Process Physics: From Information Theory to Quantum Space and Matter

By Cahill, Reginald T.

Description
Physics Literature

Excerpt
Abstract: This is a review of the new information-theoretic Process Physics. The fundamental assumption is that reality is to be modeled as self-organizing semantic or relational information using a self-referentially limited neural network model, where the information theoretic limitations are implemented via self-referential noise. This modeling was motivated by the discovery that such stochastic neural networks are foundational to known quantum field theories. In Process Physics time is a distinct non-geometric process while space and quantum physics are emergent and unified. Quantum phenomena are caused by fractal topological defects embedded in and forming a growing three-dimensional fractal process-space, which is essentially a quantum foam. Other features are the emergence of quantum field theory with flavor and connected color, limited causality and the Born quantum measurement metarule, inertia, time-dilation elects, gravity and the equivalence principle, a growing universe with a cosmological constant, black holes and event horizons, and the emergence of classicality.

Table of Contents
Contents 1 Introduction 5 2 Non-Process and Process Physics 7 2.1 Non-Process Physics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.2 Process Physics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 3 Syntactical and Semantic Information Systems 11 3.1 Self-Referential Systems and GŽodel's Theorem . . . . . . . . . . . . . . . 11 3.2 Semantic Information System . . . . . . . . . . . . . . . . . . . . . . . . . 13 3.3 Process Philosophy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 4 Self-Referentially Limited Neural Networks 16 4.1 Bootstrapping a Semantic Information System . . . . . . . . . . . . . . . 16 4.2 Stochastic Neural Networks from Quantum Field Theory . . . . . . . . . 18 4.3 Neural Networks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 4.4 Emergent Geometry in Stochastic Neural Network: Gebits . . . . . . . . 21 5 Gebits and their Topological Defects 23 5.1 Gebits as Skyrmions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 5.2 Absence of a Cosmic Code . . . . . . . . . . . . . . . . . . . . . . . . . . 24 5.3 Entrapped Topological Defects . . . . . . . . . . . . . . . . . . . . . . . . 25 6 Quantum Homotopic Field Theory 26 6.1 Functional SchrŽodinger Equation . . . . . . . . . . . . . . . . . . . . . . . 26 6.2 Homotopy Hamiltonian . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 6.3 Quantum State Di?usion . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 6.4 Emergent Classicality . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 7 Emergent Quantum Field Theory of Matter 30 7.1 Quantum Field Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 7.2 Emergent Flavour and Hidden Colour . . . . . . . . . . . . . . . . . . . . 30 8 Emergent Universe 31 8.1 Multi-World Universe . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 8.2 Gravity and the Equivalence Principle . . . . . . . . . . . . . . . . . . . . 32 8.3 Inertia . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 9 Quantum Foam Flow and Gravity 34 9.1 Classical E?ects of Quantum Foam . . . . . . . . . . . . . . . . . . . . . 34 9.2 The Einstein Measurement Protocol . . . . . . . . . . . . . . . . . . . . . 38 9.3 The Origins of General Relativity . . . . . . . . . . . . . . . . . . . . . . 41 9.4 Deconstruction of General Relativity . . . . . . . . . . . . . . . . . . . . 43 9.5 Gravity as Inhomogeneous Quantum-Foam Flow . . . . . . . . . . . . . 45