Quantised De Sitter space and the connection to the Pauli principle

Journal Article · Sun Dec 31 23:00:00 EST 1972 · Int. J. Theor. Phys., v. 8, no. 1, pp. 1-10

DOI:https://doi.org/10.1007/BF00671574· OSTI ID:4376909

Ulmer, W

It is shown that the introduction of a fundamental length l/sub o/ permits the definition of commutator rules between different observanon systems, represented by the Poincare groups. This fact leads to the model of a quantized De Sitter space, and the formulation of a nonlocal quantum field theory is obtained. The Dirac spinors are derived from the invariance of the quadratic form, defining De Sitter groups, and a connection to Pauli's exclusion principle can be understood by the same reason of a quantized space. A description of the structure of elementary particles involves a particular importance of the group SU(3). (auth)

• Research Organization: Univ., Stuttgart
• NSA Number: NSA-29-008852
• OSTI ID: 4376909
• Journal Information: Int. J. Theor. Phys., v. 8, no. 1, pp. 1-10, Journal Name: Int. J. Theor. Phys., v. 8, no. 1, pp. 1-10; ISSN IJTPB
• Country of Publication: United Kingdom
• Language: English

Related Subjects

*DE SITTER GROUP-- PAULI PRINCIPLE
*ELEMENTARY PARTICLES-- PARTICLE STRUCTURE
*QUANTUM FIELD THEORY
COMMUTATORS
DIRAC EQUATION
DISTANCE
INVARIANCE PRINCIPLES
MANY-BODY PROBLEM
MATHEMATICAL SPACE
N64310* --Physics (High Energy)--Particle Invariance Principles & Symmetry--General
N76200 --Physics (Theoretical)--Quantum Field Theories
POINCARE GROUPS
QUANTUM MECHANICS
RELATIVITY THEORY
SPACE
SPIN
SPINORS
SU-3 GROUPS