111 research outputs found
Hydrogen-like Spectrum of Spontaneously Created Brane Universes with deSitter Ground State
Unification of Randall-Sundrum and Regge-Teitelboim brane cosmologies gives
birth to a serendipitous Higgs-deSitter interplay. A localized
Dvali-Gabadadze-Porrati scalar field, governed by a particular (analytically
derived) double-well quartic potential, becomes a mandatory ingredient for
supporting a deSitter brane universe. When upgraded to a general Higgs
potential, the brane surface tension gets quantized, resembling a Hydrogen atom
spectrum, with deSitter universe serving as the ground state. This reflects the
local/global structure of the Euclidean manifold: From finite energy density
no-boundary initial conditions, via a novel acceleration divide filter, to
exact matching conditions at the exclusive nucleation point. Imaginary time
periodicity comes as a bonus, with the associated Hawking temperature vanishing
at the continuum limit. Upon spontaneous creation, while a finite number of
levels describe universes dominated by a residual dark energy combined with
damped matter oscillations, an infinite tower of excited levels undergo a Big
Crunch.Comment: 5 PRL style pages, 4 figure
Quantum Black Hole Wave Packet: Average Area Entropy and Temperature Dependent Width
A quantum Schwarzschild black hole is described, at the mini super spacetime
level, by a non-singular wave packet composed of plane wave eigenstates of the
momentum Dirac-conjugate to the mass operator. The entropy of the mass spectrum
acquires then independent contributions from the average mass and the width.
Hence, Bekenstein's area entropy is formulated using the average, leaving the average to set the
Hawking temperature. The width function peaks at the Planck scale for an
elementary (zero entropy, zero free energy) micro black hole of finite rms
size, and decreases Doppler-like towards the classical limit.Comment: 5 PRD pages, 1 figure; v.2 minor typo correction
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