17,562 research outputs found
Dual Gravitation
We propose a canonical relation between gravity and space-time
noncommutativity
High Energy Commutators in Particle, String and Membrane Theories
We study relativistic particle, string and membrane theories as defining
field theories containing gravity in (0+1), (1+1) and (2+1) spacetime
dimensions respectively. We show how an off shell invariance of the massless
particle action allows the construction of an extension of the conformal
algebra and induces a transition to a non-commutative spacetime geometry. This
non-commutative geometry is found to be preserved in the spacetime
supersymmetric massless particle theory. It is then shown how the basic bosonic
commutators we found for the massless particle may also be encountered in the
tensionless limit of string and membrane theories. Finally we speculate on how
the non-locality introduced by these commutators could be used to construct a
covariant Newtonian gravitational field theory.Comment: Latex, 24 page
Free Massless Particles, Two Time Physics and Newtonian Gravitodynamics
We demonstrate how a classical Snyder-like phase space can be constructed in
the Hamiltonian formalism for the free massless relativistic particle, for the
two-time physics model and for the relativistic Newtonian gravitodynamic
theory. In all these theories the Snyder-like phase space emerges as a
consequence of a new local scale invariance of the Hamiltonian. The
implications and consequences of this Snyder-like phase space in each of these
theories are also considered.Comment: Latex, 26 page
Extended Conformal Algebra and Non-commutative Geometry in Particle Theory
We show how an off shell invariance of the massless particle action allows
the construction of an extension of the conformal space-time algebra and
induces a non-commutative space-time geometry in bosonic and supersymmetric
particle theories.Comment: 9 page
Gravitation with Two Times
We investigate the possibility of constructing a covariant Newtonian
gravitational theory and find that the action describing a massless
relativistic particle in a background Newtonian gravitodynamic field has a
higher-dimensional extension with two times.Comment: Latex, 13 page
Noncommutative Two Time Physics
We present a classical formalism describing two-time physics with Abelian
canonical gauge field backgrounds. The formalism can be used as a starting
point for the construction of an interacting quantized two-time physics theory
in a noncommutative soace-time.Comment: Latex, 11 page
Two Time Physics with a Minimum Length
We study the possibility of introducing the classical analogue of Snyder's
Lorentz-covariant noncommutative space-time in two-time physics theory. In the
free theory we find that this is possible because there is a broken local scale
invariance of the action. When background gauge fields are present, they must
satisfy certain conditions very similar to the ones first obtained by Dirac in
1936. These conditions preserve the local and global invariances of the action
and leads to a Snyder space-time with background gauge fields
2T Physics and Quantum Mechanics
We use a local scale invariance of a classical Hamiltonian and describe how
to construct six different formulations of quantum mechanics in spaces with two
time-like dimensions. All these six formulations have the same classical limit
described by the same Hamiltonian. One of these formulations is used as a basis
for a complementation of the usual quantum mechanics when in the presence of
gravity.Comment: 27 page
New Heisenberg Relations in a Non-commutative Geometry
We show how an induced invariance of the massless particle action can be used
to construct an extension of the Heisenberg canonical commutation relations in
a non-commutative space-time.Comment: 7 pages, LAte
Free massless particles and extended space-time algebra
We study the space-time invariances of the relativistic particle action for
both the massive and massless cases. While the massive action has only the
invariances associated to the Poincare algebra, we find that the invariances of
the massless action give rise to the conformal algebra in four dimensions. For
the free massless particle, a new invariance of the action permits the
construction of an extension of the conformal algebra. The conclusion is that
two distinct symmetry breaking mechanisms are necessary to arrive at the
Poincare algebra.Comment: 6 pages, completed equation
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