- The values of the ℏeff could correspond to the values of ℏgr= GMm/β0, where M is the mass of the galactic blackhole, m is the particle mass, and β0=v0/c<1 is velocity parameter. These values of heff are gigantic . The gravitational Compton length Λgr is GM/β0= rS/2β0 and for β0=1 it is equal to one half of the Scwartschild radius of the galactic blackhole, which in the range (106--109)× rS(Sun), rS(Sun)= 3 km. Note that the distance of Earth to Sun is AU=.15 × 109 km and is in this range.
- The gravitational Bohr radius for Sun in the Nottale model with β0≈ 2-11 is obtained from the radius of Earth's orbit with principal quantum number n=5 as a0,gr= AU/5≈ .6× 107 km (see this). The gravitational Compton length for the Sagittarius A* is Λgr= rS/2= .62 × 107 km for β0=1 and is equal to the solar Bohr radius! Is this a mere coincidence or is there strong coupling between the galactic quantum dynamics and solar quantum dynamics and does this coincidence reflect the very special role of the Earth in the galactic biosphere?
- In the TGD inspired quantum biology, living matter is controlled by phases with a large value of ℏgr, in particular those associated with the gravitational flux tubes of Earth and Sun and quantum gravitation plays a key role in metabolism. This, and the fact that heff/h0 serves as a kind of IQ for living matter, strongly suggests that galactic blackholes are living super intelligent systems controlling matter in very long scales.
For a summary of earlier postings see Latest progress in TGD.