| Abstrakt: |
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] |
