This article presents derivations of Planck length, time, charge, vacuum permittivity, and permeability using various natural constants, connecting them to each other in different forms.
All derivations are verified, reproducing the expected values within a relative error tolerance.
For Planck length, expressions are based on spacetime distance, gravitational geometry, energy-time structure, electromagnetic field scaling, quantum action form, and a dimensional formula.
Planck time derivations include quantum geometry execution, spacetime ratio, gravitational balance, energy-latency identity, electro-field delay, charge-alpha scaled time, and a formula involving mass, speed of light, and length.
Planck charge derivations showcase relations with alpha scaling, quantum-field charge structure, gravitational-mass derived charges, mass-energy gravity forms, and geometric time dependency.
Vacuum permittivity derivations highlight the connection with charge, gravity, quantum fields, geometry, and thermodynamics, explaining its emergence and structural balance.
Vacuum permeability derivations link mu_0 to Planck charge, hbar, and the fine-structure constant, showing its emergence rather than fundamentality.
The consolidation page includes geometric constants like volume and area at the Planck scale and illustrates spacetime structures based on first principles in relativity.
The angular difference between the Absolute Present and relativistic now line defines relativity, providing insights into causality, wave function collapse, and observational delay as a unified temporal structure.
This comprehensive framework unifies physics as a recursion of action and identity, arising from structured delay and execution across Planck spacetime.