Quantum Gravity from Vacuum Recursion: An Emergent Theory of Gravity with Derived Constants and Observable Predictions

Quantum Gravity from Vacuum Recursion presents a finite, non-perturbative approach to quantum gravity derived from discrete vacuum recursion rather than spacetime quantization or renormalized quantum fields. The work is based on principles developed in Recursive Vacuum Theory (RVT), but presents a distinct and self-contained formulation focused specifically on quantum gravity, derived physical constants, and observable predictions.

In this formulation, gravitational structure, emergent time, and particle-scale constants arise from a hierarchy of discrete vacuum states generated by recursive scaling relations involving the transcendental constants π\piπ, φ\varphiφ, and eee. Time is treated as an emergent ordering operator (φ\varphiφ-time), producing non-uniform temporal intervals and resolving divergences without renormalization.

Key results and contributions

• A first-principles derivation of the fine-structure constant with no fitted parameters (agreement at 99.996%).

• A discrete vacuum shell structure around compact objects, yielding bounded curvature and eliminating singularities.

• An emergent, non-quantized description of gravity that recovers classical limits without modification.

• A geometric interpretation of neutrino oscillations and decoherence as shell-boundary effects.

• Concrete, testable predictions relevant to radio astronomy, pulsar timing, and vacuum-frequency detection experiments.

• Clarification and resolution of common objections (e.g. the “neutrino star” problem) through finite shell localization.

Reproducibility and validation

This record includes all numerical validation scripts and computational tests used in the paper, provided in the accompanying archive. These scripts reproduce constant derivations, convergence behavior of recursive series, vacuum shell scaling, neutrino-related geometric constraints, and all numerical results reported in the manuscript. No proprietary software or hidden assumptions are required; all computations are transparent and reproducible.

Scope and intent

This paper serves as a focused synthesis within a broader research programme on finite, recursive foundations of physics. It does not claim finality, but it does present a complete, internally consistent alternative to renormalized quantum field approaches to gravity that is explicitly open to independent verification and falsification.

The framework is offered in the spirit of open scientific scrutiny, with all supporting materials made available to facilitate replication, critique, and extension.

For Further Information about the ENSO Framework, please contact Eric Needham:ensotheory1@gmail.com