Doing Physics with Quaternions

By Sweetser, Douglas B.

Book Id: WPLBN0000659326
Format Type: PDF eBook:
File Size: 0.5 MB
Reproduction Date: 2005

Title:	Doing Physics with Quaternions
Author:	Sweetser, Douglas B.
Volume:
Language:	English
Subject:	Science., Physics, Physics--Research
Collections:	Physics Literature Collection
Historic Publication Date:
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Citation APA MLA Chicago B. Sweetse, B. D. (n.d.). Doing Physics with Quaternions. Retrieved from http://www.self.gutenberg.org/

Description
Physics Literature

Excerpt
Introduction: Part I 8. Non-Process and Process Physics ...

Table of Contents
1 Introduction 1 PART I 8 2 Non-Process and Process Physics 9 2.1 Modelling Reality . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.2 Non-Process Physics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.3 Process Physics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 3 Syntactical and Semantic Information 17 3.1 Self-Referential Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 3.2 Semantic Information System . . . . . . . . . . . . . . . . . . . . . . . . . 19 3.3 Process Philosophy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 4 Self-Referential Neural Networks 23 4.1 Bootstrapping . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 4.2 Stochastic Networks from QFT . . . . . . . . . . . . . . . . . . . . . . . . 25 4.3 Neural Networks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 4.4 Emergent Geometry: Gebits . . . . . . . . . . . . . . . . . . . . . . . . . 28 4.5 Gebits as Skyrmions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 4.6 Absence of a Cosmic Code . . . . . . . . . . . . . . . . . . . . . . . . . . 35 4.7 Entrapped Defects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 5 Quantum Homotopic Field Theory 37 5.1 Schr?odinger Equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 5.2 Homotopy Hamiltonian . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 5.3 Quantum State Diffusion . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 5.4 Emergent Classicality . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 5.5 Emergent Quantum Field Theory . . . . . . . . . . . . . . . . . . . . . . . 41 5.6 Emergent Flavour and Colour . . . . . . . . . . . . . . . . . . . . . . . . . 42 5.7 Hilbert Spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42