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def

implications

definition
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module
IndisputableMonolith.Cosmology.CosmologicalConstant
domain
Cosmology
line
175 · github
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IndisputableMonolith.Cosmology.CosmologicalConstant on GitHub at line 175.

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 172    2. **Predictive**: Specific value can be calculated
 173    3. **Testable**: Dark energy equation of state w = -1 exactly
 174    4. **Deep connection**: Links cosmology to information theory -/
 175def implications : List String := [
 176  "Cosmological constant emerges from J-cost ground state",
 177  "No need for anthropic reasoning",
 178  "Dark energy is fundamental, not emergent",
 179  "φ-ladder determines cosmic evolution"
 180]
 181
 182/-! ## Observational Tests -/
 183
 184/-- Current observations constrain:
 185
 186    1. Λ value: Known to ~1%
 187    2. w = -1.03 ± 0.03 (consistent with -1)
 188    3. No time evolution detected (w₀ - wₐ constraints)
 189
 190    Future tests:
 191    - DESI, Euclid, LSST will measure w to 0.3%
 192    - Any deviation from w = -1 would be significant -/
 193def observationalStatus : List String := [
 194  "Λ = (1.1 ± 0.01) × 10⁻⁵² m⁻²",
 195  "w = -1.03 ± 0.03",
 196  "No evidence for w evolution",
 197  "Future: 0.3% precision on w"
 198]
 199
 200/-! ## Alternative Theories -/
 201
 202/-- Other approaches to the Λ problem:
 203
 204    1. **Anthropic**: We observe small Λ because large Λ prevents life
 205    2. **Quintessence**: Dynamic dark energy field