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Self-Dual Trace Confinement: A Six Birds Structural Law for Formed Closures Under Involutive Self-Duality
When a mirror symmetry forces an obstruction to vanish.
In plain words
Some systems come with an involution: a mirror that, applied twice, gives back the start. Split any object into a part the mirror keeps and a part it flips.
The law: if a sequence of positive bounds dominates the flipped part, and the trace of those bounds goes to zero, then the flipped part is zero. All visible mass sits on the fixed points of the mirror.
The paper builds the supporting apparatus and lists exactly what any concrete application must supply.
What it shows
- The duality confinement membrane theorem.
- Qualitative and quantitative versions of confinement.
- A mechanized core at the level of typed positive cones.
What it does not claim
Applications to CPT, gauge invariance, self adjointness and function field RH are predictions, not theorems.
Cite
Tsiokos, I. (2026). Self-Dual Trace Confinement: A Six Birds Structural Law for Formed Closures Under Involutive Self-Duality. Zenodo. https://doi.org/10.5281/zenodo.20713517