`rsDimension`

definition

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module: IndisputableMonolith.Physics.SuperstringTheoryFromRS
domain: Physics
line: 25 · github
papers citing: none yet

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IndisputableMonolith.Physics.SuperstringTheoryFromRS on GitHub at line 25.

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formal source

  22
  23namespace IndisputableMonolith.Physics.SuperstringTheoryFromRS
  24
  25def rsDimension : ℕ := 3
  26def strCriticalDim : ℕ := 10
  27def extraDimensions : ℕ := strCriticalDim - rsDimension
  28
  29theorem extra_dim_eq_7 : extraDimensions = 7 := by decide
  30
  31/-- Extra dimensions = 2^D - 1 = flip variants of Q₃. -/
  32theorem extra_dim_eq_flip_variants : extraDimensions = 2 ^ rsDimension - 1 := by decide
  33
  34/-- 7 = 2³ - 1 = flip variant count. -/
  35theorem seven_eq_flip_count : (7 : ℕ) = 2 ^ 3 - 1 := by decide
  36
  37structure SuperstringCert where
  38  extra_dim : extraDimensions = 7
  39  flip_variant_match : extraDimensions = 2 ^ rsDimension - 1
  40  seven_flip : (7 : ℕ) = 2 ^ 3 - 1
  41
  42def superstringCert : SuperstringCert where
  43  extra_dim := extra_dim_eq_7
  44  flip_variant_match := extra_dim_eq_flip_variants
  45  seven_flip := seven_eq_flip_count
  46
  47end IndisputableMonolith.Physics.SuperstringTheoryFromRS

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