hadronic mathematics, mechanics and chemistry - Institute for Basic ...

HADRONIC MATHEMATICS, MECHANICS AND CHEMISTRY 411isoimage of the deformation of the light cone caused by variable speeds of lightis the perfect light isocone, etc. These exact reconstructions are, evidently, atthe foundations of the reconstruction of exact spacetime and internal symmetrieswhen popularly believed to be broken due to the use of excessively elementarymathematics.The mechanism of achieving this reconstruction is given by the lifting of anygiven physical quantity, say, v 2 → v 2 × b 2 3 while the corresp[onding unit is liftedof the inverse amount, I = 1 → Î = 1/b2 3 . The exact reconstruction then followsfrom isoinvariance (6.1.10).By the same argument, the isotopic image of all physical media is given by theperfect isovacuum, that is, the vacuum referred to the Minkowski-Santilli isospacelover isofields. In fact, the maximal causal speed on isospaces over isofields is thespeed of light in vacuum, otherwise the Lorentz-Santilli isosymmetry could notbe isomorphic to the conventional Lorentz symmetry.Figure 6.3. A view of the classification of physical media permitted by the Minkowski-Santilliisogeometry first proposed in Ref. [6] of 1991 (see also Figure 8.5.1 of EHM-II and Ref. [63]).Under such isogeometrization of physical media, the projection in our spacetimeof the maximal causal isospeed is not the local speed of light c = c o × b 4but instead it is given by the maximal causal speed V max = c o × b 4 /b 3 , sinceisotopies preserve the axiomatic character, the speed of light being an ordinarylocally variable quantity under isotopy.The Minkwski-Santilli isogeometry permits an important classification of pohysicalmedia (see Figure 6.3) under the following basic characterizations: