Quantum geometric phase with initial state index dependent on space-time curvature

Jose Alberto Pereira Frugone

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arXiv · 2508.13211

Quantum geometric phase with initial state index dependent on space-time curvature

Jose Alberto Pereira Frugone

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Abstract

We introduce a new way of generating the quantum geometric phase by making the initial base state index dependent on space-time curvature. We prove that the resulting Schr\"odinger equation is identical to the trace form of the Einstein gravitational field equations when we are in the adiabatic approximation. This particular initial condition was proposed in a previous work by the author.

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Jose Alberto Pereira Frugone. 2025-08-16. Quantum geometric phase with initial state index dependent on space-time curvature. https://arxiv.org/abs/2508.13211

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