Lava-Void Planetary Science Pillar 04: Habitability and Astrobiology (v2.2)

Subtitle: Isolated Lava Condensates (Rogue Planets) and the Nomadic Filter This document establishes version 2.2 of the fourth pillar of Lava-Void Cosmology (LVC). This update formalizes the role of Rogue Planets (Isolated Lava Condensates) within the unified fluid paradigm. Key Technical Breakthroughs: Rogue Planet Hydrostatics: We model free-floating planetary mass objects as localized high-density perturbations ($\delta\rho$) in the LVC background. In the high-density limit ($w \approx 0$), these objects maintain stable hydrostatic equilibrium using standard GR fluid metrics, reinterpreting "matter" as a condensed phase of the universal substrate. The Rogue Habitability Index $H_r(t)$: Adaptation of the habitability equation for starless environments. $$H_r(t) = \left( \frac{\eta_{int}}{\eta_{int} + \alpha \sigma_{void}} \right)^\beta$$ where $\eta_{int}$ is internal radiogenic viscosity and $\sigma_{void}$ is the stripping rate of the intergalactic medium. We demonstrate that rogue planets are "Entropy-Dominated," requiring high-viscosity "Breaker Horizons" (impacts or tidal flares) to trigger transient Lava Phases. Advective Transport of Life: Integration with Pillar 8 (Astrodynamics). We show that rogue planets, by virtue of their lack of stellar coupling, are "Low-Inertia Sailors." They are preferentially advected by void outflows ($v_{adv} \approx 600$ km/s), acting as the primary multiplicative "bus" for panspermatic seeding across galactic distances. Refined Drake Equation (Nomadic Extension): Inclusion of the $f_{rogue}$ factor. $$N = R_* \cdot f_p \cdot n_e \cdot \langle H \rangle \cdot f_{sync} \cdot f_{drain} \cdot f_{rogue} \cdot L_{nomad}$$ We argue that the true "Great Filter" is the transition from a planet-bound species to a rogue-planet-hosted "Nomadic" species. The complete mathematical derivation and extended discussion for Lava-Void Cosmology and all pillars can be found on https://www.mylivingai.com/