Quantum mechanics does not require the continuity of space

@article{Davies2003QuantumMD,
  title={Quantum mechanics does not require the continuity of space},
  author={E. B. Davies},
  journal={Studies in History and Philosophy of Modern Physics},
  year={2003},
  volume={34},
  pages={319-328}
}
  • E. Davies
  • Published 1 June 2003
  • Physics, Philosophy
  • Studies in History and Philosophy of Modern Physics
Some Remarks on the Foundations of Quantum Theory
  • E. Davies
  • Philosophy, Physics
    The British Journal for the Philosophy of Science
  • 2005
Although many physicists have little interest in philosophical arguments about their subject, an analysis of debates about the paradoxes of quantum mechanics shows that their disagreements often
A Defence of Mathematical Pluralism
We approach the philosophy of mathematics via an analysis of mathematics as it is practised. This leads us to a classification in terms of four concepts, which we define and illustrate with a variety
Pluralism in mathematics
  • E. Davies
  • Mathematics
    Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2005
We defend pluralism in mathematics, and in particular Errett Bishop's constructive approach to mathematics, on pragmatic grounds, avoiding the philosophical issues which have dissuaded many
All Souls College Oxford OX 1 4 AL 5 December 2005 : a shorter version is forthcoming in Proceedings of the 28 th Ludwig Wittgenstein Symposium
This paper forms part of a wider campaign: to deny pointillisme. That is the doctrine that a physical theory’s fundamental quantities are defined at points of space or of spacetime, and represent
Against Pointillisme about Geometry
This paper forms part of a wider campaign: to deny pointillisme. That is the doctrine that a physical theory's fundamental quantities are defined at points of space or of spacetime, and represent

References

SHOWING 1-10 OF 21 REFERENCES
A theory of everything?
In his later years, Einstein sought a unified theory that would extend general relativity and provide an alternative to quantum theory. There is now talk of a ‘theory of everything’ (although
The mathematical foundations of quantum mechanics
Classical mechanics was first envisaged by Newton, formed into a powerful tool by Euler, and brought to perfection by Lagrange and Laplace. It has served as the paradigm of science ever since. Even
Macroscopic observation of a quantum particle in a slowly varying potential
Abstract A nonrelativistic quantum particle moving in a potential and observed on a sufficiently large (macroscopic) space–time scale can be described by means of classical particle trajectories,
Observation of quantum particles on a large space-time scale
A quantum particle observed on a sufficiently large space-time scale can be described by means of classical particle trajectories. The joint distribution for large-scale multiple-time position and
How We Know about Electrons
In 1997 we celebrated the centenary of Thomson’s (1897) ‘Cathode Rays’ that is conveniently taken as marking the discovery of the electron, our first fundamental particle. The electron is not just
Lattice Gas Hydrodynamics
1. Introduction 2. Basic ideas 3. Microdynamics: general formalism 4. Microdynamics: various examples 5. Equilibrium statistical mechanics 6. Macrodynamics: Chapman-Enskog method 7. Linearized
Convention: Poincaré and Some of His Critics
This paper offers an interpretation of Poincaré's conventionalism, distinguishing it from the Duhem–Quine thesis, on the one hand, and, on the other, from the logical positivist understanding of
Analysis on graphs and noncommutative geometry
Abstract We study the form of the continuous time heat kernel for a second order discrete Laplacian on a weighted graph. The analysis is shown to be closely related to the theory of symmetric Markov
Isometric approximation property of unbounded sets
We give a necessary and sufficient quantitative geometric condition for an unbounded set A ⊂ Rn to have the following property with a given c > 0: For every ε ≥ 0 and for every map f: A → Rn such
The Scientific Image
In this book van Fraassen develops an alternative to scientific realism by constructing and evaluating three mutually reinforcing theories.
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