Having established in Volume 1 a model of the 'Unitary Universal Cohesive Field' and the conceivable basis of its correlation with the observations and analytical structure at the foundation of orthodox QED theory and proceeds to deal explicitly with a review of the Hydrogen spectrum and reinterpretation of Rydberg's original formula according to those same principles, including a derivation of Rydberg's constant from the number [2Q/137] explained in Appendix J1. More specifically, this is an analysis of the Hydrogen [H1] spectrum according to the principles in cohesive mechanics governing the dynamic frame of 'a-s/c' synthesis within which such an effect is constrained to arise which is then related through a revised interpretation of the 'Rydberg formula' in which the 'Rydberg constant [Ra]' is derived from first principles (and the measurable ‘speed of light c’) to the conventional atomic orbital model of QED theory.
This approach is itself based on the reasoned correlation between a geometric or trigonometric model of rotational 'moments of inertia [Im]' intrinsic to such a frame of empirically-induced 'a-s/c' synthesis--from which H1 spectral frequencies may be inferred--, and a hypothesis upon the basis of the ostensible configuration of the dynamic frame of synthesis which is the substrate of the QED model in that of the synthesis or integration of dominant components in distribution of cohesive force and inertia implicit in such frames. As such, this reinterpretation attributes the configuration of the H1 spectrum to the mechanical relation between a reorienting force applied to the elemental state of hydrogen gas to induce that spectrum and what are imagined as the 'rotational moments of cohesive inertia' intrinsic to that state; and therefore develops a trigonometric model of the elaboration of that spectrum.
Volume 2 further postulates an 'elemental scale' based on the mathematical harmonics implicit in the model of such a 'unitary cohesive field' (Section 4A), while Appendices D and E include discussions of a range of topics, including 'Renormalisation' and the fallacy of 'time dilation' in 'Special Relativity Theory'. Section 4B is a supplementary article entitled, 'The Metaphysics of Coincidence', and incorporates a basic model of Celestial Motion based on the same model.
Inhaltsverzeichnis (Table of Contents)
- Titles: Parts ONE to FOUR (and Section [4A/E])
- [1]: Part ONE: The Unitary Cohesive Field; and Cubic Lattice Model of Cohesive Space.
- [2]: Part TWO: Cohesive Field Theory; incorporating an explanation in the Mathematical Harmonics of a Unitary Universal Cohesive Field for the Value of the 'Fine Structure Constant'.
- [3]: Part THREE: Principles of Correlation: plus Appendices on Derivation of Values for Planck's Constant and 'Charge e' in Coulombs.
- [4]: Part FOUR: An Analysis of the Fine Structure of the Hydrogen Spectrum; and Revised Interpretation of 'Rydberg's Formula'.
- Section [4A]: the Elemental Scale.
- Section [4B]: Supplementary Article.
- [Brief Abstract]
- Contents of Part FOUR: An Analysis of the Fine Structure of the Hydrogen Spectrum and Interpretation of Rydberg's Formula:
- Section [A]: Brief Overview of Derivation of the 'Rydberg constant [Ra]' by Alternative Methods from [2Q/137c], where [c] is the speed of light (Refer to Diagram H below and also to Appendices J, J1 and C).
- Section [A1]: General Principles in Application of Specific Ratios to [Re] in the form of [F]2 to imply 'Spectral Wavelengths'.
- Diagrams H and H1: Calculations.
- Section [B] (previously referred to as 'Appendix K'): Principles of 'k vector' Recurrence in ‘a/c’ Vector Synthesis; as it pertains to an analysis of 'p/k Synthesis' (See Diagrams J, K).
- Section [B1]: The 'Harmonics of Marginal k Vector Recurrence' in ‘a/c’ Synthesis (pertaining to the QED definition of 'electron orbital' number).
- Section [B2] (Appendix K) : Further Discussion of the Principles of 'k' Recurrence (pertaining to analysis of the H1 spectrum; including a sketch of the potential for a real 'Fourier-type analysis' of cohesive dynamics).
- Section [A2]: An Alternative Interpretation of Rydberg's Formula.
- Section [A3]: Summary and Further Principles of the Geometric Model, including the 'Method of Interpolation' of Transitional D2 Angular Values (permitted by the conception and model of a frame of 'a-s/c' synthesis defined by principles of cohesive recurrence or a 'unitary cohesive phase structure').
- Section [C]: Summary and Overview.
- Section [C1]: Further Principles and a More Detailed Treatment of Hydrogen Spectroscopy and the 'Fine Structure' of the H1 Spectrum; according to principles of reorienting induction of the frame of 'a-s/c' synthesis to imply the condition of p/k synthesis definitive of the context of analysis.
- Appendix D: The 'Gravitational Force'.
- Appendices D1a and D1b:
- Appendix D1: Consideration of the Context of Relativistic Quantities.
- Appendix D2: Critique of the Hypothesis of 'Time Dilation' in Special Relativity Theory.
- Appendices E1 and E2: 'Bosons' and 'Renormalisation'.
- Appendix G: 'Quarks'.
- Diagrams: J1 to J4, B4, K1d, K1e and K2; and D1 to D3.
Zielsetzung und Themenschwerpunkte (Objectives and Key Themes)
This work aims to present a unified theory of reality based on the concept of a unitary universal cohesive field and its inherent wave dynamics. It seeks to correlate this theory with observations and analytical structures in quantum electrodynamics (QED) theory, particularly by providing a comprehensive interpretation of the Hydrogen (H1) spectrum and Rydberg's formula for spectral wavelengths.
