The fundamental physical constants (FCs) are parametrized. The results reveal that: 1) FCs are field coupling constants. With the exception of ratio of identities such as μ = mp/me, there are no dimensionless constants – all FCs, including Alpha and pi, are dimensional. 2) The constant k = 1.6022 x 10-19 implicates: i) atomic unit of torque, it causes matter’s intrinsic rotation on all (atomic to cosmic) scales; ii) motion of unrestricted bodies through free space and random thermal (Brownian) motion in condensed matter; iii) superluminal space expansion, i.e., Hubble effect is not an acceleration but tangential velocity (pi c) of free space; and iv) common parametric definition of radioactivity and stellar explosion/supernova. 3) Newtonian gravitation comprises two potentials, a spherical pneumatic torque field G1 acts to inflate the gravitational envelope and a combination of force fields G2 impacts an acute hydrostatic pressure on the individual and common envelopes of the gravitating bodies; the two contrary force fields function to create a coherent rigid system in dynamic equilibrium. 4) The bosonic unit mass gravitational acceleration constant, gw = 7.9433 x 1059 m s-2 kg-1 is associated with the strong nuclear force (SNF), it binds matter on all (atomic to cosmic) scales. 5) Although the classical electron radius (CER) formulation re = e2/mec2 yields correct value, it is nonetheless fortuitous as me deviates from the theoretical value by twenty orders of magnitude and theory does not link spatial dimension to electrostatics charge quantum. 6) Successful evaluation of re by three alternative methods implies that an attempt to relegate the CER as currently obtains in the Standard Model seeks to re-engineer reality. 7) Electron bosonic radius identifies with the astronomical unit, it accounts for “spooky” action at a distance and “entanglement” effects. 8) Planck length fails to relate to atomic spatial dimension indicating that Planck space does not refer to the atom. 9) Electric, magnetic and gravitational effects are all motivated by torque but its magnitude differs according to the order: electrical (N m) > magnetic (N m)0.75 > gravitational (N m)0.25. It is submitted that even if the atom degraded with cosmological epoch, values of the FCs would remain fixed because they are parametric relative quantities.
Sets of lengths in atomic unit-cancellative finitely presented monoids
