Relating Casimir to Magnetic Energies Results in Spatial Dimensions That Define Biology Systems

The volume-independence that occurs when Casimir and magnetic energies were equated was employed to solve for optimal spatial separations. For the magnetic moments of a proton and an electron in the presence of a magnetic field strength that produced the energy associated with the neutral hydrogen line, the distances were 1 nm and 24 nm or the width of an ion channel in a plasma cell membrane and the average synaptic width, respectively. The small discrepancies in orbit-spin magnetic moments of the electron with the magnetic moment of the proton emerged as relevant. Calculation of the radius in the bound (circular) system associated with the required magnetic field strength for the ~3.41·10 ^-27 A·mX ² discrepancy solved as the Compton wavelength of the electron. Applications of the approach allowed quantitative convergence between universal photon densities within 1 nm widths as well as integration of the energy from acceleration for estimated upper limits of resting photon masses with Planck’s constant. The results suggest that the physical and chemical properties that define biological systems, particularly the brain, reflect astronomical principles.