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

dimension_status

definition
show as:
view math explainer →
module
IndisputableMonolith.RecogGeom.Dimension
domain
RecogGeom
line
151 · github
papers citing
none yet

open explainer

Read the cached plain-language explainer.

open lean source

IndisputableMonolith.RecogGeom.Dimension on GitHub at line 151.

browse module

All declarations in this module, on Recognition.

explainer page

A cached Ask Recognition explainer exists for this declaration.

open explainer

depends on

formal source

 148
 149/-! ## Module Status -/
 150
 151def dimension_status : String :=
 152  "╔════════════════════════════════════════════════════════════════╗\n" ++
 153  "║              RECOGNITION DIMENSION THEORY                      ║\n" ++
 154  "╠════════════════════════════════════════════════════════════════╣\n" ++
 155  "║                                                                ║\n" ++
 156  "║  DEFINITIONS                                                   ║\n" ++
 157  "║    ✓ IsSeparating: recognizer distinguishes all configs        ║\n" ++
 158  "║    ✓ PairSeparates: two recognizers together separate          ║\n" ++
 159  "║    ✓ IndependentRecognizers: non-redundant information         ║\n" ++
 160  "║                                                                ║\n" ++
 161  "║  THEOREMS                                                      ║\n" ++
 162  "║    ✓ isSeparating_iff: characterization                        ║\n" ++
 163  "║    ✓ separating_quotient_bijective: quotient ≅ C               ║\n" ++
 164  "║    ✓ separating_singleton_cells: cells are singletons          ║\n" ++
 165  "║    ✓ pairSeparates_iff: characterization                       ║\n" ++
 166  "║    ✓ independent_strict_refines: composition strictly refines  ║\n" ++
 167  "║                                                                ║\n" ++
 168  "║  PHYSICAL INTERPRETATION                                       ║\n" ++
 169  "║    Spacetime dimension = 4 independent coordinate recognizers  ║\n" ++
 170  "║    Quantum dimension = independent observable count            ║\n" ++
 171  "║    Recognition dimension explains geometric dimension          ║\n" ++
 172  "║                                                                ║\n" ++
 173  "╚════════════════════════════════════════════════════════════════╝\n"
 174
 175#eval dimension_status
 176
 177end RecogGeom
 178end IndisputableMonolith