Programme-level position paper. This document records the 2026 reframing of the Radial Coherential Dynamics (RCD) programme after a genealogical and adversarial audit. It states what was closed, what survived, and the reframed frontier question. It claims no new physics. The evidence is carried by two companion deposits: the genealogical-audit case study "From Substrate to Relational" (DOI 10.5281/zenodo.21141602) and the MERIDIANO-v1 technical record with its reproducibility bundle (all versions: DOI 10.5281/zenodo.21142230). Four closures are registered with their instruments: (i) the coherence substrate lost operative physical status along three independent routes — buried as a physical claim, not refuted as a metaphysical possibility; (ii) the coupling rule J = J0·sqrt(Ci·Cj) was identified as an exact algebraic rewriting of a standard dispersive circuit-QED coupling; (iii) MERIDIANO-v1 returned INDETERMINATE-by-size at L = 12, after correcting a frictionless four-model NO-GO consensus (a documented instance of "cheap deflation"); (iv) the classical coupling of C to curvature remains closed by its own kill switch. What survives is labelled by epistemic status, including one falsifiable proprietary question — whether Wright–Fisher-class coupling landscapes carry a many-body fingerprint distinguishable from spectrum-matched surrogates — which cannot, in either outcome, promote C to a physical field. The centre of the programme is relocated from an ontological assertion to a frontier question with its own pre-declared death condition. No experiment is launched by this paper.
Programme-level position paper. This document records the 2026 reframing of the Radial Coherential Dynamics (RCD) programme after a genealogical and adversarial audit. It states what was closed, what survived, and the reframed frontier question. It claims no new physics. The evidence is carried by two companion deposits: the genealogical-audit case study "From Substrate to Relational" (DOI 10.5281/zenodo.21141602) and the MERIDIANO-v1 technical record with its reproducibility bundle (all versions: DOI 10.5281/zenodo.21142230). Four closures are registered with their instruments: (i) the coherence substrate lost operative physical status along three independent routes — buried as a physical claim, not refuted as a metaphysical possibility; (ii) the coupling rule J = J0·sqrt(Ci·Cj) was identified as an exact algebraic rewriting of a standard dispersive circuit-QED coupling; (iii) MERIDIANO-v1 returned INDETERMINATE-by-size at L = 12, after correcting a frictionless four-model NO-GO consensus (a documented instance of "cheap deflation"); (iv) the classical coupling of C to curvature remains closed by its own kill switch. What survives is labelled by epistemic status, including one falsifiable proprietary question — whether Wright–Fisher-class coupling landscapes carry a many-body fingerprint distinguishable from spectrum-matched surrogates — which cannot, in either outcome, promote C to a physical field. The centre of the programme is relocated from an ontological assertion to a frontier question with its own pre-declared death condition. No experiment is launched by this paper.
The late-time dissipative kernel of the Radial Coherential Dynamics (RCD) program is parabolic and does not generate a Lorentzian causal cone: signature is an input, not an output. This relocates the program's claim to a logically prior, operational question: can a coherence field organize a finite, switchable influence front in a local quantum dynamics, and does the specific spatial order produced by the RCD kernel matter beyond the distribution of coupling intensities? We study a transverse-field Ising chain and measure the infinite-temperature out-of-time-order correlator c(x,t) = ||[Z0(t), Zx]||^2_F / (2·2^N) as the primary observable, with frozen pre-registered gates. By exact operator evolution at N = 10, 12, 13 the front velocity in the clean channel is stable without appreciable size drift (v = 2.000 -> 1.980 -> 1.980 at theta=0.10, consistent with the exact maximal quasiparticle group velocity 2·min(J,h), distinct from and below the rigorous Lieb-Robinson bound), with OFF collapse to ~1e-13. Imposed coherence profiles modulate the front: an incoherent barrier blocks it, a coherence ramp slows it per a local WKB law, a uniform profile recovers the bare velocity. The coherence-to-coupling map J_i = J0·sqrt(C_i·C_{i+1}) is a constitutive ansatz, not a derived or unique law. The decisive test (KS-C1a) was executed on a snapshot of the SEALED 2D Wright-Fisher/Allen-Cahn kernel (de Sitter, H=0.02, seed 20260612, t*=1.0 t_H, central row coarse-grained 120->12). The candidate at t*=0.5 t_H failed the pre-quantum G0 gate; t*=1.0 t_H passed all three amended G0 conditions (CV(J)=0.189, percentile[S(C)]=3.5, xi=2). The result is a PRE-REGISTERED NULL (the RED branch): G1 PASS (real front obeys local WKB, R^2=0.913), G3 PASS (OFF 4.8e-14), but G2 FAIL for all three J-shuffles — cross-prediction differences (dR^2 ~ 0.03) and trajectory differences (Delta ~ 0.03-0.06) fell well below the pre-registered thresholds (0.15 and 0.10) on eight common interior sites. G4 was INDETERMINATE (the coarse-grained frozen snapshot contained no link below J_min=1e-6; declared before execution). A pre-specified diagnostic at row y=32 returned INDETERMINATE by dynamic censorship (extreme weak links left zero common interior sites), documenting an observability limit of the protocol in high-dynamic-range landscapes; implied kappa varied -4.5% to +8.1% across cuts, immaterial to the (differential) null. What survives: the operational front instrument (G1, G3), the perilla as a conditional predictive translator, and the local WKB law. What does NOT survive: the stronger statement that "the coherence-to-coupling map comes from the field." The narrow statement earned by the data is that a static RCD coherence landscape can be inserted into the constitutive ansatz to predict a front locally, but its tested spatial ordering was not operationally distinguishable from shuffled orderings with the same coupling values. Three non-exclusive readings (genuine physical null / coarse-graining loss / cut-dependent dynamic-range limitation) are stated without selection; each requires a new pre-registered follow-up. We claim NO derived metric, NO derived time, NO physical light cone, NO emergent general relativity. The dynamically coupled bridge (KS-C1b) is named as a new hypothesis, not a validated continuation. Execution evidence is sealed by SHA-256 (manifest in the supplementary record). The KS-C1a protocol amendment v0.5 was applied as recorded prior to execution; Appendix B reproduces the ratified pre-registration v0.4 verbatim.
