Technical Scoping Note V.X (NCT V.X) Physical observations and cross-disciplinary applications From dyscoherence to decoherence: the structural phase transition

Marc Fidèle ASSAH

Published Jul 25, 2026• 0 citations

Abstract

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

DOI: 10.5281/zenodo.21568695

Related papers

Can the Dyscoherence-Decoherence Transition Be Reduced to a Single Constant? The Tipping Constant ζ ≈ 0.2607 and the Structural Phase Transition From Relational Discord to Structural Collapse V4.A22 — Article 22 of the series Derived from the M2FA Edifice

Marc Fidèle ASSAH

Can the dyscoherence-decoherence transition be reduced to a single constant? Two systems in relational discord (dyscoherence Dy) can tip toward a loss of internal coherence (decoherence H) if the discord is not resolved. This article deepens the framework introduced in NCTV.X and synthesised in SS.V. It formalises dyscoherence and decoherence as distinct quantities: dyscoherence is relational (phase disagreement between systems), decoherence is structural (loss of internal coherence). The transition Dy → H is governed by a single constant, the tipping constant ζ ≈ 0.2607. The article provides the internally observed relation: ζ = H/ϕ + λ/π − λ/ϕ 3.The transition occurs in 95.80% of cases (100,000,000 runs). A transversal protocol (physics, biology, sociology, economics) with stratified split and statistical sizing is provided. The claimed level is 3σ (strong candidate), with 4σ (discovery) as an extension. All numericalvalues presented are internal to the M2FA framework; external empirical confrontation remains open. The notation Dy is used in continuity with the notation Dy of V3.A15. Keywords: dyscoherence; decoherence; tipping constant; structural phase transition; relationaldiscord; existential rupture; critical transition; irreversibility; M2FA.

Oct 11, 20260 citations

Technical Scoping Note III.8 (NCT III.8) The Gamma-Mu Attractor (Γµ)– Marchitectural Mafetic Operator Fundamental Entity of All Emergence– From NC I Mafetic Inconnector to the Factorized Law

Marc Fidèle ASSAH

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.

Jun 6, 20260 citations

Quantum Structural Theory of Harmony (QSTH 6.10) — The Fifth Dimension as an Account: A Ledger Formulation in (3+1)D

Rostislav Stepanik

QSTH Publication 6.10 reframes “extra-dimension” language without adding new geometric space. Instead of introducing a fifth coordinate w, QSTH models the “extra degree of freedom” as a non-geometric, audit-level state parameter: an information–entropy infrastructure (“ledger”) governing transitions between R-layers—discrete reality modes spanning coherence, record formation, decoherence/thermalization, and macro-classical behavior. The core claim is operational: many 5D-like effects can be rewritten in (3+1)D as an audit balance between coherence and reduction, ΔS_coh ↔ ΔS_red. In this framing, the “fifth dimension” becomes an accounting axis: how much structured information remains coherently accessible versus already booked into classical record and noise. The paper defines measurable signatures of this ledger picture—thresholds, hysteresis, and stability windows—and provides vignettes plus an audit mini-table that map each marker to “what to measure” and PASS/FAIL/INCONCLUSIVE criteria (bridge to QSTH 6.9 audit methodology). A dedicated Dimensional Note clarifies the distinction between mathematical dimensions (parameters, state spaces, symmetries, RG scales) and physical geometric dimensions, using a practical metaphor (“dimensions as columns in a table”) to prevent category errors. Within QSTH, I-Dim is explicitly defined as an internal state axis (not extra space) describing the depth of information accessibility / ledger depth, with sensitivity controlled by α_I-Dim and environmental permeability modeled by FSSC (Fine-State Semi-Constant). Status: EN CORE, ready for Zenodo. Cross-reference: complements QSTH 6.9 (Audit/Verification Framework). Related QSTH Zenodo records (recommended entry points) QSTH 1.0 — Foundational Publication (DOI: 10.5281/zenodo.17455814) QSTH 1.0 — Horizon Set (DOI: 10.5281/zenodo.18015679) QSTH 4.1 — Planckian Horizon 2.0: The Entropic Bridge between Quantum and Cosmological Reality (DOI: 10.5281/zenodo.17899867) QSTH 5.2 — OMEG: The Operational Metric Plane of Entropic Geometrodynamics (DOI: 10.5281/zenodo.17937840) QSTH 6.0 — The Info-Dim (I-Dim) Package (DOI: 10.5281/zenodo.18156387) QSTH 6.1 — Entropic Zero (E0) & Entropic Stars (DOI: 10.5281/zenodo.18165254) QSTH 6.2 — Vacuum as an Entropic Ledger and the Origin of Baryon Asymmetry (DOI: 10.5281/zenodo.18641674) QSTH 6.5 — Planckian Horizon 2.0 as a Ledger Boundary (DOI: 10.5281/zenodo.18649631) QSTH 6.6 — Planckian Horizon 2.0 as an Operational Entropic-Coherence Principle (DOI: 10.5281/zenodo.18701036) QSTH 6.7 — Variational Entropic Lagrangian (R10) (DOI: 10.5281/zenodo.18715255) QSTH 6.8 — Mendeleev Table of Relationships among Physical Constants (DOI: 10.5281/zenodo.18762028) QSTH 6.9 — I-Dim Elementary Coupling and Semi-I-Dim Classification of the Fine Structure Constant α ≈ 1/137 (DOI: 10.5281/zenodo.18864069)

