree. It appears to me to be the all-too-common case of some personal philosophy (here said philosohpy is being called realism, and may or may not be related to what a philosopher would call realism) is inhibiting the understanding of relativity. It's sad, but I don't think there's much that can be done about it.
Well said. That is why experiment is the final arbiter of realism.
 
  • #45
One other comment I have to make. That is the tricky matter - it's possible with enough detachment to work with a theory, to understand it, without totally believing it as an absolute, to think of it as "if this is true, then the rest follows".

It's sort of a hard way to proceed, to believe something enough to see where it leads while keeping one's mind open about the truth of the precondtions.

It's certainly preferrable way to look at relativity this way. In fact that's probably the scientific ideal - to always keep in mind that the premises might be wrong. Just rejecting it out of hand because it doesn't match one's preconceptions really isn't right, though it seems there is a sort of counter-culture that encourages it (why, I don't know). If some of the preconceptions are very strong, it can be hard to overcome them :-(.
 
  • #46
pervect said:
One other comment I have to make. That is the tricky matter - it's possible with enough detachment to work with a theory, to understand it, without totally believing it as an absolute, to think of it as "if this is true, then the rest follows".

It's sort of a hard way to proceed, to believe something enough to see where it leads while keeping one's mind open about the truth of the precondtions.

It's certainly preferrable way to look at relativity this way. In fact that's probably the scientific ideal - to always keep in mind that the premises might be wrong. Just rejecting it out of hand because it doesn't match one's preconceptions really isn't right, though it seems there is a sort of counter-culture that encourages it (why, I don't know). If some of the preconceptions are very strong, it can be hard to overcome them :-(.
I would like to continue discussion from here. You have formulated it much better and more up to the point.

So if the person you are trying to teach about relativity is going the hard way it might be that at some point he can't maintain that detachment and he has to stop to sort things out. It does not mean that he is rejecting relativity, he just can't go at the pace you are pushing him.

But you can go faster (I guess) if you can present your point already in that detached form so that the person has to do less "translation".
 

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