The Relational Geometry of the Aether Fabric: Six-Port Chronogeometric Closure, Particle-Mass Balance, and Discrete Compatibility Propagation

This paper develops a six-port chronogeometric model of persistent discrete space within the Aether Physics Model and Quantum Measurement Units framework. The construction begins from the internal--external--relational balance condition $$\frac{m_p^{(0)}}{m_e}=\left(\frac{A_u}{k_C}\right)\Pi_{\mathrm{phys}}=16\pi^{2}\left(\frac{6\pi^{3}}{16}\right)=6\pi^{5},$$ which joins the leading proton--electron mass relation, the Aether-unit orientation geometry, and the relational packing invariant. The result is interpreted as a balance among internal stable-particle mass closure, unit-local Aether capacity, and neighboring compatibility geometry. Six equally spaced relational phase components are shown to form the vertices of a regular five-dimensional simplex, with Gram matrix $$G_{ij}=\delta_{ij}-\frac{1}{6}.$$ Antipodal phase translation separates the five nonconstant coordinates exactly into three odd spatial coordinates and two even temporal coordinates: $$5=3+2.$$ The odd projection yields six exact octahedral port normals arranged as three antipodal orthogonal pairs. Their dual external compatibility cell is cube-like and supports six face-sharing nearest-neighbor relations. The internal Aether Unit is not thereby redefined as a cube; its internal geometry remains the double-carrier, loxodromic, toroidal-spherical chronogeometry, while the cubic cell represents its external relational domain. The paper corrects earlier six-string and sheet terminology. The six packing components are six simultaneous relational closure components, not six simultaneously occupied Ligamen channels. Only one loxodromic channel is materially occupied at an exposed moment. Temporal branches are orientation and coordinate structures, not separate physical sheets. A packing-informed nearest-neighbor compatibility functional is constructed from the additive Ledger strain $$\varepsilon=\ln D(\eta).$$ Variation of the functional produces one carrier-resolved graph equation for mass, electrostatic-charge, magnetic-charge, and holonomy deformation. The three primitive source injections are $$\nu_M=-\frac{M}{m_a},$$ $$\nu_E=\frac{\alpha}{2\pi}N_E,$$ and $$\nu_B=N_B.$$ Magnetic charge in this work denotes the distributed loxodromic charge geometry of the Aether Unit. It is not a point-like particle, an isolated monopole, or a separately liberated material species. The signed magnetic source measure records the participation of this distributed geometry in neighboring Aether compatibility. The mass sector follows the Primacy of Space ordering. The spatial dynamic-domain invariant first establishes Keplerian orbital coherence, $$r^{3}\,\mathrm{rson}_{\mathrm{orb}}={\lambda_C}^{3}{F_q}^{2}\frac{M}{m_a},$$ before the corresponding acceleration and Newtonian force representation are introduced. The continuum Green limit of the common compatibility operator produces the familiar $1/r$ interaction potentials and inverse-square force forms only after a material test response is applied. A preliminary unitary six-port photon-transfer operator is also developed. Across a shared interface, the exposed spatial normal reverses while the two-dimensional temporal registration remains continuous: $$(\boldsymbol n,\boldsymbol t)\longmapsto(-\boldsymbol n,\boldsymbol t).$$ The exact homogeneous fixed-frame lattice dispersion is derived as a reciprocal sixth-degree polynomial and reduced to a cubic equation. For the natural three-registration temporal cycle, its long-wave propagating branch has rate $$v_{\mathrm{locked}}=\frac{c}{\sqrt{3}}.$$ This is an exact diagnostic eigenmode of the globally frame-locked conditional operator, not a universal free-space prediction. It demonstrates that a static cubic port frame is incomplete. Physical free propagation requires a dynamically transported local octahedral frame and a two-state transverse temporal photon sector. The work records a completed foundational layer of six-port kinematics, particle-mass balance, carrier-source injection, nearest-neighbor compatibility propagation, and fixed-frame dynamics. It distinguishes algebraically derived results from constitutive selections and unresolved dynamical problems. The remaining program includes the physical derivation of the neighbor spacing, explicit interface geometry, absolute edge stiffness, a compatibility equation for the local frame field, the two-state photon operator, and an independent numerical or experimental prediction.

