Original Contribution THE ALLOMETRIC RELATIONSHIPS BETWEEN GRAVITATIONAL CONSTANT, MAX PLANCK CONSTANT AND BODY MASS, SIZE, GENERATION TIME, DENSITY AND SPEED OF GROWTH IN PROKARYOTES
Year: 2007
Type: article
Abstract: The study shows that there is an allometric relationship between the gravitational constant, the Planck’s constant and the body mass, size, generation time, density and the speed of growth in prokaryotes. The allometric relationships are received on the basis of Max Planck’s ratios between the gravitational constant G=6.673x10-11(N.m2/kg2), the Planck’s constant h=6.6262x10-34 (J.s) and the speed of light с = 2.9979x108 m/s. Max Planck and other theoretical physicists have calculated the fundamental physical quantum for mass: M=(h.c/G)1/2 =2.176x10-8 kg, length: L=(h.G/c3)1/2=1.616x10-35m, time: T=(h.G/c5)1/2=5.389x10-44s, and density: ρ=M/L3 ≈1.1097, kg / m3, using G, h and c constants in these ratios. If in Planck’s relations we replace the speed of light ‘c’ with speed vcell = (8±0.16)x10-11m/s, equal to linear growth of prokaryotes, during multiplication of cells by binary fission: vcell=Mcell/(ρcellLcell2Tgt) ≈ Lcell/Tgt (where Mcell-body mass of cells in kg, ρcell-body density of cells in kg/m3, Lcell- body length of cells in m, Tcell- generation time between multiplication in s), we can get the values for mass, size, generation time and the density, that is typical for small prokaryotes (Bacteria, Mycoplasmatales, Rickettsiales, Chlamydae).
Author: A Atanasov
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2150157097