preprintOpen MINDMar 1, 2026GREEN OA

Existence as Fixed Point: A Meta-Theory of Deterministic Collapse

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Abstract

Three companion papers establish a closed triangulation: a formal algebra of collapse-based computation [1], a proof that natural systems satisfy the algebra's preconditions because death provides the exhaustive veto partition [2], and a structural connection between the algebra's fixed-point distinction and seven open mathematical frontiers [3]. This paper presents the meta-theory — the claim that emerges when the three results are read together. The claim is existential: existence itself is the fixed point. Not a property of existence, not something existence has — existence is the collapse to purity, the return to the ground state, the structure that persists when everything else is extinguished. The…

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Topics & keywords

Keywords
  • Open set
  • Connection (principal bundle)
  • Boundary (topology)
  • Sign (mathematics)
  • Disjoint sets
  • Set (abstract data type)
  • Zero (linguistics)
  • Duality (order theory)
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