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Other literature type . 2025
License: CC BY
Data sources: ZENODO
ZENODO
Other literature type . 2025
License: CC BY
Data sources: Datacite
ZENODO
Other literature type . 2025
License: CC BY
Data sources: Datacite
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Testing Unified Substrate Theory: A Dual-Channel > 50σ Detection of Log-Periodic β = 4 Dynamics Before and After Earthquake Mainshocks

Authors: Panagis, Christoforos;

Testing Unified Substrate Theory: A Dual-Channel > 50σ Detection of Log-Periodic β = 4 Dynamics Before and After Earthquake Mainshocks

Abstract

This work examines whether seismic activity exhibits the discrete-scale-invariant harmonic structure predicted by the Unified Substrate Theory (UST). Using global earthquake catalogues and aftershock sequences from diverse tectonic environments, the analysis applies the UST harmonic ladder (β = 4, 9, 16, 27.57) to temporal, spatial, and magnitude-resolved windows around major seismic events. Each window is compared against carefully designed null models—including permutation, distance-preserving, and catalogue-randomization controls—to ensure that any detected structure is not a by-product of clustering or catalogue incompleteness. Across all tested sequences, the UST harmonic modes consistently reduce residual variance, with statistical significance exceeding 50σ in several domains, and cross-validation demonstrating predictive power rather than overfitting. These results reveal that earthquakes encode the same log-periodic harmonic behavior seen in UST's cosmological and atmospheric tests, supporting the theory’s central claim that discrete harmonic scaling is a universal feature of dynamical systems approaching criticality.

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Keywords

earthquake dynamics, β-harmonic ladder, Unified Substrate Theory (UST), discrete scale invariance

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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
Average
Average
Green