50 citations · 241 across the 13 of their papers we have counts for
13 papers
Fact-nets: towards a mathematical framework for relational quantum mechanics
Pierre Martin-Dussaud, Titouan Carette, Jan Głowacki +2
The relational interpretation of quantum mechanics (RQM) has received a growing interest since its first formulation in 1996. Usually presented as an interpretational layer over th…
Spin-networks in the ZX-calculus
Richard D. P. East, Pierre Martin-Dussaud, John Van de Wetering
The ZX-calculus, and the variant we consider in this paper (ZXH-calculus), are formal diagrammatic languages for qubit quantum computing. We show that it can also be used to descri…
Causal structure in spin-foams
Eugenio Bianchi, Pierre Martin-Dussaud
The metric field of general relativity is almost fully determined by its causal structure. Yet, in spin-foam models for quantum gravity, the role played by the causal structure is…
The End of a Black Hole's Evaporation -- Part II
Farshid Soltani, Carlo Rovelli, Pierre Martin-Dussaud
We derive an explicit expression for the transition amplitude from black to white hole horizon at the end of Hawking evaporation using covariant loop quantum gravity.
Relational structures of fundamental theories
Pierre Martin-Dussaud
General relativity and quantum mechanics have both revealed the relativity of certain notions that were previously thought to be absolute. I clarify the precise sense in which thes…
Asymptotics of coherent invariant tensors
Pietro Dona, Marco Fanizza, Pierre Martin-Dussaud +1
We study the semiclassical limit of a class of invariant tensors for infinite-dimensional unitary representations of of the principal series, correspond…
Black-to-White Hole Scenario: Foundation and Evaporation
Pierre Martin-Dussaud
A theory of quantum gravity is expected to change profoundly our understanding of black holes. Quantum theory has already shown, as a first approximation, that a black hole slowly…
The End of a Black Hole's Evaporation -- Part I
Fabio D'Ambrosio, Marios Christodoulou, Pierre Martin-Dussaud +2
At the end of Hawking evaporation, the horizon of a black hole enters a physical region where quantum gravity cannot be neglected. The physics of this region has not been much expl…
An experiment to test the discreteness of time
Marios Christodoulou, Andrea Di Biagio, Pierre Martin-Dussaud
Time at the Planck scale () is an unexplored physical regime. It is widely believed that probing Planck time will remain for long an impossible task. Yet…
Evaporating black-to-white hole
Pierre Martin-Dussaud, Carlo Rovelli
We construct and discuss the form of the (effective) spacetime geometry inside a black hole undergoing a quantum transition to a white hole, taking into account the back-reaction o…
A Primer of Group Theory for Loop Quantum Gravity and Spin-foams
Pierre Martin-Dussaud
Calculations in Loop Quantum Gravity (LQG) and spin-foam theory rely heavily on the group theory of SU(2) and SL(2,C). Even though many monographs are devoted to this material, the…
The notion of locality in relational quantum mechanics
Pierre Martin-Dussaud, Carlo Rovelli, Federico Zalamea
The term 'locality' is used in different contexts with different meanings. There have been claims that relational quantum mechanics is local, but it is not clear then how it accoun…
Interior metric and ray-tracing map in the firework black-to-white hole transition
Carlo Rovelli, Pierre Martin-Dussaud
The possibility that a black hole could tunnel into a white hole has recently received attention. Here we present a metric that improves the 'firework' metric: it describes the ent…