Switch to: References

Add citations

You must login to add citations.
  1. Logic of Gauge.Alexander Afriat - 2019 - In Carlos Lobo & Julien Bernard (eds.), Weyl and the Problem of Space: From Science to Philosophy. Springer Verlag.
    The logic of gauge theory is considered by tracing its development from general relativity to Yang-Mills theory, through Weyl's two gauge theories. A handful of elements---which for want of better terms can be called \emph{geometrical justice}, \emph{matter wave}, \emph{second clock effect}, \emph{twice too many energy levels}---are enough to produce Weyl's second theory; and from there, all that's needed to reach the Yang-Mills formalism is a \emph{non-Abelian structure group} (say $\mathbb{SU}\textrm{(}N\textrm{)}$).
    Download  
     
    Export citation  
     
    Bookmark  
  • Three conceptions of explaining how possibly—and one reductive account.Johannes Persson - 2011 - In Henk W. De Regt, Stephan Hartmann & Samir Okasha (eds.), EPSA Philosophy of Science: Amsterdam 2009. Springer. pp. 275--286.
    Philosophers of science have often favoured reductive approaches to how-possibly explanation. This article identifies three alternative conceptions making how-possibly explanation an interesting phenomenon in its own right. The first variety approaches “how possibly X?” by showing that X is not epistemically impossible. This can sometimes be achieved by removing misunderstandings concerning the implications of one’s current belief system but involves characteristically a modification of this belief system so that acceptance of X does not result in contradiction. The second variety offers (...)
    Download  
     
    Export citation  
     
    Bookmark   8 citations  
  • On gauge symmetries, indiscernibilities, and groupoid-theoretical equalities.Gabriel Catren - 2022 - Studies in History and Philosophy of Science Part A 91 (C):244-261.
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  • Concepts and Objects.Ray Brassier - 2011 - In Levi R. Bryant, Nick Srnicek & Graham Harman (eds.), The Speculative Turn: Continental Materialism and Realism. re.press.
    Download  
     
    Export citation  
     
    Bookmark   17 citations  
  • Wait, Why Gauge?Sébastien Rivat - forthcoming - British Journal for the Philosophy of Science.
    Philosophers of physics have spent much effort unpacking the structure of gauge theories. But surprisingly, little attention has been devoted to the question of why we should require our best theories to be locally gauge invariant in the first place. Drawing on Steven Weinberg's works in the mid-1960s, I argue that the principle of local gauge invariance follows from Lorentz invariance and other natural assumptions in the context of perturbative relativistic quantum field theory. On this view, gauge freedom is a (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  • Conceptual Foundations of Yang–Mills Theories. [REVIEW]Alexandre Guay - 2008 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (3):687-693.
    Essay review of Gauging What’s Real: The Conceptual Foundations of Contemporary Gauge Theories R. Healey. Oxford University Press (2007). To be published in the Studies in History and Philosophy of Modern Physics, 39(3):687-693, 2008.
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  • Fiber bundles, Yang–Mills theory, and general relativity.James Owen Weatherall - 2016 - Synthese 193 (8).
    I articulate and discuss a geometrical interpretation of Yang–Mills theory. Analogies and disanalogies between Yang–Mills theory and general relativity are also considered.
    Download  
     
    Export citation  
     
    Bookmark   22 citations  
  • Quantum Ontology in the Light of Gauge Theories.Gabriel Catren - unknown
    We propose the conjecture according to which the fact that quantum mechanics does not admit sharp value attributions to both members of a complementary pair of observables can be understood in the light of the symplectic reduction of phase space in constrained Hamiltonian systems. In order to unpack this claim, we propose a quantum ontology based on two independent postulates, namely the phase postulate and the quantum postulate. The phase postulate generalizes the gauge correspondence between first-class constraints and gauge transformations (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  • Gauge Pressure. [REVIEW]Dean Rickles, Chris Smeenk, Holger Lyre & Richard Healey - 2009 - Metascience 18 (1):5-41.
    Symposium review of Richard Healey, Gauging What’s Real: The Conceptual Foundations of Contemporary Gauge Theories. Oxford: Oxford University Press, 2007. Pp. 297. $99.00 HB.
    Download  
     
    Export citation  
     
    Bookmark  
  • Weyl’s gauge argument.Alexander Afriat - 2013 - Foundations of Physics 43 (5):699-705.
    The standard $\mathbb{U}(1)$ “gauge principle” or “gauge argument” produces an exact potential A=dλ and a vanishing field F=d 2 λ=0. Weyl (in Z. Phys. 56:330–352, 1929; Rice Inst. Pam. 16:280–295, 1929) has his own gauge argument, which is sketchy, archaic and hard to follow; but at least it produces an inexact potential A and a nonvanishing field F=dA≠0. I attempt a reconstruction.
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  • Shortening the gauge argument.Alexander Afriat - unknown
    The ''gauge argument'' is often used to 'deduce' interactions from a symmetry requirement. A transition---whose justification can take some effort---from global to local transformations is typically made at the beginning of the argument. But one can spare the trouble by \emph{starting} with local transformations, as global ones do not exist in general. The resulting economy seems noteworthy.
    Download  
     
    Export citation  
     
    Bookmark  
  • Quantic fibers for classical systems: an introduction to geometric quantization.Gabriel Catren - 2013 - Scientiae Studia 11 (1):35-74.
    En este artículo, se introducirá el formalismo de cuantificación canónica denominado "cuantificación geométrica". Dado que dicho formalismo permite entender la mecánica cuántica como una extensión geométrica de la mecánica clásica, se identificarán las insuficiencias de esta última resueltas por dicha extensión. Se mostrará luego como la cuantificación geométrica permite explicar algunos de los rasgos distintivos de la mecánica cuántica, como, por ejemplo, la noconmutatividad de los operadores cuánticos y el carácter discreto de los espectros de ciertos operadores. In this article, (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • Klein-Weyl's program and the ontology of gauge and quantum systems.Gabriel Catren - 2018 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 61:25-40.
    Download  
     
    Export citation  
     
    Bookmark   2 citations