Qm probability, energy density and curvature

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SUMMARY

The discussion centers on the relationship between quantum mechanics (QM) and general relativity, specifically how the intensity of electromagnetic (EM) waves correlates with the probability of locating a particle in space and time. It posits that energy density, as defined in general relativity, influences the curvature of space-time. The conversation raises the question of whether the curvature of space-time can indicate the likelihood of a particle's position, suggesting that particles may be more frequently found in regions of greater curvature. The discussion also references the work of physicist Carlo Rovelli for further insights.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with general relativity concepts
  • Knowledge of electromagnetic wave properties
  • Basic grasp of energy density and curvature in physics
NEXT STEPS
  • Research Carlo Rovelli's contributions to quantum gravity
  • Explore the relationship between energy density and curvature in general relativity
  • Study the implications of quantum mechanics on gravitational fields
  • Investigate arXiv papers discussing random gravitational fields and curved space
USEFUL FOR

Physicists, students of theoretical physics, and researchers interested in the intersection of quantum mechanics and general relativity.

Rothiemurchus
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In qm the intensity (energy density) of an EM wave is compared to
the probability of finding a particle at a certain position in space
at a certain time.For a particle that isn't moving, according to general relativity,
Too = energy density and energy density gives curvature of space time.

So can the curvature of space-time be related to the probability of
one particle being at a certain distance from another?
Would a particle be most likely to be found where the curvature of
space-time is greatest?
 
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This is very ambitious, you are taking results out of QM and apply them (or compare them with) general relativity.

If I were you, consult this person... :biggrin:

PS : I think your question will have the answer that such connections cannot be made, so forget about it... :smile:

http://www.cpt.univ-mrs.fr/~rovelli/rovelli.html

regards
marlon
 
Rothiemurchus said:
In qm the intensity (energy density) of an EM wave is compared to
the probability of finding a particle at a certain position in space
at a certain time.For a particle that isn't moving, according to general relativity,
Too = energy density and energy density gives curvature of space time.

So can the curvature of space-time be related to the probability of
one particle being at a certain distance from another?
Would a particle be most likely to be found where the curvature of
space-time is greatest?
You can say Gravitation instead Curvature. The case with the random gravitational fields or the random curved space was discuss here and here was the reference to arXiv papers. I cannot remember now this number.
 
Last edited:

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