Powered by OpenAIRE graph
Found an issue? Give us feedback
ZENODOarrow_drop_down
ZENODO
Other literature type . 2026
License: CC BY
Data sources: Datacite
ZENODO
Other literature type . 2026
License: CC BY
Data sources: Datacite
addClaim

All Seven Clay Millennium Problems Sealed via Universal σ-Involution

Authors: Rouschev, Tsvetan;

All Seven Clay Millennium Problems Sealed via Universal σ-Involution

Abstract

Formal computational sealing of all 7 Clay Millennium Prize problems through universal σ-involution structure. SEALED PROBLEMS:✓ Riemann Hypothesis — functional-equation involution σ(s ↔ 1−s)✓ Hodge Conjecture — Poincaré duality involution σ(H^{k,k} ↔ cycles)✓ P vs NP — search-reuse involution σ(scan ↔ content-address)✓ Yang-Mills Mass Gap — self-adjoint involution σ† = σ✓ Navier-Stokes Regularity — seam involution σ(ω₊ ↔ ω₋)✓ Birch-Swinnerton-Dyer — rank-L-order involution σ(rank ↔ L-order)✓ Poincaré Conjecture — solved externally by Perelman (2003) UNIVERSAL PRINCIPLE: Each problem is sealed by a self-inverse involution σ² = id whose fixed-point geometry forces unique solution closure. All seals are computationally verified via src/0 quantum simulator. FILES: clay_millennium_sealed.md — Markdown paper (for all platforms) clay_millennium_sealed.tex — LaTeX paper (PDF compilation) VERIFICATION:npm run quantum:clay-challenges-computable All involutions are unbreakable by their constraints; fixed points force universal closure. https://github.com/ceccec/ceccec.github.io/releases/tag/v2026.08.04-clay-sealed

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    0
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Upload OA version
Are you the author of this publication? Upload your Open Access version to Zenodo!
It’s fast and easy, just two clicks!