A Machine-Checkable Operational Standard for Systemic Tau τₛ and the Discrete Extramental Clock (RECD)
Year: 2026
Type: preprint
Abstract: We present systemic-tau-formal v0.1.9 as documented in this English preprint (document version 0.1.9-r1): 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: unique operational inverse-scale bridge f(δ)=c/δ with pin at δ_op (module ThresholdFromDelta); extended class of simple closed forms ruled out vs τ_ch; four-level ontology registry for the threshold package. Laboratory Feigenbaum constructions from v0.1.8 are retained. Classical free-c derivation of τ_ch remains 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 v0.1.9 — DOI 10.5281/zenodo.21536462 (concept 10.5281/zenodo.21516059).
Author: Padilla-Villanueva, Johel
Institution: University of Puerto Rico, Medical Sciences Campus
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7170937162