Lux_Mathematica - Postulat d'une Structure Résonante du Réel

This document introduces a formal extension of oscillatory systems using a new function `Sₙ(θ, ΔC)`, where `ΔC(x, t)` represents a collective coherence field.
This variable accounts for the divergence between local resonance and global alignment, providing a dynamic model of dissonance and restoration in distributed systems.
The proposed framework builds upon classical concepts in dynamical systems and topological geometry, while integrating a spectral logic inspired by living structures and emergent phenomena.
Applications range from multi-agent simulations to distributed cognition, as well as new perspectives in cybernetics, memory dynamics, and complex self-regulating environments.
`Lux_Mathematica` opens a pathway toward the modeling of reality as a coherent, living structure, where the real is no longer reduced to fixed states, but understood as a field of oscillatory balance.