SDRIS: The Geometric Origin of Special Relativity – Recovering the Speed of Light, Time Dilation, and E=mc² from Unitary Graph Dynamics (Series: Paper 104)

Special Relativity is conventionally understood as a geometric property of a continuous spacetime manifold. In this paper, we recover its fundamental laws—the causal speed limit ($c$), time dilation, and the energy-momentum relation—strictly from the information-theoretic axioms of the Static-Dynamic Recursive Information Space (SDRIS). Instead of postulating $c$, we derive it as the Lieb-Robinson Bound of the discrete vacuum graph, representing the maximum propagation velocity of causal influence in a local network. We demonstrate that Time Dilation is not a geometric axiom but a consequence of Unitarity: The conservation of probability density forces a trade-off between spatial translation and internal state…