Note on the description of an unstable system

Mikhail Aleksandrovich Braun, K. Urbanowski

S.G. Matinyan, Mark E. Perel’man

Darren Cudd

This note addresses the outcome problem in quantum measurement by identifying outcome singularity as a physical stability condition rather than a probabilistic or observer-driven event. It argues that once quantum coherence is lost, a description containing multiple simultaneous classical outcomes is physically unrealizable because it violates fundamental requirements of classical consistency, information stability, and thermodynamic irreversibility. Drawing on principles from information theory and dynamical systems, the note shows that a single, definite outcome emerges as the only dynamically stable attractor state, while outcome multiplicity represents an unstable, coordination-intensive configuration that cannot persist in a classical regime. No collapse postulate, observer assumption, or modification of quantum mechanics is introduced.

Alfred S. Goldhaber, Kenneth Watson

The theory of sequential decays of an unstable system is studied. Examples include the sequential emission of two or more photons by an excited atom which reaches its ground state via one or more intermediate levels, and the decay of an unstable particle into other unstable particles. To describe these phenomena, a factorization of the Green's function is introduced. This leads to a simple, and intuitively obvious, description of sequential decays. It also makes possible an assessment of the accuracy of this description.

Pavel Exner

Alfred S. Goldhaber, Kenneth Watson

The theory of se~uential decays of an unstable system is studied.Examples include the se~uential emission of two or more photons by an excited atom which reaches its ground state via one or more intermediate leveis} and the decay of an unstable particle into other unstable particles.To describe these phenomena} a factorization of the Green's function is introduced.This leads to a simple} and intuitively obvious} description of se~uential decays.It also makes possible an assessment of the accuracy of this description.