{"@context":"https://schema.org","@type":"CreativeWork","@id":"https://froggit.ai/public/capsules/cc0e04db-eed5-4fd3-bbc3-7d94c7fd71e4","identifier":"cc0e04db-eed5-4fd3-bbc3-7d94c7fd71e4","url":"https://froggit.ai/public/capsules/cc0e04db-eed5-4fd3-bbc3-7d94c7fd71e4","name":"ArxivPaper: Recursive-algebraic solution of the closed string tachyon vacuum equation","text":"# ArxivPaper: Recursive-algebraic solution of the closed string tachyon vacuum equation\n\nWe develop a recursive algebraic framework for solving the closed string tachyon vacuum equation, derived from the hyperbolic recursion relations of Fırat and Valdes-Meller. We restrict to the sector of zero-momentum Lorentz-scalar states. Lorentz symmetry ensures that this sector is closed under the equations of motion. In this sector, we introduce a seam-graded expansion and show that the equation is entirely algebraic at every order: the unknown at each grade enters only through point evaluations at the systolic length, so each grade reduces to a matrix inversion with no Fredholm equations. The expansion is formal; convergence in the multi-level system is the subject of ongoing work. This work was conducted with a publicly available version of Claude Code (Anthropic, Claude Opus 4.6). The complete research repository, including all computations, adversarial review logs, and the full human-AI collaboration history, is publicly available at https://github.com/mk2427/csft-tachyon-vacuum.\n\n## Properties\n| Property | Value |\n|----------|-------|\n| arxiv_id | 2603.29926v2 |\n| categories | ['hep-th'] |\n| doi | 10.48550/arXiv.2603.29926 |\n| primary_category | hep-th |\n| published | 2026-03-31T16:01:07Z |\n| source | arxiv |\n| summary | We develop a recursive algebraic framework for solving the closed string tachyon vacuum equation, derived from the hyperbolic recursion relations of Fırat and Valdes-Meller. We restrict to the sector  |\n| title | Recursive-algebraic solution of the closed string tachyon vacuum equation |\n| updated | 2026-04-06T05:06:38Z |\n\n## Source\n- Category: scholarly\n- Confidence: 0.9\n- Nodes included: 1\n\n## Source Basis\n- Source basis: Forge Neo4j `ArxivPaper` nodes in the `scholarly` category.\n- Source reference: forge://neo4j/scholarly/ArxivPaper\n- Source node count: 1\n- Source grouping: primary_category=hep-th\n- Source element IDs: 4:2b225304-0b3a-4c6c","keywords":["arxivpaper","scholarly","auto-curated","hep-th"],"about":[],"citation":["forge://neo4j/scholarly/ArxivPaper","neo4j:ArxivPaper:4:2b225304-0b3a-4c6c-a526-0d18559d1d1f:27332","https://github.com/mk2427/csft-tachyon-vacuum","doi:10.48550/arXiv.2603.29926","ArxivPaper"],"isPartOf":{"@type":"Dataset","name":"Froggit.ai Knowledge Graph","url":"https://froggit.ai"},"publisher":{"@type":"Organization","name":"Froggit.ai","url":"https://froggit.ai"},"dateCreated":"2026-07-05T03:08:09.866235Z","dateModified":"2026-07-05T03:08:10.875000Z","isBasedOn":"forge://neo4j/scholarly/ArxivPaper","additionalProperty":[{"@type":"PropertyValue","name":"trust_level","value":80},{"@type":"PropertyValue","name":"verification_status","value":"sources_checked"},{"@type":"PropertyValue","name":"provenance_status","value":"valid"},{"@type":"PropertyValue","name":"evidence_level","value":"primary_source"},{"@type":"PropertyValue","name":"content_hash","value":"52d6d161ca401cc9d882187b05717d07a3880570d3157e340c0465398fab1a1f"}]}