This document contains the Python simulation code for the M²FA model as described in NCT III.8 (TheGamma-Mu Attractor– Marchitectural Mafetic Operator).The code implements:• Extended factorized law Scrit(A) = ρU · Γµ · Θ(A)• Spin dependence of Γµ for H, D, C-12, C-13• Magnetic field effect Γµ(B) = tanh(µB/kT)• Visualization of isotopic signatures and Γµ(B)The simulation is fully reproducible. The code demonstrates that Γµ is the operational incarnation ofthe Mafetic Inconnector, unifying coherence, critical threshold and decoherence.Keywords: M²FA, Gamma-Mu Attractor Γµ, spin, factorized law, magnetic field.Related publication: NCT III.8– DOI 10.5281/zenodo.20570288
This document contains the Python simulation code for the M²FA model as described in NCT III.8 (TheGamma-Mu Attractor– Marchitectural Mafetic Operator).The code implements:• Extended factorized law Scrit(A) = ρU · Γµ · Θ(A)• Spin dependence of Γµ for H, D, C-12, C-13• Magnetic field effect Γµ(B) = tanh(µB/kT)• Visualization of isotopic signatures and Γµ(B)The simulation is fully reproducible. The code demonstrates that Γµ is the operational incarnation ofthe Mafetic Inconnector, unifying coherence, critical threshold and decoherence.Keywords: M²FA, Gamma-Mu Attractor Γµ, spin, factorized law, magnetic field.Related publication: NCT III.8– DOI 10.5281/zenodo.20570288
NC I introduced the Mafetic Inconnector (⊕) as an indissoluble fusion betweenfractal memory (F) and fragmentary mutation (G), without operational formalization.The present NCT III.8 gives a computable version of this principle: the GammaMu Attractor (Γµ).Γµ is a marchitectural mafetic operator acting in spin space (spinorial function). Itorganizes the factorized law of thresholds:Scrit(A) = ρU · Γµ(ψspin) · Θ(A)where ρU is the universal critical density (decoherence) and Θ(A) the atomic signature.We distinguish three operation modes of Γµ:• Coherence mode: maintenance of quantum superposition before the threshold,• Critical mode: switching at the threshold ρU ≈ 0.382,• Decoherence mode: guidance of dissipation and crystallization after the threshold.Testable predictions are formulated (spinorial dependence of isotopic signatures, effectof a magnetic field). Γµ completes the triad (ρU,Θ,Γµ) and unifies NC I, NCT II.3, III.2,III.5, III.4, III.7.Keywords: M²FA, Gamma-Mu Attractor Γµ, Mafetic Inconnector, spin, spinorial function, factorized law, operation modes.
This document contains the Python simulation code for the M²FA model asdescribed in NCT V.IV (The Alert Constant λ = 0.3 — Part II: A Hybrid Constantof Order, Wave, and Practical Utility). The code implements:• Validation of the fundamental relation λ=4H/πφ• Exploration of ontological porosity ε = 0.2%• Demonstration of the two safety margins (21.3% and 21.5%)• Statistical analysis over 1,000,000 runs• Visualization of the hybrid nature of λThe simulation is fully reproducible. The code demonstrates that λ = 0.3 is ahybrid constant, emerging from the relation between Order (H, φ, 4) and Wave (π).Keywords: M²FA, NCT V.IV, Alert Constant λ, hybrid constant, golden ratio,decoherence, order and wave, ontological porosity.Related publications:• NCT II: 10.5281/zenodo.19950456• NCT II.3: 10.5281/zenodo.20037122• NCT V: 10.5281/zenodo.21188867• NCT V.II: 10.5281/zenodo.21351682• NCT V.III: 10.5281/zenodo.21398367• NCT V.IV: 10.5281/zenodo.21429945
