Holographic Light-Field Topology (HLT) Part I: A 5D Geometric Framework for Instant Fields, Scale-Loops, and Holographic Mass

This paper proposes Holographic Light-Field Topology (HLT), a geometric framework designedto unite quantum mechanics and general relativity without the insertion of unobserved exoticparticles (e.g., Dark Matter). HLT hypothesizes that 4D spacetime is a discrete lattice where thespeed of light (c) acts strictly as a geometric rendering limit, while phase information propagatesinstantaneously via a 5-dimensional bulk light field. By proposing that the universe possessesa closed-loop scale topology (S1), the Cosmic Boundary is topologically stitched to the PlanckScale. Fundamental particles are modeled as holographic shards of this Cosmic Anchor bleedingthrough the 4D lattice, where mass is redefined as the vibrational data resolution of the hologram.Utilizing the geometric bounds of the Hubble Horizon and the 2π2 geometry of a 4D spacetimehypersphere, we derive the Gravitational Constant (G) purely from quantum constants. Thisnon-circular derivation natively resolves the H0 Hubble Tension, derives the empirical Tully-Fisherrelation for galactic rotation, and posits falsifiable predictions for absolute neutrino masses andBose-Einstein condensates.