Exploring the Relationship Between Bohmian Mechanics and Spacetime

[PeterDonis]

if we remove spacetime then the distance between all particles will become zero

No, the concept of "distance between particles" will be meaningless. Zero is not meaningless; it's a definite value, and requires a spacetime metric.

 

[Ostrados]

No, the concept of "distance between particles" will be meaningless. Zero is not meaningless; it's a definite value, and requires a spacetime metric.

Ok it will be Null. Better?

 

[PeterDonis]

it will be Null

What does "Null" mean? If it means "meaningless", then yes, the distance between particles will be "Null" (meaningless). But it seems like a roundabout way to say it, since "Null" is ambiguous in this context while "meaningless" is not.

If "Null" means "zero", then no. But I already told you that. So I still don't see the point.

 

[Demystifier]

But the question wasn't "What if the description of nature doesn't need the notion of spacetime or metric?". It was what if they disappear.

Is your point that it is not defined what does it mean to "disappear"? I think it can be well defined. This is a metric $g_{\mu\nu}(t,{\bf x})$ with the property that it is non-zero for $t<t_0$ and zero for $t\geq t_0$, which means that the metric disappears at $t=t_0$.

 

[Demystifier]

The action doesn't, but what happens when you do the path integral?

I don't think that spacetime metric appears in the path integral with topological action.

 

[martinbn]

Is your point that it is not defined what does it mean to "disappear"? I think it can be well defined. This is a metric $g_{\mu\nu}(t,{\bf x})$ with the property that it is non-zero for $t<t_0$ and zero for $t\geq t_0$, which means that the metric disappears at $t=t_0$.

I don't see how becoming zero is the same as disappearing. But if that's what he meant, that's what he should have said. I am convinced it is not what he meant. He talked about the spacetime suddenly disappearing. You also said you had no idea what that meant.

 

[Demystifier]

I don't see how becoming zero is the same as disappearing. But if that's what he meant, that's what he should have said. I am convinced it is not what he meant. He talked about the spacetime suddenly disappearing. You also said you had no idea what that meant.

Initially I had no idea what that meant, but later (post #56) it was clarified.

Anyway, to understand a layman one must make himself think like a layman.

 

[PeterDonis]

I don't think that spacetime metric appears in the path integral with topological action.

Isn't the path integral $\int d^4 x \sqrt{-g} e^{iS}$ in a general curved spacetime? (Without the factor of $\sqrt{-g}$ the integrand is not diffeomorphism invariant.)

 

[Demystifier]

Isn't the path integral $\int d^4 x \sqrt{-g} e^{iS}$ in a general curved spacetime?

No it isn't. Even in Minkowski spacetime, the path integral is not $\int d^4 x e^{iS}$. I guess you should refresh your knowledge about path integrals in QM and QFT.

 

[PeterDonis]

I guess you should refresh your knowledge about path integrals in QM and QFT.

Can you recommend a reference?

 

[vanhees71]

My QFT manuscript contains some basics about path integrals. The introductory chapter is about path-integrals in non-relativistic QT. The QFT case is in Sect. 4.5.

http://th.physik.uni-frankfurt.de/~hees/publ/lect.pdf

 

[Demystifier]

Can you recommend a reference?

I would recommend Ryder
https://www.amazon.com/dp/0521478146/?tag=pfamazon01-20
because it derives in detail the path integral formulation for both QM and QFT.

 

[PeterDonis]

I would recommend Ryder

Thanks!

 

[Daisyroots]

If the world is really described by say Bohmian Mechanics or Objective Collapse. does it mean Spacetime is also objective or a substance in some way or absolutely no relationship between the quantum mechanism and spacetime? But then if no connection.. how can one have a wave function that is actual versus a spacetime that is just computations.. how do they couple to each other?

Hello, I posted the following at #26 without response:

"Hi mieral. It seems to me that, given the circumstance of a collapsed wave function, whether it's an objective collapse or a collapse induced by measurement, sentience is required to objectify the resultant. Wouldn't you say that that, ie. the requisite sentience, is a connecting factor? The sentient being itself of course results from (or constitutes) collapsing wave functions, ie. it isn't as if it's separate from the unfolding events."

I have reflected since on whether in fact sentience (consciousness, or what ever you want to call it) might indeed necessarily be a consequence of collapse or whether it might, in fact, be essentially inherent in the wave function. In other words whether it might not actually be a constituent part of the universe, which yet the world of physics (it seems to me) attempts all the time to leave out, ignore, and/or disregard. Despite that experiments such as the Double Slit evidence that sentience plays an independently hugely significant roll in the world, still the discipline of physics seems uncomfortable with its inclusion in considerations. How is anybody ever going to get anywhere (in real terms) if we are happy to pretend that major factors don't exist?

 

[PeterDonis]

I posted the following at #26 without response

You probably did not get a response because your statement basically amounts to either a personal theory or non-mainstream physics, neither of which are suitable topics of discussion here. The mainstream position, as I understand it, is that "sentience" is a physical process, and can in principle be described in terms of the same fundamental constituents as any other physical process. We don't currently know how to do that in detail, but the same is true for many macroscopic physical processes.

experiments such as the Double Slit evidence that sentience plays an independently hugely significant roll in the world

No, they don't. Measurements are physical processes, and now that we understand decoherence, we understand that those processes are going on all the time, whether there is sentience present or not. Measurements do not require sentient observers, and claims that they do, which were made by many early researchers into QM, are simply outdated.