DPAH Markovian Matrix: Dew-Point Anchor Hypothesis – Run401 Modular Skeleton and Stable Tropical Attractor (30 April 2026)

This notebook series implements the Dew-Point Anchor Hypothesis (DPAH) using a Markovian state-space approach. Conventional climate models rely on top-down radiative forcing with surface temperature as the primary diagnostic. In contrast, DPAH treats the dew-point lifting condensation level (LCL) as an independent physical anchor. From this boundary, the tropospheric column is integrated downward using hydrostatic equilibrium and adiabatic processes.

Run401 establishes a clean, modular, vectorized Python skeleton (DPAHMarkovModel class) with:

• Full column physics (moist-adiabat upward + limited dry-adiabatic descent) pre-computed for every state.
• Explicit dewpoint (D) dimension controlling LCL height and surface T.
• Regime-specific scoring (Ascent/ITCZ vs Descent/subtropical high).
• Tunable film_suppression parameter to test ocean-surface evaporation throttling (Isakov hypothesis).
• Automatic marginal histograms + PNG export.

The stationary distribution converges rapidly to a physically realistic warm-moist attractor in the tropical ascent regime and a stable subtropical descent regime. Film suppression (0–10 %) has minimal impact on stationary temperature, demonstrating the strong negative feedback of the dew-point thermostat.

Key Results – Run401 v6 (film-suppression sweep)

Pure physics diagnostic: Mean preferred_T ≈ 302.93 K (Ascent, film=0) – the Markov chain now faithfully follows the DPAH column integrator.

Zenodo Deposit Notes

• This marks the completion of the Run401 baseline.
• All prior runs (v1–v5) are archived in the Excel log for provenance.
• Next iteration (Run402) will focus on explicit dry-subsidence refinement in the Descent leg.