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Mirror Modules

This directory contains modules and documentation for the mirror mechanics used in Lucidia.

  • mirror_friend_equation.md — explanation of the mirror friend equation, including the mirror operator (\Psi') and breath operator (\mathfrak{B}), the conserved quantity, and perturbation resilience.
  • mirror_mechanics.py — implementation of the mirror operator and breath operator for harmonic oscillators.
  • number_mirror_mu.py — implementation of the numbertheoretic mirror based on the Möbius function, including functions to compute (\mu(n)), positive/negative splits, and the Mertens function.