Modular conformal scaling group evidenced in lepton-quark mass |
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Authors: | Gerald Rosen |
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Institution: | (1) Department of Physics, Drexel University, 19104 Philadelphia, Pennsylvania;(2) Present address: 415 Charles Lane, 19096 Wynnewood, Pennsylvania |
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Abstract: | Lepton-quark mass may reflect a correspondence in spacetime structure described by a modular conformal scaling group. Stemming
in part from a spacetime line element correspondenceds → (expλ
n)ds in which the eight quantitiesλ
0,λ
1, ...,λ
7 constitute a closed set under a modular addition, the associated formula for lepton-quark mass (yielding values at the 1
GeV scale for the leptons and lighter quarks and at the physical pole for the top) is conjectured to bem=m
fQ2(exp −λ
n), wherem
f=10.245 TeV is the progenitor fermion mass,Q is the charge number of the lepton or quark, and the modular group parameterλ
n is indexed by a fermion principal quantum numbern that depends on three mutually independent projection operators. |
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Keywords: | |
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