Order:
See also
Philip Goyal
State University of New York, Albany
  1.  59
    Husserl, the mathematization of nature, and the informational reconstruction of quantum theory.Philipp Berghofer, Philip Goyal & Harald Wiltsche - 2020 - Continental Philosophy Review 54 (4):413-436.
    As is well known, the late Husserl warned against the dangers of reifying and objectifying the mathematical models that operate at the heart of our physical theories. Although Husserl’s worries were mainly directed at Galilean physics, the first aim of our paper is to show that many of his critical arguments are no less relevant today. By addressing the formalism and current interpretations of quantum theory, we illustrate how topics surrounding the mathematization of nature come to the fore naturally. Our (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   5 citations  
  2. Derivation of Classical Mechanics in an Energetic Framework via Conservation and Relativity.Philip Goyal - 2020 - Foundations of Physics 1 (11):1426-1479.
    The notions of conservation and relativity lie at the heart of classical mechanics, and were critical to its early development. However, in Newton’s theory of mechanics, these symmetry principles were eclipsed by domain-specific laws. In view of the importance of symmetry principles in elucidating the structure of physical theories, it is natural to ask to what extent conservation and relativity determine the structure of mechanics. In this paper, we address this question by deriving classical mechanics—both nonrelativistic and relativistic—using relativity and (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  3.  22
    Derivation of Classical Mechanics in an Energetic Framework via Conservation and Relativity.Philip Goyal - 2020 - Foundations of Physics 50 (11):1426-1479.
    The notions of conservation and relativity lie at the heart of classical mechanics, and were critical to its early development. However, in Newton’s theory of mechanics, these symmetry principles were eclipsed by domain-specific laws. In view of the importance of symmetry principles in elucidating the structure of physical theories, it is natural to ask to what extent conservation and relativity determine the structure of mechanics. In this paper, we address this question by deriving classical mechanics—both nonrelativistic and relativistic—using relativity and (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  4.  52
    Persistence and Reidentification in Systems of Identical Quantum Particles: Towards a Post-Atomistic Conception of Matter.Philip Goyal - manuscript
    The quantum symmetrization procedure that is used to handle systems of identical quantum particles brings into question whether the elementary constituents of matter, such as electrons, have the fundamental characteristics of persistence and reidentifiability that are attributed to classical particles. However, we presently lack a coherent conception of matter composed of entities that do not possess one or both of these fundamental characteristics. We also lack a clear a priori understanding of why systems of identical particles (as opposed to non-identical (...)
    Direct download  
     
    Export citation  
     
    Bookmark  
  5. Persistence and Nonpersistence as Complementary Models of Identical Quantum Particles.Philip Goyal - 2019 - New Journal of Physics 21.
    According to our understanding of the everyday physical world, observable phenomena are underpinned by persistent objects that can be reidentified across time by observation of their distinctive properties. This understanding is reflected in classical mechanics, which posits that matter consists of persistent, reidentifiable particles. However, the mathematical symmetrization procedures used to describe identical particles within the quantum formalism have led to the widespread belief that identical quantum particles lack either persistence or reidentifiability. However, it has proved difficult to reconcile these (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark