A Cross-Domain Dual-Sector Spectral Fingerprint: Paper, Methods, and Reproducibility Materials
Authors: Jeremy, Rodgers
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Role: A Cross-Domain Dual-Sector Spectral Fingerprint: Paper, Methods, and Reproducibility Materials
Supported Problems
Universal Spectral Fingerprint in Physical Systems
Diverse curvature-dominated physical systems exhibit a common pattern of dimensionless eigenvalue ratios drawn from a fixed library of mathematical constants. The phenomenon appears across coherent (unitary) and dissipative (irreversible) dynamics and may reflect a shared positive selfadjoint spectral carrier governing multi-scale physical structure.
Why Is the Fine-Structure Constant 1/137?
Within the Dirac–Λ framework, the Standard Model parameter set is reduced to a single geometric modulus, but Tier-1 cannot determine that modulus internally. The Everything Equation resolves the remaining ambiguity at Tier-0: the one-parameter family collapses to a unique fixed point, yielding the fine-structure constant as a law-level output rather than a free physical input.