A $(D_τ,D_x)$-manifold with $N$-correlators of $N_t$-objects

Pierros Ntelis

doi:10.1142/S0219887826501343

paper

A $(D_{τ}, D_{x})$ -manifold with $N$ -correlators of $N_{t}$ -objects

arXiv:2209.07472 · doi:10.1142/S0219887826501343

Abstract

In this paper, we describe a mathematical formalism for a $(D_{τ}, D_{x})$ -dimensional manifold with $N$ -correlators of $N_{t}$ types of objects, with cross correlations and contaminants. In particular, we build this formalism using simple notions of mathematical physics, field theory, topology, algebra, statistics n-correlators and Fourier transform. We discuss the applicability of this formalism in the context of cosmological scales, i.e. from astronomical scales to quantum scales, for which we give some intuitive examples.

arXiv comment25 pages, 2 Figure, matches the accepted version, comments are most welcome

A (Dτ​,Dx​)-manifold with N-correlators of Nt​-objects

Abstract

A $(D_{τ}, D_{x})$ -manifold with $N$ -correlators of $N_{t}$ -objects