Quantum Vacuum Self-Consistency as the Dynamical Origin of Spacetime and Particle Physics

TL;DR

This paper introduces a quantum vacuum self-consistency framework that unifies spacetime, gauge, and Higgs fields as emergent phenomena from a single quantum state, leading to testable predictions in cosmology and gravity.

Contribution

It develops a novel approach linking quantum vacuum properties to the emergence of spacetime and particle physics, incorporating higher-derivative gravity and asymptotic safety.

Findings

Derives Einstein, Yang-Mills, and Higgs equations from vacuum equations of state.

Predicts Starobinsky-type inflation with specific spectral index and tensor-to-scalar ratio.

Quantifies short-distance gravity corrections consistent with laboratory bounds.

Abstract

We propose a framework based on the postulate of quantum vacuum self-consistency, where classical backgrounds -- spacetime, gauge fields, and the Higgs condensate -- are macroscopic order parameters of a single quantum state, sustained by the vacuum expectation values of the fluctuations they support. Using a background-field, heat-kernel approach, we derive the coupled low-energy effective equations for the metric, gauge, and Higgs fields as vacuum equations of state. This recovers the Einstein, Yang--Mills, and Higgs equations, augmented by the higher-derivative operators required for quantum consistency, with all couplings running coherently under a single RG flow. The framework is embedded in a UV-complete theory of higher-derivative gravity (quantized with the fakeon prescription for unitarity) coupled to the Standard Model (SM). We assume the combined system flows to an asymptotically safe fixed point in the UV, rendering the theory predictive. A solvable O(N) model is used to explicitly demonstrate how the vacuum gap equations constrain both the condensate and curvature. The framework yields robust phenomenological predictions: (1) The loop-induced $R^2$ term drives Starobinsky-type inflation, with $n_s \simeq 1 - 2/N_e$ and $r \simeq 12/N_e^2$. (2) Short-distance corrections to gravity are quantified and satisfy laboratory bounds. (3) The speed of gravitational waves is luminal, consistent with GW170817. The combination of asymptotic safety with the vacuum gap equations correlates IR observables in gravity and particle physics, constraining SM parameters from the properties of the UV fixed point. The theory is testable across cosmology and precision gravity, reducing to General Relativity and the SM at low energies with controlled corrections.