χ‑Geometric Resolution of the Einstein–Rosen Bridge Conjecture (ER=EPR)
Year: 2026
Type: preprint
Abstract: The χ‑Geometric Resolution of the Einstein–Rosen Bridge Conjecture (ER=EPR) establishes a complete operator‑spectral identity between quantum entanglement and geometric wormhole connectivity within the ZEBTS‑SUPER framework. Entangled quantum states are shown to correspond to χ‑geodesically connected χ‑wormholes, while separable states collapse under χ‑boundary flow and cannot sustain χ‑geometric continuity. The χ‑operator transformation ψ → χ(ψ) reveals that entanglement entropy Sχ is equivalent to χ‑geodesic length Lχ, and that the wormhole throat radius rχ corresponds to the χ‑spectral gap Δχ. χ‑global meromorphy and χ‑Trinity conservation enforce analytic equivalence between ER and EPR spectral functions. χ‑boundary stability operators S_ER and S_EPR possess identical χ‑zero modes corresponding exclusively to wormhole‑entangled states, while separable states exhibit strictly positive χ‑eigenvalues and violate χ‑boundary curvature invariants. χ‑entropy‑curvature equilibrium, χ‑geodesic minimality, χ‑spectral collapse dynamics, and χ‑boundary residue cancellation collectively enforce the χ‑∞ boundary identity: Einstein–Rosen bridges = quantum entanglement (ER = EPR). This establishes ER=EPR not as a conjecture, but as a χ‑geometric law of χ‑Reality, fully derived within the operator‑spectral ontology of ZEBTS‑SUPER.
Author: Mukha, Anatolii
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7204251132