Some Results due to a Possible Cosmic Quantum Mechanics in Astrophysics

Recent observations confirm quantized galactic redshifts and hint a possible new form of quantum mechanics, which could probably explain these observed properties of the galaxies. This brief contribution investigates a possible relation between the new cosmic Planck constant g h and other fundamental constants of physics. Introduction Since it was found that the recession velocities for single and double galaxies appear to be quantized, [1] then a new quantum of action was also derived to yield [2], [3]: ( ) 74 2 2 10 0 . 7 3 1 × ≅ + = V H M g h erg⋅s (1) where: V = 12 km/s, M = 10 gm, and H = 1.7×10 s. If we now use Weinberg’s relation for the mass of an elementary particle [4] and changing g h h → we have: ⊗ × = × =       = = M Gc H m m o g g π 9 42 3 / 1 2 10 77 . 3 g 10 466 . 7 h (2) This value of mass can be considered as a lower bound for the mass of a galaxy now playing the role of a “particle” in this new scheme of cosmic quantum mechanics. Next, the upper particle mass can be obtained via the substitution g h h → into the Planck mass formula namely: ⊗ × = × =       = M G c m g upper g 12 46 2 / 1 10 961 . 8 g 10 774 . 1 h (3) Looking at the numbers just obtained in (1), and (2) we can easily see that they represent galactic masses of some kind. The first mass obtained for a typical elementary particle in the cosmic quantum mechanics hypothesis, where galaxies are treated like particles, simply represents a mass slightly greater by a factor of hundred than that of dwarf galaxies, since ⊗ − = M M D ) 10 10 ( 7 5 [5]. This could also suggest that the lower bound for a galactic particle might be higher than the dwarf but less than most galaxies in the