Emergence of ER=EPR from non-local gravitational energy

TL;DR

This paper demonstrates that entangled particles can source Einstein-Rosen bridges through non-local gravitational effects, providing a regular spacetime realization of ER=EPR without exotic matter.

Contribution

It constructs wormhole geometries supported by non-local gravitational energy, linking entanglement with spacetime geometry in a regular, non-traversable framework.

Findings

Only the zero-throat geometry supports ER=EPR with entanglement.

Quantum gravity effects replace exotic matter in wormhole support.

The framework suggests links to dark energy and vacuum fluctuations.

Abstract

We construct a class of wormhole geometries supported by the non-local gravitational self-energy that regularizes the particle and black-hole sectors of spacetime. Using this framework, inspired by T-duality, we show that two entangled particles (or particle-black-hole pairs) naturally source an Einstein-Rosen-type geometry in which the required violation of the strong energy condition arises from intrinsic quantum-gravity effects rather than from ad hoc exotic matter, which is matter that violates the null energy condition. We classify the resulting wormholes, analyze their horizons, throat structure and embedding properties, and we identify the exotic energy needed at the minimal surface. Imposing the ER=EPR requirement of non-traversability and the absence of a macroscopic throat, we find that only the zero-throat geometry is compatible with an entanglement-induced Einstein-Rosen bridge, providing a concrete realization of ER=EPR within a fully regular spacetime. Finally, we briefly discuss possible implications for microscopic ER networks from vacuum fluctuations, replica-wormhole interpretations of Hawking radiation, and possible links to entanglement-driven dark-energy scenarios.