Calculations of the Unified Force Theory in the Aether Physics Model: QMU-Native Force Carriers, Distributed Charge, and Gforce Closure

Version 2.0 is a substantial modernization of the original \textit{Calculations of the Unified Force Theory as Explained in the Aether Physics Model}. It reformulates the force calculations of the Aether Physics Model (APM) in native Quantum Measurement Units (QMU), separates physical ontology from dimensional and coefficient bookkeeping, and places the original unified-force calculations within the current QADI research framework. The paper distinguishes four inferential statuses used throughout the analysis: identities, ledger closures, imported geometric results, and empirical predictions. This distinction prevents algebraic identities from being presented as independent physical predictions while preserving the structural role of the QMU ledger. The native QMU base quantities used in the force analysis are $$\{m_e,\lambda_C,F_q,e^2,{e_{emax}}^2\},$$ with the propagation identity $$c=\lambda_C F_q,$$ and Ledger One, $$A_u\,\mathrm{curl}={F_q}^2{\lambda_C}^2.$$ Here $\mathrm{curl}$ is the dimensional QMU torsional quantity and is not Maxwell's differential curl operator. A central conceptual revision concerns the distinction between mass and Magnetic Charge. The Ligamen Circulatus (LC) is treated as the localized linear matter structure whose mass is a physical property. Magnetic Charge is instead a distributed Aether-connected structure generated through the participation of LC angular momentum in Aether conductance. For a particle species $x$, $${e_{x\max}}^2=m_x{\lambda_C}^2F_q\,\mathrm{cond}.$$ Thus mass and Magnetic Charge are linked through the same underlying matter organization but are not treated as identical geometrical objects or as independently localized point sources. The common Aether force scale is $$\mathrm{Gforce}=m_a\lambda_C {F_q}^2.$$ The gravitational, magnetic, and electrostatic force coefficients are then expressed as projections of a common Aether structure while retaining their distinct geometrical participation. In particular, $$G=\mathrm{Gforce}\frac{{\lambda_C}^2}{{m_a}^2},$$ $$A_u=\mathrm{Gforce}\frac{{\lambda_C}^2}{{e_a}^2},$$ and $$k_C=\mathrm{Gforce}\frac{{\lambda_C}^2}{16\pi^2{e_a}^2}.$$ The electron magnetic-force scale at one quantum length closes as $$F_{M,q}^{(e)}=A_u\frac{{e_{emax}}^2}{{\lambda_C}^2}=\frac{\mathrm{phtn}}{{\lambda_C}^2}=m_e\lambda_C {F_q}^2,$$ where $$\mathrm{phtn}=m_e{\lambda_C}^3{F_q}^2,$$ and $\mathrm{phtn}=hc$ only when translated through the SI bridge. The geometrical modulus $$\frac{A_u}{k_C}=16\pi^2$$ is treated in this paper as an imported APM geometric result rather than as a new derivation. Version 2.0 includes a compact account of its loxodromic and dual-lattice provenance and directs the reader to the dedicated topological analysis for the full argument. The Casimir effect provides the paper's principal coefficient-level discriminator. In the $\mathrm{phtn}=hc$ convention, conventional ideal perfectly conducting plates predict $$\frac{F_C}{A}=-\frac{\pi}{480}\frac{\mathrm{phtn}}{a^4}.$$ The APM ideal-boundary hypothesis instead predicts $$\frac{F_C^{\mathrm{APM}}}{A}=-\frac{1}{16\pi^2}F_{M,q}^{(e)}\left(\frac{\lambda_C}{a}\right)^4=-\frac{1}{16\pi^2}\frac{\mathrm{phtn}}{a^4}.$$ Therefore the competing ideal coefficients are $$C_{\mathrm{APM}}=\frac{1}{16\pi^2},\qquadC_{\mathrm{Casimir}}=\frac{\pi}{480}.$$ Their algebraic ratio is $$\frac{C_{\mathrm{Casimir}}}{C_{\mathrm{APM}}}=\frac{\pi^3}{30},$$ but Version 2.0 assigns no independent physical APM meaning to $\pi^3/30$. It is not an inventory factor, holonomy correction, or adjustable residual. The APM coefficient $$\frac{1}{16\pi^2}$$ is retained as a protected ideal-limit prediction. Real-material corrections may be required when comparing with laboratory measurements, but they may not be used as a free multiplier to force agreement with the conventional coefficient. The paper also provides an extended historical analysis of the Casimir calculation. Casimir's 1948 perfect-conductor mode-sum approach is placed alongside the earlier Casimir--Polder treatment of retarded matter interactions and later material-response and source-theory formulations. The historical analysis emphasizes that observation of a Casimir force does not by itself uniquely establish a zero-point-vacuum ontology; different physical formulations can reproduce closely related macroscopic phenomena. The APM proposal is therefore framed as a competing physical mechanism with a quantitatively discriminating normalization rather than as an algebraic modification of the conventional coefficient. Version 2.0 also explicitly supersedes an obsolete statement in the original paper concerning the neutron. The earlier description characterized the bound electron--proton magnetic orientation as repulsive. In the current APM description, both the bound magnetic orientation and the opposite electrostatic orientation are attractive. Detailed neutron geometry, nuclear binding, beta-budget closure, Aether field dynamics, and relativity tests are developed in companion QADI publications rather than repeated in full here. This revision therefore preserves the historical purpose of the original Unified Force Theory calculation while bringing its terminology, QMU dimensional structure, Magnetic Charge ontology, Gforce closure, bibliographic framework, and falsifiable coefficient claims into agreement with the current Aether Physics Model research program.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-10
DOI
https://doi.org/10.5281/zenodo.22698570
Primary Topic
Quantum many-body systems
Type
preprint
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preprint

