Global regularity for 3D Navier–Stokes via a Gate / No‑Theft critical‑element rigidity spine

Key Points

• The aim is to establish global regularity in the solutions of 3D Navier-Stokes equations using a new critical-element approach.
• Utilized a novel critical-element rigidity framework.
• Analyzed the Navier-Stokes equations in three-dimensional space.
• Provided LaTeX source and PDF for accessibility.
• Demonstrated potential for regularity in the 3D Navier-Stokes system.
• Introduced a new rigidity spine method that may lead to further advancements.