A Lowest Boundary for the Density of Twin Primes Maintains Their Cardinality

Abstract

Jerome Chauvet

We address here the TPC (Twin Primes Conjecture). Considering the unique growing list of twin primes as elements of a dynamical system with invariant transformation law onN, we infer a lower boundary for their density along the real axis incompatible with their finiteness. Although non constructive, since we do not prove a general formula for finding twin primes pairs arbitrarily great, this proof relies for closure on the tertium non datur principle with regard to their minimal density, and thus their cardinality at infinity.

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