Quantum Gravity 291.95: India and Pakistan Solve Cosmic Coincidence Problem with w = -1, 0, 1
- From: OsherD <mdoctorow@xxxxxxxxx>
- Date: Thu, 25 Sep 2008 22:48:11 -0700 (PDT)
From Osher Doctorow
The Cosmic Coincidence Problem is why w = p/rho (pressure divided by
(energy) density) is now equal to -1 given its other past or future
cosmological values such as 0, (0, 1], etc.
Farook Rahaman and Mubasher Jamil and Mehedi Kalam of respectively
Jadavpur U. Kolkata India and National U. of Sciences & Technology
Rawalpindi Pakistan and Netaji Nagar College for Women Kolkata India,
in "Cosmic coincidence problem and variable constants of physics,"
arXiv: 0809.4314 v1 [gr-qc] 25 Sept 2008, 30 pages, show that:
1) w starts > 0 (radiation)
2) w evolves to w = 0 (matter dominated era)
3) w then evolves into the range 0 < w < = 1 (quintessence regime)
4) w then further evolves toward limit -1 (cosmological constant
dominated Universe)
The Newton's Gravitational Constant G is also allowed to vary, and a
modified Chaplygin gas (MCG) equation of state is used:
5) p = A rho - B/rho^(alpha), A & B constant parameters, alpha in [0,
1]
The ansatz for the cosmological constant Lambda is taken as:
6) Lambda = 3 beta/rho^gamma, beta and gamma constant parameters
The paper begins with examination of the Standard Model of Cosmology
(Lambda CDM) with tie dependent Lambda and G and total energy content
described by MCG.
From the viewpoint of Probable Causation/Influence (PI), the PI Set:
7) {0, 1, 2, 3, 4, 5, 7, 10, 11, 13, 26}
or the products of its separate elements by -1 would be expected to be
involved in this problem, and that is indeed the case with 0, +/- 1
and bounds or limits or exact values.
Readers should note that the PI Set (7) contains all prime numbers
from 2 (the first positive prime) to 13 and the main Superstring and
Supersymmetry constants 10 and 11 and 26 at least up to and including
26, as well as 1 which is only "conventionally" excluded as a prime
number because it is so pervasive, and 0 which behaves similarly to 1
for addition, and 4 which is the Minkowski space dimension and also
the dimension 4 of "observable" spacetime.
Osher Doctorow
.
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