Geochronology, Time-Asymmetry and the Foundations of Quantum Mechanics

Asher Peres

Manuel Gadella

We review the mathematical tools that are suitable for a formulation of time asymmetry in quantum mechanics. In particular, Hardy functions on a half plane and rigged Hilbert spaces constructed with a subclass of Hardy functions. This time asymmetry often appears in quantum scattering and, in particular, in resonance scattering. We review the construction of Gamow vectors, often considered Gamow states for resonances. A brief summary of the fundamental ideas of time asymmetric quantum mechanics is presented in a last section.

Marino Dobrowolny

CESAR ARELLANES

Despite their empirical success, the conceptual foundations of time and gravitation remain unsettled. In general relativity, time is treated as a geometric dimension, and gravitation as spacetime curvature sourced by stress-energy, whereas in quantum theory, time appears as an external parameter, and measurement introduces irreversibility without a unified interpretational basis. This paper proposes an interpretational framework in which both time and gravitation are understood as consequences of retained asymmetry produced by irreversible measurement events. Time is interpreted as the ordering induced by retained measurement records, while gravitation is interpreted as the constraint imposed by their density. This framework introduces no new entities or mathematical structures and remains consistent with established results in general relativity and quantum mechanics.Keywords: foundations of physics, measurement theory, foundations of spacetime, time, gravitation, interpretation

H. D. Zeh

Hiroshi Hasegawa, Tomio Yamakoshi Petrosky, Ilya Prigogine +1 more