The following text is divided into four main parts, the first of which deals with the theory and model of a unitary universal cohesive field, including a basic guide to its possible mathematical treatment, and the second with the derivation of a value for the 'fine structure constant' based on its geometric principles within the context of the implication of this constant in the conventional descriptions of electron spin in particular (for example in the description of anomalous electron 'magnetic dipole moment' using 'gs-factor').
While the primary aim of the first part is to establish a model within which a geometric basis in mathematical harmonics may be proposed for the value of that constant, the more general intention is to introduce a viable model of the operation of an entirely exclusive singular cohesive principle for the consideration of any and all data according to this conception of a unitary field; therefore to establish that the existing descriptions and equations of Quantum Electro-dynamics and Quantum Field Theory may, with an appropriately unifying perspective provided by such a model, be correlated directly with a real physical dynamic: the wave principle inherent within such a 'unitary cohesive field'. It is further suggested that such a basis in a real cohesive principle and wave dynamic will serve to resolve problems in the mathematical description of essentially abstract fields and wave functions, more particularly those associated with 'renormalisation' techniques in perturbation theory.
The argument is therefore essentially twofold: first, that the lattice model of the cohesive field proposed may be regarded as an adequate description of cohesive dynamics within an inherently integrating unity or 'unitary field', thus that its basic geometric or 'harmonically-defined' ratios may be applied to a description of reality in conventionally quantitative terms of mass, velocity, charge, and more particularly to the relation between such quantities described by various physical and dimensionless constants whose values are here considered to be based in the harmonic relations embodied in such ratios; and second, that the application of such ratios to the derivation of a value for the 'fine structure constant' may be generalised to the explanation of its context, specifically in electron dynamics, according to the principles of the model with respect to such properties and quantities as electron angular momentum and 'charge e'.
Table of Contents
Preamble and Introduction
Part ONE: The Unitary Cohesive Field and Cubic Lattice Model of Cohesive Space
Part TWO: Derivation of the Value of the Fine Structure Constant
Part THREE: General Explanatory Notes and Principles of Correlation between a Model of the Unitary Cohesive Field and QED Theory
Part FOUR: An Analysis of the Hydrogen (H1) Spectrum and Interpretation of Rydberg's Formula
Objectives and Thematic Scope
The primary objective of this work is to establish a unified physical model of a 'unitary universal cohesive field' derived from first principles. By proposing a geometric lattice structure based on mathematical harmonics, the work seeks to correlate existing descriptions and equations of Quantum Electro-Dynamics (QED) and Quantum Field Theory (QFT) with a real physical wave dynamic, ultimately aiming to resolve mathematical challenges such as renormalization techniques and to provide a physical foundation for constants like the fine structure constant.
- Establishment of a cubic lattice model for cohesive space.
- Geometric and harmonic derivation of the fine structure constant.
- Correlation of QED and QFT with the unitary cohesive wave principle.
- Reinterpretation of hydrogen spectral data and Rydberg's formula.
- Integration of cohesive dynamics to explain fundamental physical constants.
Excerpt from the Book
Section A: The Physical Basis for a Wave Theory of Nature
The development from 'first principles' in reason, based on a premise of inviolable universal unity, of a conception and model of a unitary dynamic cohesive space; thus of a 'unitary cohesive field' imbued with a singular exclusive property of fundamental cohesive force and defined by a singular process of its equilibrating distribution according to principles of cohesive mechanics. An explanation of the idea of fundamental cohesive polarity and its representation within a cubic reciprocal lattice structure comprising mutually cohesive point aspects or 'loci' by invariant phase vectors within what amounts to a scalar field or archetypal phase structure defined by 3 disparate cubic spatial dimensions.
