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2.2 KiB
2.2 KiB
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 number‑theoretic mirror based on the Mobius function, including functions to compute mu(n), positive/negative splits, and the Mertens function.quantum_mirror_qi.py— implementation of the quantum information mirror, including functions to split a qubit into logical and phase components, evolve under unitary dynamics, apply delta‑kicks, compute Bloch coordinates, and measure two‑qubit entanglement via concurrence.README_qi.md— documentation for the quantum mirror module explaining its purpose, features, and usage.graph_network_mirror.py— implementation of the graph/network mirror, including functions to split an adjacency matrix into symmetric and antisymmetric components, compute degree distributions, apply breath updates, and introduce delta-kick perturbations to network edges.README_graph_network.md— documentation for the graph/network mirror module explaining its purpose, features, and usage.thermodynamic_entropy_mirror.py— implementation of the thermodynamic/entropy mirror, providing functions to split a probability distribution into reversible and irreversible parts, apply the breath operator toward equilibrium, introduce perturbations, and measure entropy changes.README_thermodynamic_entropy.md— documentation for the thermodynamic/entropy mirror module explaining its purpose, features, and usage.mirror_engine.py— orchestrates multiple mirror domains, aggregates invariants across physics, quantum, number, network and thermodynamic mirrors, applies adaptive breath control, and logs aggregated history.capability_optimizer.py— performs a random search over mirror engine parameters to maximise the harmonic mean of reach and stability, and reports top configurations.