Dark matter, mirror world, and E{sub 6} unification

Journal Article · Sun Feb 15 04:00:00 EST 2009 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778809020276· OSTI ID:21406005

The idea that the ordinary (O) and mirror (M) worlds exist simultaneously is developed. It is shown that, in the case of a violated mirror parity (MP), the renormalization-group evolution of the coupling constants, which is represented in the O world by the dependence {alpha}{sub i}{sup -1} ({mu}) ({mu} is an energy variable), is not identical to the evolution of the coupling constants {alpha}'{sub i}{sup -1}({mu}) in the M world. Here, the index i labels the symmetry group under consideration, while a dash labels quantities defined in the M world. It is assumed that E{sup 6} unification predicted by superstring theory restores MP at the unification scale M{sub SGUT} {approx} 10{sup 18} GeV, this inevitably leading to the difference in the violation of E{sup 6} unification in the O and M worlds at lower energies: E{sup 6} {yields} SO(10) x U(1){sub Z} and E'{sub 6} {yields} SU(6)' x SU(2)'{sub Z}. Considering only asymptotically free theories, we present the evolution of all the inverse coupling constants {alpha}{sub i}{sup -1}({mu}) in the one-loop approximation. In dealing with the M world involving MP violation, we then arrive at the model of the accelerating expansion of our Universe, where the axion ('acceleron') belongs to the SU(2)'{sub Z} group of the M world. The coupling constant g'{sub Z}, which grows indefinitely at the scale {Lambda}'{sub Z} {approx} 10{sup -3} eV, is associated with this group. Within this theory, our Universe is in the false vacuum of the M world, in agreement with the phenomenologically observed cosmological constant of about (3 x 10{sup -3} eV){sup 4}.

• OSTI ID: 21406005
• Journal Information: Physics of Atomic Nuclei, Journal Name: Physics of Atomic Nuclei Journal Issue: 2 Vol. 72; ISSN 1063-7788; ISSN PANUEO
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
APPROXIMATIONS
CALCULATION METHODS
COMPOSITE MODELS
COSMOLOGICAL CONSTANT
COUPLING CONSTANTS
ENERGY RANGE
EV RANGE
EVOLUTION
EXTENDED PARTICLE MODEL
GEV RANGE
M-THEORY
MATHEMATICAL EVOLUTION
MATHEMATICAL MODELS
MATTER
NONLUMINOUS MATTER
PARITY
PARTICLE MODELS
PARTICLE PROPERTIES
QUARK MODEL
RENORMALIZATION
STRING MODELS
STRING THEORY
SUPERSTRING MODELS
SUPERSTRING THEORY
SYMMETRY GROUPS
UNIVERSE