DISCRETE MASS, ELEMENTARY LENGTH, AND A TOPOLOGICAL INVARIANT AS A CONSEQUENCE OF A RELATIVISTIC INVARIANT VARIATIONAL PRINCIPLE

Journal Article · Thu Aug 01 04:00:00 EDT 1963 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.131.1392· OSTI ID:4676346

Enz, U

A nonlinear, Lorentz-invariant action principle is introduced. This variation principle, which deals with an internal'' angular variable theta , is obtained from analogy considerations of moving Bloch walls in magnetic crystals and of elementary particles. In the one-dimensional case the resulting Euler equations can be solved by elementary functions, describing, in the rest system, a spatially extended energy distribution. The total energy, and thus the mass, has a discrete character. An elementary length appears as a parameter of this energy distribution, i.e., as a parameter of the structure. The moving structure undergoes the appropriate Lorentz cortraction. An invariant of topological nature comparable to the invariant of the Mobius strip is furthermore inherent in this structure. This invariant has the symmetry properties of the elementary charge. A solution of the three-dimensional case including an internal rotation seems possible. (auth)

• Research Organization: Originating Research Org. not identified
• NSA Number: NSA-17-031660
• OSTI ID: 4676346
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 131; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

CONFIGURATION
CRYSTALS
DISTRIBUTION
ELECTRIC CHARGES
ELEMENTARY PARTICLES
ENERGY
EQUATIONS
INVARIANCE PRINCIPLE
LORENTZ TRANSFORMATIONS
MAGNETISM
MASS
MATHEMATICS
PHYSICS
RELATIVITY THEORY
ROTATION
SYMMETRY
VARIATIONS