Stoica, Ovidiu Cristinel (2022) Counting 3d-spaces: classicality and probability in standard and many-worlds quantum mechanics from quantum-gravitational background-freedom. [Preprint]

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Abstract

I explain that background freedom in quantum gravity automatically leads to a dissociation of the quantum state into states having a classical 3d-space. That is, interference is not completely well-defined for states with different 3d-space geometries, even if their linear combination is.

The dissociation into 3d-space geometries still allows for interference at small scales, but precludes it at macro scales. It grants the possibility of classical-looking macroscopic objects, including measuring devices. Counting the 3d-space geometries automatically gives the Born rule.

But the wavefunction collapse turns out to be even more ad-hoc. Fortunately, the dissociation entails a kind of absolute decoherence, making the wavefunction collapse unnecessary. This naturally leads to a new version of the many-worlds interpretation, while solving its major problems:

1) the classical-3d-space states form an absolute preferred basis,

2) at any instant, the resulting branches look like classical worlds, with objects in the 3d-space,

3) the 3d-space geometries converge at the Big-Bang, favoring branching towards the future,

4) macro-branches stop interfering, even though micro-branches can interfere,

5) the coefficients $\Psi[\gamma,\phi]$ become real by absorbing the complex phases in the global U(1) gauge,

6) the ontology is a state vector uniquely dissociable into many gauged classical-3d-space states, each of them counting as a world by having local beables (the classical fields),

7) the density of the classical-3d-space states automatically obeys the Born rule.

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Item Type:	Preprint
Creators:	Creators Email ORCID Stoica, Ovidiu Cristinel holotronix@gmail.com 0000-0002-2765-1562
Keywords:	Everett's many-worlds interpretation; Born rule; quantum gravity; background-independence; many-spacetimes interpretation
Subjects:	Specific Sciences > Physics > Cosmology General Issues > History of Philosophy of Science Specific Sciences > Physics > Quantum Gravity Specific Sciences > Physics > Quantum Field Theory Specific Sciences > Physics > Quantum Mechanics
Depositing User:	Ovidiu Cristinel Stoica
Date Deposited:	18 Sep 2022 19:41
Last Modified:	18 Sep 2022 19:41
Item ID:	21175
Subjects:	Specific Sciences > Physics > Cosmology General Issues > History of Philosophy of Science Specific Sciences > Physics > Quantum Gravity Specific Sciences > Physics > Quantum Field Theory Specific Sciences > Physics > Quantum Mechanics
Date:	18 September 2022
URI:	https://philsci-archive.pitt.edu/id/eprint/21175

Available Versions of this Item

• Counting 3d-spaces: classicality and probability in standard and many-worlds quantum mechanics from quantum-gravitational background-freedom. (deposited 18 Sep 2022 19:41) [Currently Displayed]
  • Counting 3d-spaces: classicality and probability in standard and many-worlds quantum mechanics from quantum-gravitational background-freedom. (deposited 07 Oct 2022 13:46)
    • Counting 3d-spaces: classicality and probability in standard and many-worlds quantum mechanics from quantum-gravitational background-freedom. (deposited 10 Oct 2022 13:21)
      • Background freedom leads to many-worlds with local beables and probabilities. (deposited 07 Nov 2022 14:43)
        • Background freedom leads to many-worlds with local beables and probabilities. (deposited 13 Jan 2023 14:02)

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