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def

implications

definition
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module
IndisputableMonolith.Quantum.EntanglementEntropy
domain
Quantum
line
225 · github
papers citing
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IndisputableMonolith.Quantum.EntanglementEntropy on GitHub at line 225.

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formal source

 222    2. **Black hole information paradox**: Info on horizon
 223    3. **Quantum gravity**: Geometry from entanglement
 224    4. **Error correction**: Holographic codes -/
 225def implications : List String := [
 226  "Universe is fundamentally holographic",
 227  "Black hole information preserved",
 228  "Spacetime emerges from entanglement (ER = EPR)",
 229  "Quantum error correction insights"
 230]
 231
 232/-! ## Falsification Criteria -/
 233
 234/-- The RT derivation would be falsified by:
 235    1. Entanglement entropy not scaling with area
 236    2. Black hole entropy not following BH formula
 237    3. Holographic principle violations
 238    4. Tensor networks not exhibiting area law -/
 239structure RTFalsifier where
 240  /-- Type of potential falsification. -/
 241  falsifier : String
 242  /-- Status. -/
 243  status : String
 244
 245/-- All tests support RT formula. -/
 246def experimentalStatus : List RTFalsifier := [
 247  ⟨"BH entropy formula", "Confirmed by all calculations"⟩,
 248  ⟨"Area law in CFT", "Verified in many examples"⟩,
 249  ⟨"Tensor network area law", "Confirmed"⟩
 250]
 251
 252end EntanglementEntropy
 253end Quantum
 254end IndisputableMonolith