Read the complete retained manuscript in its authored order, with proofs, diagrams, references, and appendices. Choose a chapter below or start at the preface.
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Contents 1 Preface 2 Notation and principal results 3 What a realization must supply 4 The squarefree ambient system 5 Prime spectra and finite descriptions 6 Pure preimages and common finite observations 7 The paired-prime groups 8 Root certificates and finite quotients 9 Classification, morphisms, and seed rank 10 The exact cost of an effective realization 11 What finite observations cannot reconstruct 12 Escaping a fixed finite grammar 13 A worked arithmetic atlas 14 Boundaries as part of the calculus 15 Exact computation and reproduction 16 Formal companion and proof guide 17 Glossary 18 References 19 References PDF and companion guides The chapters retain the manuscript wording, hypotheses, and recorded limits. The original PDF and companion files remain available above.
