Geometric phases, Everett's many-worlds interpretation of quantum
mechanics, and wormholes
- URL: http://arxiv.org/abs/2302.13651v2
- Date: Mon, 5 Feb 2024 12:52:40 GMT
- Title: Geometric phases, Everett's many-worlds interpretation of quantum
mechanics, and wormholes
- Authors: David Viennot
- Abstract summary: We show how the formalism of geometric phases in adiabatic quantum dynamics provides geometric realisations permitting to embody'' the Everett's many-worlds interpretation of quantum mechanics.
We show that this geometric realisation is intimately related to quantum gravity, showing that the many-world interpretation can be consistent with quantum gravity.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We present how the formalism of geometric phases in adiabatic quantum
dynamics provides geometric realisations permitting to ``embody'' the Everett's
many-worlds interpretation of quantum mechanics, including interferences
between the worlds needed for the probability changes and the decoherence
processes needed to solve the preferred basis problem. We show also that this
geometric realisation is intimately related to quantum gravity (especially to
matrix models), showing that the many-world interpretation can be consistent
with quantum gravity. The concept of wormhole borrowed to general relativity is
central in this geometric realisation. It appears not only as an image by
analogy to help the interpretations, but also as a true physical model of
quantum wormhole in quantum gravity, the two ones being consistent which each
other.
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