Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1997-12-02
Found.Phys.Lett. 11 (1998) 95
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
To appear in Foundations of Physics Letters
Scientific paper
10.1023/A:1022411021285
In this paper, the suggested similarity between micro and macro-cosmos is extended to quantum behavior, postulating that quantum mechanics, like general relativity and classical electrodynamics, is invariant under discrete scale transformations. This hypothesis leads to a large scale quantization of angular momenta. Using the scale factor $\Lambda \sim 10^{38}$, the corresponding quantum of action, obtained by scaling the Planck constant, is close to the Kerr limit for the spin of the universe -- when this is considered as a huge rotating black-hole -- and to the spin of Godel's universe, solution of Einstein equations of gravitation. Besides, we suggest the existence of another, intermediate, scale invariance, with scale factor $\lambda \sim 10^{19}$. With this factor we obtain, from Fermi's scale, the values for the gravitational radius and for the collapse proper-time of a typical black-hole, besides the Kerr limit value for its spin. It is shown that the mass-spin relations implied by the two referred scale transformations are in accordance with Muradian's Regge-like relations for galaxy clusters and stars. Impressive results are derived when we use a $\lambda$-scaled quantum approach to calculate the mean radii of planetary orbits in solar system. Finally, a possible explanation for the observed quantization of galactic redshifts is suggested, based on the large scale quantization conjecture.
No associations
LandOfFree
The Large Numbers Hypothesis and Quantum Mechanics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Large Numbers Hypothesis and Quantum Mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Large Numbers Hypothesis and Quantum Mechanics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-198197