Direct Derivation of Time Dilation from Ze Counters

Special relativity postulates time dilation as a consequence of the Lorentz transformation derived from the light postulate and the principle of relativity. This paper presents a fundamentally different approach. I introduce the Ze counter framework, in which time is not a background coordinate but a countable quantity: proper time τ is defined as the total number of effective sequential state updates performed by a system. Motion, in this framework, corresponds to the allocation of finite update resources to parallel (spatial) processing rather than sequential (temporal) evolution. Using only discrete counting rules, I define velocity as the ratio of accumulated parallel update squares to sequential update…