Mathematical Principles of Theoretical Physics

(Rick Simeone) #1

504 INDEX


the Universe
age of, 457
geometric structure of, 458
topological structure, 458
theory of dark matter and dark energy,
471
thermal expansion force, 415
TOV metric, 397 , 400 , 403


U


unification
the Einstein, 183
based on PID, PRI and PSB, 184
unified field model, 200
coupling matter fields, 385
unified field theory, 179
decoupling of the, 209


V


variable star, 413
variation with divA-free constraint, 144 ,
150 , 152
variational principle, 144
vector bundle, 113
connection on a, 119
covariant derivative on a, 119
linear transformations on, 116
vector photon, 314
Vierbein tensor, 188
viscous friction, 415


W


wave function, 332
weak charge, 180
weak decay, 304
weak force, 180 , 218 , 234
layered formulas, 236
weak force potential, 207
weak interacting decay, 303


weak interaction, 14 , 181
duality of the, 218
field equations for the, 217
theory, 234
weak interaction potential, 234
weak magnetic potential, 207
weak solution, 133
weakly differentiable functions, 123
weakton black hole, 439
weakton color algebra, 320
weakton confinement, 295
weakton constituents, 294
weakton exchange
between leptons and mediators, 301
between quarks and mediators, 302
in mediators, 300
weakton interaction potential, 437
weakton model, 287
weakton number, 302
Weyl asymptotic relation, 171
Weyl equations, 57 , 335
Hamiltonian system for, 102
Weyl operator
spectrum of, 174
white dwarf, 414
Wilson Microwave Anisotropy Probe
WMAP, 463
Wilson, R., 465
WMAP
Wilson Microwave Anisotropy
Probe, 463

Y

Yang-Mills action, 74
Yang-Mills functional, 74
derivative of the, 146
Young tableaux, 278
Yukawa interaction mechanism, 182
Yukawa potential, 228
modified, 228 , 230
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