This document contains the Python simulation code for the M²FA model as described in NCT VII.XI (Vibrating Strings — The Oscillation Between Inverted States). The code validates the five predictions P43-P47 of the theoretical note. The simulation runs 10,000 Monte Carlo iterations and confirms:• P43 — String detection: 99.6% detection rate (CONFIRMED)• P44 — Harmonic modes: 83.1% harmonic detection (CONFIRMED)• P45 — Memory modulation: 100.0% modulation rate (CONFIRMED)• P46 — Human action: 100.0% action effect (CONFIRMED)• P47 — Vibratory residues: 70.6% residue detection (CONFIRMED)The simulation reveals that vibrating strings are the dynamic interval between inverted states. They are detectable, produce harmonic modes, are modulated by memory, respond to human action, and leave vibratory residues that constitute materiality. Keywords: M²FA, NCT VII.XI, vibrating strings, oscillation, dynamic interval,tension, potential, memory, interferences, residues, vibratory modes. Related publications:• NCT VII.XI: 10.5281/zenodo.22133220• NCT VII.X: 10.5281/zenodo.22116378• NCT VII.IX: 10.5281/zenodo.22096362• NCT VII.VIII: 10.5281/zenodo.22085607
This document contains the Python simulation code for the M²FA model as describedin NCT VII.XIII (The Mosaic of the Code — Plural Universes and Parallel Worlds). Thecode validates the five predictions P53-P57 of the theoretical note.The simulation runs 10,000 Monte Carlo iterations and confirms:• P53 — Mosaic detection: 100.0% detection rate (CONFIRMED)• P54 — Codal Cluster identification: 100.0% identification rate (CONFIRMED)• P55 — Shield-Cocoon measurement: 100.0% measurement rate(CONFIRMED)• P56 — Terminal phase observation: 99.8% observation rate (CONFIRMED)• P57 — Own realities: mean mosaic diversity 0.7112 (CONFIRMED)The simulation reveals that ETCO is a mosaic of multiple worlds. Each world hasits own code and space-time. The Codal Cluster is identifiable as the common law of allcodes. The Shield-Cocoon is measurable. The terminal phase is observable. Each worldhas its own realities. Keywords: M²FA, NCT VII.XIII, mosaic of the Code, plural universes, parallelworlds, Codal Cluster, Shield-Cocoon, terminal phase, projection lens. Related publications:• NCT VII.XIII: 10.5281/zenodo.22165189• NCT VII.XII: 10.5281/zenodo.22148807• NCT VII.XI: 10.5281/zenodo.22133220• NCT VII.X: 10.5281/zenodo.22116378
NCT V.IX introduced the Shared Existence Theory and formalized theconcepts of shared space Eshared, resemblance coefficient R, phase cohesion Cϕ,dyscoherence Dy, energy confluence F, Mafetic Inconnector ⊕E , Shared ShieldBshared, maféisation, and hatching.The present NCT V.X pursues three objectives:1. Practical dimension: clarify the transition Dy → H and its threshold.2. Conceptual clarification: establish correspondences between sharedexistence concepts and observed physical phenomena.3. Establishment of the tipping constant ζ: demonstrate itstwo discoveries (phenomenological and fundamental) and retain itsfundamental value.A specific simulation (100,000,000 runs) was conducted to measure theDy → H transition. The results show that:• The transition occurs in 95.80% of cases.• The phenomenological critical threshold is. ζ1 ≈ 0.260271.• The fundamental value is ζ = 0.26074 ≈ 0.26.• The gap between the two values is ι = 0.00047, the sensitivity constant.NCT V.X closes Seal V by unifying relational dynamics (shared existence)and structural dynamics (held existence).Keywords:M²FA, NCT V.X, shared existence, dyscoherence,decoherence, phase transition, physical observations, tipping constant ζ.Related publications:• NCT V.IX: 10.5281/zenodo.21528719• NCT V.VIII: 10.5281/zenodo.21509124• NCT V.VII: 10.5281/zenodo.21497247
Complete computational implementation for the manuscript “Comparative Study of the Anderson Model inWeak and Strong Interaction Regimes: Implementations in Julia (HierarchicalEOM.jl) and Python (QuTiP)”. This repository contains: Python implementation using QuTiP Julia implementation using HierarchicalEOM.jl All Jupyter notebooks reproducing manuscript figures Temperature study scripts Complete documentation and installation guides All simulations are fully reproducible using the provided code.