A Machine-Checkable Operational Standard for Systemic Tau τₛ and the Discrete Extramental Clock (RECD)
Johel Padilla · Zenodo (CERN European Organization for Nuclear Research) · 2026
We present systemic-tau-formal v0.1.10 as documented in this English preprint (document version 0.1.10-r2): an open monorepository that states the operational core of the Systemic Tau (τₛ) paradigm and the Discrete Extramental Clock (RECD) in a form accepted by a formal verifier. New in this document/software pin: termwise superstable logistic roots (period 1 and 2 unique; period-4 cascade-window existence; secondary residual zero ~3.96); hybrid cascade with geometric tail and δ-limit; free-c operational uniqueness retained. Formal Rolle mono discharge, true termwise SS for all n, and C²-open map-space renorm remain research-scale open. The Lean 4 + Mathlib package encodes regime bands, the gate function g(τₛ), partition and monotonicity lemmas, and a laboratory construction package linked to period-doubling cascade ideas and Feigenbaum's constant δ. Accompanied by a Python reference core, golden rational bridges, continuous integration, and a citable Zenodo software deposit. Source: github.com/johelpadilla/systemic-tau-formal · path papers/preprint-standard-formal/. Software pin: systemic-tau-formal v0.1.10 — DOI 10.5281/zenodo.21537465 (concept 10.5281/zenodo.21516059).