Proper Time and Ontological Time: Density of Becoming and the Field of Possibilities in Probabilistic Presentism

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.