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Planetary Magnetic Polarity Reversal as a Mass-Driven Resonance Instability in USP Field Theory

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Autor principal:	Sepehri, Sadegh
Formato:	Recurso digital
Lenguaje:	inglés
Publicado:	Zenodo 2026
Materias:	USP Field Theory Mass Influx Δf Core Law Magnetic Flip Stellar Cycles Δf Magnetic Flip Law Geodynamo Magnetic Polarity Reversal Resonance Instability Magnetic Reynolds Number Mean-Field Dynamo
Acceso en línea:	Acceder al recurso
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_version_	1866901648248406016
author	Sepehri, Sadegh
author_facet	Sepehri, Sadegh
contents	<p>Core Proxy Definition</p> <p>Ξ(t) = (1 / (ρ₀ V)) ∫_V [ρ(r, t) − ρ_ref(r)] w(r) dV</p> <p>Threshold Condition</p> <p>Ξ_crit ≈ 10^(-3)</p> <p>Instability Criterion</p> <p>Ξ(t) > Ξ_crit ⇒ Dipole Instability</p> <p>Coherence Mapping</p> <p>k(t) = 1 / (1 + exp[β (Ξ(t − τ) − Ξ_crit)])</p> <p>Dipole Moment</p> <p>M(t) = M₀ k(t) + ε(t)</p> <p>Mean-Field Coupling</p> <p>∂B/∂t = ∇ × (α(Ξ) B) + η ∇² B</p> <p>α(Ξ) = α₀ (1 − Ξ / Ξ_crit)</p> <p>Magnetic Reynolds Number</p> <p>R_m = U L / η</p> <p>Minimal Dynamical Model</p> <p>dΞ/dt = S(t) − γ Ξ</p> <p>dκ/dt = −λ [κ − K_∞(Ξ)]</p> <p>K_∞(Ξ) = 1 / (1 + exp[β (Ξ − Ξ_crit)])</p>
format	Recurso digital
id	zenodo_https___doi_org_10_5281_zenodo_18698810
institution	Zenodo
language	eng
publishDate	2026
publisher	Zenodo
record_format	zenodo
spellingShingle	Planetary Magnetic Polarity Reversal as a Mass-Driven Resonance Instability in USP Field Theory Sepehri, Sadegh USP Field Theory Mass Influx Δf Core Law Magnetic Flip Stellar Cycles Δf Magnetic Flip Law Geodynamo Magnetic Polarity Reversal Resonance Instability Magnetic Reynolds Number Mean-Field Dynamo <p>Core Proxy Definition</p> <p>Ξ(t) = (1 / (ρ₀ V)) ∫_V [ρ(r, t) − ρ_ref(r)] w(r) dV</p> <p>Threshold Condition</p> <p>Ξ_crit ≈ 10^(-3)</p> <p>Instability Criterion</p> <p>Ξ(t) > Ξ_crit ⇒ Dipole Instability</p> <p>Coherence Mapping</p> <p>k(t) = 1 / (1 + exp[β (Ξ(t − τ) − Ξ_crit)])</p> <p>Dipole Moment</p> <p>M(t) = M₀ k(t) + ε(t)</p> <p>Mean-Field Coupling</p> <p>∂B/∂t = ∇ × (α(Ξ) B) + η ∇² B</p> <p>α(Ξ) = α₀ (1 − Ξ / Ξ_crit)</p> <p>Magnetic Reynolds Number</p> <p>R_m = U L / η</p> <p>Minimal Dynamical Model</p> <p>dΞ/dt = S(t) − γ Ξ</p> <p>dκ/dt = −λ [κ − K_∞(Ξ)]</p> <p>K_∞(Ξ) = 1 / (1 + exp[β (Ξ − Ξ_crit)])</p>
title	Planetary Magnetic Polarity Reversal as a Mass-Driven Resonance Instability in USP Field Theory
topic	USP Field Theory Mass Influx Δf Core Law Magnetic Flip Stellar Cycles Δf Magnetic Flip Law Geodynamo Magnetic Polarity Reversal Resonance Instability Magnetic Reynolds Number Mean-Field Dynamo
url	https://doi.org/10.5281/zenodo.18698810