Information Processing by Scalar Fields of Numerical Relativity: A Spin 0 and SU(2) Gauge Theory of Quantum Gravity

The extraordinary success of numerical relativity in predicting gravitational wave signatures observed by LIGO and Virgo suggests that computational information processing may represent the fundamental layer of gravitational physics rather than merely approximating geometric spacetime. We propose that gravity emerges from address relabeling invariant computational patterns, with spacetime geometry serving as an emergent mathematical interpretation rather than the fundamental physical arena. Quantizing the computational scalar fields in numerical relativity through a  SU(2) gauge theory extension of the Standard Model creates the first systematically UV-complete approach to quantum gravity in four dimensions via asymptotic freedom. The resulting framework naturally completes the Standard Model's gauge structure, where gravitational information processing occurs through the same proven mechanisms that govern weak interactions. This technical conservatism enables radical unification: pre-geometric tensor squared terms in the fundamental Lagrangian source the emergent spacetime metric through quantum statistical mechanics, with massive h-field excitations providing natural dark matter candidates while collective modes of the same substrate can account for cosmic acceleration. The framework resolves the hierarchy problem by recognizing gravity as a quantum statistical mechanical effect that emerges from the same SU(2) gauge substrate, with both Einstein-Hilbert gravity and higher-order gravitational corrections arising as systematic terms in the effective action expansion.  This unification is further fulfilled as other fundamental forces and matter particles are also shown to emerge from the same h-field substrate as different collective phenomena, with their interactions automatically coupled by their shared h-fields, providing a new path to a unified field theory.