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Hello,
One observation that springs to mind in trying to find a way to unite QT and Relativity is that Relativity refers to and accurately describes reality or more specifically, macro reality.

On the other hand it seems to me that QT does not describe the real world because of two erroneous assumptions:

1. QT assumes that it is possible to isolate a particle. In reality this is never isolated entirely from the rest of the universe (a) in the quantum state or (b) in the collapsed state.

2. QT is essentially 'linear' and describes matter in Euclidean space.
This too, is at odds with reality.

So, my Question: Is it possible to revisit QM in a non-euclidean space? In other words, is it possible to apply the math of QM in non-euclidean co-ordinates, where words, is it possible to apply the math of QM in non-euclidean co-ordinates, where space is in fact curved?

Secondly, is it possible to ask the question about quantum particles not in isolation. It seems to me that prior to the collapse of the Schrodinger equation, the 'particle' is anywhere and therefore is not isolated, and furthermore, once it is observed and therefore collapses its wave equation, it is observed in real space which is not euclidean.

IMHO, if one could solve for these parameters, the question of uniting QM and Relativity, becomes sensible and then one might realistically hope for a TOE.

Sid
_________________
"To know even one atom fully would imply knowledge of its relations to all other phenomena in the infinite universe." - The Dalai Lama

Food for thought:

"Regardless of different personal views about science, no credible understanding of the natural world or our human existence…can ignore the basic insights of theories as key as evolution, relativity, and quantum mechanics." - The Dalai Lama
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