Dark Graviton Membrane Theory: Photon Masslessness and Dark Matter from Mode Separation in Emergent Three-Dimensional Space

This paper proposes a phenomenological interpretation of photon masslessness and dark matter within a geometric framework in which three-dimensional space emerges from particle-pair generation and a network of oscillating two-dimensional circular graviton membranes. We hypothesize that a primordial photon–graviton-membrane composite excitation separated, during spatial emergence, into two orthogonal normal modes: a massless electromagnetic mode identified with the photon and a massive, non-luminous membrane mode carrying the effective rest-mass and curvature degrees of freedom. Photon masslessness is not identified with gravitational inactivity: the photon retains energy and momentum, contributes to the stress-energy tensor, follows curved null trajectories, and gravitates through its energy-momentum. The proposed distinction is instead that the photon does not carry the massive membrane eigenmode responsible for a persistent rest-energy-like dark source. Electromagnetic gauge invariance is required to protect the zero eigenvalue of the photon mode. The separation is assigned to the primordial emergence transition, not to each later emission of an ordinary photon; otherwise stellar energy loss and continuous dark-matter production would create immediate phenomenological conflicts. The residual membrane mode may form extended galactic halos and contribute to flat rotation curves, gravitational lensing, and mass offsets in merging galaxy clusters. The proposal is explicitly exploratory and is not presented as a replacement for ΛCDM at its current stage. A covariant gauge-invariant action, a consistent production history, cosmological perturbation theory, and simultaneous fits to dynamical and lensing data are required before quantitative comparison with established models is possible.