Calculations of the Unified Force Theory in the Aether Physics Model: QMU-Native Force Carriers, Distributed Charge, and Gforce Closure

David J. Thomson, James D. Bourassa
Zenodo (CERN European Organization for Nuclear Research)
Quantum many-body systems
preprint

Calculations of the Unified Force Theory in the Aether Physics Model: QMU-Native Force Carriers, Distributed Charge, and Gforce Closure

David J. Thomson, James D. Bourassa
preprint en

Abstract

Version 2.0 is a substantial modernization of the original \textit{Calculations of the Unified Force Theory as Explained in the Aether Physics Model}. It reformulates the force calculations of the Aether Physics Model (APM) in native Quantum Measurement Units (QMU), separates physical ontology from dimensional and coefficient bookkeeping, and places the original unified-force calculations within the current QADI research framework. The paper distinguishes four inferential statuses used throughout the analysis: identities, ledger closures, imported geometric results, and empirical predictions. This distinction prevents algebraic identities from being presented as independent physical predictions while preserving the structural role of the QMU ledger. The native QMU base quantities used in the force analysis are $$\{m_e,\lambda_C,F_q,e^2,{e_{emax}}^2\},$$ with the propagation identity $$c=\lambda_C F_q,$$ and Ledger One, $$A_u\,\mathrm{curl}={F_q}^2{\lambda_C}^2.$$ Here $\mathrm{curl}$ is the dimensional QMU torsional quantity and is not Maxwell's differential curl operator. A central conceptual revision concerns the distinction between mass and Magnetic Charge. The Ligamen Circulatus (LC) is treated as the localized linear matter structure whose mass is a physical property. Magnetic Charge is instead a distributed Aether-connected structure generated through the participation of LC angular momentum in Aether conductance. For a particle species $x$, $${e_{x\max}}^2=m_x{\lambda_C}^2F_q\,\mathrm{cond}.$$ Thus mass and Magnetic Charge are linked through the same underlying matter organization but are not treated as identical geometrical objects or as independently localized point sources. The common Aether force scale is $$\mathrm{Gforce}=m_a\lambda_C {F_q}^2.$$ The gravitational, magnetic, and electrostatic force coefficients are then expressed as projections of a common Aether structure while retaining their distinct geometrical participation. In particular, $$G=\mathrm{Gforce}\frac{{\lambda_C}^2}{{m_a}^2},$$ $$A_u=\mathrm{Gforce}\frac{{\lambda_C}^2}{{e_a}^2},$$ and $$k_C=\mathrm{Gforce}\frac{{\lambda_C}^2}{16\pi^2{e_a}^2}.$$ The electron magnetic-force scale at one quantum length closes as $$F_{M,q}^{(e)}=A_u\frac{{e_{emax}}^2}{{\lambda_C}^2}=\frac{\mathrm{phtn}}{{\lambda_C}^2}=m_e\lambda_C {F_q}^2,$$ where $$\mathrm{phtn}=m_e{\lambda_C}^3{F_q}^2,$$ and $\mathrm{phtn}=hc$ only when translated through the SI bridge. The geometrical modulus $$\frac{A_u}{k_C}=16\pi^2$$ is treated in this paper as an imported APM geometric result rather than as a new derivation. Version 2.0 includes a compact account of its loxodromic and dual-lattice provenance and directs the reader to the dedicated topological analysis for the full argument. The Casimir effect provides the paper's principal coefficient-level discriminator. In the $\mathrm{phtn}=hc$ convention, conventional ideal perfectly conducting plates predict $$\frac{F_C}{A}=-\frac{\pi}{480}\frac{\mathrm{phtn}}{a^4}.