Conception of cubic pole components as definitive of an extrapolating '3rd dimension' of interior spatial depth, and of a primary unitary wave principle--considered according to an idea of reorientation and reversion of components or resultants in fundamental cohesive force or polarity, therefore within a frame of distribution of cohesive force--arising in that 'interior dimension' which is intrinsic to cohesive dynamics and entirely pervasive within reality conceived exclusively as a 'unitary cohesive field'. Principles of 'Cohesive Phase' based on idea of cohesive recurrence described by progression of 3 fundamental vectors with respect to lattice archetype of R/I symmetry or idealised cohesive equilibrium; therefore implying basis of 'quantum mechanical picture' of cohesive dynamics in a unitary field of harmonically-defined phase structure. Discussion of limiting [Qp'] recurrence defining the context of light occurrence and thus of empirical scenarios necessarily characterised by dynamics of 'a-s/c' synthesis in which the effective scale of reference must eventually be based on light mechanics.
Summary of Chapters
Preamble and Introduction: Establishes the foundational premise of a unitary universal field and outlines the aim to reduce conventional QED and QFT theories to first principles based on geometric harmonics.
Part ONE: The Unitary Cohesive Field and Cubic Lattice Model of Cohesive Space: Introduces the lattice structure of cohesive force and space, defining the physical basis for a wave theory of nature and the geometric archetype of cohesive symmetry.
Part TWO: Derivation of the Value of the Fine Structure Constant: Details the derivation of the fine structure constant (alpha) through the mathematical harmonics of the unitary cohesive field model, relating it to electron dynamics and spin.
Part THREE: General Explanatory Notes and Principles of Correlation between a Model of the Unitary Cohesive Field and QED Theory: Explores the correlation between the proposed unitary field model and existing QED theory, incorporating arguments for Planck's constant and the elementary charge 'e'.
Part FOUR: An Analysis of the Hydrogen (H1) Spectrum and Interpretation of Rydberg's Formula: Applies the principles of the unitary cohesive field to the specific case of the hydrogen spectrum and provides a reinterpretation of Rydberg's formula.
Key Terms
Unitary cohesive field, cohesive resonance, fine structure constant, wave theory of nature, cohesive inertia, harmonic resonance, cubic reciprocal lattice, electron dynamics, quantum electro-dynamics (QED), wave function, cohesive polarity, phase transition, spatial depth, Qp' recurrence.
Frequently Asked Questions
What is the core premise of this work?
The work is based on a premise of inviolable universal unity, suggesting that reality is defined by a single 'unitary universal cohesive field' governed by a singular dynamic of cohesive force.
What does the author aim to achieve?
The goal is to derive fundamental physical constants, such as the fine structure constant, from first principles using geometric and harmonic modeling, rather than through empirical adjustment.
What is the 'unitary cohesive field'?
It is a theoretical model of space as an interconnected lattice of 'cohesive loci', where dynamics are driven by a constant rate of cohesive force elaboration, manifesting as waves.
What scientific method is employed?
The method is based on 'first principles' in reason and geometric harmonics, aiming to correlate this unitary model with conventional Quantum Electro-Dynamics (QED) and the Standard Model.
How are particle properties explained in this model?
Particles, such as electrons, are reinterpreted as recurrent wave components or resultants within the unitary field, characterized by their cohesive inertia and rotational phase.
Why is this work contentious?
The work challenges the standard interpretations of quantum mechanics and general relativity, proposing that these theories are abstract mathematical constructions that lack a fundamental physical basis in a unitary field.
How does the model explain the fine structure constant?
The fine structure constant is derived through the mathematical harmonics of the unitary field model, specifically by analyzing the geometric relationship between the fundamental phase vectors defined in the lattice structure.
Does this work support the 'Big Bang' theory?
No, the work challenges the 'Big Bang' cosmogony, arguing instead for a continuous, eternal evolutionary dynamic governed by a principle of universal unity.
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- Doctor James Everitt (Autor:in), 2018, A Wave Theory of Universal Resonance [Volume 1], München, GRIN Verlag, https://www.grin.com/document/412080