SIGMA: stratified time, associator rigidity and nonassociative packet geometry

This page exposes the SIGMA/arXiv-ready geometry article from the KURPISHEV LOGIC 2 corpus. The full English PDF is preserved as the source publication file; this page gives a concise site entry and links to the full material.

Ivan Borisovich Kurpishev / Иван Борисович Курпишев · Independent Researcher · Kaliningrad · 2026

Subject

The article develops a geometric model in which time is represented by a finite stratified space endowed with a packet formalism based on the Hodge operator. Ordinary space is read as a projected layer of a prior stratified temporal architecture.

Geometric core

The concrete model is a one-parameter family of 7-dimensional Lie algebras g_alpha carrying canonical left-invariant G2-structures. The paper computes d phi_alpha, d(*phi_alpha), torsion data, and the associator amplitude.

φ_α = z ∧ ω + Re Ω
A(α) = √3 |α|
H²_red(μ)=ker d²_μ / im d¹_μ, O³_red(μ)=C³_red / im d²_μ

Site placement

The site package contains working HTML/PDF entries in Russian, English and Chinese, the full English PDF, and the source TeX ZIP. The main page now links this article from the geometry section.

Metadata

Title: Kurpishev's theory of stratified time: associator rigidity and nonassociative packet geometry. MSC 2020: 53C10; 53C25; 17A30; 58A14; 58H15. Suggested category: math.DG / math-ph.

Author: Ivan Borisovich Kurpishev, Independent Researcher, Kaliningrad. E-mail: me@kurpishev.ru.