5 papers · 1 filter
The Emergence of Time from Quantum Records: Actualization and the Surprisal Clock
Lionel Martellini
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 algebr…
The Physics of Unresolved Uncertainty: Quantum Mechanics as a Theory of Potentiality
Lionel Martellini
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, r…
Quantum arrival times in free fall
Mathieu Beau, Timothey Szczepanski, Rafael Martellini +1
The probability distribution of a time measurement at position can be inferred from the probability distribution of a position measurement at time as given by t…
Time-of-arrival distributions for continuous quantum systems and application to quantum backflow
Mathieu Beau, Maximilien Barbier, Rafael Martellini +1
Using standard results from statistics, we show that for any continuous quantum system (Gaussian or otherwise) and any observable (position or otherwise), the distrib…
On the mutual exclusiveness of time and position in quantum physics and the corresponding uncertainty relation for free falling particles
Mathieu Beau, Lionel Martellini
The uncertainty principle is one of the characteristic properties of quantum theory, where it signals the incompatibility of two types of measurements. In this paper, we argue that…