SFT Start Here

Syncré Form Theory (SFT) is a target-correct way to state and verify phase coverage on a declared slice or subsystem.

Syncré is named so the posture is visible.

• syn- suggests together-in-time: one global instant expressed as a field of phase labels across an arena.
• cre is from Latin and means to create: Syncré is meant to name a created, forced pattern rather than a coordinate convention.
• form names what is studied: the stable pattern forced by embeddedness in the whole.

A phase-coverage claim becomes meaningful in SFT only after it specifies:

• a phase observable (circle/torus-valued)
• a slice or subsystem where the phase is observed
• the target on which coverage is asserted (circle, torus, or a coupled subtorus coset)
• a witness mechanism that can force coverage in the declared model class
• a perturbation model that fixes what stability under perturbation means

Within the declared applicability class, every declared claim resolves into exactly one audited object:

• WSC: a Witness Stability Certificate proving coverage on the correct target with explicit margins
• WOB: a Witness Obstruction naming the first failed validator predicate in a finite codebook, with evidence pointers

The first reading that makes the project clear

• Syncré Form Theory and the Relational Form Principle
• Syncré Form Theory
• Syncré Certificate Engine

The core artifacts

• SFT Main Paper (PDF)
  • Open
• Syncré Stability Modulus (PDF)
  • Open
• SFT III: Target Inference and Certificates (PDF)
  • Open
• Witness Atlas (PDF)
  • Open
• Global Syncré Universality Theorem (PDF)
  • Open

A concrete, checkable entry point

• Solar–Lunar Local Time and Convergence

Where the engine draws boundaries

• SFT Engine Exhaustiveness (WSC or WOB)
• SFT Boundary Gallery

Downloads

• SFT Submission Bundle (ZIP)
• SFT Sources (ZIP)