6533b88bfe1ef96bd12e2931

RESEARCH PRODUCT

Exploratory remarks and discussion on a potential program for interlock even more the mathematics and physics

subject

description

These remarks are endowed with exploratory argumentation for disrupt further discussion and in favor of the in-depth consolidation of a mathematical and physics identification based on 2 key concepts: 1) finite support and 2) a notion of infinite intrinsic to the usage of the complex numbers. General relativity shows up linked to a kind of a Gelfand representation as an approximation of an analog of a hidden Markov Model. This has deep connections with the Stone–Weierstrass theorem and these discussion are an invitation to the physics community to study the physics x mathematics identification in the case of a holding true multiverse hypothesis. Photon in this setup stands to the analog of kernel/convolution driven solution (in physics jargon: renormalization and in data science: adding layers of convolutional neural networks) for the solution of the called Runge´s phenomenon of the approximation theory and that is deeply related to Noether´s theorem and Karhunen-Loeve transform. If one reinterpret the Schrödinger’s wave function as the mathematical modeler of the result of a whitening transformation regarding a given covariance matrix and related random variables, then the evolution related to the collapse of such a Schrödinger’s wave function stands to Karhunen-Loeve transform also suggesting a program on unifying fundamental forces. We explanatorily claim that by this perspective that natural phenomena, as we perceive it in daily basis, and mathematics a share the same logic and set theory as their main/core background all and of them are closely related to endow finite natural/real numbers with a finite support by means of complex numbers and this finite support stands to spacetime in physics. These remarks are endowed with exploratory argumentation for disrupt further discussion and in favor of the in-depth consolidation of a mathematical and physics identification based on 2 key concepts: 1) finite support and 2) a notion of infinite intrinsic to the usage of the complex numbers. General relativity shows up linked to a kind of a Gelfand representation as an approximation of an analog of a hidden Markov Model. This has deep connections with the Stone–Weierstrass theorem and these discussion are an invitation to the physics community to study the physics x mathematics identification in the case of a holding true multiverse hypothesis. Photon in this setup stands to the analog of kernel/convolution driven solution (in physics jargon: renormalization and in data science: adding layers of convolutional neural networks) for the solution of the called Runge´s phenomenon of the approximation theory and that is deeply related to Noether´s theorem and Karhunen-Loeve transform. If one reinterpret the Schrödinger’s wave function as the mathematical modeler of the result of a whitening transformation regarding a given covariance matrix and related random variables, then the evolution related to the collapse of such a Schrödinger’s wave function stands to Karhunen-Loeve transform also suggesting a program on unifying fundamental forces. We explanatorily claim that by this perspective that natural phenomena, as we perceive it in daily basis, and mathematics a share the same logic and set theory as their main/core background all and of them are closely related to endow finite natural/real numbers with a finite support by means of complex numbers and this finite support stands to spacetime in physics.