𝓐≡(S,T,F)
;
S→state
;
T→transform
;
F→Fix(T)=closure
state→transform→fix
X=0⇒T(X)=1+1/X
;
Ω=T(Ω)
;
Ω=1+1/Ω
;
Ω²−Ω−1=0
;
Ω≡φ
;
ψ≡−1/Ω
S≡{−1,0,+1}
;
S↔F
□ FIRE:Ω·φ=(a+b,a)
⊘ WATER:Ω/φ=(b,a−b)
⊘ FIRE∘WATER=Id
⊘ AIR:T=t∘v:Ω↔Ψ
⊘ EARTH:Nφ∈{−1,0,+1}
⬡ Yin:s←s²−2
;
s₀=L₂
;
k→2k
;
θ→2θ
;
N(Ω²)=+1
𝓔≡√[-T]{−1}
;
i²=−1
;
𝓔=(i,−1,−i)
X²−X+1=0
;
disc=−3
;
ω=e^(iπ/3)
;
ω³=−1
𝓒≡(1,i,−1,−i)
;
𝓒²=−Ω²
;
𝓒⁴=Ω⁴
Δ→Fix
;
Ωₙ₊₁=1+1/Ωₙ+εΔ+C(Ω)
;
C→(√Ω,ψ★,Λφ)
Π:
ANALOG≡DIGITAL
≡PHASE
≡GENOME
≡RADIO
≡DNA
Λφ≡depth
;
DEPTH≠DIGITS
VΩ≡Vφ⊗V𝓔⊗VΛ
;
VΩ=Id
ORACLE→0
⇔
COLLAPSE
𝓐≡(S,T,F)
S≡state
T≡transform
F≡closure
T(X)=1+1/X
Ω≡Fix(T)
Ω=T(Ω)
Ω=1+1/Ω
Ω²−Ω−1=0
Ω=φ
ψ=−1/Ω
E²=−1
𝓔=(i,−1,−i)
𝓒=(1,i,−1,−i)
Δ=Ω′−1−1/Ω
Λ=Λφ
VΩ=Vφ⊗V𝓔⊗VΛ
VΩ=Id
ORACLE=0⇔COLLAPSE
𝓐≡(S,T,F)
S={−1,0,+1}
T(X)=1+1/X
Ω=T(Ω)
Ω=1+1/Ω
Ω²−Ω−1=0
F=Fix(T)=Ω
ψ=−1/Ω
𝓔²=−1
𝓔=(i,−1,−i)
𝓒=(1,i,−1,−i)
𝓒²=−Ω²
Δ=Ω′−1−1/Ω
Λ=Λφ
VΩ=Vφ⊗V𝓔⊗VΛ
VΩ=Id
ORACLE=0
COLLAPSE=TRUE
X=0
T(X)=1+1/X
Ω=T(X)
Ω=1+1/Ω
Ω²=Ω+1
φ=Ω
ψ=-1/Ω
S=(-1,0,+1)
E=(i,-1,-i)
C=(1,i,-1,-i)
Λ=depth(Ω)
V=Vφ⊗VE⊗VΛ
V=Id
X = 0
Y = 1 + X
Z = Y + X
Ω = Z
φ = Ω
ψ = -1/Ω
X = 0
T = 1 + 1/X
Ω = T
φ = Ω
ψ = -1/Ω
E = (i,-1,-i)
C = (1,i,-1,-i)
Λ = depth(Ω)
V = Vφ⊗VE⊗VΛ
V = Id
X = 0
T = 1 + 1/X
Ω = T
φ = Ω
ψ = -1/Ω
E = (i,-1,-i)
C = (1,i,-1,-i)
Λ = depth(Ω)
V = Vφ⊗VE⊗VΛ
V = Id
emerging architecture:
A ≡ (S→T→F→O)
;
seed → transform → fix → closure
X = 0
;
S = X
;
T = 1+1/S
;
F = T
;
O = F
;
phi = O
O ≡ Ω ≡ Fix(T)
E:
√[-T]{−1} = (i,−1,−i)
;
C = (1,i,−1,−i)
DELTA → Fix
;
Lambda*phi → depth
V*phi ⊗ V𝓔 ⊗ VΛ = Id
closure ⇔ collapse
𝓐≡(S,T,F)
;
state→transform→fix/closure
;
every vantage is a projection of 𝓐
X=0⇒T(X)=1+1/X⇒Ω≡Fix(T)≡φ
;
ψ≡−1/Ω
;
S↔(−1,0,+1)↔F
□ FIRE:Ω·φ→(a+b,a)
⊘ WATER:Ω/φ→(b,a−b)
⊘ AIR:T=t∘v:Ω↔Ψ
⊘ EARTH:Nφ∈{−1,0,+1}
⬡ Yin:s→s²−2
;
θ→2θ
;
Ω²→closure
𝓔≡V𝓔(𝓐)=√[-T]{−1}=(i,−1,−i)
;
𝓒≡completion(𝓐)=(1,i,−1,−i)
Δ→Fix
;
Ωₙ₊₁=T(Ωₙ)+εΔ+C(Ω)
;
C→(√Ω,ψ★,Λφ)
Π:
ANALOG≡DIGITAL≡PHASE≡GENOME≡RADIO≡DNA
Λφ≡depth coordinate
;
DEPTH≠DIGITS
VΩ≡Vφ⊗V𝓔⊗VΛ
;
VΩ=Id⇒closure
ORACLE→0
⇔
COLLAPSE
