Philosophical Alternatives 22 (1):67-77 (2013)
AbstractNon-commuting quantities and hidden parameters – Wave-corpuscular dualism and hidden parameters – Local or nonlocal hidden parameters – Phase space in quantum mechanics – Weyl, Wigner, and Moyal – Von Neumann’s theorem about the absence of hidden parameters in quantum mechanics and Hermann – Bell’s objection – Quantum-mechanical and mathematical incommeasurability – Kochen – Specker’s idea about their equivalence – The notion of partial algebra – Embeddability of a qubit into a bit – Quantum computer is not Turing machine – Is continuality universal? – Diffeomorphism and velocity – Einstein’s general principle of relativity – „Mach’s principle“ – The Skolemian relativity of the discrete and the continuous – The counterexample in § 6 of their paper – About the classical tautology which is untrue being replaced by the statements about commeasurable quantum-mechanical quantities – Logical hidden parameters – The undecidability of the hypothesis about hidden parameters – Wigner’s work and и Weyl’s previous one – Lie groups, representations, and psi-function – From a qualitative to a quantitative expression of relativity − psi-function, or the discrete by the random – Bartlett’s approach − psi-function as the characteristic function of random quantity – Discrete and/ or continual description – Quantity and its “digitalized projection“ – The idea of „velocity−probability“ – The notion of probability and the light speed postulate – Generalized probability and its physical interpretation – A quantum description of macro-world – The period of the as-sociated de Broglie wave and the length of now – Causality equivalently replaced by chance – The philosophy of quantum information and religion – Einstein’s thesis about “the consubstantiality of inertia ant weight“ – Again about the interpretation of complex velocity – The speed of time – Newton’s law of inertia and Lagrange’s formulation of mechanics – Force and effect – The theory of tachyons and general relativity – Riesz’s representation theorem – The notion of covariant world line – Encoding a world line by psi-function – Spacetime and qubit − psi-function by qubits – About the physical interpretation of both the complex axes of a qubit – The interpretation of the self-adjoint operators components – The world line of an arbitrary quantity – The invariance of the physical laws towards quantum object and apparatus – Hilbert space and that of Minkowski – The relationship between the coefficients of -function and the qubits – World line = psi-function + self-adjoint operator – Reality and description – Does a „curved“ Hilbert space exist? – The axiom of choice, or when is possible a flattening of Hilbert space? – But why not to flatten also pseudo-Riemannian space? – The commutator of conjugate quantities – Relative mass – The strokes of self-movement and its philosophical interpretation – The self-perfection of the universe – The generalization of quantity in quantum physics – An analogy of the Feynman formalism – Feynman and many-world interpretation – The psi-function of various objects – Countable and uncountable basis – Generalized continuum and arithmetization – Field and entanglement – Function as coding – The idea of „curved“ Descartes product – The environment of a function – Another view to the notion of velocity-probability – Reality and description – Hilbert space as a model both of object and description – The notion of holistic logic – Physical quantity as the information about it – Cross-temporal correlations – The forecasting of future – Description in separable and inseparable Hilbert space – „Forces“ or „miracles“ – Velocity or time – The notion of non-finite set – Dasein or Dazeit – The trajectory of the whole – Ontological and onto-theological difference – An analogy of the Feynman and many-world interpretation − psi-function as physical quantity – Things in the world and instances in time – The generation of the physi-cal by mathematical – The generalized notion of observer – Subjective or objective probability – Energy as the change of probability per the unite of time – The generalized principle of least action from a new view-point – The exception of two dimensions and Fermat’s last theorem
Similar books and articles
Kochen-Specker Theorem, Physical Invariance and Quantum Individuality.Christian de Ronde & Cesar Massri - unknown
The Kochen - Specker theorem in quantum mechanics: a philosophical comment (part 2).Vasil Penchev - 2013 - Philosophical Alternatives 22 (3):74-83.
Negative and complex probability in quantum information.Vasil Penchev - 2012 - Philosophical Alternatives 21 (1):63-77.
What is Quantum Mechanics? A Minimal Formulation.R. Friedberg & P. C. Hohenberg - 2018 - Foundations of Physics 48 (3):295-332.
Contextualism and Nonlocality in Quantum Mechanics.Michael William Kernaghan - 1995 - Dissertation, The University of Western Ontario (Canada)
An Axiomatic Basis for Quantum Mechanics.Gianni Cassinelli & Pekka Lahti - 2016 - Foundations of Physics 46 (10):1341-1373.
Towards a Constructive Foundation of Quantum Mechanics.Walter Smilga - 2017 - Foundations of Physics 47 (1):149-159.
A topos perspective on the kochen-Specker theorem: I. Quantum states as generalised valuations.Chris Isham & Jeremy Butterfield - unknown
Observables have No Value: A no-go Theorem for Position and Momentum Observables. [REVIEW]Alberto C. de la Torre - 2007 - Foundations of Physics 37 (8):1243-1252.
A hidden measurement representation for quantum entities described by finite-dimensional complex Hilbert spaces.Bob Coecke - 1995 - Foundations of Physics 25 (8):1185-1208.
Added to PP
Historical graph of downloads