A Calculable Model in One, Two, and Three Spatial Dimensions This preprint develops a first calculable basis for the treatment of records and feedback in probabilistic presentism. It introduces the V3 reconstruction through an explicit quantum model, retaining potentialities through the joint quantum state while removing an additional scalar degree of actualization. Model and contribution A propagating excitation couples locally to a two-state memory. The resulting record remains readable over a declared finite interval. A fixed reflector returns the excitation, and interventions on the memory affect its later field evolution. A sufficient storage bound follows from occupation of the interaction region. The same scalar lattice law is implemented in one, two and three spatial dimensions. Reproducibility The accompanying archive contains the simulation programs, 24 reference runs, 12 step/domain comparisons, four calculated figures, independent solver checks, storage-bound counter-tests, spatial-snapshot audits and instructions. The reference batch was reproduced from an extracted package in the recorded environment. A CPU is sufficient; no GPU dependency is required. Scope Quantum dynamics, Born probabilities and the terminal reading instrument are adopted. The results establish properties of the declared finite model. Physical outcome selection, emergent duration relations, gravity, continuum Maxwell electrodynamics and experimental discrimination of the ontology remain open. This is a partial calculable formulation of the presentist programme. Related publications and provenance Main V2: French original, 10 January 2026, 10.5281/zenodo.18207811; English translation 2.0-en, 9 September 2026, 10.5281/zenodo.22675807. Wave-particle duality: French original, 28 January 2026, 10.5281/zenodo.18404150; English translation 1.0-en, 9 September 2026, 10.5281/zenodo.22677490. Feedback loops: French original, 4 September 2026, 10.5281/zenodo.22307131; English translation 1.0-en, 9 September 2026, 10.5281/zenodo.22678920. Files and licenses The PDF contains the illustrated article. The ZIP contains the manuscript source, PDF, programs, figures, data, audits, instructions and license notices. Text, figures and data are licensed under CC BY 4.0; software source is licensed under MIT. These licenses apply to the respective components described in LICENSES.md. Author: Alexandre Leroy. Affiliation: LA RESIDENCE Développement. Independent research in theoretical physics and the philosophy of time. Contact: a.leroy.research@gmail.com.
A Calculable Model in One, Two, and Three Spatial Dimensions This preprint develops a first calculable basis for the treatment of records and feedback in probabilistic presentism. It introduces the V3 reconstruction through an explicit quantum model, retaining potentialities through the joint quantum state while removing an additional scalar degree of actualization. Model and contribution A propagating excitation couples locally to a two-state memory. The resulting record remains readable over a declared finite interval. A fixed reflector returns the excitation, and interventions on the memory affect its later field evolution. A sufficient storage bound follows from occupation of the interaction region. The same scalar lattice law is implemented in one, two and three spatial dimensions. Reproducibility The accompanying archive contains the simulation programs, 24 reference runs, 12 step/domain comparisons, four calculated figures, independent solver checks, storage-bound counter-tests, spatial-snapshot audits and instructions. The reference batch was reproduced from an extracted package in the recorded environment. A CPU is sufficient; no GPU dependency is required. Scope Quantum dynamics, Born probabilities and the terminal reading instrument are adopted. The results establish properties of the declared finite model. Physical outcome selection, emergent duration relations, gravity, continuum Maxwell electrodynamics and experimental discrimination of the ontology remain open. This is a partial calculable formulation of the presentist programme. Related publications and provenance Main V2: French original, 10 January 2026, 10.5281/zenodo.18207811; English translation 2.0-en, 9 September 2026, 10.5281/zenodo.22675807. Wave-particle duality: French original, 28 January 2026, 10.5281/zenodo.18404150; English translation 1.0-en, 9 September 2026, 10.5281/zenodo.22677490. Feedback loops: French original, 4 September 2026, 10.5281/zenodo.22307131; English translation 1.0-en, 9 September 2026, 10.5281/zenodo.22678920. Files and licenses The PDF contains the illustrated article. The ZIP contains the manuscript source, PDF, programs, figures, data, audits, instructions and license notices. Text, figures and data are licensed under CC BY 4.0; software source is licensed under MIT. These licenses apply to the respective components described in LICENSES.md. Author: Alexandre Leroy. Affiliation: LA RESIDENCE Développement. Independent research in theoretical physics and the philosophy of time. Contact: a.leroy.research@gmail.com.
