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Topological Objective Collapse: Resolving the Measurement Problem via Macroscopic Gravitational Anchoring in QGEFT

Yaniv Cohen

Published May 15, 2026• 0 citations
Publisher

Abstract

In the current `N=1024`, `T=0.3` QGEFT benchmark, a lightweight one-edge defect diffuses across a finite topological probability cloud before detector activation, reaching support `8`, mean radius `≈ 3.875`, and spatial variance `≈ 2.0`. Once a macroscopic detector node is activated at sweep `16` and driven to degree `72`, the defect is funneled into the detector basin and undergoes an objective anchoring event at sweep `26`. The recent positional cloud then collapses irreversibly to support `1` and variance `0.0`, supporting a structural, observer-free objective-collapse mechanism in the emergent graph vacuum.

DOI
10.5281/zenodo.20208677

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In the current N=1024, T=0.3 QGEFT benchmark, a lightweight one-edge defect diffuses across a finite topological probability cloud before detector activation, reaching support 8, mean radius ≈ 3.875, and spatial variance ≈ 2.0. Once a macroscopic detector node is activated at sweep 16 and driven to degree 72, the defect is funneled into the detector basin and undergoes an objective anchoring event at sweep 26. The recent positional cloud then collapses irreversibly to support 1 and variance 0.0, supporting a structural, observer-free objective-collapse mechanism in the emergent graph vacuum.
The measurement problem and the subsequent collapse of the wave function remain the most philosophically contentious aspects of the Copenhagen interpretation of quantum mechanics, notoriously requiring an active, conscious observer to define reality. We propose a deterministic, fluid-dynamic resolution derived from the Null-Vector Gravity (NVG) framework, wherein the quantum vacuum is treated not as empty space, but as a macroscopic, non-perturbative Quantum Chromodynamics (QCD) condensate. In this model, an elementary particle such as an electron is not a point-mass governed by abstract probability amplitudes, but a stable topological defect—a localized displacement within the vacuum conformal structure. Prior to interaction, this defect propagates as a spatially extended solitary wave. We demonstrate mathematically that what is conventionally termed wave function collapse is the onset of a purely deterministic topological reconnection event. When the extended wave envelope encounters a macroscopic density gradient (e.g., the lattice of a detector screen), the vacuum displacement vectors undergo rapid non-linear contraction, snapping the delocalized energy back into a localized, point-like topological knot. This fluid-dynamic mechanism entirely eliminates the need for wave-particle duality and the observer effect, restoring objective realism to quantum mechanics while fully preserving the empirical interference patterns predicted by the Schrödinger equation.
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The "Measurement Problem" implies a contradiction between the unitary evolution of quantum states and the definite nature of observed reality. Current objective collapse models lack a precise physical trigger. This paper presents a unified field equation where wave function collapse is a deterministic result of the interaction between the quantum state and a fundamental background geometry: The Asymmetry Tensor (Aμν\mathcal{A}_{\mu\nu}Aμν​). We introduce the concept of Effective Interaction Mass (MeffM_{eff}Meff​) to resolve the Electron Diffraction Paradox, demonstrating that collapse is driven by the difference in stress-energy between superposed states. We verify this framework against known experimental limits, showing that while single electrons sustain coherence, macroscopic objects collapse instantly due to the Fundamental Asymmetry constant αinit≈0.005\alpha_{init} \approx 0.005αinit​≈0.005.
The black-hole information paradox is usually formulated as a conflict between two semiclassical statements: Hawking evaporation appears to radiate away mass in a nearly thermal manner, while unitary quantum dynamics forbids the destruction of information. In this paper we construct a macroscopic black-hole surrogate inside the discrete, background-free Quantum Graph Emergent Field Theory (QGEFT) and track both horizon-entanglement proxies and the topological fate of explicitly injected information. Starting from a thermalized Unified Phase 3 universe with N = 1024 sites, we force a localized geometric collapse by driving one node to target degree k = 160, then inject a structured quark-like defect whose internal edges are tracked exactly through 100 subsequent Monte Carlo sweeps. The key observable is a horizon cut-size proxy: the number of edges crossing between the black-hole region and the exterior vacuum, together with a normalized entanglement proxy built from that cut. In the present benchmark the horizon cut-size rises from 1027 to a peak of 1030 edges at sweep 1, while the normalized cut-based entanglement proxy rises from 2.7483 to 2.7563, then trends downward with fluctuations to 2.5941 by sweep 100 as the black-hole core shrinks from degree 161 to 132. At the same time, direct tracking of the infalling quark reveals incomplete local reconstruction: only 25% of the tracked edges appear outside the horizon as distinct edges at any given sampled frame, and the best structural-overlap score reaches only 0.3946. The narrow conclusion supported by the current data is therefore mixed. The black hole exhibits a real topological evaporation channel and a measurable Page-like turnover in the horizon entanglement proxy, but local observables remain Hawking-leaning and do not by themselves recover the full infalling structure. In the QGEFT interpretation, this is evidence for fast scrambling rather than literal information destruction: the information is not recovered as a small intact motif, but is dispersed into the global topological microstate of the graph.
The current Paper 71 benchmark does not claim that a full quantum optics laboratory or complete quantum information theory has been derived from first principles inside QGEFT. It does show that the QGEFT vacuum supports a concrete, reproducible topological teleportation channel via the ER=EPR mechanism. The `diamond` motif provides the critical "Goldilocks" balance between rarity (0 background at target) and fragility (collapses at sweep 5 under measurement stress). In both T=0.25 and T=0.35 benchmarks, the Metropolis engine deterministically routes the geometric information through the wormhole: the source motif at A collapses at sweep 5 (ΔEA=15.206→13.571\Delta E_A = 15.206 \to 13.571ΔEA​=15.206→13.571), and exactly one sweep later, the identical diamond motif reconstructs at remote target C. The No-Cloning Theorem emerges automatically as a thermodynamic constraint—maintaining two copies is energetically disfavored.