Quantitative Symmetry-Based Inference in Exoplanet Phase Systems: Toy Model, Coherence Functional, and Stability Bounds in a C12 Framework
Quantitative Symmetry-Based Inference in Exoplanet Phase Systems: Toy Model, Coherence Functional, and Stability Bounds in a C12 Framework
ABSTRACTWe 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.
exoplanet phase curves, C12 encoding, discrete Fourier decomposition, invariant extraction, symmetry averaging, dihedral mirror symmetry, environmental coherence functional, noise stability bounds, multi-clock closure, rational approximation, cyclic state space modeling, spectral mode analysis, symmetry constrained inference, robustness under degeneracy, planetary variability modeling, bounded error propagation, discrete environmental indexing, harmonic phase analysis, observational stability metrics, coherent classification framework
exoplanet phase curves, C12 encoding, discrete Fourier decomposition, invariant extraction, symmetry averaging, dihedral mirror symmetry, environmental coherence functional, noise stability bounds, multi-clock closure, rational approximation, cyclic state space modeling, spectral mode analysis, symmetry constrained inference, robustness under degeneracy, planetary variability modeling, bounded error propagation, discrete environmental indexing, harmonic phase analysis, observational stability metrics, coherent classification framework
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