The Fractal Universe: From the Planck to the Hubble Scale

TL;DR

This paper explores the fractal nature of the universe across all scales, proposing a stochastic framework for physical laws that aligns with observations and echoes Wheeler's concept of 'Law Without Law.'

Contribution

It introduces a novel fractal perspective on the universe's structure, linking large and small scales through a stochastic approach to physical laws.

Findings

Agreement with experimental observations at all scales

Fractal scaling explains universe's structure

Stochastic laws underpin physical phenomena

Abstract

We examine the fractal structure of the physical universe from the large scale to the smallest scale, including the phenomenon of fractal scaling. This is explained in terms of a stochastic underpinning for the laws of physics. A picture in pleasing agreement with experiment and observation at all scales emerges, very much in the spirit of Wheeler's "Law Without Law". It is argued that our depiction of the universe is akin to a broad brush delineation of a jagged coastline, the Compton wavelength being comparable to the thickness of the brush strokes.