Overview This deposit contains version 1.0-en of Feedback Loops and Actualization: Memory, Context, and Reshaping the Field of Possibilities in Probabilistic Presentism, a faithful English translation of the published French version 1.0 (4 September 2026). Objective The paper proposes a conceptual formalization of feedback loops within probabilistic presentism. Feedback is not treated as a return from the future to the past, but as a local dynamics of the present: actualized facts leave present traces, these traces modify the local context, and that context reshapes the field of possibilities for subsequent actualizations. Formal proposal The enriched local present is represented by Fn(x)=(sn(x), Mn(x), Cn(x), πn(x)). The scalar π measures a local degree of canalization; it is distinct from the operational kernel K, which carries the detailed distribution and direction of accessible transitions. The minimal loop is sn → A → sn+1 → T → Mn+1 → G → Cn+1 → R → πn+1 → A → sn+2. The proposed relation Θ=f(π) requires calibration before a change in π can receive an identifiable temporal interpretation. Safeguards and limits Feedback is distinguished from retrocausality: the past acts only through traces presently inscribed. An anticipated future does not act; anticipation is a present model of possible futures. The proposal assumes no signalling to the past and no global present, and retains the thermodynamic constraints on memory. The operators A, T, G and R do not yet constitute a complete covariant physical dynamics, and no quantitative law for π is claimed. Status This is a conceptual and programmatic preprint. It proposes a minimal grammar of feedback loops within probabilistic presentism without claiming to provide a complete quantitative theory of dynamical systems, cognition, or quantum measurement. Related works French source, version 1.0: 10.5281/zenodo.22307131 Main preprint: 10.5281/zenodo.18207811 Wave-particle duality and delayed choice: 10.5281/zenodo.18404150 Proper and ontological time: 10.5281/zenodo.22306324 Translation fidelity The English edition preserves all 322 content blocks, 79 headings, 209 mathematical expressions, 14 URLs, numbers, tables, qualifications, appendices and references of the authoritative French source. All 24 rendered pages were visually reviewed.
This deposit contains the complete English translation of v1 (28 January 2026) of the preprint “Dualité onde-corpuscule, choix retardé et présentisme probabiliste”. Published French source and related work Published French v1: Zenodo 18404150 — DOI: 10.5281/zenodo.18404150 Concept DOI for the French work: 10.5281/zenodo.18404149 Reference preprint on probabilistic presentism: 10.5281/zenodo.18207811 Scope. Wave–particle duality and delayed-choice experiments are often presented as if present choices could rewrite the past. This article develops an alternative reading within probabilistic presentism: only the present exists ontologically, while the future corresponds to a structured space of possibilities. Central distinction. The wave aspect describes a coherent structure of possibilities before actualization; the particle aspect describes a present fact in the form of a localized event. The “late choice” fixes the experimental context in which a fact becomes defined; it does not retroactively alter an already factual past. Experiments and constraints. The discussion covers Born's rule, interference, which-path information, decoherence, outcome uniqueness, no-signalling, the double slit, Wheeler's delayed choice, delayed-choice quantum erasers, and EPR/Bell correlations. Conditional interference patterns are treated as post-selected correlations and not as signals sent into the past. Status. This is a conceptual and exploratory preprint. Interpretive claims are identified as such, and the framework is not presented as an experimentally validated replacement for quantum mechanics. Translation fidelity. This English edition is a translation, not a revised scientific version. It preserves the argumentative structure, equations, references, links, limitations, and epistemic qualifications of the published French v1.
This deposit contains the complete English translation of v1.1 (4 September 2026) of the preprint “Temps propre et temps ontologique : densité de devenir et champ des possibles dans le présentisme probabiliste”. Published French source and related work Published French v1.1: Zenodo 22306324 — DOI: 10.5281/zenodo.22306324 Concept DOI for the French work: 10.5281/zenodo.20764379 Reference preprint on probabilistic presentism: 10.5281/zenodo.18207811 Related preprint on wave–particle duality and delayed choice: 10.5281/zenodo.18404150 Scope. This preprint distinguishes coordinate time, relativistic proper time, and ontological time understood as a cumulative measure of locally consolidated becoming. Formal proposal. It introduces the local consolidation density Θ = dτont/dτ and relates it, as a working hypothesis, to the field of possibilities π through Θ = f(π). Coordinate time t remains descriptive, proper time τ remains the duration measured by clocks, and ontological time τont denotes accumulated becoming. Safeguards and limits. The proposal does not replace relativistic proper time, treat Θ as a metric factor, introduce a global simultaneity, derive the limiting speed c from the actualization rate, or claim a complete covariant dynamics. The relation Θ = f(π) remains a hypothesis whose separate empirical identifiability is not yet established. Status. This is a conceptual and exploratory preprint. Interpretive claims are identified as such, and the framework is not presented as an experimentally validated replacement for relativity or quantum mechanics. Translation fidelity. This English edition is a translation, not a revised scientific version. It preserves the 333 content blocks, 79 headings, 324 mathematical expressions, 10 URLs, references, appendices, limitations, and epistemic qualifications of the published French v1.1.
