Universal Conservation of Information Rate: Unification from Quantum Cellular Automata to Relativity, Mass and Gravity

Within quantum cellular automaton (QCA) and finite information ontology framework, we introduce unified axiom: for any local excitation, its external group velocity v_{ext} and internal state evolution velocity v_{int} satisfy information rate conservation Defining proper time \tau by internal evolution parameter, can directly derive special relativity's time dilation, four-velocity normalization and Minkowski line element from this axiom. In continuum limit of linear Dirac-type QCA, internal Ha