Compton–Planck Scale Coupling and a Holographic Surface Interpretation of Quantum Information

This work is a revised and extended version of the previous preprint. The revised model replaces the earlier volume/energy interpretation with a geometric and holographic surface interpretation. The central hypothesis is that the large dimensionless quantity obtained from the Compton–Planck scale relation should not be interpreted as a particle number or as an energy density. Instead, it is proposed as a candidate information-capacity scale associated with a single electron quantum state represented on a two-dimensional spherical boundary. The model treats the ratio between the electron Compton wavelength and the Planck length as a dynamic-to-static scale factor and incorporates a spherical geometry, holographic area scaling, and the normalized surface representation of the electron wavefunction. The resulting geometric information scale is then compared with the large hierarchy appearing in quantum-field-theoretic estimates of vacuum energy. This version also revises the interpretation of the previous � result and discusses why the relevant quantity should instead be formulated as a geometric information scale rather than a direct energy or particle count. The proposed framework is presented as a hypothesis requiring further mathematical and physical verification.