Subscribe to the gold package and get unlimited access to Shamra Academy
Register a new userTheoretical Equivalence in Physics
99
0
0.0
(
0
)
Authors
James Owen Weatherall
Ask ChatGPT about the research
No Arabic abstract
I review the philosophical literature on the question of when two physical theories are equivalent. This includes a discussion of empirical equivalence, which is often taken to be necessary, and sometimes taken to be sufficient, for theoretical equivalence; and interpretational equivalence, which is the idea that two theories are equivalent just in case they have the same interpretation. It also includes a discussion of several formal notions of equivalence that have been considered in the recent philosophical literature, including (generalized) definitional equivalence and categorical equivalence. The article concludes with a brief discussion of the relationship between equivalence and duality.
rate research
Read More
This text offers reminiscences of my personal interactions with Roman Jackiw as a way of looking back at the very fertile period in theoretical physics in the last quarter of the 20th century.
In this paper I bring the recent philosophical literature on theoretical equivalence to bear on dualities in physics. Focusing on electromagnetic duality, which is a simple example of S-duality in string theory, I will show that the duality fits naturally into at least one framework for assessing equivalence---that of categorical equivalence---but that it fails to meet a necessary condition for equivalence on that account. The reason is that the duality does not preserve empirical content in the required sense; instead, it takes models to models with dual empirical content. I conclude by discussing how one might react to this.
In recent years philosophers of science have explored categorical equivalence as a promising criterion for when two (physical) theories are equivalent. On the one hand, philosophers have presented several examples of theories whose relationships seem to be clarified using these categorical methods. On the other hand, philosophers and logicians have studied the relationships, particularly in the first order case, between categorical equivalence and other notions of equivalence of theories, including definitional equivalence and generalized definitional (aka Morita) equivalence. In this article, I will express some skepticism about this approach, both on technical grounds and conceptual ones. I will argue that category structure (alone) likely does not capture the structure of a theory, and discuss some recent work in light of this claim.
These lecture notes were presented by Allan N. Kaufman in his graduate plasma theory course and a follow-on special topics course (Physics 242A, B, C and Physics 250 at the University of California Berkeley). The notes follow the order of the lectures. The equations and derivations are as Kaufman presented, but the text is a reconstruction of Kaufmans discussion and commentary. The notes were transcribed by Bruce I. Cohen in 1971 and 1972, and word-processed, edited, and illustrations added by Cohen in 2017 and 2018. The series of lectures are divided into four major parts: (1) collisionless Vlasov plasmas (linear theory of waves and instabilities with and without an applied magnetic field, Vlasov-Poisson and Vlasov-Maxwell systems, WKBJ eikonal theory of wave propagation); (2) nonlinear Vlasov plasmas and miscellaneous topics (the plasma dispersion function, singular solutions of the Vlasov-Poisson system, pulse-response solutions for initial-value problems, Gardiners stability theorem, gyroresonant effects, nonlinear waves, particle trapping in waves, quasi-linear theory, nonlinear three-wave interactions); (3) plasma collisional and discreteness phenomena (test-particle theory of dynamic friction and wave emission, classical resistivity, extension of test-particle theory to many-particle phenomena and the derivation of the Boltzmann and Lenard-Balescu equations, the Fokker-Planck collision operator, a general scattering theory, nonlinear Landau damping, radiation transport, and Duprees theory of clumps); (4) nonuniform plasmas (adiabatic invariance, guiding center drifts, hydromagnetic theory, introduction to drift-wave stability theory).
Work of Lev Landau had a profound impact on the physics in 20th century. Landau had created the paradigms that had framed the conversations on the outstanding problems in physics for decades. He has laid the foundations for our understanding of quantum matter such as superfluidity, superconductivity and the theory of Fermi Liquid. Here we present sampled Nobel Archive data on the winning nomination that led to the Nobel Prize in Physics in 1962.
Log in to be able to interact and post comments
comments
Fetching comments
Sign in to be able to follow your search criteria
