Published July 26, 2026 | Version 0.1.11

systemic-tau-formal: Machine-verifiable Systemic Tau (τₛ) and RECD

  • 1. University of Puerto Rico, Medical Sciences Campus

Description

systemic-tau-formal v0.1.11 is an open monorepo for machine-checkable formalization and reproducible reference code of the Systemic Tau (τₛ) paradigm and the Discrete Extramental Clock (RECD).

What is new in v0.1.11 — Module CT residual pack (0 sorry / 0 research axiom)

  • RECD / CT core: CT-3 monotonicity, CT-4A/B ordinal entropy, CT-3 quantitative variation, mesh immersion + σ_RECD, CT-1 stable bi-Lipschitz, CT-2 InfOften anti-sync non-mono, BV/TV immersion, OP-CT-8 orientation non-equivalence.
  • Projection π + Kendall: combinatorial kendallTau (not opaque); systemicTauWindow, projectPath; estimator noise envelope.
  • CT-1 residual: noise-robust mono; accum gap |T̂−T|≤N·δ^{-k}·η; discrete shift/increment semigroup intertwining.
  • OP-CT-5 ContLim: H1–H4 scaffold; const-mass ContLim; uniform envelope + equicontinuous modulus; projected ContLim.
  • ContLim + noise (new): RECD_ContLim_Noise — stable/degraded band under NoiseBounded; equi-Lip immersion with modulus δ^{-k}(M+η); small-η mono of estimated immersion; ContLimNoisePackage.
  • OP-CT-8 monoidal residual: Nat monoid homs; oriented monoid bridge obstruction; path tensor classical closure.
  • Research registry: Schnakenberg/CT-4C, ordinal LDP, nested RECD as honest Prop interfaces (not axioms).

Still research-scale (not claimed discharged)

  • Full C([0,∞)) for random projected processes / Skorokhod
  • Kendall consistency in probability; continuum Markov P_t intertwining
  • Schnakenberg/CT-4C full; ordinal LDP rate function; nested multi-scale ContLim
  • Mathlib CategoryTheory monoidal functors on Top

Companion: PyPI systemictau. Prior corpus DOI: 10.5281/zenodo.20576241.

Epistemic honesty: operational thresholds 0.50 / 0.41 remain protocol pins; no continuum thermodynamic axiom is added to Lean.

Notes

CI: GitHub Actions (pytest + lake build). Verify: clone, lake build, pytest -q. Concept DOI: 10.5281/zenodo.21516059. Formal obligations: docs/FORMAL_OBLIGATIONS.md. Zero sorry / zero research axiom under lean/SystemicTau/.

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Additional details

Related works

Is documented by
Publication: 10.5281/zenodo.21537494 (DOI)
Is new version of
Software: 10.5281/zenodo.21537465 (DOI)
Is supplement to
Software: https://github.com/johelpadilla/systemic-tau-formal (URL)
Publication: 10.5281/zenodo.20576241 (DOI)