An Acataleptic Universe

TL;DR

This paper explores a new mathematical framework for physics based on information and infinite-dimensional symmetries, supporting Wheeler's 'It from Bit' hypothesis by linking holography, black holes, and emergent spacetime.

Contribution

It introduces a novel approach using Necklace Lie algebras and layered quantization to derive a continuum background from information-based symmetries, advancing the 'It from Bit' paradigm.

Findings

Hidden symmetries match physical degrees of freedom in black holes

Necklace Lie algebras can generate emergent continuum structures

Supports the idea that information underpins the fabric of physics

Abstract

John Wheeler advocated the principle that information is the foundation of physics and asked us to reformulate physics in terms of bits. The goal is to consider what we know already and work out a new mathematical theory in which space, time and matter are secondary. An application of the converse of Noether's second theorem to the holographic principle implies that physics must have an underlying hidden symmetry with degrees of symmetry that match physical degrees of freedom in order to account for the huge redundancy of information in the interior of a black-hole. I have been working on a theory that builds infinite dimensional symmetries using layers of quantisation from information as suggested by Wheeler's contemporary Carl von Weizs\"acker. Necklace Lie algebras are the mathematical objects and iterated integration can be used to show how a continuum background can emerge from their structure. The logic suggests the conclusion that wheeler was right when he proclaimed "It from Bit"