Information Processing Rate Conservation as the Origin of Relativistic Time Dilation

This manuscript proposes the Information Processing Rate Conservation (IPRC) principle as the mechanistic origin of relativistic time dilation, deriving the Lorentz factor via a two-state quantum walk model. It recovers the (1+1)-dimensional Dirac equation, validates results with numerical simulations (relative error < 0.5%), and proposes a cold-atom quantum walk experiment for verification. All numerical data and Python code are included in this upload for reproducibility. A preprint version is under review on arXiv.