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Two Dogmas About Quantum Mechanics
Everett interpretation of quantum mechanics information-theoretic interpretation of quantum mechanics
2008/4/21
We argue that the intractable part of the measurement problem -- the 'big' measurement problem -- is a pseudo-problem that depends for its legitimacy on the acceptance of two dogmas. The first dogma i...
Weyl and von Neumann: Symmetry, Group Theory, and Quantum Mechanics
symmetry groups quantum mechanics structural realism
2008/4/18
In this paper, I shall discuss the heuristic role of symmetry in the mathematical formulation of quantum mechanics. I shall first set out the scene in terms of Bas van Fraassen’s elegant presentation ...
What quantum mechanics describes is discontinuous motion of particles
interpretation of quantum mechanics discontinuous motion
2008/4/18
We present a theory of discontinuous motion of particles in continuous space-time. We show that the simplest nonrelativistic evolution equation of such motion is just the Schroedinger equation in quan...
Why special relativity should not be a template for a fundamental reformulation of quantum mechanics
Clifton-Bub-Halvorson theorem principle vs constructive theories
2008/4/15
In a comparison of the principles of special relativity and of quantum mechanics, the former theory is marked by its relative economy and apparent explanatory simplicity. A number of theorists have th...
Why were two theories (Matrix Mechanics and Wave Mechanics) deemed logically distinct, and yet equivalent, in Quantum Mechanics?
Quantum Mechanics Matrix Mechanics
2008/4/15
A recent rethinking of the early history of Quantum Mechanics deemed the late 1920s agreement on the equivalence of Matrix Mechanics and Wave Mechanics, prompted by Schrödinger’s 1926 proof, a my...
On the nature of continuous physical quantities in classical and quantum mechanics
quantum mechanics physical quantities
2008/4/15
Within the traditional Hilbert space formalism of quantum mechanics, it is not possible to describe a particle as possessing, simultaneously, a sharp position value and a sharp momentum value. Is it p...
Dualistic interpretations attempt to solve the measurement problem of quantum mechanics by postulating the existence of non-physical minds, and by giving a suitable dynamical equation for how these mi...
Modal Interpretations of Quantum Mechanics and Relativity: A Reconsideration
Modal interpretations relativity Lorentz invariance
2008/4/15
Two of the main interpretative problems in quantum mechanics are the so-called measurement problem and the question of the compatibility of quantum mechanics with relativity theory. Modal interpretati...
Measurement Outcomes and Probability in Everettian Quantum Mechanics
Everett interpretation Many worlds
2008/4/15
The decision-theoretic account of probability in the Everett or many-worlds interpretation, advanced by David Deutsch and David Wallace, is shown to be circular. Talk of probability in Everett presume...
Losing energy in classical, relativistic and quantum mechanics.
Zeno supertask conservation laws
2008/4/15
A Zenonian supertask involving an infinite number of colliding balls is considered, under the restriction that the total mass of all the balls is finite. Classical mechanics leads to the conclusion th...
Is Quantum Mechanics An Island in Theoryspace?
quantum computing nonlinear quantum mechanics
2008/4/15
This paper investigates what happens if we change quantum mechanics in several ways. The main results are as follows. First, if we replace the 2-norm by some other p-norm, then there are no nontrivial...
In a recent issue of the British Journal for the Philosophy of Science (2005), P.E. Vermaas claims to have demonstrated that standard quantum mechanics is technologically inadequate in that it violate...
How to Reconcile Modal Interpretations of Quantum Mechanics with Relativity
Quantum mechanics modal interpretations relational properties
2008/4/14
Recent no go theorems by Dickson and Clifton (1998), Arntzenius (1998) and Myrvold (2002) demonstrate that current modal interpretations are incompatible with relativity. In this paper we propose stra...
Holism, Physical Theories and Quantum Mechanics
Quantum Mechanics Physical Theories Holism
2008/4/14
Motivated by the question what it is that makes quantum mechanics a holistic theory (if so), I try to define for general physical theories what we mean by `holism'. For this purpose I propose an epist...
Generating Ontology: From Quantum Mechanics to Quantum Field Theory
quantum field theory particle physics
2008/4/14
Philosophical interpretations of theories generally presuppose that a theory can be presented as a consistent mathematical formulation that is interpreted through models. Algebraic quantum field theor...