Finite Relativistic Algebra at Composite Cardinalities

We extend finite relativistic algebra from prime fields to composite moduli \(q\). The finite analogues of canonical constants \(i,\pi,e\) lift uniquely via Hensel's lemma, glue through the Chinese Remainder Theorem and assemble into profinitely stable families. The resulting arithmetic bouquet possesses a Seifert-fibred \(3\)-orbifold structure whose exceptional fibres record the prime factors of \(q\), while a mixed-radix expansion yields digit coordinates suitable for Fourier and modal analysis. The framework retains the algebraic rigor, geometric depth and analytic versatility of its prime predecessors. Together these elements provide a coherent, scalable calculus on finite rings, paving the way for applications and modeling in an informationally finite physical universe.