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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
2 de sept. de 2009 · Weyl’s clarification of the role of coordinates, invariance or symmetry principles, his important concept of gauge invariance, his group-theoretic results concerning the uniqueness of the Pythagorean form of the metric, his generalization of Levi-Civita’s concept of parallelism, his development of the geometry of paths, his ...
In physics, a gauge theory is a type of field theory in which the Lagrangian, and hence the dynamics of the system itself, do not change under local transformations according to certain smooth families of operations ( Lie groups ). Formally, the Lagrangian is invariant .
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.
Introduction. 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’.
4 de nov. de 2020 · Dennis Dieks. Part of the book series: Fundamental Theories of Physics ( (FTPH,volume 199)) 915 Accesses. 1 Citations. Abstract. Hermann Weyl connected his epoch-making work on general relativity and gauge theory to his Husserlian views about the phenomenological essence of space and time.
