The Dynamical Geometry of the Aether Fabric: Frame-Transported Six-Port Propagation, Two-State Temporal Closure, and Exact Recovery of the Photon Speed
This paper completes the dynamical photon sector of the six-port Aether fabric developed in the preceding relational-geometry paper. That construction derived an exact octahedral compatibility frame and a conditional fixed-frame photon operator whose long-wave propagating branch had rate $c/\sqrt{3}$ rather than $c$. The result identified two missing structures: compatibility-driven transport of the local octahedral frame and two physical photon states in the inherited two-dimensional temporal sector. The six sampled phase components provide an orthonormal interface triad. In addition to the odd spatial normal, the phase geometry produces an even interface axis that is an exact affine lift of the temporal registration. Reversal of the spatial normal together with continuity of the even temporal axis uniquely determines a proper half-turn across a shared compatibility port. A packing-weighted frame mismatch then yields an explicit discrete torque equation. The direction that aligns the frame is derived from the local six-port phtn state rather than prescribed externally, and the first scalar capable of selecting an octahedral orientation is the fourth spatial moment. The operator is explicitly embedded in the established Aether Physics Model photoelectric ontology. Planck's constant is the QMU angular-momentum quantum, $$h \equiv \mathrm{angm}=m_e{\lambda_C}^{2}{F_q},$$ and the phtn is the frequency-independent quantum of action at a distance, $$\mathrm{phtn}=hc=\mathrm{angm}\,c=m_e{\lambda_C}^{3}{F_q}^{2}.$$ The continuous transported light quantity emitted at source freq $f_L$ is $$\mathrm{ligt}_L=\mathrm{phtn}\,f_L.$$ The paper does not define the phtn as an enrg packet and does not adopt $E=hf$ as an APM ontology or dynamical premise. Source freq determines continuous ligt content and common temporal phase accumulation. Material enrg response occurs only when transported ligt is received by a compatible material structure through the photoelectric accumulation and gate process. The exact QMU transport closure is $$\dfrac{\mathrm{phtn}}{t_q}=\mathrm{phtn}F_q=\mathrm{ligt}_q=\mathrm{irrd}\,\mathrm{volm}=m_e{\lambda_C}^{3}{F_q}^{3},$$ where $t_q={F_q}^{-1}$, $\mathrm{irrd}=m_e{F_q}^{3}$, and $\mathrm{volm}={\lambda_C}^{3}$. Consequently, $$\dfrac{\mathrm{ligt}_L}{\mathrm{ligt}_q}=\dfrac{f_L}{F_q},$$ and the source-dependent part of the common temporal phase is $$2\pi\dfrac{f_L}{F_q}=2\pi\dfrac{\mathrm{ligt}_L}{\mathrm{ligt}_q}.$$ This is a dimensionless ligt and phase ratio, not an assignment of $hf$ enrg to a particle-like photon. The global phtn geometry is an expanding cardioid-weighted front. One quantum moment advances the front by one Compton length, so after $n$ moments, $$r_n=n\lambda_C.$$ The discrete front support grows as $$A_n=n^{2}{\lambda_C}^{2}=r_n^{2}.$$ With normalized cardioid weighting $$W_{\gamma}(\theta)=\dfrac{1+\zeta_{\gamma}\cos\theta}{4\pi},$$ the local areal light intensity is $$\mathrm{lint}(r_n,\theta)=\dfrac{\mathrm{ligt}_L}{r_n^{2}}W_{\gamma}(\theta).$$ The inverse-square decrease is therefore geometric rather than dissipative. The total phtn and ligt content is conserved while that content is distributed over an increasing number of Aether-front elements. The six-port state represents the local temporal transport state of one such cardioid-front element as it crosses an Aether Unit. It is not the entire phtn concentrated at one node and is not a point-particle trajectory through a cubic lattice. The inherited temporal plane carries the canonical complex structure $J_T^{2}=-I_2$. Its two complex eigenspaces provide opposite temporal-handed photon states. A unitary link connection transports these states with opposite holonomy phases while preserving their common positive phtn content. Independently, a nonnegative turning functional is minimized uniquely by the antipodal straight-through coin. The complete dynamically transported operator is therefore unitary and reciprocal. Its exact homogeneous characteristic polynomial is a reciprocal degree-twelve product. In the aligned unloaded physical sector, the polynomial reduces to $$\left(z^{2}-2\cos K\,z+1\right)^{2}=0,$$ and the two temporal-handed branches satisfy $$\Omega_{\gamma,+}^{2}=\Omega_{\gamma,-}^{2}=K^{2}$$ throughout the principal phase interval. With the inherited Aether spacing $d_A=\lambda_C$ and quantum moment $t_q={F_q}^{-1}$, the free propagation rate is $$v_{\mathrm{free}}=\dfrac{\lambda_C}{t_q}=\lambda_CF_q=c,$$ without a compensating numerical factor, altered step length, or modified quantum moment. Constraining the independent two-state temporal fiber back into the six-dimensional port-temporal subspace exactly recovers the predecessor's frame-locked branch, $$v_{\mathrm{locked}}=\dfrac{c}{\sqrt{3}}.$$ The free and locked modes are therefore different temporal-rank classes of the same six-port Aether geometry rather than endpoints of an adjustable interpolation. The first dynamic departures from free propagation are controlled by frame misalignment and temporal holonomy. A one-class $\mathbb Z_3$ temporal-registration slip produces the coefficient-free conditional prediction $$\Delta\chi_{\mathrm{oriented}}=\pm\dfrac{2\pi}{3},$$ corresponding to an oriented temporal-polarization rotation of $\pm120^{\circ}$ or an unoriented axis rotation of $60^{\circ}$. The completed dynamical chain is $$\text{emission holonomy}\rightarrow\mathrm{phtn}=hc\rightarrow\text{expanding cardioid front}\rightarrow\text{local six-port transport}\rightarrow\mathrm{ligt}_L\rightarrow\text{photoelectric compatibility gate}\rightarrow\text{material enrg response}.$$ The source package contains the complete LaTeX project, vector figures, figure-generation code, independent symbolic and numerical validation programs, derivation memoranda, cumulative claims ledger, validation reports, and a SHA-256 manifest. The cumulative internal audit contains 38 passing checks. These checks establish algebraic, dimensional, operator, and build consistency under the stated inherited and constitutive assumptions; they do not constitute external experimental validation. The paper acknowledges the earlier geometric work of Tom Gutman, whose loxodromic and cardioid constructions motivated the continuing search for a realizable Aether geometry.
Authors
- David J. Thomson (ORCID: https://orcid.org/0000-0002-5830-5427)
Institutions
- Dynamic Research (United States) (US)
- Quantum AetherDynamics Institute (US)
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-07-26
- DOI
- https://doi.org/10.5281/zenodo.21607738
- Primary Topic
- Quantum Mechanics and Applications
- Type
- preprint