`UniversalStructure`

definition

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module: IndisputableMonolith.RRF.Foundation.UltimateIsomorphism
domain: RRF
line: 38 · github
papers citing: none yet

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IndisputableMonolith.RRF.Foundation.UltimateIsomorphism on GitHub at line 38.

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formal source

  35
  36This is the "One Thing" that manifests as physics, logic, and experience.
  37-/
  38structure UniversalStructure where
  39  /-- The state space (fixed to ℝ for simplicity). -/
  40  State : Type
  41  /-- The recognition relation. -/
  42  recognizes : State → State → Prop
  43  /-- Self-recognition exists. -/
  44  has_self_recognition : ∃ s, recognizes s s
  45  /-- The universal strain functional. -/
  46  strain : State → ℝ
  47  /-- Strain is non-negative. -/
  48  strain_nonneg : ∀ s, 0 ≤ strain s
  49
  50/-! ## Embedding Structures -/
  51
  52/-- A physics theory (simplified). -/
  53structure PhysicsTheory where
  54  /-- Physical states. -/
  55  State : Type
  56  /-- Energy functional. -/
  57  energy : State → ℝ
  58
  59/-- A logic system (simplified). -/
  60structure LogicSystem where
  61  /-- Propositions. -/
  62  Prop' : Type
  63  /-- Provability. -/
  64  proves : Prop' → Prop' → Prop
  65
  66/-- A qualia space (simplified). -/
  67structure QualiaSpace where
  68  /-- Experience states. -/

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