A Quantum-Geometric Bridge via Scalar Mediation: An Effective Field Theory Linking Quantum Operators and Curvature (The Scroggs Bridge Theory)
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2025
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| author | Scroggs |
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| contents | <p> </p> <p>Recommended Zenodo Description / Abstract</p> <p> </p> <p> </p> <p>This work introduces a scalar-mediated effective field theory that establishes a quantitative bridge between quantum field operators and spacetime curvature. The framework is based on a new mediator field X that couples simultaneously to quantum sources \mathcal{O}_q(x) and to curvature invariants, producing a non-local kernel that links quantum correlations to geometric response. In the weak-field limit, integration over the bridge field generates a non-local modification to the Einstein–Hilbert action and results in an effective metric perturbation of the form</p> <p>h_{\mu\nu}(x)=\int d^4y\,\mathcal{K}_{\mu\nu}(x,y)\,\langle \mathcal{O}_q(y)\rangle ,</p> <p>demonstrating an explicit map from quantum expectation values to geometric structure.</p> <p> </p> <p>The theory provides:</p> <p> </p> <ol> <li>a mechanism for reconstructing point-to-point “locations” in quantum fields via the bridge-field Green’s function,</li> <li>a method for tracking moving quantum wavepackets through their geometric imprints, and</li> <li>a correlation-based approach for localizing entanglement structure and emergent spatial relations.</li> </ol> <p> </p> <p> </p> <p>The resulting model—referred to as the Scroggs Bridge Theory—offers an experimentally testable pathway toward unifying quantum behavior with classical curvature without requiring quantization of the metric. The work outlines the derivation, mathematical structure, predicted signatures, and potential future tests suitable for interferometric, correlation-mapping, and scalar-field detection platforms.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17729343 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | A Quantum-Geometric Bridge via Scalar Mediation: An Effective Field Theory Linking Quantum Operators and Curvature (The Scroggs Bridge Theory) Scroggs Quantum gravity Effective field theory Emergent geometry Nonlocal kernels Scalar mediator fields Quantum-curvature coupling Spacetime reconstruction Entanglement structure Bridge field X Metric perturbations Scroggs bridge theory <p> </p> <p>Recommended Zenodo Description / Abstract</p> <p> </p> <p> </p> <p>This work introduces a scalar-mediated effective field theory that establishes a quantitative bridge between quantum field operators and spacetime curvature. The framework is based on a new mediator field X that couples simultaneously to quantum sources \mathcal{O}_q(x) and to curvature invariants, producing a non-local kernel that links quantum correlations to geometric response. In the weak-field limit, integration over the bridge field generates a non-local modification to the Einstein–Hilbert action and results in an effective metric perturbation of the form</p> <p>h_{\mu\nu}(x)=\int d^4y\,\mathcal{K}_{\mu\nu}(x,y)\,\langle \mathcal{O}_q(y)\rangle ,</p> <p>demonstrating an explicit map from quantum expectation values to geometric structure.</p> <p> </p> <p>The theory provides:</p> <p> </p> <ol> <li>a mechanism for reconstructing point-to-point “locations” in quantum fields via the bridge-field Green’s function,</li> <li>a method for tracking moving quantum wavepackets through their geometric imprints, and</li> <li>a correlation-based approach for localizing entanglement structure and emergent spatial relations.</li> </ol> <p> </p> <p> </p> <p>The resulting model—referred to as the Scroggs Bridge Theory—offers an experimentally testable pathway toward unifying quantum behavior with classical curvature without requiring quantization of the metric. The work outlines the derivation, mathematical structure, predicted signatures, and potential future tests suitable for interferometric, correlation-mapping, and scalar-field detection platforms.</p> |
| title | A Quantum-Geometric Bridge via Scalar Mediation: An Effective Field Theory Linking Quantum Operators and Curvature (The Scroggs Bridge Theory) |
| topic | Quantum gravity Effective field theory Emergent geometry Nonlocal kernels Scalar mediator fields Quantum-curvature coupling Spacetime reconstruction Entanglement structure Bridge field X Metric perturbations Scroggs bridge theory |
| url | https://doi.org/10.5281/zenodo.17729343 |