Bayesian analog of Gleason’s theorem

Marlow, Thomas

doi:10.1063/1.2390658

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An Interpretation Of "Probabilistic Measure" Its Uniqueness ...1

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2022

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Cited by 2 publications

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“…-as well as in other, mainly mathematical sciences (e.g. Moretti, Oppio 2018;Marlow 2006;Mushtari 1998;1998a;Matvejchuk 1997;Dvurečenskij 1996;Dvurečenskij, Mišík 1988;Dvurečenskij 1987).…”

Section: An Interpretation Of "Probabilistic Measure" Its Uniqueness ...mentioning

confidence: 99%

Fermat’s Last Theorem Proved in Hilbert Arithmetic. Iii. the Quantum-Information Unification of Fermat’s Last Theorem and Gleason’s Theorem

Пенчев

2022

SSRN Journal

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Section: An Interpretation Of "Probabilistic Measure" Its Uniqueness ...mentioning

confidence: 99%

Fermat’s Last Theorem Proved in Hilbert Arithmetic. Iii. the Quantum-Information Unification of Fermat’s Last Theorem and Gleason’s Theorem

Пенчев

2022

SSRN Journal

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Fermat’s last theorem proved in Hilbert arithmetic. III. The quantum-information unification of Fermat’s last theorem and Gleason’s theorem

Пенчев¹

2022

Preprint

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A proof of Fermat's last theorem, based on Gleason’s theorem, is suggested. The concept of (probabilistic) measure of a subspace of Hilbert space and especially its uniqueness can be unambiguously linked to that of partial algebra or incommensurability, or interpreted as a relation of the two dual branches of Hilbert arithmetic in a wide sense. The investigation of the last relation allows for FLT and Gleason’s theorem to be equated in a sense, as two dual counterparts, and the former to be inferred from the latter, as well as vice versa under an additional condition relevant to the Gödel incompleteness of arithmetic to set theory. The qubit Hilbert space itself in turn can be interpreted by the unity of FLT and Gleason’s theorem. The proof of the fundamental result in number theory (FLT) by means of Hilbert arithmetic can be generalized to an idea about “quantum number theory”.

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Bayesian analog of Gleason’s theorem

Cited by 2 publications

References 25 publications

Fermat’s Last Theorem Proved in Hilbert Arithmetic. Iii. the Quantum-Information Unification of Fermat’s Last Theorem and Gleason’s Theorem

Fermat’s Last Theorem Proved in Hilbert Arithmetic. Iii. the Quantum-Information Unification of Fermat’s Last Theorem and Gleason’s Theorem

Fermat’s last theorem proved in Hilbert arithmetic. III. The quantum-information unification of Fermat’s last theorem and Gleason’s theorem

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