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ZENODO
Preprint . 2025
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2025
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2025
License: CC BY
Data sources: Datacite
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Θ Framework — Topological Quantification via Golden Ratio φⁿ: Mathematical Foundations and Falsifiable Predictions

Authors: BERTRAND, Miguel;

Θ Framework — Topological Quantification via Golden Ratio φⁿ: Mathematical Foundations and Falsifiable Predictions

Abstract

This preprint introduces the Θ Framework, a topological quantification theory proposing that physical reality emerges from spiral geometry based on powers of the golden ratio φⁿ. **Key results:**- Syntony Constant C_Θ = 52.8 validated across 13 Standard Model particles with 99.9% precision- H₂O frequency prediction converges within 0.021% of independent QED calculations- Galactic plateau velocity v_plat = c/φ¹⁵ ≈ 220 km/s matches Milky Way observations- Combined probability of chance: P < 10⁻²³ **Critical falsifiable prediction:**Heavy water coherence frequency f(D₂O) = 101.4 ± 5 Hz (vs 386 Hz classical model, vs 477 Hz QED model). Experimental validation expected within 3-6 months via Raman spectroscopy. The framework achieves 96% reduction in free parameters compared to Standard Model + ΛCDM while unifying phenomena across 38 orders of magnitude. **Document includes:**- Theorem of Founding Absence- Three fundamental mathematical theorems (Spirality, S³ Compactification, Syntony Conservation)- Complete refutation of four major objections- Detailed experimental protocol for D₂O test **Contact:** mig.ber@hotmail.com

Keywords

theoretical physics, mass hierarchy, spiral geometry, dark matter elimination, topological quantification, dark energy alternative, cosmological constant problem, Raman spectroscopy, SU(2) topology, water coherence frequency, Cyclin D2, beyond Standard Model, particle physics, galactic rotation curves, dark energy, D2O, golden ratio, falsifiable predictions, modified gravity, dark matter alternative

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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