Book IV — Persistence is part of the Radial Coherential Dynamics (RCD) research program and focuses on the physical conditions under which coherence and order can persist in open systems subject to noise and dissipation. Building on cross-platform experimental results obtained in January 2026—where GHZ entangled states exhibited approximately 50% improved coherence retention across incompatible quantum hardware—this book introduces the concept of structural persistence: the idea that certain correlation geometries resist decoherence not by isolation or active correction, but by minimizing their entropic attack surface. The work reframes the central question from “How do we create coherence?” to “What kinds of coherence can survive?” and examines three interconnected elements:(i) empirical persistence thresholds (e.g., the observed ~99.5% fidelity threshold),(ii) thermodynamic openness via entropy sinks (including the cosmological horizon), and(iii) the role of state geometry in optimizing dissipation. No new experiments are presented. Instead, the book consolidates existing data, evaluates compatibility with established physics (Landauer’s principle, Gibbons–Hawking thermodynamics, Jacobson’s derivation of gravity), and explicitly delineates what is known, hypothesized, and not yet derived. Book IV does not claim a new theory of gravity, consciousness, or cosmology. It establishes a disciplined conceptual framework and a falsifiable research program, identifying open gaps and proposing concrete directions for future experimental and theoretical tests. This volume emphasizes methodological modesty: compatibility is not proof, but without compatibility, no path forward exists.
WF-S Causal Chain: Logical Roadmap and Audit Trail for the Five-Paper Programme. This document serves as the navigation index for the Wave Favouritism-Substrate (WF-S) programme. It maps the complete logical spine from the founding question — what physically is a measurement? — through to the numerical predictions of particle physics, with every step carrying an explicit epistemic label ([Derived]/[Conditional]/[Open]). The Causal Chain allows a reader to trace any result back to its foundations across the five papers: Paper I: The Born Rule as the Entropy-Uniform Limit of Record Formation — DOI: 10.5281/zenodo.19148893 Paper II: Force Mediation, Mass Generation, and Generation Structure from the LTrion Portal — DOI: 10.5281/zenodo.19511248 Paper III: Emergent Einstein Gravity from LTrion Record Statistics — DOI: 10.5281/zenodo.19511361 Paper IV: Cosmogenesis, Dark Matter, and Vacuum Energy from the Fisher Manifold — DOI: 10.5281/zenodo.19511486 Paper V: The Statistical Manifold of Irreversible Records — DOI: 10.5281/zenodo.19511630 As of v16 (April 2026), the logical spine is complete within stated regimes: every step from the founding question to the CCR, Born rule, Schrödinger equation, Einstein equations, Koide relation, and derivation of ε is [Derived] with no conditional steps remaining in the main chain. Remaining open problems — the lepton phase angle and full nonlinear Einstein equations — are extensions of derived results, not gaps. Kill conditions and falsifiable predictions are listed explicitly, with the Belle II tau mass measurement (mτ to < 0.01 MeV precision) as the primary empirical test. The central claim of the programme is that probability is not fundamental but emergent — that the Born rule is not an axiom but a consequence of what it physically means to form an irreversible record. This programme began with a single question: "what is measurement, really?". What follows is a personal learning journey — an attempt to look at the paradoxes physics has accumulated over the last century through a different lens. The mathematics is offered in good faith. The errors are the author's own, and remain his best opportunities to learn.
