The Product of the Calculated Impedance and the Capacitance of the Universe Solves for Plancks Time and 8

Abstract

The prominence of 8Ï€ in cosmological solutions regarding the structure of space might be accommodated by factors other than the presence of mass. When the total set is considered a LC (inductance-capacitance) circuit, the “time constant†differs from Plancks time by a factor of 8Ï€ which satisfies the numbers of turns (N) within the geometry of a universal solenoid. The calculated separation between two concentric spherical Casimir boundaries whose energies and pressures define the current universe is ~54 μm. If the volume of the universe was held constant the linear distance of this extraordinarily flat space would require the hypothetical entanglement velocity (~10^23 m·s^-1) continuing until the final epoch (~10¹⁸ s) of the universe to be integrated into a singular entity. We suggest that 8Ï€ may be a reflection of the temporal properties of an implicit solenoid-like spatial structure that will ultimately be manifested quite differently as the temporal boundary of the universe is approached. Two perspectives emerge. The first reflects the topological properties of a line that become the second derivative of the surface of a sphere. The second is the shape would be extraordinarily flat.