pith. machine review for the scientific record. sign in
structure

Axion

definition
show as:
view math explainer →
module
IndisputableMonolith.Cosmology.DarkMatter
domain
Cosmology
line
118 · github
papers citing
none yet

open explainer

Generate a durable explainer page for this declaration.

open lean source

IndisputableMonolith.Cosmology.DarkMatter on GitHub at line 118.

browse module

All declarations in this module, on Recognition.

explainer page

Tracked in the explainer inventory; generation is lazy so crawlers do not trigger LLM jobs.

open explainer

depends on

used by

formal source

 115    - From PQ solution to strong CP
 116    - Misalignment production
 117    - Status: Actively searched -/
 118structure Axion where
 119  mass : ℝ  -- eV
 120  decay_constant : ℝ  -- GeV
 121
 122/-- Primordial black holes: BHs from early universe
 123    - Mass range: 10⁻¹⁸-10⁵ M_sun (windows remain)
 124    - Form from density perturbations
 125    - Status: Some windows still open -/
 126structure PBH where
 127  mass : ℝ  -- Solar masses
 128  formation_epoch : String
 129
 130/-! ## RS: Ledger Shadows -/
 131
 132/-- In RS, dark matter = "ledger shadows":
 133
 134    The ledger has different "sectors" based on 8-tick phase:
 135    - **Visible sector**: Phases that couple to photons
 136    - **Dark sector**: Phases that don't couple to photons
 137
 138    Both gravitate (J-cost couples universally to geometry).
 139    But only visible sector emits/absorbs light. -/
 140structure LedgerSector where
 141  phase : Fin 8
 142  couples_to_photon : Bool
 143  gravitates : Bool := true  -- All sectors gravitate
 144
 145/-- The visible sector: phases 0, 2, 4, 6 (even phases). -/
 146def visibleSector : List (Fin 8) := [0, 2, 4, 6]
 147
 148/-- The dark sector: phases 1, 3, 5, 7 (odd phases). -/