The Poole Manifold: A 3D Prime-Resonance Cellular Automaton Exhibiting Universal Computation, Immortal Memory, and Self-Healing Logic

The Poole Manifold is a three-dimensional totalistic cellular automaton defined on a
cubic lattice with Moore neighborhood. It is governed by the B5–7/S5–9 rule together
with a prime-resonance sharpening mechanism. From this minimal rule set there emerge
three principal capabilities: universal computation realised through full adders, multi-bit
registers, an 8-bit parallel ALU, and an opcode multiplexer; immortal memory in the form
of topologically protected latches that remain stable under noise; and self-healing logic that
repairs damaged waveguides using incoming kinetic mass. The same local rules also generate
an expanding lattice with a sustained succession flux Φ ≈ 0.3095 and yield an emergent
discrete gravity model (OTG) that provides a better fit to DESI BAO data than standard
ΛCDM.
All results were obtained from GPU-based simulations. The Poole Manifold therefore
constitutes a minimal discrete substrate capable of supporting robust computation, persistent memory, self-repair, and emergent cosmological behaviour.