Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Logic, mathematics, physics: from a loose thread to the close link. Or what gravity is for both logic and mathematics rather than only for physics

Version 1 : Received: 11 October 2023 / Approved: 12 October 2023 / Online: 13 October 2023 (11:33:12 CEST)

How to cite: Penchev, V. Logic, mathematics, physics: from a loose thread to the close link. Or what gravity is for both logic and mathematics rather than only for physics. Preprints 2023, 2023100894. https://doi.org/10.20944/preprints202310.0894.v1 Penchev, V. Logic, mathematics, physics: from a loose thread to the close link. Or what gravity is for both logic and mathematics rather than only for physics. Preprints 2023, 2023100894. https://doi.org/10.20944/preprints202310.0894.v1

Abstract

Gravitation is interpreted to be an “ontomathematical” force or interaction rather than an only physical one. That approach restores Newton’s original design of universal gravitation in the framework of “The Mathematical Principles of Natural Philosophy”, which allows for Einstein’s special and general relativity to be also reinterpreted ontomathematically. The entanglement theory of quantum gravitation is inherently involved also ontomathematically by virtue of the consideration of the qubit Hilbert space after entanglement as the Fourier counterpart of pseudo-Riemannian space. Gravitation can be also interpreted as purely mathematical or logical “force” or “interaction” as a corollary from its ontomathematical (rather than physical) realization. The ontomathematical approach to gravitation is implicit in general relativity equating it to operators in pseudo-Riemannian space obeying the Einstein field equation and also well-known by the “geometrization of physics”. Quantum mechanics shares the same by the separable complex Hilbert space and defining “physical quantity” by the Hermitian operators.

Keywords

classical quantum mechanics, dark matter, dark energy, dialectical logic, Einstein, energy conservation, entanglement, entanglement theory of gravitation, gravitation, Hegel, Hilbert arithmetic, Lobachevsky geometry, metaphysics, Newton, ontology and ontomathematics, Pauli’s particle paradigm, quantum information, Riemann’s space curvature, special and general relativity, the Standard model, unitarity

Subject

Physical Sciences, Theoretical Physics

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