Qm probability, energy density and curvature

In summary: Energy density of an EM wave and the probability of finding a particle at a certain position in space at a certain time can be compared to each other in quantum mechanics. However, this comparison cannot be made in general relativity. In summary, comparing the intensity of an EM wave and the probability of finding a particle in quantum mechanics may not have a direct correspondence in general relativity.
  • #1
Rothiemurchus
203
1
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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  • #2
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
 
  • #3
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:

1. What is quantum mechanics (QM) probability?

Quantum mechanics is a branch of physics that studies the behavior of particles at the atomic and subatomic level. One of the fundamental principles of quantum mechanics is that particles can exist in multiple states at the same time, and their behavior can only be described in terms of probabilities. QM probability refers to the likelihood of a particle being found in a certain state or location at a specific time.

2. How is energy density related to quantum mechanics?

Energy density is a measure of the amount of energy present in a certain volume of space. In quantum mechanics, energy is quantized, meaning that it can only exist in discrete values. The energy density of a quantum system is determined by the number and energy levels of the particles present in that system.

3. What is the role of curvature in quantum mechanics?

Curvature refers to the bending or warping of space and time. In quantum mechanics, the curvature of space and time is considered when studying the behavior of particles, as it affects their trajectories and interactions. For example, in the theory of general relativity, curvature is related to the presence of mass and energy, which can influence the behavior of particles at the quantum level.

4. How does quantum mechanics explain the behavior of particles?

Quantum mechanics is based on mathematical equations and principles that describe the behavior of particles. These equations take into account the probabilistic nature of quantum systems and can accurately predict the behavior of particles in experiments. However, the underlying mechanisms that govern this behavior are still not fully understood.

5. What are some practical applications of quantum mechanics?

Quantum mechanics has many practical applications in modern technology, such as in the development of transistors, lasers, and computer chips. It also plays a crucial role in fields like chemistry, material science, and biology, allowing scientists to better understand and manipulate the behavior of particles at the atomic and subatomic level.

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