Does every possible path = every possible observer?

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Discussion Overview

The discussion revolves around the interpretation of Feynman path integrals in quantum mechanics, particularly whether each path could represent perspectives from different observers in varying frames of reference. Participants explore the implications of observer dependence and the nature of paths in relation to spacetime and light cones.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant suggests that each path in a Feynman path integral might correspond to a different observer's perspective, especially in accelerating frames of reference.
  • Another participant counters that Feynman's formulation does not include observers, emphasizing the strength of this aspect.
  • A participant proposes that the term "observer" could be replaced with "perspective," which might allow for paths that are not limited by light cones.
  • There is a discussion about the implications of paths potentially going faster than light or reversing in time, raising questions about the emergence of the speed of light from these perspectives.
  • One participant clarifies that the observer dependence they refer to is akin to the concept in Schrödinger's cat, and emphasizes that path integral calculations respect the causal structure of spacetime.

Areas of Agreement / Disagreement

Participants express differing views on the role of observers in Feynman path integrals, with some proposing that perspectives from different frames of reference are relevant, while others maintain that the formulation is independent of observers. The discussion remains unresolved.

Contextual Notes

There are limitations regarding the assumptions made about observer perspectives and the implications of paths in relation to light cones. The discussion does not resolve the mathematical or conceptual nuances involved.

Mike2
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I wonder if each path in a Feynmen path integral might represent another path from an observer in a different frame of reference. Perhaps if another FOR is accelerating, it may appear as if the path we might consider looks distorted from that other FOR. If so, then QM is accounting for every possible observer at the same time, of all observations at once must agree.

I've not thoroughly thought this out. Feel free to shoot it down if you'd like. Thanks.
 
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Feynman doesn't have observers in his sum over histories. That's what's so strong about it.
 
selfAdjoint said:
Feynman doesn't have observers in his sum over histories. That's what's so strong about it.
I take it that you mean that there is no restriction to a light cone, that some paths may go faster than light or even reverse in time, etc;am I right? Perhaps I should change the word "observer" to the word perspective which may not be restricted to a light cone. Or perhaps moving and/or accelerating reference frames is what I mean, a simple discription of a path from various (even wild) reference frames. I wonder if things like the spead of light would emerge as a result. Thanks.
 
Mike2 said:
I take it that you mean that there is no restriction to a light cone, that some paths may go faster than light or even reverse in time, etc;am I right? Perhaps I should change the word "observer" to the word perspective which may not be restricted to a light cone. Or perhaps moving and/or accelerating reference frames is what I mean, a simple discription of a path from various (even wild) reference frames. I wonder if things like the spead of light would emerge as a result. Thanks.


No no. That's not what I meant. I meant the observer dependence as in Schroedinger's cat. The path integral calculation, with the Wick rotation, is perfectly respectful of special covariance, of the "causal structure of spacetime" (i.e. lightcones).
 

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