The Validity of Force and Point Particles in Special Relativity

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The discussion centers on the validity of force and point particles in the context of special relativity (SR) and general relativity (GR). Participants argue that the concepts of force and point particles complicate the understanding of relativistic physics, suggesting that they should be replaced or eliminated in favor of field theories. The conversation highlights the historical link between relativistic mass and classical mechanics, while also noting that relativistic mass can be problematic for calculations in SR. There is a consensus that point particles serve as useful approximations but are not fundamental in GR, where the stress-energy tensor plays a crucial role. Ultimately, the dialogue emphasizes the need for a deeper understanding of mass and force in modern physics, particularly in the context of unifying theories.
  • #61
atyy said:
The reference only claims to show it for quantum GR in very strong gravity (eg. near spacetime singularities), for which it is agreed that GR may not be spin 2.

You are completely confused.

One can read already from page 2 of the reference cited (bold font from mine):

There are many articles and books dealing with GR but only a few papers discuss FTG. Perhaps it is a consequence of wide-spread opinion that FTG is equivalent to GR and hence we need not spend time to study field gravity approach. [...] Indeed in papers of Thirring(1961) and Deser (1970) there were claims that field theory approach is identical with the geometrical one and there are no gravitational effects which could provide grounds to distinguish between them.
[...]
However, as it will be shown here, reality turns out to be much more complex and interesting. Actually GR and FTG are two alternative theories with different bases and different observational predictions. Of course, for the weak gravitational fields, which are available for experiments now, both theories give the same values of the classical
relativistic effects, but they profoundly different in the case of strong gravity, which will be obtainable in near future.

First, FTG and GR agree on weak gravity, are different for intermediate gravity and «profoundly different in the case of strong gravity»

Second, he writes about GR. Nowhere he writes about «quantum GR» as you pretend {*}.

Indeed, the section 3 of the paper is titled «Classical theory of tensor field». The interesting part for this thread is the subsection 3.3 «Thirring and Deser about identity of GR and FTG», where is shown why the previous claims by both about GR being equivalent or derivable from a classical field theory are incorrect.

The «Quantum theory of tensor field» is presented in section 4 {**}, but I repeat, the proof that GR (a classical theory) is not equivalent to the classical field theory of gravity is given before in section 3.

The 'derivations' presented here by Deser, Schieve, and other people are incorrect: GR is not equivalent to a field theory of gravity (FTG).

{*} Moreover, does not exist a consistent and accepted «quantum GR».

{**} There exists a classical FTG and a quantum FTG, somewhat as there exists a classical electrodynamics and a quantum electrodynamics.
 
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  • #62
juanrga said:
You are completely confused.

One can read already from page 2 of the reference cited (bold font from mine):
First, FTG and GR agree on weak gravity, are different for intermediate gravity and «profoundly different in the case of strong gravity»

Second, he writes about GR. Nowhere he writes about «quantum GR» as you pretend {*}.

Indeed, the section 3 of the paper is titled «Classical theory of tensor field». The interesting part for this thread is the subsection 3.3 «Thirring and Deser about identity of GR and FTG», where is shown why the previous claims by both about GR being equivalent or derivable from a classical field theory are incorrect.

The «Quantum theory of tensor field» is presented in section 4 {**}, but I repeat, the proof that GR (a classical theory) is not equivalent to the classical field theory of gravity is given before in section 3.

The 'derivations' presented here by Deser, Schieve, and other people are incorrect: GR is not equivalent to a field theory of gravity (FTG).

{*} Moreover, does not exist a consistent and accepted «quantum GR».

{**} There exists a classical FTG and a quantum FTG, somewhat as there exists a classical electrodynamics and a quantum electrodynamics.

Yes, you are probably right about what Baryshev intends to claim, maybe not from this paper, but I looked at some of his other papers, and he says what you say he does pretty clearly. In http://arxiv.org/abs/0809.2323 Baryshev cites Straumann as providing caveats about the equivalence of GR and FTG. Straumann's caveats seem pretty standard. Is Baryshev saying anything that Straumann or eg. Ortin are not saying? As I understand, the major restriction for the equivalence of FTG and GR is that the GR spacetime needs a nice topology and can be covered by nice coordinates like harmonic coordinates
 
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  • #63
atyy said:
Yes, you are probably right about what Baryshev intends to claim, maybe not from this paper, but I looked at some of his other papers, and he says what you say he does pretty clearly. In http://arxiv.org/abs/0809.2323 Baryshev cites Straumann as providing caveats about the equivalence of GR and FTG. Straumann's caveats seem pretty standard. Is Baryshev saying anything that Straumann or eg. Ortin are not saying? As I understand, the major restriction for the equivalence of FTG and GR is that the GR spacetime needs a nice topology and can be covered by nice coordinates like harmonic coordinates

Well it seems to me that the first paper cited before and the quotations given are pretty clear:

Baryshev said:
Actually GR and FTG are two alternative theories with different bases and different observational predictions

I cannot imagine how someone would misread that as «GR and FTG are the same theory».

Regarding the new preprint 0809 that you cite, the appeal to Straumann point is correct. Straumann point about BHs is close to the criticism done by Wald (in his famous textbook) against string theory. String theory starts from the incorrect supposition that (GR = spin-2 theory) but then defines causality (e.g. in the S-matrix) with regard to the original flat background instead of with regard to the GR real metric. Therefore it cannot be equivalent to GR.

However, the criticism done by Baryshev in the first paper cited before is more complete and applies beyond BHs.
 

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