Discrete Celestial Holography: Deriving Asymptotic Symmetries from a Geometric Instruction Set

Discrete Celestial Holography proposes a bottom-up framework for holography in asymptotically flat spacetimes, grounded in a discrete, update-based description of spacetime. Rather than assuming infinite-dimensional asymptotic symmetries as fundamental, the paper treats Bondi–van der Burg–Metzner–Sachs (BMS) symmetries as emergent statistical invariants of a discrete boundary. Using a dynamic graph model governed by a phenomenological geometric instruction set, the framework recovers unitary wave mechanics and holographic behavior in the continuum limit while predicting a finite, complexity-induced truncation of asymptotic symmetries. This truncation arises from computational bounds on boundary information processing. It is estimated to occur at the scale of hundreds of logical qubits, with the precise value depending on model connectivity. The paper presents falsifiable predictions, including emergent Lorentz symmetry with high-energy deviations and a symmetry cutoff distinguishable from those of Causal Set Theory and Loop Quantum Gravity. This is intended as a speculative but testable contribution to quantum gravity, celestial holography, and information-theoretic approaches to spacetime.