12 citations · 26 across the 14 of their papers we have counts for
15 papers
A Formal Theory for Finite-Dimensional Possibilistic Quantum Mechanics
Olivier Brunet
In this work, we present a logical formalism for reasoning about quantum systems in finite dimension. Contrary to the usual approach in quantum logic, our formalism is based classi…
A Purely Algebraic Summation Method
Olivier Brunet
It is mathematical folklore that 1 + 2 + 3 + 4 + ... = --1/12. This result is usually achieved using elaborate analytical methods, such as zeta function regularization or Ramanujan…
Geometric Properties of Paths in Relativistic Lagrangian Mechanics
Olivier Brunet
Considering an extension of the principle of covarience to the action along a path in relativistic Lagrangian mechanics, we motivate the use of geometric -- i.e. covariant and para…
Geometric Time and Causal Time in Relativistic Lagrangian Mechanics
Olivier Brunet
In this article, we argue that two distinct types of time should be taken into account in relativistic physics: a geometric time, which emanates from the structure of spacetime and…
On the Possibility of Quantum Circuits Part I: the Epistemic Level
Olivier Brunet
We present a formulation of quantum circuits where the focus is set on whether a given circuit (made of unitary operators and projective measurements with definite outcomes) does r…
Quantum Measurements from a Logical Point of View
Olivier Brunet
We introduce a logic modelling some aspects of the behaviour of the measurement process, in such a way that no direct mention of quantum states is made, thus avoiding the problems…