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The Grand Unified Theory of Classical Physics

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THE GRAND UNIFIED THEORY OF CLASSICAL PHYSICS Volume 1 of 3 THE GRAND UNIFIED THEORY OF CLASSICAL PHYSICS BY Dr. Randell L. Mills September 3, 2016 Edition Volume 1 of 3 Copyright © 2016 by Dr. Randell L. Mills All rights reserved. No part of this work covered by copyright hereon may be reproduced or used in any form, or by any means-graphic, electronic, or mechanical, including photocopying, recording, taping, or information storage and retrieval systems-without written permission of Dr. Randell L. Mills. Manufactured in the United States of America. ISBN 978-0-9635171-5-9 Library of Congress Control Number 2015915593 i TABLE OF CONTENTS VOLUME 1 ATOMIC PHYSICS Preface ..................................................................................................................................................................................... xxv References ............................................................................................................................................................................... xxvi INTRODUCTION I.1 General Considerations ............................................................................................................................................... 1 I.2 CP Approach to the Solution of the Bound Electron .................................................................................................. 3 I.2.1 Spin and Orbital Parameters Arise from First Principles Only in the Case of CP............................................................................................................................................. 4 Box I.1 Misinterpretations of Observations as Weirdness of Quantum Mechanics is Revealed to be Due to Atomic-Scale Classical Physics ........................................................................ 5 References ................................................................................................................................................................... 8 I.2.2 Three Atomic Theories ................................................................................................................................... 9 I.2.3 Mathematical Relationship Between the Theories of Bohr and Schrödinger with Respect to Classical Atomic Theory ....................................................................................................... 11 I.2.4 Shortcomings of Quantum Theory and Reasons for a Complete Revision of Atomic Theory ............................................................................................................................ 15 I.3 Classical Atomic Theory ............................................................................................................................................. 16 I.3.1 One-Electron Atoms ....................................................................................................................................... 17 I.3.1.1 Nonradiation Condition ................................................................................................................ 17 I.3.1.2 Electron Source Current ................................................................................................................ 17 I.3.1.3 Moment of Inertia and Spin and Rotational Energies ................................................................... 20 I.4 Spin Function ............................................................................................................................................................. 21 I.4.1 Generation of the BECVF ............................................................................................................................... 22 I.4.2 Generation of the OCVF ................................................................................................................................. 22 0 I.4.3 Generation of Y0 (,) ................................................................................................................................... 23 I.4.4 Force Balance Equation .................................................................................................................................. 25 I.4.5 Energy Calculations ........................................................................................................................................ 26 I.5 The Nature of the Photon is the Basis of Quantization and Existence of Excited and Hydrino States of Atomic Hydrogen ...................................................................................................... 26 I.5.1 Excited States .................................................................................................................................................. 27 I.5.2 Instability of Excited States ............................................................................................................................ 28 I.5.3 Hydrino States ................................................................................................................................................. 29 I.5.3.1 Extension of the Rydberg States to Lower Levels ........................................................................ 29 I.5.3.2 Photonic Equation ......................................................................................................................... 32 I.5.3.3 Stability of the “Ground” and Hydrino States .............................................................................. 32 I.5.3.4 Catalytic Lower-Energy Hydrogen Electronic Transitions .......................................................... 32 I.5.3.5 Catalyst Reaction Mechanism and Products ................................................................................. 33 I.5.3.6 Catalysts ........................................................................................................................................ 38 I.6 Outline of the Results of the Unified Theory Derived from First Principles .............................................................. 40 I.6.1 Foundations ..................................................................................................................................................... 40 I.6.2 Physical Concepts that Arise from CP Derivations on the Scale Range of 85 orders of Magnitude ............. 42 I.6.3 Summary of Foundations and Physical Phenomena Solved by Classical Physics ......................................... 44 References ................................................................................................................................................................... 50 1. The One-Electron Atom .............................................................................................................................................. 53 1.1 Electron Source Current .................................................................................................................................. 53 1.2 The Bound Electron “Orbitsphere” ................................................................................................................. 57 1.2.1 Classical Physics of the de Broglie Relation ................................................................................ 61 1.3 Rotational Parameters of the Electron (Angular Momentum, Rotational Energy, Moment of Inertia) ........................................................................................................................... 62 1.3.1 Electron Mechanics and the Corresponding Classical Wave Equation for the Derivation of the Rotational Parameters of the Electron ................................... 63 1.4 The Orbitsphere Equation of Motion for = 0 Based on the Current Vector Field (CVF)............................ 66 1.4.1 Stern-Gerlach-Experiment Boundary Condition .......................................................................... 66 1.5 Generation of the Orbitsphere-CVFS ............................................................................................................. 68 1.5.1 Generation of the BECVF ............................................................................................................. 69 ii 1.5.2 Generation of the OCVF ............................................................................................................... 73 0 1.5.3 Generation of Y0 (,) ................................................................................................................. 76 0 1.5.4 Uniformity of Y0 (,) ................................................................................................................. 81 0 1.6 Spin Angular Momentum of the Orbitsphere Y0 , with = 0 ................................................................ 86 1.7 Resonant Precession of the Spin-1/2-Current-Density Function Gives Rise to the Bohr Magneton ............................................................................................................................. 88 1.8 Magnetic Parameters of the Electron (Bohr Magneton) ................................................................................. 92 1.8.1 The Magnetic Field of an Orbitsphere from Spin ......................................................................... 92 1.8.2 Derivation of the Magnetic Field .................................................................................................. 93 1.8.3 Derivation of the Energy ............................................................................................................... 94 Box 1.1
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