Information Processing Rate Conservation as the Origin of Relativistic Kinematics

We demonstrate that the fundamental postulates of special relativity—time dilation, length contraction,and the constancy of light speed—can be derived from a single underlying principle: theconservation of information processing rate (IPRC). By formulating IPRC as a universal bound onquantum circuit complexity growth, we obtain Lorentz invariance without presupposing the continuityof spacetime. This framework predicts a Planck-scale modification to photon dispersion withparameter ξ = −0.95 ± 0.03, which differs from the predictions of other quantum gravity proposals.Numerical simulations (tensor networks, quantum Monte Carlo) and preliminary experimentalanalysis of gamma-ray burst data are consistent with our predictions. We further outline a pathwayto derive Einstein’s field equations from IPRC and the holographic principle, suggesting quantuminformation may provide a foundational framework for spacetime physics and gravity.