624 research outputs found
Topological conjugations are not constructable
We construct two computable topologically conjugate functions for which no
conjugacy is computable, or even hyperarithmetic, resolving an open question of
Kennedy and Stockman.Comment: 9 pages. v2 adds a note on folklor
The status and programs of the New Relativity Theory
A review of the most recent results of the New Relativity Theory is
presented. These include a straightforward derivation of the Black Hole
Entropy-Area relation and its corrections; the derivation of the
string uncertainty relations and generalizations ; ; the relation between the
four dimensional gravitational conformal anomaly and the fine structure
constant; the role of Noncommutative Geometry, Negative Probabilities and
Cantorian-Fractal spacetime in the Young's two-slit experiment. We then
generalize the recent construction of the Quenched-Minisuperspace bosonic
-brane propagator in dimensions ( [18]) to the full
multidimensional case involving all -branes : the construction of the
Multidimensional-Particle propagator in Clifford spaces (-spaces) associated
with a nested family of -loop histories living in a target -dim
background spacetime . We show how the effective -space geometry is related
to curvature of ordinary spacetime. The motion of rigid
particles/branes is studied to explain the natural of classical
spin. The relation among -space geometry and , Finsler Geometry
and (Braided) Quantum Groups is discussed. Some final remarks about the
Riemannian long distance limit of -space geometry are made.Comment: Tex file, 21 page
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