Published August 4, 2025 | Version v1
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Spinor Geometry and Vacuum Coupling in Photon Field Theory

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We propose a unified framework in which the photon's phase and spin are treated not merely as internal quantum parameters but as geometric coordinates embedded in an extended configuration space.  By extending the d'Alembertian operator to include derivatives with respect to these internal angles, we develop a field equation in which the photon acquires effective mass and magnetic moment through nonlinear self-interaction.  This mass-like behavior arises from the curvature of internal spin-phase space, without requiring an actual rest mass.  We show that gravitational and vacuum energy potentials can be of comparable magnitude, allowing spin-dependent energy shifts to source gravitational effects.  In this view, changes in spin state behave as localized variations in energy that gravitate, linking quantum transitions to spacetime geometry.  On large scales, the interplay between 3D gravitational attraction and 2D vacuum-like repulsion leads to a modified potential that naturally produces flat galactic rotation curves without invoking dark matter.  This model predicts measurable consequences such as spinor precession, polarization-dependent phase shifts, and interferometric signatures in structured magnetic fields.  These effects suggest that spin and phase may represent genuine directions in an augmented space, and that gravitational behavior may emerge from internal quantum geometry.  The results point toward a deeper synthesis of quantum mechanics and gravity, rooted in the geometric structure of the photon itself.

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Publication: 10.5281/zenodo.15546563 (DOI)

Dates

Submitted
2025-08-04

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