Deriving the Elementary Charge from Shell-Horizon Polarization Closure in HoloGenesis

Abstract This article presents a HoloGenesis reconstruction of the elementary charge as the SI-measurable charge unit associated with stable subitron phase-tip polarization closure and electron shell-horizon containment. In standard electrodynamics, the elementary charge is usually treated as an empirical primitive, while the fine-structure constant is expressed through a relation linking charge, vacuum permittivity, Planck’s reduced constant, and the speed of light. This relation is mathematically successful, but it does not explain why charge has the value it has. It also risks circularity if one attempts to derive charge from an expression in which the fine-structure constant or vacuum permittivity has already been defined through charge. HoloGenesis approaches the problem differently. It begins with the geometric interpretation of the fine-structure constant as a shell-compression ratio. In this reading, the fine-structure constant expresses the relation between the reduced Compton radius of the electron wrap and the thickness of the electron shell horizon. This places the fine-structure constant upstream of the standard electromagnetic identity, rather than treating it first as a coupling expression built from charge and vacuum permittivity. 9, 41, 42, 47 The updated HoloGenesis interpretation also clarifies the status of charge itself. The elementary charge is not treated as a substance attached to the electron after the fact. It is reconstructed as the impedance-normalized charge unit selected by the electromagnetic response of the subitron lattice under stable phase-tip closure. In this reconstruction, the subitron charge-normalization unit is obtained from quantum action, fine-structure shell compression, and the electromagnetic impedance of the subitron lattice. It is therefore not introduced as the elementary charge by assertion. If the subitron lattice response yields the observed vacuum impedance, then this charge-normalization unit becomes the elementary charge. In the corrected Maxwell-response reconstruction, the subitron base gives an impedance close to the measured vacuum impedance. Thus, within HoloGenesis, the elementary charge is interpreted as the impedance-normalized charge of stable electron containment: the SI-measurable charge unit induced when subitron lattice impedance, quantum action, and electron shell compression meet. Charge is then interpreted not as a point property, but as the closure of normal polarization across the electron shell. For a spherical shell surface, the total charge corresponds to the integrated normal polarization over that surface. The local polarization density is related to the shell-horizon field by the lattice compliance relation. In the companion reconstruction of the maximum electron horizon field, this field is expressed as the electron rest-energy gradient across the horizon thickness. 43 This gives the electron sealing condition. It states that the electron horizon field is the field required to express the full electron rest-energy across the shell-horizon length. In HoloGenesis terms, the electron rest-energy is the electron unwrapping work, while the maximum horizon field is the sealing field that prevents unwrapping. The subitron floor provides the upstream mechanical closure logic. Beginning from the corrected floor frequency of approximately 56.8 GHz and its associated wavelength, the spherical subitron floor-cell construction gives a non-circular mechanical closure tension. This tension is obtained without inserting elementary charge or vacuum permittivity. The corresponding floor closure field is then obtained by charge normalization through the subitron charge-normalization unit. When the subitron lattice impedance matches the observed vacuum impedance, the subitron charge-normalization unit becomes the elementary charge. The resulting floor closure field is not the electron shell field. It is the floor-level electric expression of subitron anti-unwrapping tension after impedance-normalized charge closure. The electron shell field is obtained by local shell amplification. This amplification depends on the ratio between the localized electron shell-horizon mode and the primitive subitron floor frequency. The electron shell mode is derived from electron rest-frequency and fine-structure compression, while the primitive subitron floor remains the cosmological lattice-floor frequency. The two must not be confused. The full updated sequence therefore begins with the subitron floor, proceeds through mechanical closure tension, lattice impedance, charge normalization, floor closure field, electron shell amplification, maximum horizon field, normal polarization, charge closure, and finally the downstream reconstruction of vacuum permittivity. In this chain, the elementary charge appears twice in a controlled way: first as the impedance-normalized charge unit selected by the lattice, and then as the shell-integrated polarization required for electron containment. This article therefore reconstructs charge as the measurable closure of the electron containment channel. It does not claim that the SI dimension of charge is derived from geometry alone. Rather, it identifies the elementary charge as the impedance-normalized phase-tip charge unit required for a wrapped electron shell not to unwrap. The result relocates the elementary charge from the status of an isolated primitive to the status of shell-horizon polarization closure within the subitron lattice.