On Quantum Gravity If Non-Locality Is Fundamental

TL;DR

This paper proposes a novel quantum gravity framework where spacetime emerges from non-local entangled quantum variables, with matter playing a crucial role in spacetime creation, challenging traditional local theories like General Relativity.

Contribution

It introduces a new model where matter creates spacetime through quantum entanglement and decoherence, emphasizing non-locality as fundamental and providing a mechanism for emergent spacetime.

Findings

Spacetime emerges from entangled quantum variables.

Discrete spacetime relations are based on actualization events.

The theory predicts a UV cutoff and potential observable effects in gamma ray spectra.

Abstract

I take non-locality to be the Michaelson Morley experiment of the 21st Century, assume its universal validity, and try to derive its consequences. Spacetime, with its locality, cannot be fundamental, but emergent from entangled coherent quantum variables and their behaviors. Two consequences: i. If we start with non-locality, we need not explain non-locality. We must explain an emergence of locality and spacetime. ii. There can be no emergence of spacetime without matter. This contradicts General Relativity, which is local, formulatable without matter and without an emergence of spacetime. Quantum gravity cannot be a minor alteration of General Relativity. This will lead to: Matter not only deforms spacetime, but creates spacetime. This quantum creation of spacetime consists in: i. Fully non-local entangled coherent quantum variables. ii. The onset of locality via decoherence. iii. A metric in Hilbert Space among entangled quantum variables. iv. Mapping from metric distances in Hilbert Space to metric distances in classical spacetime by episodic actualization events. v. Discrete spacetime is the relations among these discrete actualization events. vi. "Now" is the shared moment of actualization of one among the entangled variables. vii. The discrete, successive, episodic, irreversible actualization events constitute a quantum arrow of time. viii. The arrow of time history of these events is recorded in the very structure of the spacetime constructed. ix. Actual Time is a succession of two or more actual events. Relation to Causal Set Theory, faithful Lorentzian manifolds and light cones are discussed. The theory inevitably yields a UV cut off. The cut off is a phase transition between continuous spacetime before the transition and discontinuous spacetime beyond the phase transition. This may predict the knee and ankle of the gamma ray spectrum. Testing via the Casimir effect is proposed.