Powered by OpenAIRE graph
Found an issue? Give us feedback
ZENODOarrow_drop_down
ZENODO
Other literature type . 2026
License: CC BY
Data sources: Datacite
ZENODO
Other literature type . 2026
License: CC BY
Data sources: Datacite
addClaim

Phase-Dependent Resonance Coupling in Earth's Layered Seismicity: An Annex to the Earth-Moon Framework

Authors: Johnson, Carolina;

Phase-Dependent Resonance Coupling in Earth's Layered Seismicity: An Annex to the Earth-Moon Framework

Abstract

This annex applies the Unified Harmonic Shells (UHS) framework to the solid Earth interior, deriving a deterministic model for planetary layer architecture and deep-focus seismicity from first principles. Using the curvature-frequency duality of the Φ-operator (f = c/r), a single spatial invariant Λ = 6,960 km is calibrated to the Core-Mantle Boundary. From this single constant, the complete interior shell ladder is derived: the lithospheric base (n = 11/10), the upper/lower mantle transition at 660 km (n = 11/9), the mid-lower mantle transition (n = 4), the F-zone crystallization envelope (n = 6), and the Innermost Inner Core boundary (n = 8). All boundaries are computed without parameter fitting. Deep-focus seismicity at 41 km (Hawaiian lithospheric flexure) and 250 km (Calabrian slab rupture, June 2, 2026) is mapped to rational phase nodes 11/10 and 8/7 respectively. The failure mechanism is derived from the quadratic strain-rate dependence of the Φ-operator and a phase reset condition at rational nodes, resolving the classical brittle-failure paradox at high lithostatic pressure without ad hoc mechanisms. Two observed values enter the model: mean Earth radius Rₑ = 6,371 km and CMB radius r_CMB = 3,480 km. No parameters are fitted. Part of the Harmonic Structures in Natural Systems series. SemanticShift.net.

  • BIP!
    Impact byBIP!
    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).
    0
    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.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
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
Upload OA version
Are you the author of this publication? Upload your Open Access version to Zenodo!
It’s fast and easy, just two clicks!