Objection against the quantum gravitational metabolism

TGD based view about quantum gravity, which involves in an essential manner gravitational flux tubes and the notion of gravitational Planck constant h_gr, leads to a very nice picture about metabolism predicting correct order of magnitude for the metabolic energy quantum .5 eV assignable to the proton of the hydrogen bond transformed to a long gravitational loop in Earth scale. This increases the energy of the proton and the increment serves as metabolic energy liberated when the loop reduces to an ordinary hydrogen bond in the transition h_gr→ h.

A new metabolic energy quantum assignable to a dark electron Cooper pair is predicted and is assignable to a dark gravitational valence bond of metal ion X⁺⁺ or two metal ions of type X⁺ forming a dark Cooper pair with hydrogen peroxide H₂O₂, which is reactive oxygen species (ROS). As in the case of the dark proton of the hydrogen bond, only an effective ion is in question since the Cooper pair is at the gravitational flux tube.

Note that the transformation of the proton of hydrogen bond and electrons of valence bonds provides a mechanism, which makes it possible to control for instance membrane potential which is expected to be central in the control of nerve pulse generation. DNA base pairs are connected by hydrogen bonds and the control mechanism might be at use also here.

An estimate for its maximal value is obtained by scaling the ordinary metabolic quantum by the ration m_e/m_p and equal to .36 meV. The miniature membrane potential has value about .4 meV which is 10 per cent larger.

In the first approximation, the estimate for the maximum of the metabolic energy quantum is as the gravitational binding energy at the surface of Earth. The estimate neglects the kinetic energy of the dark particle at the flux tube, which can be reduced as the flux tube reduces to ordinary valence bond or hydrogen bond.

According to the simple model, bio-chemistry would strongly depend on the local gravitational environment. Could this be used to kill the idea?

1. For an object with mass M and radius R, the estimated maximal gravitational metabolic energy quantum E_max is scaled up by factor is scaled up by a factor z= (M/M_E)× (R_E/R). The values of z for Mars, Venus, and Moon are (.02,.86,.05). For Venus, which is called the sister planet of Earth, z is not too far from unity. Note that in the case of the Moon, the Earth’s gravitational potential and therefore E_max associated with it would be by a factor z= R_E/R_Moon= .017 smaller than at the surface of Earth.

Solar gravitational potential cannot come to rescue. At distance of AU (Earth’s distance from Sun) the scaling factor of E_max would be z= (M_S/M_E) (R_E/AU) =.014. The values E_max are typically few per cent of the desired value.

The model in its simplest version would predict that terrestrial life is not possible on Mars and Moon. Humans have however successfully visited the Moon.

The simplest model for the particle at gravitational valence bond is as a particle in a box with kinetic energies given by E_n= n²ℏ_eff²/mL², L the length of the loop. If L scales like h_eff, the kinetic energy does not depend on h_eff. Therefore the scale of kinetic contribution can be estimated in a molecular length scale.

Could the system adapt to a reduction of the maximal gravitational potential at the surface of Moon, Mars, or Venus by increasing the average value of n in the superposition of the standing waves having maximum at the top of the valence loop? The system would adapt by increasing the localization of the dark charge at the top of the loop. The reduction of the bond length would mean reduction of the superposition to n=0 wave so that the kinetic energy would be indeed liberated. See the article Quantum gravitation and quantum biology in TGD Universe or the chapter with the same title.

To sum up, the model survived the first killer test and led to a more precise formulation of the hypothesis. For a summary of earlier postings see Latest progress in TGD.

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