Authors

Institutions

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-25
DOI
https://doi.org/10.5281/zenodo.21566518
Primary Topic
Algebraic structures and combinatorial models
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

The Relational Geometry of the Aether Fabric: Six-Port Chronogeometric Closure, Particle-Mass Balance, and Discrete Compatibility Propagation

David J. Thomson
Zenodo (CERN European Organization for Nuclear Research)
Algebraic structures and combinatorial models
preprint

The Relational Geometry of the Aether Fabric: Six-Port Chronogeometric Closure, Particle-Mass Balance, and Discrete Compatibility Propagation

David J. Thomson
preprint en

Abstract

This paper develops a six-port chronogeometric model of persistent discrete space within the Aether Physics Model and Quantum Measurement Units framework. The construction begins from the internal--external--relational balance condition $$\frac{m_p^{(0)}}{m_e}=\left(\frac{A_u}{k_C}\right)\Pi_{\mathrm{phys}}=16\pi^{2}\left(\frac{6\pi^{3}}{16}\right)=6\pi^{5},$$ which joins the leading proton--electron mass relation, the Aether-unit orientation geometry, and the relational packing invariant. The result is interpreted as a balance among internal stable-particle mass closure, unit-local Aether capacity, and neighboring compatibility geometry. Six equally spaced relational phase components are shown to form the vertices of a regular five-dimensional simplex, with Gram matrix $$G_{ij}=\delta_{ij}-\frac{1}{6}.$$ Antipodal phase translation separates the five nonconstant coordinates exactly into three odd spatial coordinates and two even temporal coordinates: $$5=3+2.$$ The odd projection yields six exact octahedral port normals arranged as three antipodal orthogonal pairs. Their dual external compatibility cell is cube-like and supports six face-sharing nearest-neighbor relations. The internal Aether Unit is not thereby redefined as a cube; its internal geometry remains the double-carrier, loxodromic, toroidal-spherical chronogeometry, while the cubic cell represents its external relational domain. The paper corrects earlier six-string and sheet terminology. The six packing components are six simultaneous relational closure components, not six simultaneously occupied Ligamen channels. Only one loxodromic channel is materially occupied at an exposed moment. Temporal branches are orientation and coordinate structures, not separate physical sheets. A packing-informed nearest-neighbor compatibility functional is constructed from the additive Ledger strain $$\varepsilon=\ln D(\eta).$$ Variation of the functional produces one carrier-resolved graph equation for mass, electrostatic-charge, magnetic-charge, and holonomy deformation. The three primitive source injections are $$\nu_M=-\frac{M}{m_a},$$ $$\nu_E=\frac{\alpha}{2\pi}N_E,$$ and $$\nu_B=N_B.$$ Magnetic charge in this work denotes the distributed loxodromic charge geometry of the Aether Unit. It is not a point-like particle, an isolated monopole, or a separately liberated material species. The signed magnetic source measure records the participation of this distributed geometry in neighboring Aether compatibility. The mass sector follows the Primacy of Space ordering. The spatial dynamic-domain invariant first establishes Keplerian orbital coherence, $$r^{3}\,\mathrm{rson}_{\mathrm{orb}}={\lambda_C}^{3}{F_q}^{2}\frac{M}{m_a},$$ before the corresponding acceleration and Newtonian force representation are introduced. The continuum Green limit of the common compatibility operator produces the familiar $1/r$ interaction potentials and inverse-square force forms only after a material test response is applied. A preliminary unitary six-port photon-transfer operator is also developed. Across a shared interface, the exposed spatial normal reverses while the two-dimensional temporal registration remains continuous: $$(\boldsymbol n,\boldsymbol t)\longmapsto(-\boldsymbol n,\boldsymbol t).$$ The exact homogeneous fixed-frame lattice dispersion is derived as a reciprocal sixth-degree polynomial and reduced to a cubic equation. For the natural three-registration temporal cycle, its long-wave propagating branch has rate $$v_{\mathrm{locked}}=\frac{c}{\sqrt{3}}.$$ This is an exact diagnostic eigenmode of the globally frame-locked conditional operator, not a universal free-space prediction. It demonstrates that a static cubic port frame is incomplete. Physical free propagation requires a dynamically transported local octahedral frame and a two-state transverse temporal photon sector. The work records a completed foundational layer of six-port kinematics, particle-mass balance, carrier-source injection, nearest-neighbor compatibility propagation, and fixed-frame dynamics. It distinguishes algebraically derived results from constitutive selections and unresolved dynamical problems. The remaining program includes the physical derivation of the neighbor spacing, explicit interface geometry, absolute edge stiffness, a compatibility equation for the local frame field, the two-state photon operator, and an independent numerical or experimental prediction.

Zenodo (CERN European Organization for Nuclear Research)
Dynamic Research (United States) (US), Quantum AetherDynamics Institute (US)
Algebraic structures and combinatorial models
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.