Swirl-String-Theory Canon v0.8.21 — Canonical Reference and Research Framework

Swirl-String-Theory Canon v0. 8. 21 is the formal reference document for Swirl-String Theory (SST), a continuum-based hydrodynamic and topological framework in which physical structure is modeled as arising from stable circulation-bearing configurations in an incompressible, inviscid medium. This edition consolidates the core axiomatic layer of the theory, defines a minimal primitive structure, and organizes the framework through an explicit epistemic classification that distinguishes orthodox input, internally derived consequences, and speculative extensions. The document is designed as a logically stratified canon rather than as a single-claim research article. Its primary purpose is to provide a stable source of definitions, canonical constants, dependency structure, master relations, and theory-internal consistency rules for subsequent SST papers, notes, simulations, and benchmarks. Version 0. 8. 21 places particular emphasis on non-circular closure, traceability of assumptions, and compatibility checks against established physics in appropriate limits. The canon includes: (i) formal foundations based on a minimal primitive set; (ii) an axiomatic framework for circulation, topology, delay dynamics, and relational time; (iii) a consistency and classification layer for epistemic status tracking; (iv) a geometric and topological sector; (v) delay-induced mode-selection theory as a route to spectral discreteness; (vi) a conservative atomic bridge model and spectroscopic constraints; (vii) a relational time framework with Swirl-Clock, foliation, and effective-field-theory bridge structures; and (viii) an integration layer that selectively recovers transferable material from earlier SST canon versions without treating those versions as external authorities. Compared with earlier canon releases, v0. 8. 21 strengthens the formal architecture of SST by separating canonical definitions from phenomenological bridge models and by explicitly labeling which statements are orthodox, derived within the present framework, or still speculative. It also preserves selected higher-level sectors—such as particle-candidate topology, hydrodynamic exchange barriers, benchmark structure, gauge-roadmap elements, and clock/gravity bridge constructions—while recasting them in a stricter and more transparent format. This edition (v0. 8. 21) adds on top of the prior canon line: eight-source curl/writhe/Gehring/Biot-Savart/Hodge/helicity-forms/isoperimetric/Ridgerunner series. This deposit is intended as a citable canonical reference for the SST framework in its v0. 8. 21 state. It is suitable for use as the primary background document for related technical notes, mass-functional derivations, atomic bridge analyses, topological classification work, and future computational or phenomenological developments. Version changelog v0. 8. 2 — Horn/circulation radius, envelope density, highres terminology v0. 8. 3 — Framed-tube ontology, trefoil closure, particle dictionary, Pauli acore v0. 8. 4 — EM–gravity bridge, finite-cell α obstruction, research-track extensions v0. 8. 5 — highres conversation audit + CALIBRATED circularity honesty v0. 8. 6 — framed self-linking and spinorial lepton ladder v0. 8. 7 — Z2 spinstats sector and CP1 substrate discipline v0. 8. 8 — Epistemic/notation audit v0. 8. 9 — triadic gravity-response corollary and diagnostics v0. 8. 10 — Round-2 calibration notation audit v0. 8. 11 — final notation hygiene pass v0. 8. 12 — Round-3 epistemic patch v0. 8. 13 — relativity emergence ladder (SR/GR audit) v0. 8. 14 — core-torsion / two-speed clock discipline v0. 8. 15 — Lorentz-type swirl-stress / EM correspondence v0. 8. 16 — pressure-optical locking and no-monopole audit v0. 8. 17 — T-foliation discipline and corpus integration bundle v0. 8. 18 — guardrails v2 + resolved-tube v3 + four-insights v2 + euler transport + time ontology + compton-horn + hybrid clock v0. 8. 19 — ropelength foundation + screening scalarization + thin-filament energy + mass audit + impedance bridge + audit bundle + Foucault RT + projected vorticity + dark taxonomy operator clock + claude audit cleanup + rhoF cosmological impedance + Taylor-column parity v0. 8. 20 — chronos kelvin + contact pressure + rank9 + SSDL + particle/clock ansatz v0. 8. 21 — eight-source curl/writhe/Gehring/Biot-Savart/Hodge/helicity-forms/isoperimetric/Ridgerunner series