Establishing the Riemannian structure of space-time by means of light rays and free matter waves

DOI10.1063/1.529181zbMath0736.70010OpenAlexW1974825282WikidataQ115331533 ScholiaQ115331533MaRDI QIDQ3987337

Jürgen Audretsch, Claus Lämmerzahl

Publication date: 28 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529181

zbMATH Keywords

classical limitRiemann spaceconformal structure

Mathematics Subject Classification ID

Hamilton's principle (70H25) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items (9)

Axiomatic Thinking in Physics—Essence or Useless Ornament? ⋮ On the dimensionality of space–time ⋮ A note on the problem of proper time in Weyl space-time ⋮ The Unexpected Resurgence of Weyl Geometry in late 20th-Century Physics ⋮ Establishment of the Riemannian structure of space-time by classical means ⋮ THEORY OF GRAVITATION THEORIES: A NO-PROGRESS REPORT ⋮ Is there a spacetime geometry? ⋮ The conformal structure of space-time in a constructive axiomatics based on elements of quantum mechanics ⋮ Challenges for emergent gravity

Cites Work

• An axiomatic basis of space-time theory. I: Construction of a causal space with coordinates
• Wave fields in Weyl spaces and conditions for the existence of a preferred pseudo-Riemannian structure
• Reasons for a physical field to obey linear partial differential equations
• Constructive axiomatic approach to spacetime torsion

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