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DOE OSTI Β· 21607973

Dirac equation for membranes

Trzetrzelewski, M
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Abstract

Dirac's idea of taking the square root of constraints is applied to the case of extended objects concentrating on membranes in D=4 space-time dimensions. The resulting equation is Lorentz invariant and predicts an infinite hierarchy of positive and negative masses (tension). There are no tachyonic solutions.

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSDIFFERENTIAL EQUATIONSDIRAC EQUATIONELEMENTARY PARTICLESEQUATIONSFIELD EQUATIONSFOUR-DIMENSIONAL CALCULATIONSINVARIANCE PRINCIPLESLORENTZ INVARIANCEMASSMATHEMATICAL SOLUTIONSMEMBRANESPARTIAL DIFFERENTIAL EQUATIONSPOSTULATED PARTICLESSPACE-TIMETACHYONSWAVE EQUATIONS

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BibTeXRIS

Trzetrzelewski, M. 2011-10-15. Dirac equation for membranes. https://doi.org/10.1103/physrevd.84.087701

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