The Holographic Origin of Matter and Dynamics: A Unified Geometric Framework

We present a phenomenological unified framework in which the values of fundamental physical constants emerge from a single dimensionless structural parameter, Ω ≈ 117. 038, interpreted as a bound on holographic information compression in spacetime. This framework, termed TARDIS (Topological Analysis of Recursive Dimensional Information Systems), explores the hypothesis that particle properties and interactions are geometric constraints imposed by finite information capacity rather than independent fundamental inputs. Within this approach: Fundamental particle properties (mass scales, charge coupling, and spin) arise as geometric invariants of holographic compression. The leptonic mass hierarchy (e, μ, τ) follows a scale-invariant power-law structure, implying the instability of a fourth lepton generation. Gravitational and electromagnetic dynamics emerge as distinct regimes of a single entropic force law, F = αΓT∇S. The Schrödinger equation is recovered as the isoentropic (quasi-unitary) limit of an underlying informational fluid dynamics on the cosmological horizon. Galactic rotation curves are reproduced without invoking particulate dark matter, consistent with entropic gravity phenomenology. Crucially, the framework makes a new falsifiable prediction: a Universal Critical Mass for Quantum Coherence, Mc 5. 29 10^-16 kg with intrinsic coherence time τc ≈ 2. 18 s, above which quantum superpositions become intrinsically unstable due to holographic information saturation. This prediction provides a concrete experimental target for next-generation optomechanics and matter-wave interferometry (MAQRO-class experiments). Note: An earlier formulation using Mc ≈ MP · Ω⁻⁴ ≈ 1. 16 × 10⁻¹⁶ kg appears in preliminary versions. The refined value (5. 29 × 10⁻¹⁶ kg) derives from 8-dimensional phase space geometry with gravitationally calibrated coherence time. Rather than claiming exact derivations, all relations are treated as geometric consistency conditions imposed by the Ω-postulate. Once Ω is calibrated using the electron mass, the framework tests whether independent observables—such as the fine-structure constant, lepton mass ratios, and mesoscopic quantum coherence limits—follow consistently. The complete program consists of 43 interlinked manuscripts and 42 independently validated numerical simulations, forming a unified phenomenological proposal at the intersection of quantum foundations, gravity, and cosmology.