Mathematics – Mathematical Physics
Scientific paper
Apr 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980nciml..27..454e&link_type=abstract
(University of Georgia, Workshop in Mathematical Physics, Athens, Ga., Nov. 26-28, 1979.) Nuovo Cimento, Lettere, Serie 2, vol.
Mathematics
Mathematical Physics
1
Gravitation Theory, Particle Motion, Solitary Waves, Particle Mass, Plane Waves, Quantum Theory, Wave Functions
Scientific paper
The paper examines analytically whether one can construct a model theory which in order of magnitude accounts for the interconnection of a fundamental particle mass with Planck's constant and Newton's constant of gravitation. In conventional quantum theory, free particles are presented by plane waves subject to standard box normalization. A solitary-wave solution in nonrelativistic approximation is obtained: the shape of the wave does not disperse, and the particles remain localized within the range of the gravitational field; furthermore, since the solution is square-integrable, box normalization is no longer required. The model presented is not in line with general relativity.
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