Theoretical modeling demonstrates structural derivation of fundamental constants from a seven-cell spacetime lattice, suggesting physical parameters emerge from microscopic geometry.
This article develops a constitutive model of spacetime within the HoloGenesis framework based on a minimal local cluster of seven interacting Subitron cells: one central unit coupled to six nearest neighbours distributed along three mutually orthogonal directions. The construction is deliberately restricted to the locally metric regime of the theory. It does not attempt to describe whatever pre-geometric condition may precede spacetime, since concepts such as adjacency, orthogonality, radius, contact area, and nearest-neighbour relations already presuppose an established local metric structure. The seven-Subitron cluster is therefore introduced as a constitutive model of spacetime once such local relations have become physically meaningful. The purpose of the model is to investigate whether a minimal three-dimensional coherence architecture can generate, or structurally reconstruct, a substantial set of physical quantities that otherwise appear independent. The central-shell mechanics of the one-plus-six configuration produces a reduced-inertia factor of six-sevenths. Combined with the bulk-to-boundary relation of an idealized spherical coherence domain, this yields a primitive overlap penetration of approximately 0.17935 and a corresponding primitive bond participation of approximately 0.04536. The latter lies within about one percent of the electromagnetic action fraction represented by two pi times the fine-structure constant. Because a central Subitron is simultaneously loaded through six contacts, the primitive two-body overlap is distinguished from the effective participation of the complete seven-cell neighbourhood. The resulting working closure interprets the fine-structure constant as the fraction of a complete action quantum participating in the elementary electromagnetic overlap channel. The same architecture provides a candidate microscopic interpretation of electromagnetism. Antisymmetric transverse differential-phase modes between opposed Subitron pairs are identified as the lattice degrees of freedom from which electromagnetic propagation emerges. Elementary charge is consequently interpreted as a differential-phase quantum, while capacitance, inductance, and characteristic impedance become constitutive properties of the same phase architecture rather than externally imposed electromagnetic parameters. Under this interpretation, the radiative sector belongs to the collective dynamics of the spacetime lattice itself. A second branch follows from the primitive overlap through a transverse handoff amplitude of approximately 4.70 × 10⁻³. Interpreting this quantity as the amplitude for transition from a coherent channel into an orthogonal decorrelated channel gives a per-handoff decoherence probability equal to its square and a characteristic coherence depth of approximately 45,000 microscopic handoffs. Using the proton rms charge radius as an empirically accessible coherence ruler then produces a microscopic lattice pitch of approximately 3.95 × 10⁻¹⁸ metres. This scale is radically distinct from the millimetric wavelength associated with the 2.7 K cosmic thermal background and therefore separates the microscopic architecture of the lattice from its low-frequency collective thermal modes. An independent dynamical branch identifies the observed top-sector energy with the maximum localized frequency tension permitted by the six-neighbour lattice dispersion. This gives a characteristic local response rate of approximately 7.57 × 10²⁵ radians per second. The spatial scale obtained from proton coherence and the dynamical scale obtained from the high-energy sector then reconverge: their product yields a propagation velocity of approximately 2.99 × 10⁸ metres per second. The same velocity is recovered independently from the continuum ratio of the lattice gradient stiffness to its phase-inertia density. This reconvergence provides the basis for interpreting the speed of light not as an externally imposed constant but as the long-wavelength propagation velocity of the locally metric spacetime substrate. The reconstructed microscopic stiffness and phase inertia further imply an effective volumetric phase modulus of order 10⁴² pascals. Spacetime is therefore modeled as an extraordinarily stiff but finitely compliant tensegrity medium whose stability originates in overlap, prestress, and coherent phase coupling. Within this picture, gravitational behaviour becomes a prospective consequence of persistent deformation of an already prestressed substrate rather than an independent interaction imposed upon otherwise empty space. The present construction supplies the compliance side of this problem, while the absolute mapping between localized wrapper energy and lattice phase stress remains to be derived. Because the electromagnetic sector is identified with transverse collective modes of the same lattice, quantization of these modes in thermal equilibrium yields the usual Planck distribution with two transverse bosonic degrees of freedom. The thermal quantum scale defined by temperature is explicitly distinguished from a spectral cutoff: at the observed CMB temperature it corresponds to approximately 56.8 GHz, whereas the maximum of spectral radiance per unit frequency occurs near 160.3 GHz. The microscopic Subitron response frequency, by contrast, lies near 10²⁵ Hz, demonstrating that an ultrafast microscopic substrate can coexist with a much colder population of long-wavelength collective modes. The locally balanced seven-cell cluster also contains three opposed directional pairs whose radiative contributions cancel in the coherent state. Darkness is therefore interpreted not as an absence of microscopic dynamics but as coherent cancellation. If the per-pair decoherence probability is determined by the square of the handoff amplitude, the leading independent-axis approximation gives a three-dimensional leakage probability proportional to the sixth power of that amplitude. Combining this suppression with the harmonic central-shell energy factor produces a characteristic microscopic leakage energy. Under the additional hypothesis that this leakage energy establishes the equilibrium scale of the globally connected transverse-mode reservoir, the primitive model yields a thermal scale of approximately 2.68 K without inserting the measured 2.725 K CMB temperature into the calculation. This numerical proximity is not presented as a completed derivation of the cosmological microwave background temperature. The model still requires an explicit mechanism connecting microscopic leakage to a globally connected normal-mode reservoir, a derivation of detailed balance, and an account of the cosmological evolution of the radiation temperature and its angular and polarization structure. The 2.68 K result is therefore interpreted more cautiously as a candidate lattice leakage-equivalent thermal scale whose possible identification with the present CMB monopole remains to be established dynamically. The central result of the seven-Subitron construction is consequently not any single numerical agreement. It is the emergence of a common constitutive network in which local overlap geometry, fine structure, differential-phase charge, electromagnetic impedance, microscopic coherence length, propagation velocity, Maxwell response, spacetime stiffness, tensegrity, and a candidate cosmic thermal scale descend from a small interconnected set of lattice quantities. The remaining task is no longer primarily to extend this network by additional numerical correspondences, but to derive its unresolved microscopic closures and determine whether the local seven-cell architecture can consistently scale into the observed global phenomenology of spacetime and cosmology.
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Grégoire Mommaerts (2026) studied this question.
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