GRAVITATION = ELECTROMAGNETISM

at the

PLANCK SCALE !!

     From the Unit Analysis and disassembly of the natural Gravitational constant G the Fundamental Mass is derived. Using simple Flat Spacetime Blackhole Mechanics it is seen that the Gravitational Field of the Fundamental Mass is identical to the Electric Field of the Elementary Charge Quanta. From here much commonality is found between Electromagnetism and Gravitation. Many applications to modern Physical Investigation from the Fundamental Level, to Elementary Particles, to the ordinary Laboratory Scale, to Cosmic Dimensions, can be found through Maxwell's Equations, Special and General Relativity, and Quantum Electrodynamics. Such concepts as the relation between Fractal Fine Structure Space, the Natural Numbers, and the Curvature of Spacetime in the vicinity of the Elementary Charge Quanta are applied.

   You can read ALL the chapters of the book, FUNDAMENTAL INVARIANCE and NATURAL NUMBERS, right here online (Free) by clicking the FUNDIVAR links. Just scroll down the page and any live links to chapters will be highlighted in blue.

   The CONTENTS serve as an abstract. Or you can order your own copy on CD-ROM. The text looks much better in print and you can print up your own copy right off the CD-ROM.  If you need ADOBE reader, you can get it by following the link at the bottom of this page.

   What is this publication all about?  From its humble beginnings with the derivation of the fundamental mass, through the simplest of flat spacetime blackhole mechanics, and also by the unit analysis and disassembly of the gravitational constant G, we come to a system of fundamental units very closely related to the Planck units. In fact the major difference being deduced after the fact is that these new fundamental units take the fine structure constant of the quantum electrodynamics into account. These fundamental units instead of being derived from the fundamental natural constants themselves are found to be in an inverse relation to the natural constants, in that these fundamental units are actually the basis of the natural constants. The basic statement is this, because we hold the natural constants to be invariant, then there must also be fundamentally invariant units. The units in this publication are those units.

   One purpose of this text is to build a mathematical foundation by which the fundamental units, despite the fantastic magnitudes involved, can be used in a practical way in most situations of interest in modern physics. From the simple proposition that the electric field of the elementary charge quanta is entirely equivalent to the gravitational field of the fundamental mass, many forms of proportional equivalency can be found between electromagnetism and gravitation. Commonality through Maxwell's equations, the gravitational wave equation, Schrodinger's equation, and other quantum wave equations, point to the existence of the Parallel Gravitational Spectrum. For every discrete photon or lepton energy, in the electromagnetic spectrum, there is discrete gravitational wave energy. Non-trivial eigenvalue solutions to quantum wave equations are asymmetric systems with angular momentum and thereby generate gravitational radiation.

   Elementary particles, leptons, photons, hadrons, etc., are shown to have internal entropy, not unlike the entropy considerations in blackhole thermodynamics and describable by the system of Natural Numbers. This system of Natural Numbers, besides being directly applicable to any energy density situation from cosmic dimensions down to the fundamental unit magnitude, can be used outright in quantum wave functions, Maxwell's equations, and any electromagnetic or gravitational description. Many demonstration examples are shown throughout the text.

   This comprehensive publication is focused on the application of Fundamental Invariance on the elementary particle level. The first 12 chapters out of 35 are a shortened and revised version of The Parallel Gravitational Spectrum. The rest of the chapters bring Fundamental Invariance and Gravitational Radiation on the elementary particle level, through the Natural Numbers, Fractal Fine Structure Space, the Invariant Energy Groups, and the concepts of the curvature of spacetime in the vicinity of the elementary charge quanta, into the nucleus.

Additional reading

ABSTRACT

Experiment Page    An Experiment detailing what may be the discovery of the emission of Gravitational Radiation from Elementary Particles.

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   Available on CD-ROM, in ADOBE Acrobat Format (.pdf), with the Reader included.

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FUNDAMENTAL INVARIANCE

and the

PARALLEL GRAVITATIONAL SPECTRUM

(Working Draft I)

Copyright

by

Ronald B Keegan

   You can read the preface to this book by clicking the PARAGRAV links. This 323 page book provides a basic understanding of the concepts and applications of The Parallel Gravitational Spectrum. (Comes in 12 pt, (1.5) linespace print) Available on CD-ROM, in ADOBE Acrobat Format (.pdf), with the Reader included.

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