A durable quantum record, the location of its coherence, and a uniquely actual outcome are different physical questions. We study their separation in a supplied finite-dimensional quantum theory. An explicit, time-independent apparatus couples a system–detector encoding to a controller, a distinct archive, and a finite returning source. A conditional energy penalty suppresses release of the original record without deleting its return coupling. An invariant reduction and a one-sided spectral-gap estimate yield a certified interval with archive occupation above 0.98438, controller-latched occupation above 0.99161, and filled-but-unlatched weight below 2.402 × 10^-7 in one stated design. The same record statistics admit different source-label overlaps and hence different coherence on a specified retained boundary. A conserved product of complementary exchanges accesses that coherence when the finite source is included. Given a calibrated multiregister reader, its finite-duration response separates the coherent apparatus from an independently added archive-gated reduction law, with the added process left active during readout. A conservative example retains a response gap above 0.01717 after separately stipulated one-percent error allowances. The contribution is the finite construction and its quantitative retention, access, and readout interfaces. Quantum carriers, Hamiltonian couplings, trace readout, source preparation, and the reader are supplied; local reader synthesis, empirical calibration, absolute rate selection, and unique-event actualization are not established. Paper code: CFQR-P1 (Complementarity-First Quantum Records — Paper 1). The associated bundle contains the technical supplement, editable LaTeX, numerical checking programs and rational certificates, and selected Lean sources with returned build and axiom-audit evidence. The 39 supporting declarations are partially formalized; eleven recorded type excerpts contain printing elisions. This is not end-to-end formalization, external human peer review, an experimental detection of fundamental collapse, or a derivation of unique-event actualization. Author-owned manuscripts, documentation and mathematical data are CC BY 4.0; author-owned software is MIT, subject to the bundle’s licence map and third-party notices.
STATUS (18 October 2026). The physics programme that motivated this work was concluded in October 2026 and its claim of a unified derivation withdrawn. The results in this paper do not depend on that programme and stand as stated. Can an exact account of recorded events also determine what happens next? We examine this question in a finite quantum model with 48 preparations and an apparatus with ten distinguishable outcomes. Two reversible evolution rules reproduce exactly the same first-use specification but predict different results when the apparatus is used again. A separate example fixes one evolution rule: two possible histories then have identical counts of reads, commits and service events, yet different probabilities for the next outcome. Counts alone are therefore insufficient for prediction in this model. What remains visible depends on the observation. At eight preparations, even the complete individual-read distributions agree between the two rules, while correlations between the reads distinguish them. We classify two explicitly specified families of observations and determine exact ranges for the simpler family, showing both how distinctions are lost and how they can survive. The results separate event accounting, the choice of evolution, retained memory and the conversion of records into measured responses. They are conditional finite-model results, not a derivation of a physical dynamics or a measured coupling. The contribution is a set of exact counterexamples and classifications, rather than new principles of quantum theory. Exact computations and explicit proofs identify the additional response, weighting and sampling choices that a predictive physical interpretation must supply. Version 0.2 incorporates corrections following an author-requested preprint review. The deposit supplies the PDF, editable LaTeX with three TikZ figures, bibliography, exact fixture data for 96 two-read processes over 48 preparations, and a portable Python/SymPy verifier. The revised verifier passes 2,926 exact assertions. These are conditional finite-model results; no physical law, bridge, weighting or sampling measure is selected. The unchanged historical audit sources are available in a separately linked companion archive. Frozen audit sources and INT99 result dossier: https://doi.org/10.5281/zenodo.22541080.
This theoretical and computational preprint integrates standard QND measurement and posterior-martingale results with finite-confidence decisions and physically retained observer records. Under a declared quantum instrument and its standard outcome probabilities, the posterior is a bounded martingale on an increasing observation filtration. A precise sufficient identification condition yields asymptotic terminal weights; a binary Gaussian benchmark gives exact mean stopping times, finite-threshold latch probabilities, and a controlled population-transfer bias bound. Version 2.3 is the first public release. It distinguishes accumulated observations from lossy current memory; assumed Born/instrument probabilities from derived consistency results; expected entropy from pathwise ambiguity; continuous confidence endpoints from discrete overshoot and unresolved runs; and Kramers first escape from endpoint readout error. It also clarifies the conditional D18/D19 persistence-selector interface and the separate D1092 finite-resource ledger, with direct attribution to established QND convergence and filtering literature. The companion archive includes the editable manuscript, PDF, equation sources, a fixed validation protocol, executable independent checks, numerical results, a revision ledger, and unchanged historical inputs. Historical simulation summaries are explicitly distinguished from new executions; some older executable sources were unavailable. The new audit includes exact finite-kernel and stopped-posterior checks, Gaussian likelihood-mixture calculations, five neutral and four population-transfer boundary-value cases, and retention/accounting controls. All examples are analytic or synthetic. No laboratory measurements, independent Born-rule derivation, measurement-problem solution, universal physical selector, or new empirical anchor are claimed.