Deriving the Fine-Structure Constant, alpha, from Lattice Polarization at the Electron Shell Horizon

Abstract This article presents a HoloGenesis reconstruction of the fine-structure constant as a geometric compression ratio arising from lattice polarization at the electron shell horizon. Within this framework, the electron is not modeled as a dimensionless point charge, but as a wrapped coherence state: an equatorial closed glide stabilized by the subitron lattice. This interpretation continues the HoloGenesis treatment of particles as wrapped coherence structures rather than point objects inserted into empty space. 7, 35, 38, 42 The electron’s charge is not treated as an external property added afterward. It is interpreted as the charge unit selected by the electromagnetic impedance of the subitron lattice under stable phase-tip closure. In this updated reconstruction, the elementary charge is understood as the measurable charge of stable electron containment, rather than as a primitive substance merely carried by the electron. This charge-normalization logic is developed in the HoloGenesis reconstructions of subitron phase closure, elementary charge, and the electron electromagnetic closure chain. 41, 42, 64, 66 The derivation begins by assigning an electromagnetic energy balance to the electron shell horizon. A fraction of the electron’s per-cycle quantum is stored in the electric component of the shell field. The normal polarization of this layer then produces the bound surface charge. When the horizon energy balance, the polarization closure of the shell, and the dimensionless electromagnetic reading of the fine-structure constant are brought together, the fine-structure constant appears as a relation between the electron’s internal wrap radius, the shell-horizon polarization length, and the electric share of the horizon-cycle energy. For a harmonic electron horizon in which electric and magnetic field energies are equipartitioned, the fine-structure constant reduces to the ratio between the electron’s internal wrap radius and its external polarization horizon. Using the reduced Compton radius for the electron wrap and identifying the shell-horizon polarization length with the Bohr-radius scale, the observed value of the fine-structure constant is recovered. In HoloGenesis terms, the smallness of the fine-structure constant expresses the fact that the electron’s internal wrapped radius is much smaller than the horizon length through which its charge is expressed. This interpretation is continuous with the dedicated HoloGenesis reconstruction of the fine-structure constant and with the companion electron-shell field and elementary-charge reconstructions. 47, 43, 65, 66 This article also incorporates the corrected subitron-floor update. The primitive floor frequency is distinguished from the CMB spectral peak, from the stride traces of the lattice, and from the local electron shell mode. In this corrected hierarchy, the subitron floor gives the primitive thermal-frequency condition of the lattice, while the CMB peak and stride traces are downstream spectral or geometric expressions of that floor. These corrected subitron values follow the methodological revision introduced in the dark-cloud architecture, Maxwell-response, and subitron-floor derivation articles. 54, 55, 63 The spherical subitron-cell construction provides a non-circular electromagnetic closure tension. This closure tension is not yet an electric field, because an electric field requires charge normalization. The corrected Maxwell-response route reconstructs the subitron impedance close to the observed vacuum impedance. Once this impedance is used to define the subitron charge-normalization unit, the floor closure field becomes the floor-level electric expression of subitron anti-unwrapping tension after impedance-normalized charge closure. This floor field is not the electron shell field. It is the global floor-level closure expression. The local electron shell field arises by shell amplification through the enormous compression between the primitive subitron floor and the electron shell mode. In this way, the weak floor field becomes the extreme electron shell horizon field through frequency-compression squared. The full HoloGenesis sequence therefore runs from the subitron floor, to closure tension, to lattice impedance, to charge normalization, to elementary charge, to floor closure field, to electron shell mode, to maximum shell field, to normal polarization, to charge closure, and finally to the fine-structure constant. This article does not claim an unconditional derivation of the fine-structure constant from no empirical inputs. Rather, it presents a conditional structural reconstruction: if the electron is modeled as a polarized closed-glide excitation of the subitron lattice, if its charge is the impedance-normalized phase-tip closure unit, and if the shell horizon obeys harmonic electric-magnetic equipartition, then the fine-structure constant emerges as the ratio between the electron wrap scale and the shell-horizon length.