The Quantization of Bias: Deriving the Standard Model from the Error-Correcting Codes of a Low-Rank Universe

Current attempts to unify physics often rely on heuristic analogies. We present Projective Spectral Dynamics (PSD), a rigorous framework deriving physical laws from Information Theory without presupposing Lagrangians. Building on the "It from Bit" paradigm, we demonstrate: (1) The Klein-Gordon equation is the Euler-Lagrange extremum of Fisher Information under bandwidth constraints; (2) Inertial mass is the thermodynamic cost of maintaining information fidelity against a "Complexity Field" (analogous to the Higgs mechanism); (3) Spin and Charge emerge as cyclic update phases and parity bits of the underlying data structure; (4) The Pauli Exclusion Principle is strictly derived as a "Hash Collision Resolution Protocol" (Open Addressing) for Fermionic data types. Finally, we propose that Quarks are Erasure Coding Shards, resolving Confinement as a Transaction Atomicity constraint. We provide a simulation kernel in the appendix to verify these mechanisms numerically.