Time as a geometric concept involving angular relations in classical mechanics and quantum mechanics

DOI10.1007/S10701-010-9479-2zbMath1206.81010OpenAlexW1964294127MaRDI QIDQ618799

Juan Eduardo Reluz Machicote

Publication date: 17 January 2011

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

Full work available at URL: https://doi.org/10.1007/s10701-010-9479-2

zbMATH Keywords

field in the four-dimensional timeLagrangian with the four-dimensional timemechanics in the four-dimensional timespecial relativity in the four-dimensional timetime as a quaterniontime in quantum mechanics

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Special relativity (83A05) Axiomatics, foundations (70A05)

Related Items (2)

Algebra of complex vectors and applications in electromagnetic theory and quantum mechanics ⋮ Complex vector formalism of harmonic oscillator in geometric algebra: particle mass, spin and dynamics in complex vector space

Cites Work

• Quaternionic analysis
• The Quaternion Calculus
• The Large Scale Structure of Space-Time
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