Resultado de búsqueda
4 de nov. de 2020 · In this lecture the early history of gauge theory is reviewed, emphasizing especially Hermann Weyl’s seminal contributions of 1918 and 1929. Wolfgang Pauli’s early construction in 1953 of a non-Abelian Kaluza-Klein theory is described in some detail.
- Norbert Straumann
- norbert.straumann@gmail.com
- 2020
- Idealism in The Infinitesimal
- Transcendental Phenomenological Idealism and “Symbolic Construction”
- Transcendental-Phenomenological Origins of Gauge Invariance
- From The “Raumproblem” to Lie Groups and Lie Algebras
Following the apt term of Bernard , Weyl’s transcendental metaphysics is an “idealism in the infinitesimal”. It is a modern descendant of Leibniz’s principle of continuity (“natura non facit saltus”) i.e., that all finite changes are to be comprehended as arising through infinitesimal increments acting in sequence.Footnote 1Its modern mathematical ...
Weyl’s injunction to understand the world from its behavior in the infinitely small is an evidential constraint upon a transcendental idealism according to which objects of knowledge (natural science) are constitutedvia a process Weyl termed “symbolic construction”: Readers of Kant’s Transcendental Dialectic (A647/B675) will recognize the passage a...
We have previously argued that reformulation of Einstein’s general relativity (GR) within a “purely infinitesimal geometry” was largely spurred by his philosophical orientation to transcendental phenomenological idealism . The mandate of RZM “to comprehend the sense and the justification of the posit of reality (Wirklichkeitssetzung)” beginning fr...
In a natural development from his 1918 “purely infinitesimal” reformulation of general relativity, Weyl turned to the new “space problem” posed by the variably curved manifolds permitted in Einstein’s theory. In the late 1860s, Helmholtz had characterized the geometry of “space” by a set of conditions termed “free mobility” whereby geometrical quan...
- Thomas Ryckman
- tryckman@stanford.edu
- 2020
In 1918, he introduced the notion of gauge, and gave the first example of what is now known as a gauge theory. Weyl's gauge theory was an unsuccessful attempt to model the electromagnetic field and the gravitational field as geometrical properties of spacetime.
2 de sept. de 2009 · Hermann Weyl was a great and versatile mathematician of the 20 th century. His work had a vast range, encompassing analysis, algebra, number theory, topology, differential geometry, spacetime theory, quantum mechanics, and the foundations of mathematics.
Most readers of this volume will know that the ancestry of gauge field theories extends back to Hermann Weyl's 1918 theory of ‘gravitation and electricity’. Since papers of Yang and others in the 1970s recovered this lineage from obscurity, considerable interest has been shown, and a few years ago a new English translation of Weyl's ...
- T. A. Ryckman
- 2003
Gauge invariance is the basis of the modern theory of electroweak and strong interactions (the so called Standard Model). The roots of gauge invariance go back to the year 1820 when electromagnetism was discovered and the first electrodynamic theory was proposed.
Hermann Weyl’s Space-Time Geometry and the Origin of Gauge Theory 100 Years Ago. Authors: Norbert Straumann. University of Zurich. Request full-text. Abstract. One of the major developments...