Possible Determination of the Physical Parameters of the First Living Cells Based on the Fundamental Physical Constants.

Here is developed the hypothesis that the cell parameters of unicellular organisms (Prokaryotes and Eukaryotes) are determined by the gravitational constant (G, N·m²/kg²), Planck constant (h, J·s) and growth rate of cells. By scaling analyses it was shown that the growth rate vgr(m/s) of unicellular bacteria and protozoa is relatively constant parameter, ranging in a narrow window of 10-12 - 10-10 m/s, in comparison to the diapason of cell mass, ranging 10 orders of magnitudes from 10-17 kg in bacteria to 10-7 kg in amoebas. By dimensional analyses it was shown that the combination between the growth rate of cells, gravitational constant and Planck constant gives equations with dimension of mass M(vgr)=(h·vgr/G) ½ in kg, length L(vgr)= (h·G/vgr 3) ½ in meter, time T(vgr) =(h·G/vgr5) ½ in seconds, and density ρ((vgr)= vgr .3.5/hG2 in kg/m³. For growth rate vgr in diapason of 1×10-11 m/s - 1×10-9.5 m/s the calculated numerical values for mass (3×10-18 -1×10-16 kg), length (5×10-8 -1×10-5 m), time (1×10² -1×106 s) and density (1×10-1 - 1×104 kg/m³) overlaps with diapason of experimentally measured values for cell mass (3×10-18 -1×10-15 kg), volume to surface ratio (1×10-7 -1×10-4 m), doubling time (1×10³ -1×107 s), and density (1050 - 1300 kg/m³) in bacteria and protozoa. These equations show that appearance of the first living cells could be mutually connected to the physical constants. [ABSTRACT FROM AUTHOR]