4 papers
Relational Dynamics with Periodic Clocks
Leonardo Chataignier, Philipp A. Hoehn, Maximilian P. E. Lock +1
We discuss a systematic way in which a relational dynamics can be established relative to periodic clocks both in the classical and quantum theories, emphasising the parallels betw…
Origin of time and probability in quantum cosmology
Leonardo Chataignier, Claus Kiefer, Mritunjay Tyagi
We discuss how the classical notions of time and causal structure may emerge together with quantum-mechanical probabilities from a universal quantum state. For this, the process of…
Phase time and Ehrenfest's theorem in relativistic quantum mechanics and quantum gravity
Leonardo Chataignier
We revisit the concept of phase time, which has been previously proposed as a solution to the problem of time in quantum gravity. Concretely, we show how the geometry of configurat…
Relaxation of first-class constraints and the quantization of gauge theories: from "matter without matter" to the reappearance of time in quantum gravity
Roberto Casadio, Leonardo Chataignier, Alexander Yu. Kamenshchik +3
We make a conceptual overview of a particular approach to the initial-value problem in canonical gauge theories. We stress how the first-class phase-space constraints may be relaxe…