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"grid" }, { "identifier": "0000 0001 2323 6065", "scheme": "isni" } ], "name": "University of Aveiro" } ], "person_or_org": { "family_name": "Pinho-da-Cruz", "given_name": "J.", "identifiers": [ { "identifier": "0000-0002-7046-4690", "scheme": "orcid" } ], "name": "Pinho-da-Cruz, J.", "type": "personal" } } ], "dates": [ { "date": "2025-10", "description": "Report", "type": { "id": "created", "title": { "de": "Erstellt", "en": "Created" } } } ], "description": "

We apply the drifted spectral framework developed in Clay–Perspective I to the Yang–Mills
mass gap problem. Rather than attempting a resolution of the Jaffe–Witten conjecture, we
identify the precise spectral sector in which the obstruction to a mass gap must reside.
Using bounded spectral drift of the covariant Laplacian, we show that the Baker–Campbell–
Hausdorff expansion isolates a zero-order operator acting as an emergent mass-like analytic
potential. We prove that spectral coercivity of this sector implies the existence of a uniform
mass gap for the effective generator.
The construction preserves gauge covariance, ellipticity, and locality, and reveals a structural
parallel between the Yang–Mills mass gap and the Navier–Stokes regularity problem. This
work localises the mass gap as a concrete spectral coercivity question and opens a clear
programme for further analysis.

", "languages": [ { "id": "eng", "title": { "en": "English" } } ], "publication_date": "2025-12-12", "publisher": "Zenodo", "resource_type": { "id": "publication-report", "title": { "de": "Bericht", "en": "Report" } }, "rights": [ { "description": { "en": "The Creative Commons Attribution license allows re-distribution and re-use of a licensed work on the condition that the creator is appropriately credited." }, "icon": "cc-by-icon", "id": "cc-by-4.0", "props": { "scheme": "spdx", "url": "https://creativecommons.org/licenses/by/4.0/legalcode" }, "title": { "en": "Creative Commons Attribution 4.0 International" } } ], "subjects": [ { "subject": "Yang\u2013Mills theory; mass gap; spectral drift; BCH expansion; covariant Laplacian; spectral coercivity; Clay Millennium Problems." } ], "title": "DRSN XXII: Yang\u2013Mills Mass Gap under Spectral Drift (De Rerum Spectrale Natura, Report XXII, Version 1.0)" }, "parent": { "access": { "owned_by": { "user": "1485997" }, "settings": { "accept_conditions_text": null, "allow_guest_requests": false, "allow_user_requests": false, "secret_link_expiration": 0 } }, "communities": {}, "id": "17910083", "pids": { "doi": { "client": "datacite", "identifier": "10.5281/zenodo.17910083", "provider": "datacite" } } }, "pids": { "doi": { "client": "datacite", "identifier": "10.5281/zenodo.17910084", "provider": "datacite" }, "oai": { "identifier": "oai:zenodo.org:17910084", "provider": "oai" } }, "revision_id": 6, "stats": { "all_versions": { "data_volume": 10721970.0, "downloads": 31, "unique_downloads": 25, "unique_views": 39, "views": 43 }, "this_version": { "data_volume": 10721970.0, "downloads": 31, "unique_downloads": 25, "unique_views": 39, "views": 43 } }, "status": "published", "swh": {}, "updated": "2025-12-19T17:20:50.883880+00:00", "versions": { "index": 1, "is_latest": true } }