- The Unitary Universal Cohesive Field: This theory proposes a single, universal field of cohesive force, from which all physical phenomena arise.
- Cohesive Dynamics: The field exhibits inherent wave dynamics, driven by a principle of cohesive equilibration or resonance, which tends towards a condition of universal cohesive symmetry.
- Cohesive Phase: The model introduces the concept of cohesive phase, defining the relationships between points within the cohesive field, and explaining the emergence of particles, forces, and other phenomena.
- Geometric Model: The theory utilizes a geometric model, primarily based on a cubic reciprocal lattice structure, to represent the harmonically-defined properties of the cohesive field and its wave dynamics.
- Reinterpretation of QED: The work offers a revised interpretation of QED, particularly regarding the fine structure constant and the nature of electrons and photons.
Zusammenfassung der Kapitel (Chapter Summaries)
- Part FOUR: An Analysis of the Fine Structure of the Hydrogen Spectrum and Interpretation of Rydberg's Formula: This chapter examines the Hydrogen spectrum in detail, proposing a revised interpretation of Rydberg's formula that incorporates the principles of cohesive mechanics and derives the Rydberg constant from first principles. The chapter focuses on the role of 'phase vectors' and their relations in determining the spectral wavelengths.
- Section [A]: Brief Overview of Derivation of the 'Rydberg constant [Ra]' by Alternative Methods from [2Q/137c], where [c] is the speed of light: This section provides calculations and explanations for deriving a revised value for Rydberg's constant (Re) based on the factor [2Q/137c] and a modifying factor P.
- Section [A1]: General Principles in Application of Specific Ratios to [Re] in the form of [F]2 to imply 'Spectral Wavelengths': This section discusses the general principles of applying vector ratios to Re in the form of a factor [F]2, which represents the intrinsic rotational moments of inertia [Im] within the frame, to infer specific spectral wavelengths.
- Section [B]: Principles of 'k vector' Recurrence in ‘a/c’ Vector Synthesis; as it pertains to an analysis of 'p/k Synthesis': This section delves into the principles of k vector recurrence in 'a/c' synthesis, which forms the basis for 'p/k synthesis'. It analyzes the harmonics of marginal k vector recurrence and explores the potential for a Fourier-type analysis of cohesive dynamics.
- Section [A2]: An Alternative Interpretation of Rydberg's Formula: This section presents a revised interpretation of Rydberg's formula based on the principles of cohesive mechanics, including the concept of intrinsic rotational moments of inertia [Im] and a geometric model of the frame of synthesis.
- Section [A3]: Summary and Further Principles of the Geometric Model, including the 'Method of Interpolation' of Transitional D2 Angular Values: This section provides a summary of the key principles of the geometric model and elaborates on the method of interpolating D2 angular values within the frame.
- Section [B1]: The 'Harmonics of Marginal k Vector Recurrence' in ‘a/c Synthesis’ (pertaining to the QED definition of 'electron orbital' number): This section provides a detailed analysis of the harmonics of marginal k vector recurrence in 'a/c' synthesis, particularly focusing on the relation of [k/A] to [k/a] and its implication in defining the numerical character of electron orbitals in QED theory.
- Section [B2]: Further General Discussion of the Principles of 'k' Vector Recurrence (pertaining to analysis of the H1 spectrum; including a sketch of the potential for a real 'Fourier-type Analysis' of Cohesive Dynamics): This section offers further insights into the principles of k vector recurrence, including its relation to the analysis of the H1 spectrum and its potential for a Fourier-type analysis of cohesive dynamics.
- Section [C1]: Further Principles and a More Detailed Treatment of Hydrogen Spectroscopy and the 'Fine Structure' of the H1 Spectrum; according to principles of reorienting induction of the frame of 'a-s/c' synthesis to imply the condition of p/k synthesis definitive of the context of analysis: This section presents a more detailed treatment of hydrogen spectroscopy and the fine structure of the H1 spectrum, focusing on the principles of reorienting induction of the frame of 'a-s/c' synthesis and its implication for p/k synthesis.
- Appendix D1: Consideration of the Context of Relativistic Quantities: This appendix explores the implications of a unitary cohesive field model for understanding relativistic quantities like mass, momentum, and energy.
- Appendix D2: Critique of the Hypothesis of 'Time Dilation' in Special Relativity Theory: This appendix critically analyzes Einstein's hypothesis of time dilation in special relativity theory, arguing that it is based on a flawed understanding of the concept of cohesive phase.
Schlüsselwörter (Keywords)
This work focuses on a unitary universal cohesive field, its wave dynamics, cohesive phase, and the harmonically-defined geometric model of cohesive space. It examines the fine structure of the Hydrogen spectrum, Rydberg's formula, and the principles of 'a-s/c' and 'p/k' synthesis. It also explores concepts like 'pole inversion dynamics', 'lateral phase divergence', and 'rotational moments of inertia', and re-interprets QED theory and its principal constants, such as Planck's constant, the 'charge e', and the fine structure constant.
- Quote paper
- Doctor James Everitt (Author), 2018, A Wave Theory of Universal Resonance [Volume 2], Munich, GRIN Verlag, https://www.grin.com/document/412081