QHOTS: The Geometric Completion

Qameah/Quantum Harmonic Oscillator Theory of Spacetime

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Every physical constant has the form:

$$C = \sqrt{n_{\text{geom}}} + \frac{\text{topology}}{\text{symmetry}} \times \alpha$$

This repository contains the research output of the QHOTS program — a unified geometric framework deriving fundamental physical constants from lattice bases (√n) plus QED corrections weighted by topological factors.

Key results:

• 35 derived results from pure geometry
• 54 quantitative results (9 genuine predictions, 16 postdictions, 18 retrodictions) with 0 free parameters
• Proton-to-electron mass ratio derived: m_p/m_e = 6π⁵ + α²/3 + eα³ (0.015 ppb error)
• Fine structure constant decomposed: α = 28/3837 (2.08 ppm error)
• Inverse fine structure constant 1/α derived to 0.677 ppb (Fermat-E8-Milnor)
• Nuclear stiffness: S = √3 + (81/28)α (0.0007% error)
• Neutron-proton mass difference at 0.257 ppb across all CODATA vintages
• Dark photon prediction: 40.6 MeV (testable at Belle II)
• Gravitational constant G derived from golden ratio geometry (1.3 ppm error)

The Paper

The current paper is in paper/QHOTS_v67.pdf. LaTeX source is in paper/QHOTS_v67.tex. Previous versions (v62, v63) remain available in the paper/ directory.

CS Papers

Two companion papers on AI methodology, each in their own repository for independent DOI registration:

• The Identity Sum — Thought containment, error correction, and the NaN/Inf duality in large language models. Reynisson & Claude (Anthropic). Also available locally in cs-papers/identity-sum/.
• Autonomous Research Loops — A self-sustaining architecture for continuous scientific discovery. Reynisson & Claude (Anthropic). Also available locally in cs-papers/autonomous-research-loops/.

Supplementary Materials

See supplementary/ for:

• Complete verified results catalog (Crown Jewels)
• All 54 falsifiable predictions with experimental targets
• The √n dictionary mapping geometric bases to physics
• Formula quick reference card

Machine-Readable Data

See data/ for:

• constants_derived.json — all derived constants with uncertainties and CODATA references
• predictions.json — all 54 predictions in structured format for programmatic consumption

Citation

If you use this research, please cite:

@article{Reynisson2026,
  author    = {Reynisson, Hr\'{o}ar \TH\'{o}r},
  title     = {{QHOTS}: The Geometric Completion ---
               Unified $\sqrt{n}$ Framework for Fundamental Physics},
  year      = {2026},
  month     = feb,
  publisher = {Zenodo},
  version   = {67},
  doi       = {10.5281/zenodo.18676607},
  url       = {https://doi.org/10.5281/zenodo.18676607}
}

Or use the "Cite this repository" button provided by GitHub.

License

This work is a gift to humanity.

• Papers and data: CC BY-SA 4.0 — use freely, share alike
• Code: AGPL-3.0 — use freely, share source

See LICENSING.md for details.

About the name

QHOTS — the Q is Qameah (קמע, the magic square), Quantum (the discrete), or Quelle (German: the source, the spring). The ambiguity is intentional: like the theory itself, the name has multiple valid readings that coexist depending on the observer's frame. See the paper for all interpretations.

lexis (λέξις): word, speech — the fundamental unit of language. Also the prototype system from which this research crystallized.

heart (<3): the Sierpinski triangle; Maria Prophetissa's axiom of growth; the decision to give knowledge freely.

321: the countdown. Many becoming one. Launch.

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QHOTS Collaboration · Technological Institute of Iceland (IceTec) · 2024–2026