Informational Throughput Framework: Capacity Conservation, Quantum Structure, and Entanglement from Rate-Based Time Dilation

This work introduces a rate-based physical framework originating from a time-dilation model defined by a local parameter k describing measurable clock-rate differences without assuming Riemannian geometry or tensor calculus. The framework introduces informational throughput χ as the physical evolution rate and derives a conservation law χ² + L = directly from the strong-field completion of the throughput relation. Informational demand is defined as: κ = ρ_E V A₀ / (ħc) Throughput field: Weak-field regime: χ(r) = − κ/r Strong-field completion: χ(r) = √(1 − 2κ/r) From the strong-field relation, informational load emerges algebraically: L = 2κ/r yielding the conservation structure: χ² + L = 1. Identifying χ ≡ k, gravitational time dilation is interpreted as reduction of available informational update capacity. From this conserved rate structure arise normalization, Hilbert-space geometry, quantum phase evolution, and entanglement as consequences of finite informational capacity rather than independent quantum postulates. The framework reproduces gravitational interferometry results through proper-time accumulation governed by k, establishing an operational bridge between measurable clock-rate differences and quantum phase evolution.