Weekly Seminar
HEPCo Group
General Quantum Mechanics; a program for the resolution of the main issues in quantum theory, as a reconciliation of classical mechanics over phase space, general relativity and quantum mechanics.
HEPCo Group
General Quantum Mechanics; a program for the resolution of the main issues in quantum theory, as a reconciliation of classical mechanics over phase space, general relativity and quantum mechanics.
S.E. Akrami Sanzigh, University of Semnan
23 APR 2024
14:00 - 15:00
Date and time
Tuesday, April 23rd, 2024 (Ordibehesht 4th, 1403), 2:00 pm (Tehran zone)
Please note it is a hybrid meeting.
Link
https://www.skyroom.online/ch/schoolofphysics/highenergyseminar
Abstract
General relativity is over the configuration space and is a Lagrangian mechanics. While quantum mechanics is quantization of classical mechanics over phase space which is a Hamiltonian mechanics. Thus it is difficult to reconciliate these two theories. Therefore, we first reestablish general relativity over phase space of spacetime and then combine it with quantum mechanics and the result is a new mechanics called general quantum mechanics.
In general relativity, the acceleration of a test particle is defined relative to the metric of spacetime while in classical mechanics over phase space the metric has no role in the acceleration. Also in classical mechanics over phase space the measurement of a given observable has no role in the acceleration of a test particle unlike quantum mechanics which obeys Born rule which states that how the measurement makes an impact on the acceleration of the test particle. We reconciliate general relativity with classical mechanics over phase space and quantum mechanics by defining the acceleration of a test particle over phase space relative to the metric of phase space and also relative to a given observable. In general quantum mechanics, we have an equation for the collapse phenomenon which is the counterpart of geodesic equation in general relativity. The collapse equation is a nonlinear modification of the linear Schrödinger equation. We also have an equation for the metric of phase space which is the counterpart of the Einstein field equation and is obtained by the least action principle over an action functional which is similar to the Hilbert action for the Einstein field equation. Namely, the Lagrangian of the action is a new type of curvature different than the Riemann curvature. As a result, we have a proposal for the resolution of the measurement problem in quantum mechanics.
Link: https://www.skyroom.online/ch/schoolofphysics/highenergyseminar