To: International Workshop on Aspects of Dark Matter in Astro- and Particle
Physics. Organizers: Prof. H. V. Klapdor-Kleingrothaus, Dr. A. Mueller,
Y. Ramachers; Max-Planck-Institut Kernphysik, Postfach 103 980, 69029 Heidelberg,
Germany; Email: klapdor@enull.mpi-hd.mpg.de, dark96@mickey.mpi-hd.mpg.de;
Tel.: (49) 6221-516-262, (49) 6221-516-259; Fax: (49) 6221-516-540.
From: Carl H. Gibson, Professor of Engineering Physics and Oceanography,
Departments of Applied Mechanics and Scripps Institution of Oceanography,
MC 0411, University of California at San Diego, La Jolla, CA, 92093-0411,
USA, Tel: 619 534-3184, Fax: 619 534-7599, Email: cgibson@ucsd.edu, WWW:
http://www-acs.ucsd.edu/~ir118.
Subject: Abstract submitted for International Dark Matter Workshop, Sept.
16-20, 1996.
Abstract Title: Evidence for self-gravitational condensation at the viscous-gravitational
length scale rather than the Jeans acoustic-gravitational length scale,
forming two classes of dark matter.
It is suggested that the acoustic Jeans self-gravitational condensation
criterion is incomplete and misleading. Condensation on non-acoustic nuclei
is limited by either viscous forces at the viscous Schwarz radius L_SV =
( gamma nu / rho G)^1/2 or by turbulence forces at the turbulent Schwarz
radius L_ST = ( epsilon )^1/2 / ( rho G)^3/4 , depending on the Reynolds
number, where gamma is the rate-of-strain, nu is the kinematic viscosity,
rho is the density of the condensing fluid, G is Newton's gravitational
constant, and epsilon is the viscous dissipation rate. By these new criteria,
condensation of baryonic matter begins early (30,000 y) at 10^47 kg when
L_SV = ct in the super-viscous plasma epoch, where c is the velocity of
light and t is time, and decreases with further expansion and cooling.
Upon plasma neutralization (300,000 years), the entire universe of relatively
inviscid, weakly-turbulent gas condenses to form 10^22 kg "primordial
fog particles" (PFPs). Most PFPs should persist as cold, compact,
"black-dwarf" dark matter in galaxy halos, separated by 10^14
m from each other and 10^16 m from stars. The enormous effective diffusivity
of WIMP (weakly interacting massive particle) fluid results in large L_SV
scales, so that such material should condense very slowly, only on the largest
structures, to form "superhalos" and "clusterhalos".
Recent Hubble space telescope photographs support this model (see http://www-acs.ucsd.edu/~ir118
for Figures and References).