Octonionic Pixel Theory: Unification of Gravity and Gauge Forces through Topological Frustration on Discrete Networks

We present the Octonionic Pixel Theory (OPT), a framework deriving spacetime, matter, and fundamental forces from a discrete network of entities carrying octonionic phases. The theory achieves: (1) emergence of 3+1 dimensional spacetime, (2) Einstein field equations via Regge calculus, (3) the gauge structure U(1) × SU(2) × SU(3) from octonionic algebra, (4) exactly three fermion generations from 3D knot topology, (5) all nine charged fermion masses from the Planck mass with ~2.2% average error using zero free parameters, (6) observers as self-referential patterns within frustration with rigorous mathematical definition, and (7) the observable universe as one causally disconnected frustration domain among potentially many. We extend the framework to neutrino masses with a derived formula achieving ~1.8% error on squared mass differences. The theory makes specific, falsifiable predictions testable within the next decade.