Reciprocal relativity of noninertial frames and the quaplectic group

DOI10.1007/s10701-006-9051-2zbMath1134.83301arXivmath-ph/0506031OpenAlexW2091003842MaRDI QIDQ862635

Stephen G. Low

Publication date: 24 January 2007

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

Full work available at URL: https://arxiv.org/abs/math-ph/0506031

zbMATH Keywords

noncommutative geometryHeisenbergmaximal accelerationBorn reciprocitynoninertial

Mathematics Subject Classification ID

Special relativity (83A05) Methods of noncommutative geometry in general relativity (83C65)

Related Items (9)

SOME CONSEQUENCES OF BORN'S RECIPROCAL RELATIVITY IN PHASE-SPACES ⋮ Born reciprocity and the granularity of spacetime ⋮ Born's reciprocal gravity in curved phase-spaces and the cosmological constant ⋮ On superluminal particles and the extended relativity theories ⋮ BORN RECIPROCITY IN TWO DIMENSIONS: QUAPLECTIC GROUP SYMMETRY, BRANCHING RULES AND STATE LABELLING ⋮ Relativity group for noninertial frames in Hamilton’s mechanics ⋮ Projective representations of the inhomogeneous Hamilton group: noninertial symmetry in quantum mechanics ⋮ Maximal quantum mechanical symmetry: Projective representations of the inhomogeneous symplectic group ⋮ A cosmology of a trans-Planckian theory and dark energy

Cites Work

• Quantum field theory on a discrete space and noncommutative geometry
• Harmonic Analysis in Phase Space. (AM-122)
• Reciprocity Theory of Elementary Particles

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