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

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830 RUGGERO MARIA SANTILLIFigure 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 <strong>and</strong> Ref. [63]).3) The direct geometric representation of the general inhomogeneity of themedium is done via a dependence of the characteristic quantities on the localradial distance r <strong>and</strong> other variables, b s = b s (r, ...) = 1/n s (r, ...). Such a localvariations can be averaged to constants <strong>for</strong> simplicity.4) The direct geometric representation of the general anisotropy is done via adifference between the space <strong>and</strong> time characteristic quantities, b s ≠ b 4 , n s ≠ n 4 .5) The direct geometric representation of the locally varying speed of light,the maximal causal speed <strong>and</strong> the other features of isorelativity are done viaIsoaxioms I to V.The above characterizations provide the following classical iso-Minkowskianclassification of physical media first presented in Ref. [6] of 1991, Section IV-10(see also Ref. [63] <strong>and</strong> EHM II):GROUP I: characterized by n s = n 4 , n 4 = 1, > 1, < 1.These media possess the same homogeneity <strong>and</strong> isotropy of space (vacuum).GROUP II: characterized by n s < n 4 , n 4 = 1, > 1, < 1.These media are inhomogeneous <strong>and</strong> isotropic with low density.GROUP III: characterized by n s > n 4 , n 4 = 1, > 1, < 1.These media are inhomogeneous <strong>and</strong> anisotropic with high density.

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