Resolution of Conflicting Chronological Datings in Pre-Columbian Mesoamerica via Congruence Constraints: Preliminary Announcement

This preliminary announcement establishes formal priority for a discrete mathematical model designed to resolve systemic chronological ambiguities and historical date conflicts in pre-Columbian Mesoamerican records. 

While existing historical methodologies predominantly rely on qualitative astronomical correlation (e.g., standard GMT correlation variants) and stylistic epigraphic cross-referencing, they frequently encounter underdetermined systems when reconciling disjointed Calendar Round (CR) permutations across disparate monumental inscriptions and conquest-period ethno-historical chronicles.

By formalizing the dual-cycle mechanics of the Tzolk'in (260-day) and Haab' (365-day) calendar systems into a set of simultaneous modular congruence equations with explicit parameter boundaries, this research proves that candidate historical dates are subject to rigid integer constraints. Preliminary calculations demonstrate that long-standing historical controversies regarding specific inter-polity succession markers, conquest chronologies, and disputed monument datings can be uniquely resolved or constrained to a mathematically singular solution space, eliminating alternative candidate correlations that fail basic congruence validity.

The complete mathematical proofs, systemic modular formulations, algorithmic solvers, and comprehensive empirical validations against specific corpus monuments are fully completed and preserved in author-archived manuscripts. They will be submitted for full peer review in leading academic journals and utilized in collaborative institutional research.