experimentalStatus
Current experimental constraints on particle physics strongly support exactly three generations of fermions, as encoded in this list of status reports. A physicist working on beyond-Standard-Model physics would cite this when checking consistency with the Recognition Science derivation of generation number from the eight-tick cycle in three dimensions. The definition simply enumerates three key experimental results without further computation.
claimLet experimentalStatus be the list of pairs (falsifier type, status) consisting of (fourth-generation search, ruled out for Standard-Model-like particles), (Z-boson width measurement, $N_ν = 2.984 ± 0.008 ≈ 3$), and (cosmological bounds, $N_{eff} ≈ 3$ from Big Bang nucleosynthesis and cosmic microwave background).
background
GenerationFalsifier is a structure that records a potential falsification type as a string together with its current experimental status as a string. The module derives the existence of exactly three fermion generations from the eight-tick cycle (period $2^3$) crossed with three spatial dimensions, where the eight phases are indexed by three bits each corresponding to one orthogonal direction and generations arise as the three distinct parity combinations across those dimensions. Upstream results supply the underlying anchor map Z on sectors and the self-reference structure that forces the eight-tick octave.
proof idea
This is a direct definition that constructs the list of three experimental status entries by enumerating the pairs for fourth-generation searches, Z-width data, and cosmological bounds.
why it matters in Recognition Science
This declaration records the experimental support for the three-generation result derived from the 8-tick octave and three spatial dimensions (T7 and T8) in the Recognition Science framework. It closes the loop between the mathematical derivation in the module and observable physics, addressing the open question of why there are three fermion families. No downstream theorems depend on it yet.
scope and limits
- Does not prove the three-generation hypothesis from first principles.
- Does not enumerate every possible experimental constraint on generations.
- Does not derive mass ratios or the phi-ladder pattern.
- Does not address alternative derivations that might yield a different generation count.
formal statement (Lean)
209def experimentalStatus : List GenerationFalsifier := [
proof body
Definition body.
210 ⟨"4th generation search", "Ruled out for SM-like particles"⟩,
211 ⟨"Z-width measurement", "N_ν = 2.984 ± 0.008 ≈ 3"⟩,
212 ⟨"Cosmological bounds", "N_eff ≈ 3 from BBN and CMB"⟩
213]
214
215end ThreeGenerations
216end Physics
217end IndisputableMonolith