Quantitative Symmetry-Based Inference in Exoplanet Phase Systems: Toy Model, Coherence Functional, and Stability Bounds in a C12 Framework

ABSTRACT
We present a quantitative framework for symmetry-based exoplanet environmental inference. A radix-12 phase encoding maps orbital observables into a cyclic state space. A toy model demonstrates Fourier mode decomposition and invariant extraction via group averaging. We define a Coherence Score functional that evaluates bundle stability under constraint expansion. Finally, we derive stability bounds under observational noise and model perturbations. The framework provides mathematically controlled plausibility gradients without over-claiming compositional detail.