Recovering the Principle of Relativity from the Cosmic Fabric Model of Space

TL;DR

This paper extends the Cosmic Fabric model of space to include moving observers, deriving Lorentz transformations and relativistic effects from the model's postulates, and discusses implications for connecting gravity and quantum physics.

Contribution

It introduces a framework where Lorentz transformations and relativistic effects are derived from the Cosmic Fabric model, linking it to fundamental physics.

Findings

All reference frames are phenomenologically equivalent.

Length contraction and time dilation are deduced from the model.

The model's length-scale dependence may relate gravity and quantum theories.

Abstract

We extend the descriptive power of the Cosmic Fabric model of space developed by Tenev and Horstemeyer (2018) to include moving observers by demonstrating that all reference frames are phenomenologically equivalent with one another and transform between each other via the Lorentz transformations. Our approach is similar to that of Lorentz (1892), which was used to explain the negative outcome of the Michelson-Morley {\ae}ther detection experiment (Michelson and Morley 1887), except that we deduce the notions of length contraction and time dilation from the postulates of the Cosmic Fabric model. Our result is valid for the continuum length scale at which, by definition, the cosmic fabric can be described mathematically as a continuum. Herein, we also discuss the length-scale dependent nature of the Cosmic Fabric model as a possible way to relate gravitational and quantum theories.