Strange co-incidences related to gravitational Planck constants, basic biorhythms, membrane potential and metabolic energy quantum

It is becoming clear that the gravitational quantum coherence is central for life on Earth. The hierarchy of Planck constants h_eff=nh₀ involves special values, in particular gravitational Planck constants ℏ_eff= ℏ_gr= GMm/β₀, where M is a large mass (say mass of Sun or Earth) and m is small mass (say mass of electron or proton) and β₀= v₀/c≤ 1 is velocity parameter, are of key importance for living matter. Particles with a different value of ℏ_gr correspond to different gravitational flux tubes and the value of β₀ can depend on the particle.

There are several amazing numerical co-incidences supporting this view.

1. For Sun one has β₀∼ 2^-11 which happens to be rather near to the electron proton mass ratio m_e/m_p. The condition ℏ_gr(M_S,m_p,β₀(Sun)∼ m_e/m_p)=ℏ_gr(M_S,m_e,β₀= 1) would guarantee resonance between dark photons generated by the solar gravitational flux tubes assignable to protons and electrons.

2. In accordance with Equivalence Principle, the gravitational Compton length ℏ_gr(M_S,β₀)/m= GM/β₀= r_S/2β₀ is independent of m for Sun GM_S/β₀(Sun) is rather near to Earth radius. For Earth one has GM_S/β₀(Earth)∼ .45 cm which corresponds to the size scale of the somewhat mysterious snowflake analogous to a zoom-up of a basic hexagonal unit cell of ice crystal. There is evidence for β₀(Earth)=1 in hydrodynamics, in particular from the TGD based model (see chapter) for the observed hydrodynamical quantum analogs described in an article of Bush et al (see this and this))

3. The gravitational Compton length of the galactic blackhole assuming mas 4.1×10⁶ M(Sun)corresponds to 6× 10⁹ m and rather precisely 1/2 of the n=1 Bohr orbit associated with the Sun. Note that the radius of the photosphere is 6.957 × 10⁸ meters and is not equal to Bohr radius as I errratically claimed earlier. This suggests gravitational quantum coherence in the scale of the galaxy.

The following decribes some additional strange coincidences. It would be very natural if the basic biorhythms defined by the duration T_d=24 hours of day and the duration of year T_y= 365 days would correspond to energies of dark photons E=ℏ_grf, which are biologically significant energies. The potential energy eV_c∼ .05 eV associated with the cell membrane defines Josephson energy in the TGD inspired model of cell membrane. Metabolic energy currency with the nominal value of .5 eV is second important energy. Could the periods of fundamental bio-rhythms, fundamental biological energies, and the gravitational Planck constants for Sun and Earth correlate?

The above assumptions imply that one has β₀(Sun)/β₀(Earth)∼ m_e/m_p and h_gr(Sun,me)/h_gr(Earth,m_p) ∼ M(Sun)/M(Earth). The value of Sun-Earth mass ratio is M_S/M_E∼ 6× 10⁵.

1. The corresponding frequency corresponding to the basic biorhythm T_d=24 is f_d= 1/G_d=1/24 hours= [1/(2.4×3.6)]10^-6∼ 1.1 × 10^-6 s. The corresponding Josephson energy would be E(ℏ_gr(Sun,m_e),f_d) ∼ .06 eV= E_J. This is very near to the Josephson energy E_J for cell membrane potential!
2. For T_y= 1 year = 365 days one has E(ℏ_gr(Sun,m_p),f= 1/T_y) ∼ (m_p/m_e)×(24 ~hours/year)× E_J∼ (2¹¹/365)E_J∼ .33 eV. This is not far from the value of the metabolic energy currency near to .5 eV. If one replaces proton with a Cooper pair of protons, the situation improves considerably.

See the article Comparison of Orch-OR hypothesis with the TGD point of view or the chapter with the same title. For a summary of earlier postings see Latest progress in TGD.