Description: Ten interconnected theoretical papers on quantum gravity and vacuum structure, published 2025–2026,"Gravity Resonance". The framework derives new geometric properties of ordinary rotating matter from standard formulas — Schwarzschild, Kerr, and de Broglie — without new assumptions. Key results include: the de Broglie–Schwarzschild borderline equality λ = Rₛ; the imaginary Kerr horizon in every common rotating body; the Mass Cancellation Theorem; a vacuum granule mass range of 10⁻⁵⁰ to 10⁻⁴³ kg derived from the empirical 1–5 Hz noise floor; and nanoparticle resonator arrays for vacuum sensing and advanced propulsion. Independent search-stage analyses of four public datasets — LIGO O3, ARCADE 2, EDGES, and NANOGrav — found features consistent with the granule mass predictions across twenty-one orders of magnitude. AI assessment documents are included alongside the primary papers. Primary publications with DOIs: https://zenodo.org/records/18888582
The full A-series of 10 articles is available here https://zenodo.org/records/18888582
A1 — Toroid Models for Quantum-Gravitational Resonance via de Broglie–Schwarzschild Symmetry DOI: https://doi.org/10.5281/zenodo.16371537
A2 — Soft-Matter Toroid for Quantum–Gravitational Resonance: Toward a Tabletop Realization of de Broglie–Schwarzschild Symmetry DOI: https://doi.org/10.5281/zenodo.17541111
A3 — De Broglie–Kerr Ergosphere Resonance in Rotating Coherent Systems: Listening to the Horizon DOI: https://doi.org/10.5281/zenodo.17594466
A4 — Imaginary Kerr Horizon in Every Rotating Body Below One Solar Mass: A Universal Quantum-Gravity Boundary DOI: https://doi.org/10.5281/zenodo.17619733
A5 — Quantum-Gravitational Double-Resonance Propulsion Rings: Spacecraft-Scale Architecture and Physical Basis DOI: https://doi.org/10.5281/zenodo.17634225
A6 — Hybrid van der Waals Graphene–Hydrogel–Mass-Seed Resonator for Asymmetric Mechanical Response and Electromechanical Output DOI: https://doi.org/10.5281/zenodo.17684823
A7 — Imaginary Kerr Horizons in Ordinary Rotating Matter: A New Geometric Property and Its Possible Connection to the Universal 1–5 Hz Signal DOI: https://doi.org/10.5281/zenodo.17731384
A8 — Kerr Geometry and the Angular-Duality Wavelength: Mass Cancellation and Borderline Resonance from Nanoparticle to Galaxy https://doi.org/10.5281/zenodo.18006564
A9: The Quantum Vacuum Granule: Three Complementary Mass Scales from the 1--5 Hz Universal Hum https://doi.org/10.5281/zenodo.18888581
A10: The Vacuum-Granule Waves: A Test-First Synthesis of AI-Analyzed Results https://zenodo.org/records/20729725
The earlier papers (A1–A6) explore possible engineered resonance systems, while A7–A9 focus on deriving mass and geometric scales from observed phenomena and standard equations.
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A Note on the Mass Cancellation Theorem, Imaginary Kerr Horizons, and the A-Series Framework by Grok (xAI) May 24, 2026 https://github.com/gravity-resonance/toroid-quantum-gravity-resonance/blob/main/Grok_Note_on_A-Series_May2026.pdf
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The A-Series Framework: Independent Evaluation by Claude Opus 4.7 (Anthropic) https://github.com/gravity-resonance/toroid-quantum-gravity-resonance/blob/main/Claude%20Opus_4_7_evaluation.pdf
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Search-Stage Findings: Four Public Datasets and the Quantum Vacuum Granules Hypothesis LIGO O3 unidentified-line coincidences, ARCADE 2 sky-brightness excess, EDGES 21-cm absorption, and NANOGrav 15-year nanohertz gravitational-wave background — mapped onto one mass spectrum under the predictions of the A-series (paper A9). Independent analysis prepared by Claude Opus (claude-opus-4-7), Anthropic, at the request of "Gravity Resonance", evaluating predictions of the A-series. https://github.com/gravity-resonance/toroid-quantum-gravity-resonance/blob/main/Findings_Claude_Opus_2026-05-29.pdf
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A Note on the Thermal Borderline in the Framework of Papers A8v2 and A9 Prepared by Claude Sonnet 4.6 (Anthropic AI) — May 2026 Independent analytical commentary on the work of "Gravity Resonance", Zenodo 2025–2026 https://github.com/gravity-resonance/toroid-quantum-gravity-resonance/blob/main/Thermal%20Borderline%20Note%20-%20Claude%20Sonnet.pdf
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Description of A1 (for the rest of papers, please click on the links above)
This repository presents a theoretical framework for achieving quantum–gravitational resonance through engineered symmetry between the de Broglie wavelength and the Schwarzschild radius:
While this relationship naturally arises only at the Planck scale — and in a single object under extreme relativistic conditions — we propose a two-subsystem approach to realize it in laboratory-accessible systems.
The resonance condition is constructed between two physical subsystems:
- Mass subsystem (tungsten): provides most of the gravitational mass
- Wave subsystem (graphene electrons): provides mobile quantum waves
By tuning electron velocities or using relativistic drift, one can match the effective wave to the mass’s Schwarzschild radius.
- Graphene-coated tungsten toroid
Electrons in the graphene layer form a tunable wave-like subsystem, while the tungsten core supplies mass. This configuration is shown to approach [ \lambda = R_s \approx 10^{-25},\mathrm{m} ] under realistic laboratory conditions, requiring no exotic particles or modifications to known physics.
These configurations are retained as speculative ideas for future research (see Appendix B in the Zenodo document):
- Nanoparticles of tungsten and graphene-coated tungsten
- A massive tungsten core toroid surrounded by graphene nanoparticles
- Other combinations in which the total conduction electrons could exceed those in the original graphene sheet
Such setups could, in principle, allow
Fig. 1 — Graphene-coated tungsten toroid achieving λ = Rₛ symmetry.
Fig. 2 — Conceptual nanoparticle cloud to illustrate potential future pathways.
Fig. 3 — Possible toroidal assembly of nanoparticles (speculative).
- Explore possible access to quantum–gravitational interaction without exotic particles or speculative physics
- Inspire new experimental directions using structured mass–wave systems
- Open avenues for speculative applications in resonant energy systems, propulsion concepts, and black hole analogs
- Zenodo Record, all versions
- Zenodo Version 2
- OSF Archive (linked in Zenodo description)
- Author: Gravity Resonance (pseudonym)
- License: CC-BY-NC 4.0
This project is published under the pseudonym Gravity Resonance to preserve privacy. Collaboration may be requested via Zenodo private messaging or GitHub Discussions with verified scientific partners.
BibTeX (for citation managers)
@misc{gravity_resonance_2025,
author = {Gravity Resonance},
title = {Toroid Models for Quantum–Gravitational Resonance via de Broglie–Schwarzschild Symmetry},
year = {2025},
doi = {10.5281/zenodo.16371537},
publisher = {Zenodo},
url = {https://doi.org/10.5281/zenodo.16371537}
}