"A pilot-wave based approach to the problem of time, normalizability and.." by Indrajit Sen скачать в хорошем качестве

"A pilot-wave based approach to the problem of time, normalizability and.." by Indrajit Sen

Title: A pilot-wave based approach to the problem of time, normalizability and unitarity in canonical quantum gravity Abstract: I will discuss perspectives on some key problems in quantum gravity using recent results from a pilot-wave based approach to the Ashtekar formulation of the Wheeler-de Witt equation (based on joint work with Justin Dressel and Stephon Alexander). I will first illustrate several key ideas using pilot-wave account of a holomorphic representation of quantum harmonic oscillator, and then apply these to the interacting fermionic-gravitational system in (Phys. Rev. D 106.10 (2022): 106012). I will show how the notion of a definite configuration in pilot-wave allows us to define a real global time variable and render the total Hamiltonian constraint to the form of a Schrodinger equation without semiclassical approximations. I will then discuss the guidance equation and the reality conditions for the Ashtekar connection in our approach. Lastly, I will generalize the notion of unitarity to non-normalizable states from pilot-wave perspective, and show the existence of unitary states in minisuperspace.