9 citations · 20 across the 8 of their papers we have counts for
8 papers
Quantum Real numbers and Measurement
John V Corbett
The quantum mechanical measurement problem does not arise in the quantum real number approach to quantum measurements of the first kind. The attributes of individual microscopic sy…
Quantum dynamics is infinitesimal qr-number dynamics
John V Corbett
The Heisenberg equations of motion for a quantum particle of mass are deduced from the infinitesimal qr-number equations of motion for the particle. The infinitesimal qr-number…
A Topos Theory Foundation for Quantum Mechanics
John V Corbett
The theory of quantum mechanics is examined using non-standard real numbers, called quantum real numbers (qr-numbers), that are constructed from standard Hilbert space entities. Ou…
The mathematical structure of quantum real numbers
John V. Corbett
The mathematical structure of the sheaf of Dedekind real numbers $\RsubD(X)$ for a quantum system is discussed. The algebra of physical qualities is represented by an algeb…
Bell's Inequality, Quantum Measurement and Einstein Realism: A Unified Perspective
John V. Corbett, Dipankar Home
The logical foundations of Bell's inequality are reexamined. We argue that the form of the reality condition that underpins Bell's inequality comes from the requirement of solving…
Quantum mechanics as a space-time theory
J. Corbett, T. Durt
We show how quantum mechanics can be understood as a space-time theory provided that its spatial continuum is modelled by a variable real number (qrumber) continuum. Such a continu…