121 research outputs found
Speed Limit on the brane
Relationship between the speed limit on the brane and in the bulk is
discussed. We assume that the speed of light, similar to the 4-dimensional
gravitational constant, is not a primary fundamental constant but depends on
the gravitational potential of the brane. This opens the way to explain the
hierarchy between the Plank and Higgs scales even within the simplest
5-dimensional model.Comment: RevTeX, 2 pages, no figure
Electroweak Phase Transitions in Einstein's Static Universe
We suggest using Einstein's static universe metric for the metastable state
after reheating, instead of the Friedman-Robertson-Walker spacetime. In this
case strong static gravitational potential leads to the effective reduction of
the Higgs vacuum expectation value, which is found to be compatible with the
Standard Model first order electroweak phase transition conditions. Gravity
could also increase the CP-violating effects for particles that cross the new
phase bubble walls and thus is able to lead to the successful electroweak
baryogenesis scenario.Comment: The published versio
Rotations in the Space of Split Octonions
The geometrical application of split octonions is considered. The modified
Fano graphic, which represents products of the basis units of split octonionic,
having David's Star shape, is presented. It is shown that active and passive
transformations of coordinates in octonionic '8-space' are not equivalent. The
group of passive transformations that leave invariant the norm of split
octonions is SO(4,4), while active rotations is done by the direct product of
O(3,4)-boosts and real non-compact form of the exceptional group . In
classical limit these transformations reduce to the standard Lorentz group.Comment: 10 pages, 1 figur
Octonionic Geometry
We extend vector formalism by including it in the algebra of split octonions,
which we treat as the universal algebra to describe physical signals. The new
geometrical interpretation of the products of octonionic basis units is
presented. Eight real parameters of octonions are interpreted as the space-time
coordinates, momentum and energy. In our approach the two fundamental
constants, and , have the geometrical meaning and appear from the
condition of positive definiteness of the octonion norm. We connect the
property of non-associativity with the time irreversibility and fundamental
probabilities in physics.Comment: 11 pages, no figure
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