Scanning the structure of ill-known spaces: Part 3. Distribution of topological structures at elementary and cosmic scales

TL;DR

This paper proposes a theoretical model where the distribution of deformations in an abstract lattice explains the formation of cosmic and microscopic structures, predicts particle properties, and offers a new perspective on universe expansion and Big Bang phenomena.

Contribution

It introduces a novel lattice-based framework linking topological deformations to spacetime, particles, and cosmic expansion without requiring external energy sources.

Findings

Fractal structures correspond to massive objects and particle-like formations.

Space dilatation at large scales explains cosmic expansion.

The model accounts for particle properties like spin and charge.

Abstract

The distribution of the deformations of elementary cells is studied in an abstract lattice constructed from the existence of the empty set. One combination rule determining oriented sequences with continuity of set-distance function in such spaces provides a particular kind of spacetime-like structure that favors the aggregation of such deformations into fractal forms standing for massive objects. A correlative dilatation of space appears outside the aggregates. At the large scale, this dilatation results in an apparent expansion, while at the submicroscopic scale the families of fractal deformations give raise to families of particle-like structure. The theory predicts the existence of classes of spin, charges, and magnetic properties, while quantum properties associated to mass have previously been shown to determine the inert mass and the gravitational effects. When applied to our observable spacetime, the model would provide the justifications for the existence of the creation of mass in a specified kind of "void", and the fractal properties of the embedding lattice extend the phenomenon to formal justifications of Big-Bang-like events without need for any supply of an extemporaneous energy.