I Expanding math space implies expanding space?

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The discussion centers on the relationship between the mathematical description of an electron's potential path and the concept of physical space expansion. It suggests that as the mathematical space required to describe an electron's position increases over time, this could imply a shift from General Relativity's initial conditions to a quantum explanation of space expansion. However, some participants argue that this view may not hold true for electrons in energy eigenstates, as the expansion of potential does not equate to physical space expansion. The conversation also touches on the complexities of quantum mechanics, including the path integral approach and the nature of wave-packet spreading. Overall, the thread emphasizes the need for a deeper understanding of both quantum mechanics and general relativity to clarify these concepts.
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The minimal necessary math to describe the potential path of an electron expands over time. Second by second, the space necessary to describe the possible positions of the electron expands.
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Does that imply expansion of physical space? And does that shift the explanation of the expansion of space from the General Relativists assumption of "initial conditions" to a quantum explanation.
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Please. I'm only lawyer with a smattering of math courses. Have mercy GR guys. For once. Just have mercy on me this time.
 
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Help! Why doesn't potential equal expansion?
 
negativzero said:
The minimal necessary math to describe the potential path of an electron expands over time. Second by second, the space necessary to describe the possible positions of the electron expands.
I don’t think this is true, at least not for an electron in an energy eigenstate. That is the reason that energy eigenstates are probably the most commonly discussed states.
 
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negativzero said:
Please. I'm only lawyer with a smattering of math courses. Have mercy GR guys. For once. Just have mercy on me this time.

I'm sincerely curious why the thought of needing mercy crossed your mind.
 
negativzero said:
Please. I'm only lawyer with a smattering of math courses. Have mercy GR guys. For once. Just have mercy on me this time.

That's all you need. Simply read the following in the sequence posted and much will be clear, and you can do a post to clarify any further queries:
https://www.amazon.com/dp/0465075681/?tag=pfamazon01-20
https://www.amazon.com/dp/B06XC7F6QG/?tag=pfamazon01-20
https://www.amazon.com/dp/0241293324/?tag=pfamazon01-20

To answer your query you are possibly thinking of Feynman's path integral approach. Its just a pictorial way of looking at what's called the path integral - which isn't really an integral in the usual sense - but that is just by the by for now - I can explain it exactly once you have read the above. Whats going on when not observed QM is silent about - there is no 'expansion' - going on - except regarding the spreading of wave-packets - but since what a state is, is hotly contested in various interpretations, that's not the best way of looking at that either - best to just spend a bit of time understanding the formalism. You are a Lawyer - you are a smart dude - you can do it. It will just take a bit pf time.

When you have finished the field theory book I can explain GR, and expansion, very easily using something called Lovelock's Theorem - but not now - you need a bit of background first

Thanks
Bill
 
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