$$ The APM ideal-boundary hypothesis instead predicts $$\frac{F_C^{\mathrm{APM}}}{A}=-\frac{1}{16\pi^2}F_{M,q}^{(e)}\left(\frac{\lambda_C}{a}\right)^4=-\frac{1}{16\pi^2}\frac{\mathrm{phtn}}{a^4}.$$ Therefore the competing ideal coefficients are $$C_{\mathrm{APM}}=\frac{1}{16\pi^2},\qquadC_{\mathrm{Casimir}}=\frac{\pi}{480}.$$ Their algebraic ratio is $$\frac{C_{\mathrm{Casimir}}}{C_{\mathrm{APM}}}=\frac{\pi^3}{30},$$ but Version 2.0 assigns no independent physical APM meaning to $\pi^3/30$. It is not an inventory factor, holonomy correction, or adjustable residual. The APM coefficient $$\frac{1}{16\pi^2}$$ is retained as a protected ideal-limit prediction. Real-material corrections may be required when comparing with laboratory measurements, but they may not be used as a free multiplier to force agreement with the conventional coefficient. The paper also provides an extended historical analysis of the Casimir calculation. Casimir's 1948 perfect-conductor mode-sum approach is placed alongside the earlier Casimir--Polder treatment of retarded matter interactions and later material-response and source-theory formulations. The historical analysis emphasizes that observation of a Casimir force does not by itself uniquely establish a zero-point-vacuum ontology; different physical formulations can reproduce closely related macroscopic phenomena. The APM proposal is therefore framed as a competing physical mechanism with a quantitatively discriminating normalization rather than as an algebraic modification of the conventional coefficient. Version 2.0 also explicitly supersedes an obsolete statement in the original paper concerning the neutron. The earlier description characterized the bound electron--proton magnetic orientation as repulsive. In the current APM description, both the bound magnetic orientation and the opposite electrostatic orientation are attractive. Detailed neutron geometry, nuclear binding, beta-budget closure, Aether field dynamics, and relativity tests are developed in companion QADI publications rather than repeated in full here. This revision therefore preserves the historical purpose of the original Unified Force Theory calculation while bringing its terminology, QMU dimensional structure, Magnetic Charge ontology, Gforce closure, bibliographic framework, and falsifiable coefficient claims into agreement with the current Aether Physics Model research program.

Zenodo (CERN European Organization for Nuclear Research)
Dynamic Research (United States) (US), Quantum AetherDynamics Institute (US)
Quantum many-body systems
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