The Universal Constant ΩT = 13,1

We rigorously define the universal log-periodic constant ΩT =13,1±0,5 rad · ln−1, called the Taburet constant. This constant setsthe universal spacing of oscillations cos ΩlnX + ϕ across a widerange of cosmological and gravitational observables whenever theyare governed by a discrete scale invariance. It emerges in TD3Rfrom a minimal tri-phasic closure: three identical scale steps (ratioλ ≃ 1,174) close the global cycle with a factorΛ = λ3 ≃ 1,618.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-11-09
DOI
https://doi.org/10.5281/zenodo.17566082
Primary Topic
Noncommutative and Quantum Gravity Theories
Type
article
Field-Weighted Citation Impact
0.00
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article

The Universal Constant ΩT = 13,1

Zenodo (CERN European Organization for Nuclear Research)
Noncommutative and Quantum Gravity Theories
article

The Universal Constant ΩT = 13,1

article en

Abstract

We rigorously define the universal log-periodic constant ΩT =13,1±0,5 rad · ln−1, called the Taburet constant. This constant setsthe universal spacing of oscillations cos ΩlnX + ϕ across a widerange of cosmological and gravitational observables whenever theyare governed by a discrete scale invariance. It emerges in TD3Rfrom a minimal tri-phasic closure: three identical scale steps (ratioλ ≃ 1,174) close the global cycle with a factorΛ = λ3 ≃ 1,618.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 44%
Noncommutative and Quantum Gravity Theories
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The Universal Constant ΩT = 13,1 · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS