COLOR MEANING MEMORY MOTION
Path ζ square-pyramid architecture · v0.1. GRAVITY LIGHT MEMORY MOTION forms the inner controller boundary. Color Meaning Memory Motion names the four typed faces read through Path ζ.
Construction status. This is the planar incidence view of Coneζpath(CΦ), not a physical embedding of the periodic table. Path ζ reads completed controller paths; it does not advance the controller, certify the shell, or make four face realizations identical.
Square-pyramid incidenceselect a face
Outer words name 2-faces. Inner words name controller positions.
No face or interior phase certifies the whole shell.
No face or interior phase certifies the whole shell.
Selected faceFζGL
Color
Gravity · Path ζ · Light
Controller and Path ζ return reader0 / 4 edges carried
Motion
Gravity
Light
Memory
HOLD. Controller installed at Motion. Path ζ has no completed boundary return to read.
Global gate ledgerSHELL OPEN
Color
FζGLCERT CARRIERMeaning
FζLMemKERNEL WITNESSMemory
FζMemMotFORMAL / ζ OPENMotion
FζMotGSCOPE-BOUNDIntertwiner
ιspecPARTIALCertificate
ιrecOPENShell law. A returned controller cycle admits a Path ζ read. It does not emit Endurance until every required intertwiner is typed and an independent shell check returns Cert.
Formal packagecollision-safe tags
Architecture
CMMMᵢ = (CΦ, ζpath, {FColor,FMeaning,FMemory,FMotion}, {ρf}, Cut, RecπRec, Receipt)Reader protocol
Face tags and codomains remain attached.
ζpath : Σf ReturnedPathf(Xf) → Σf CandfFace tags and codomains remain attached.
Reader order
returned path → ζpath read → Adm(Cand)=Admitted ⊔ Refusal → RecπRec → 𝓔Face compatibility
Equality of composites, not resemblance of vocabulary.
Rb ∘ Tab = Zab ∘ RaEquality of composites, not resemblance of vocabulary.
Φ tags
Φoffice = four-office interface.φFib = golden eigenvalue.ζ / J tags
ζpath = reader interface.ζRiem = Riemann function.JFE(s)=1−s and Jcrit(z)=1−z̄ remain distinct.Phase tags
πRec = controller/recognition phase.θphys = physical angle.αtop=θphys/2 = covering angle.Covering return
θphys=2π ⇔ αtop=π ⇔ Utop(π)=−Iθphys=4π gives the blank central return.