Volume 3, Issue 3, pages 1-20
Planck’s constant and the gravitational constant embody natural units of length, mass, and time. When we replace the universal constants with natural Planck units, a hidden structure appears in the equations of physics comprising ratios of length, mass, and time to the Planck scale. It is the proportions of Planck units that define observable physical phenomena and not the composite values of the constants. Natural unit formulas offer more granular information about the structure of matter and radiation than equations written with hbar and G. These natural formulas reveal physical relationships explaining the correspondence between classical and quantum phenomena. Relationships between rest mass, velocity, and wavelength show how classical and quantum mechanical momentum and energy are related, suggesting that momentum is universally a function of wavelength and not velocity.