Path Integral that is valid for a Particle

In summary, the conversation discusses the concept of reality and locality in relation to General Relativity and quantum domains. It considers the role of observation and observers in determining reality and questions whether the universe itself could be a hidden variable in quantum events. However, this remains a matter of interpretation and does not offer any new understanding or predictions compared to orthodox quantum mechanics.
  • #1
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What is it?

Is there a Path Integral that is valid for a Particle and the detection device's, such as Observers?

In General Relativity, events are deemed to be real at 'local' co-ordinates. If one looks out up into the night Cosmos, 'reality' tends to "fade" with distance, distance is scaled to size over distance. Now if one looks inwards, down into events from 'local' time events, down into Quantum Domains, then events also tend to fade away from reality , but with scale to size over distance, having no continuity.

If observation, or specifically observers are the gauge of reality, the continuous direction one face's in observation, should have a 'reality' cut-off be-it, if one looks outwards, or if one looks 'inwards'.

If a projectile is launched outwards into the Cosmos, if it continues away for some distance, then it should become less 'real', it should behave with the same traits as that for a Particle that is deemed to be crossing from the Local Event space, GR into the Quantum un-event domain.

Question, is the Universal Horizon at a far off distance, a 'hidden variable' a virtual quantum event frame?
 
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  • #2
Spin_Network said:
1. What is it?

2. Question, is the Universal Horizon at a far off distance, a 'hidden variable' a virtual quantum event frame?

1. Local reality consists of 2 main elements, each of which can be defined multiple ways. Reality="Hidden" variables (particle attributes) have distinct values independent of observation. Locality=The variables are local to the particle or system under observation.

2. If the universe is the hidden variable, then it is not local by definition. There have been a number of suggestions in interpretations of QM that the state of the universe is somehow at play. It still comes back to some matters of definition and interpretation. There is nothing to date which specifically points in this direction, but it is not ruled out either.

Also by definition, any such interpretation should yield predictions completely identical to orthodox QM. That makes it an ad hoc hypothesis and does not advance our understanding in any particular way.
 
  • #3
DrChinese said:
[...] Also by definition, any such interpretation should yield predictions completely identical to orthodox QM. That makes it an ad hoc hypothesis and does not advance our understanding in any particular way.

Alternative theories/interpretations needn't predict ALL physical results identically to orthodox QM, only those QM predictions that have been verified by experiment.
 

1. What is the concept of path integral in relation to particles?

The path integral is a mathematical formulation used in quantum mechanics to describe the behavior of particles. It involves summing over all possible paths that a particle can take in a certain time period, taking into account the probability amplitudes of each path.

2. How does the path integral differ from other mathematical formulations in quantum mechanics?

The path integral differs from other formulations, such as the Schrödinger equation, in that it takes into account all possible paths a particle can take, whereas other formulations only consider the most probable path. This allows for a more complete understanding of the behavior of particles.

3. How is the path integral used in practical applications?

The path integral has been used in various practical applications, such as calculating the energy levels of atoms and molecules, predicting the behavior of complex systems, and studying the effects of quantum fluctuations in physical systems.

4. What is the significance of the path integral in quantum field theory?

In quantum field theory, the path integral is used to describe the interactions between particles and fields. It allows for the calculation of scattering amplitudes and the prediction of particle interactions, making it an essential tool in understanding the fundamental forces of nature.

5. Are there any limitations to the use of the path integral?

While the path integral is a powerful tool, it does have some limitations. It can be difficult to calculate for systems with a large number of particles or for systems with strong interactions. Additionally, it may not accurately describe systems with certain boundary conditions or constraints.

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