Entropically Bounded Worldlines from a Discrete Capacity Substrate

This preprint presents the Entropically Bounded Worldlines (EBW) principle, a global constraint arising from finite information capacity and causal transport in a discrete substrate. Within the Space Register Metric–Planck Pixel Asymmetry (SRM–PPA) framework, any causal chain of updates is shown to be bounded by the capacity of the discrete surface it intersects. Entropy–area relations, holographic scaling, and horizon thermodynamics emerge as bookkeeping consequences of capacity conservation rather than as assumptions of quantum field theory or continuum geometry. The framework reproduces the Bekenstein–Hawking relation and de Sitter horizon behavior without invoking fundamental spacetime or gravitational dynamics. Numerical evidence supporting EBW saturation in discrete radial shell models is briefly indicated and deferred to a forthcoming addendum.