We discuss two generalizations of Lie groupoids. One consists of Lie
n-groupoids defined as simplicial manifolds with trivial πk≥n+1​.
The other consists of stacky Lie groupoids \cG\rra M with \cG a
differentiable stack. We ...
Data Tables for Lorentz and CPT Violation
January 1, 2008
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Physics
High Energy Physics - Phenomenology
General Relativity and Quantum Cosmology
High Energy Physics - Experiment
High Energy Physics - Theory
High Energy Physics - Phenomenology
General Relativity and Quantum Cosmology
High Energy Physics - Experiment
High Energy Physics - Theory
This work tabulates measured and derived values of coefficients for Lorentz
and CPT violation in the Standard-Model Extension. Summary tables are extracted
listing maximal attained sensitivities in the matter, photon, neutrino, and
gravity ...
Radiatively induced finite and (un)determined Chern-Simons-like terms
November 26, 2007
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Physics
High Energy Physics - Theory
The problem of Chern-Simons-like term induction via quantum corrections in
four-dimensions is investigated in two different cases. In the first case, we
consider two distinct approaches to deal with the exact fermion propagator of
the exten...
The nature of light in an expanding universe
October 25, 2007
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Physics
General Physics
In this paper, we prove the existence of two degrees of freedom that govern
the movement of light in an expanding universe. The use of the fractal manifold
model leads to reciprocal causality between variation of geometry and gravity,
which...
A recursive linear time modular decomposition algorithm via LexBFS
October 20, 2007
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Computer Science
Discrete Mathematics
A module of a graph G is a set of vertices that have the same set of
neighbours outside. Modules of a graphs form a so-called partitive family and
thereby can be represented by a unique tree MD(G), called the modular
decomposition tree. Mot...
Bohmian Mechanics at Space-Time Singularities. I. Timelike Singularities
August 1, 2007
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Physics
Quantum Physics
Quantum Physics
We develop an extension of Bohmian mechanics to a curved background
space-time containing a singularity. The present paper focuses on timelike
singularities. We use the naked timelike singularity of the super-critical
Reissner-Nordstrom geo...
Periodic relativity: the theory of gravity in flat space time
July 31, 2007
Physics
General Physics
Periodic relativity (PR), uses a flat metric without weak field
approximation. PR satisfies Einstein's field equations. PR proposes a definite
connection between the proper time interval of an object and Doppler frequency
shift of its const...
The nature of electromagnetic energy
July 23, 2007
Physics
General Physics
The nature of electromagnetic energy for general charge and current
distributions is analyzed. We compare several forms for the electromagnetic
energy, and discuss under what conditions there will be electromagnetic energy
in a specific vol...
General Covariant Gauge Fixing for Massless Spin-Two Fields
July 17, 2007
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Physics
High Energy Physics - Theory
High Energy Physics - Theory
The most general covariant gauge fixing Lagrangian is considered for a
spin-two gauge theory in the context of the Faddeev-Popov procedure. In
general, five parameters characterize this gauge fixing. Certain limiting
values for these parame...
Quantum Properties and Gravitational Field of a Proper Time Oscillator
June 1, 2007
Physics
General Physics
We find that a field with oscillations of matter in proper time has the
properties of a zero-spin bosonic field. A particle observed in this field is a
proper time oscillator. Neglecting all quantum effects, a proper time
oscillator can mim...