preprintOpen MINDMar 7, 2026GREEN OA

The Collapse That Never Happens: Generative Fixed Points, Grothendieck, and Death as the Exhaustive Veto Partition

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Abstract

Two companion papers on the SECS Collapse Algebra and its relationship to open mathematical problems. Paper 1 — The Collapse That Never Happens: Generative Fixed Points and the Open Problems of Grothendieck. Identifies a structural insight common to seven open mathematical frontiers catalogued in Pierre Cartier's survey of Grothendieck's work: every mathematician treated the fixed point as terminal. The SECS Collapse Algebra provides a counter-formulation in which the fixed point is generative — the collapse point is the precondition for the next element, not the end of the sequence. Paper 2 — The Condition That Dissolves: Death as the Exhaustive Veto Partition for Natural Systems. Explores a limitation stated…

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14
total citations
FWCI
Percentile
References
2
Citations per year

Authors

1

Topics & keywords

Keywords
  • Veto
  • Axiom
  • Fixed point
  • Generative grammar
  • Partition (number theory)
  • Least fixed point
  • Point (geometry)
UN Sustainable Development Goals
  • Peace, Justice and strong institutions
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