Mar 5, 20260 citations

2025-10-20_RFT_Relational_Coherence_Density_in_Relational_Field_Theory_RFT_Technical_Note_0.3

Svancara, Clinton

This paper forms part of the Relational Field Theory Technical Note Series (0.1–0.3), mapping the continuum from ontological boundary to measurable coherence density. This work extends Notes 0.1–0.2, completing the ontological-to-measurable mapping of Relational Field Theory (RFT). It introduces a relational coherence density metric, ρc = Rc(local) Rc(univ) , bridging micro-coherence (quantum behavior) and macro-coherence (gravitational/cosmological structure). Singularities at ρc → 0 (undefined variation, see Note 0.1) and ρc → ∞ (divergent stability, see Note 0.2) frame this metric, unifying emergent phenomena—quantum decoherence to cosmic acceleration—within a testable ontology for physical transitions Provenance: Originally published on Zenodo (Oct 2025). 10.5281/zenodo.17400900

Jan 1, 20250 citations

M²FA Model Simulation Code– NCT III.8 Accompanying The Gamma-Mu Attractor (Γµ)– Marchitectural Mafetic Operator

Marc Fidèle ASSAH

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

Jun 6, 20260 citations

The Dynamics of Discrete Fact: A Phase-Transition Theory of Wavefunction Collapse (V1)

Ahmed Hamid Mahmoud

(Note: Please refer to Version 3 (v3) of The Dynamics of Discrete Fact: A Phase-Transition Theory of Wavefunction Collapse for the updated and expanded presentation of the framework). _______________________ This is Version 2 of The Dynamics of Discrete Fact, presenting an expanded and clarified construction of wavefunction collapse as a genuine physical phenomenon: a nonequilibrium phase transition in a macroscopic measurement apparatus. As before, collapse is modeled as a critical instability in an emergent order parameter governed by time-dependent Ginzburg–Landau dynamics. Discrete outcomes arise through spontaneous symmetry breaking in the apparatus–environment system, while Born weights are preserved via probability-conserving basin flow in the associated Fokker–Planck description—without modifying the Schrödinger equation or introducing new constants. Relative to v1, v2 (i) makes the single-run (outcome-conditional) collapse dynamics explicit rather than implicit, (ii) strengthens the Born-rule preservation argument by tying basin structure more directly to apparatus symmetry, and (iii) tightens the experimental discussion by specifying the regimes in which critical signatures are and are not expected. The framework retains concrete signatures—critical slowing near threshold, hysteresis under parameter cycling, metastability, and outcome-correlated transient detector spikes—and positions collapse alongside emergent macroscopic instabilities such as superconductivity and ferromagnetism.

Jan 27, 20260 citations