Expert Habitat: A Colonization Conjecture for Exoplanetary Habitability via penalized multi-objective optimization and Swarm Clustering based candidate validation

Colonization opportunities and interstellar trade are not remote possibilities if feasible habitable worlds are discovered. The Economics here relies heavily on the Science and the necessary conditions to be inspected when looking for life on planets beyond our solar system. The physical conditions demand structural similarity of an extra-solar planet (exoplanet) to Earth, and the necessary bio-chemical conditions needed to sustain life in the planet. These two aspects are commonly referred to as earth-similarity and habitability, respectively. We propose a novel bi-objective optimization framework as a tool to measuring Earth Similarity Score (CDHS). This is succeeded by investigating possible interactions between Earth-similarity and habitability. The investigation is conducted via two variants of penalized multi-objective particle swarm optimization: Speed Constrained Multi-objective PSO (SMPSO) and a novel variant of Multi-Objective Quantum PSO (MOQPSO). The optimization framework dispenses of classical gradient descent/ascent approach (GD/GA) by replacing it with SMPSO and MOQPSO. The approach to the production relations commonly adopted in production economics can be a natural influence for modeling habitability in exoplanets. An insightful demonstration establishes this claim. The scores reveal potentially habitable planets for interstellar trade. An analytical model of colonization in an exoplanet is also presented where we derive conditions for interstellar migration using the time to travel to such a planet (if possible) as one of the key parameters.