Resolutionism: Quantum Gravity at Finite Resolution

Abstract

We prove that any causal diamond whose Hilbert-space dimension saturates the covariant entropy bound to O(log A) and whose boundary code carries asymptotically exact continuous global symmetries necessarily exhibits (i) emergent classical spacetime obeying the Einstein equations, (ii) universal gauging of all boundary global symmetries, (iii) dark energy with effective equation of state w ≈ –1 arising from the entropic force of the growing horizon, and (iv) objective collapse of macroscopic superpositions at mass ∼10⁻¹⁴ kg with zero local heating. Ten further theorems enforce the observed Standard Model spectrum of electroweak breaking and fermion masses up to O(1) numerical code prefactors. Ten parameter-free, falsifiable predictions follow, six of which are laboratory-testable by 2045.

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