Author

Lionel Martellini

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Preprint Jul 2026

The Emergence of Time from Quantum Records: Actualization and the Surprisal Clock

We develop a record-based account of internal time in quantum mechanics. Persistent records first define an ordinal chronology through inclusion of their accumulated Boolean algebras. On a specified record filtration, we prove that, under three minimal consistency requirements, namely dependence only on conditional Bor...

Lionel Martellini · 1 citation

Preprint Jul 2026

The Physics of Unresolved Uncertainty: Quantum Mechanics as a Theory of Potentiality

We propose a reformulation of quantum mechanics as a theory of unresolved uncertainty. This theory of potentiality is formulated in the language of complex-valued measure theory, regarded as a pre-probabilistic counterpart of ordinary probability theory. In this formulation, additivity, conditioning, independence, mixt...

Lionel Martellini · 1 citation