Geometric Angular Momentum Hypothesis for Mars Crustal Remanent Magnetism: A Phi Grid Framework Extension (Timestamp Record)

CLASSIFICATION: EXPLORATORY-CLEAN. No pre-registration. Public data only. This record establishes priority of hypothesis prior to any data access or analysis.

This document timestamps a hypothesis extending the Project Phi Grid framework (Earth: DOI 10.5281/zenodo.19035389, p=0.0102; Stellar Neighbourhood: DOI 10.5281/zenodo.19241818, p=0.0285; Gaia GCNS confirmatory null: DOI 10.5281/zenodo.19235599, p=0.176) to Mars crustal remanent magnetism.

Hypothesis: The spatial arrangement of Mars's crustal remanent magnetic anomalies departs from spatial randomness in a manner consistent with φ-ratio geometric organization, and that geometric arrangement constitutes an angular-momentum-bearing configuration in the sense established by Ahrens & Vinante (Physical Review Letters 136, 146703, 2026; DOI: 10.1103/hdh6-r1gy) for non-spinning levitated ferromagnets.

Two falsifiable predictions:

(1) Pre-registered φ-shell or φ-grid alignment test of strong Martian crustal magnetic anomalies anchored at a candidate geometric origin, evaluated against Monte Carlo null distributions over random anchors and random geometric progressions, using the methodology of the Earth and stellar papers. Anchor specificity protocol (≥10 anchors) is required.

(2) If (1) survives at p<0.05, the principal axis of the φ-grid projected onto the Martian rotation axis should align preferentially with the documented true polar wander great circle.

The mechanism citation (Ahrens & Vinante 2026) confirms Maxwell's 160-year-old prediction that geometric magnetic order in a non-spinning body carries real angular-momentum properties manifesting as gyroscopic coupling. Acknowledged scale gap: the lab demonstration is at single-magnet scale; translation to planetary scale assumes geometry is the operative scale-independent variable. The claim is not that crustal-spin angular momentum dominates Martian rotational dynamics, but that the geometric arrangement of remanent magnetization constitutes a configuration whose response to mass-redistribution forcing is constrained by its geometric symmetry class.

Data sources (public, none accessed at time of this timestamp): NASA Planetary Data System — MGS magnetometer (1997–2006), MGS Electron Reflectometer (1999–2006), MAVEN magnetometer (2014–present). Reference models: Langlais et al. 2019 (combined MGS+MAVEN); Gao et al. 2021 spherical harmonic model (DOI: 10.1029/2021EA001860); Mitchell et al. 2007 ER map (DOI: 10.1029/2005JE002564).

Pre-registration commitment: Before any Mars magnetic field data is downloaded or examined, an OSF pre-registration will specify (a) anchor selection protocol, (b) B-threshold for anomaly inclusion, (c) tolerance for shell match, (d) treatment of the Martian crustal hemispheric dichotomy in the Monte Carlo null model.

Falsification conditions: p>0.05 across multiple reasonable anchor choices for the geometric test; no preferential alignment between principal φ-grid axis and TPW great circle for the dynamical prediction.

This record establishes priority of hypothesis only. No data has been examined. No analysis has been performed.