The Product of the Calculated Impedance and the Capacitance of the Universe Solves for Planck’s Time and 8π

The prominence of 8π 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 Planck’s time by a factor of 8π 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 (~1023 m?s-1) continuing until the final epoch (~1018 s) of the universe to be integrated into a singular entity. We suggest that 8π 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.