Coupling Geometry Case Study VIII: The Venetian Republic, 697–1797 CE

This case study applies Coupling Geometry to the Venetian Republic, 697–1797 CE, and occupies the same methodological position as the programme’s Maya, Egyptian, and Inca studies: it is a portability test, not a predictive one. Venice is the portfolio’s deliberate stress case. It was selected because it appeared the strongest available candidate to falsify the programme’s Involuntary Redistribution Theorem — a regulated oligarchy whose constitutional machinery (the Serrata of 1297, the Council of Ten, the constrained dogeship, systematic rotation of office) looks like pre-emptive distributional adjustment achieved by design rather than under duress. Fourteen derivations are made and assessed against the historical record. The theorem survived: the innovations turn out to be crisis-responsive rather than anticipatory, and none redistributed downward from the oligarchy to the wider population. That is the single most substantive result in the document, and the paper states carefully what it does and does not establish. The remaining derivations cover the lagoon as the purest positional material base in the portfolio; the determination of institutional form by commercial position; oligarchic distribution with broad-based public goods; factional conflict channelled rather than eliminated; a dual ideology whose civic-republican component became constitutive identity; the destabilising effect of a visible ideological alternative after 1789; the lagoon as a structural buffer; institutional dispersal of power as deliberate decoupling; progressive buffer depletion; the expansion lifecycle terminated by a double frontier closure in 1453 and 1498–1500; and the calibration limit of structural buffers, tested here for the second time. Each is found consistent with the record. No aggregate score is reported. Three theoretical categories the internal version presented as findings — a fourth longevity pathway, a new envelope condition, and a variant of the theorem — are marked as derived from this case and therefore not established by it. Adversarial examination by Venetian historians is invited.

Case Study VII: The Inca Empire, c. 1438–1572 CE