The Field That Learns to Look at Itself is Book X of the RCD 2.0 — Radial Coherential Dynamics — program. This English-language volume stands at the intersection of scientific essay, research notebook, philosophy of physics, and methodological audit of an independent research program in development. The book documents a critical stage in the RCD program: the transition from a broad intuition about coherence, time, and the emergence of structure toward a stricter formulation capable of distinguishing between metaphor, evidence, operationalization, hypothesis, prediction, and speculation. It does not present a closed physical theory or a final promise of unification. Its central purpose is to record the moment in which an idea learns to look at itself: to recognize its limits, separate its levels of discourse, and submit its claims to criteria of falsifiability. The central question running through the volume is whether coherence can function as a guiding concept for thinking about the transition between reversible quantum structure — phase, superposition, interference, and measurement — and the appearance of stable records, effective boundaries, ordered time, and macroscopic structure. Throughout the book, several meanings of the word “coherence” are examined, while warning against the risk of treating them as if they named a single physical object. In particular, the book distinguishes strict quantum coherence, GHZ population retention, thermodynamic witnesses, the effective field C, domain formation, operational coupling modulations, and coherence as a guiding idea or philosophical metaphor. This distinction becomes one of the technical and ethical axes of the volume: not everything that shares a word shares the same physics. The book also records an important internal correction of the RCD program: RCD should not derive gravity, spacetime, or fundamental cosmology directly from a late-time effective kernel. Instead, the volume proposes a more sober reading: preserve what has operational support, separate levels of evidence carefully, and keep open only those routes that can be formulated through observables, numerical predictions, and possible tests of refutation. As part of the public RCD record, The Field That Learns to Look at Itself serves a double function. On one hand, it preserves the conceptual and literary dimension of the research: the intuition that coherence, understood rigorously and without equivocation, may offer a way of thinking about the passage from reversible possibility to stable record. On the other hand, it functions as a methodological act: a warning against false confirmation, ambiguous language, improper transfer of evidence between sectors, and the temptation to turn a fertile analogy into an unproven physical identity. This version corresponds to edition 1.0 of Book X in English. It should be read as a companion volume to the Spanish edition and to the public set of RCD preprints, technical notes, and research records deposited on Zenodo, especially those related to quantum coherence, Allen–Cahn/Wright–Fisher effective kernels, operational influence fronts, OTOC, emergence of effective time, and adversarial audit of hypotheses. Work by Arturo Cerezo García, Quantum Benchmark Insights, Naucalpan, Mexico, 2026.
Meta-Analysis — Applied Quantum Computing Track This record presents a unifying meta-analysis of applied benchmarks within the Radial Coherential Dynamics (RCD) research program, synthesizing results across multiple quantum algorithms, system dimensionalities, and problem classes under a single coherence-regulation principle. Building upon the foundational decoherence suppression model (Topological Decoherence Suppression via Coherential Geometry, Zenodo, December 2025, DOI: 10.5281/zenodo.18000641), and its applied benchmarks in variational and optimization algorithms, this work consolidates evidence that a fixed decoherence scaling law T2→T2/αT_2 \rightarrow T_2/\sqrt{\alpha}T2→T2/α (with α≈1.3×10−4\alpha \approx 1.3 \times 10^{-4}α≈1.3×10−4) produces consistent, non-ad-hoc improvements across NISQ-relevant tasks. The meta-analysis integrates four independent benchmarks: (i) VQE for molecular H₄ (0D), (ii) VQE for a graphene-inspired hexagon (2D, PBC), (iii) VQE for a 1D Hubbard chain (OBC), and (iv) QAOA for MaxCut optimization on graphs. All benchmarks employ a controlled A/B methodology in which identical circuits are executed with standard noise (control) and coherence-regulated noise (treatment), with no parameter tuning introduced at the benchmark level. Across these diverse settings, coherence regulation yields stable reductions in energy error (≈ 40–46% for VQE tasks) and optimization gap (≈ 25% for QAOA), with magnitudes consistent with the underlying decoherence scaling and robust to changes in topology, dimensionality, and algorithmic structure. This work does not introduce new physical assumptions or experimental claims. Rather, it provides a consolidated, cross-domain view intended to clarify scope, consistency, and limitations, and to facilitate independent assessment and downstream reuse by the scientific community. All figures, summary data, and benchmark references are provided for transparency and reproducibility.
This document presents version 1.8 of Radial Coherential Dynamics (RCD), providing computational evidence from real-world datasets across cosmology, quantum decoherence, neural synchronization, and gravitational-wave physics. RCD v1.8 evaluates whether the predictions of the master equation ∂C∂r+2rC+λr(1−C)=0\frac{\partial C}{\partial r} + \frac{2}{r}C + \lambda_r (1 - C) = 0∂r∂C+r2C+λr(1−C)=0 match empirical relaxation, suppression, and coherence patterns observed across more than sixty orders of magnitude. This version includes: Updated measurements of the CMB quadrupole (Planck PR4, Cea 2022, Herold 2025). Decoherence times from superconducting cavities (Weizmann 2023; Reagor et al. 2016). Neural synchronization thresholds (HCP, meditation, anesthesia, psychedelic states). Gravitational-wave ringdown values from GW150914. A statistical analysis showing multi-domain agreement with RCD predictions. Reproducible Python code for fitting, regression, and parameter extraction. RCD v1.8 is published under a non-commercial, open-science ethos, with complete transparency and reproducibility. All numerical values and comparisons are derived from publicly available data.