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I have a question which is kind of philosophical, since I am from a nonmathematical background.
Background As I decipher from Schrodinger equation, small particles have discrete energy or quanta. And if we try to pin point their location at any given time, we can only determine a probabilistic position. I deduce that these particles are kind of independent of spacetime, and that their spacetime fabric at any given point will be probabilistic. In other words, there is no equation to define spacetime fabric for small particles. Coming to Einstein's theory of general relativity which says that gravity results for changes in spacetime fabric, and has a definitive equation for spacefabric.
Einstein has based his equations assuming a definite and continuous space.
Can you extend/ rederive einstein's equation of general theory of relativity assuming a probabilistic spacetime?
Analogy Galaxies are moving away from each other. At any given point of time, position of a galaxy in only probabilistic, through we can determine position with a very high probability in this case.
Please can you provide your answer at manish.madnawat@gmail.com too
Thanks