** A Possible Maximum Value for the Cosmic Planck Constant**
#### Author: Ioannis Iraklis Haranas
York University
Department of Physics and Astronomy
128 Petrie Science Building
4700 Keele Street North
Toronto, Ontario, Canada M3J-1P3
YHaranas@yahoo.com
**Abstract: ** A new maximum value for the cosmic
Planck constant is proposed and it derivation is explained.
**Keywords:** Planck constant, cosmology, theory.
There is recent evidence for a possible quantization of the galactic red-shift which, was first postulated by Tifft and
Cocke.^{1} In this cosmic quantum mechanics the new Planck constant (COM) was also calculated to be:
_{}
^{(1)}
where V = 12 Km / sec, M = 10^{44} gm, and H = 1.7x10^{17}
sec^{-1}. ^{ 2,3} We now claim that similar relations to those of ordinary quantum mechanics must hold. If this is true we should be able to obtain the mass of the whole universe, which is the maximum mass possible, if we first consider it to be an enormous super-particle and use Weinberg’s relation. This relation has for long been known to connect basic constants of physics, such as the speed of light c, gravitational constant G, Hubble’s constant H, and Planck’s quantum of action
_{} , in the following manner:
_{ }
^{(2)}
We consider the whole universe to be a great super-particle composed of galactic elementary particles (galaxies). Assuming that all the other parameters in (2) do not change with time, there must be a maximum value of the new
_{} , namely _{} , for which the mass of the universe can be found to be equal:
_{}
^{(3)}
which is roughly off by a factor of 21 times, given that the mass of the universe is equal to
M_{univ} = 7.5x10^{55} W
h^{-1}. ^{4} The fact that we do not exactly obtain the mass of the universe could suggest that a higher value for the cosmic quantum of action it’s necessary, since the assumption was that all the other parameters do not change with time. Substituting for the higher possible mass in (2) i.e.: the mass of the universe and solving for the maximum value for the cosmic quantum of action:
_{} ^{(4)}
A similar value has also been calculated by Cardirola^{5} in an effort to unify strong and gravitational interactions. He actually predicts the value of h = MRc »
10^{94} erg sec. M is the mass of the universe, and R the size of the observable universe. After all, a higher cosmic quantum might be necessary to explain different properties of the universe, such as the cosmological constant, and critical density in the cosmic quantum mechanics scenario (COM).
REFERENCES
1. Cocke, W., Tifft, W., Astrophysical Journal, 287, 1984, 492.
2. Dersarkissian M., Lett. Nuovo, Cimento, 40, 1984, 390.
3. Dersarkissian M., Lett. Nuovo, Cimento, 43, 1985, 274.
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