Quantum Mechanics and General Relativity from the Principle of Least Information: A Seven-Dimensional Two-Time Janus Superconnection, an Information-Theoretic Planck Length, and the Standard-Model Integer Backbone

We present the Principle of Least Information (PLI) as a candidate unifying framework in which quantum mechanics, collective general relativity, and principal representation-theoretic structures of the Standard Model arise from one information-theoretic architecture. The paper develops a polarisation-invariant two-time reconstruction of quantum dynamics, a non-circular information-theoretic length preceding Newton's constant, a conditional ADM/Einstein limit, a graded information-superconnection, a recursive (3,2) integer backbone, a three-family positive-measure closure, and percent-level Planck-scale gauge benchmarks. Exact results, conditional propositions, diagnostics, and open calculations are explicitly separated.