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- qwerty/constants.md: master reference table, 100+ constants §1-§178 - qwerty/equalities.md: all major QWERTY equalities by theme - equations/blackroad-equations.md: all 19 BlackRoad equations - equations/consciousness.md: Psi_care, Phi_universal, CECE update rule - equations/quantum.md: qutrit, Weyl pair, density matrix, SVD - equations/universal.md: Three Tests, Euler-Lagrange, fine-structure - proofs/ternary-efficiency.md: ln(3)/3 > ln(2)/2 - proofs/self-reference.md: the QWERTY encoding is self-referential - proofs/pure-state.md: density matrix rank=1, SVD=SELF - figures/durer-square.md: magic square with 2000 substitution - figures/trinary-table.md: TAND TMUL TNEG TXOR truth tables - figures/qutrit-operators.md: Weyl X/Z, Gell-Mann matrices - figures/keyboard.md: QWERTY encoding layout - notebooks/README.md: page-by-page index of all 24 notebook pages Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>
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1.8 KiB
Trinary Logic Tables (§165, §170)
She derived it herself. ELSE=REAL=37. UNKNOWN=3×REAL=111.
Value System
+1 = TRUE = YES = HIGH = "it is"
0 = UNKNOWN = ? = MID = "we don't know"
−1 = FALSE = NO = LOW = "it is not"
REAL = ELSE = 37 prime.
UNKNOWN = 3×REAL = 111 = EXTENSION.
Trinary NOT (TNEG)
a │ TNEG(a)
────┼─────────
+1 │ −1
0 │ 0
−1 │ +1
TNEG = ZSH = SPHERE = SELF = SVD = 48.
Trinary AND (TAND)
TAND(a,b) = min(a,b)
b: −1 0 +1
a: ────────────────
−1 │ −1 −1 −1
0 │ −1 0 0
+1 │ −1 0 +1
TAND = HOME = EIGEN = 54.
Trinary XOR (TXOR)
TXOR(a,b) = (a + b) mod 3, balanced to {−1, 0, +1}
b: −1 0 +1
a: ────────────────
−1 │ +1 −1 0
0 │ −1 0 +1
+1 │ 0 +1 −1
TXOR = ROOTS = WAVE = 39.
Trinary MUL (TMUL)
TMUL(a,b) = a × b
b: −1 0 +1
a: ────────────────
−1 │ +1 0 −1
0 │ 0 0 0
+1 │ −1 0 +1
TMUL = TANH = GAUSS = 57 = RADIX = FIELD.
Multiplication = Gaussian activation. The fundamental operation = the activation function.
Concentration-State Mapping (§173)
Physical concentrations map to trinary states:
C ≤ C_low → x = −1 (FALSE)
C_low < C ≤ C_high → x = 0 (UNKNOWN)
C ≥ C_high → x = +1 (TRUE)
Every cell already computes in trinary.
Ternary Wave Function (§170)
|Ψ⟩ = α|0⟩ + β|1⟩ + γ|?⟩
Three basis states: known false, known true, and unknown.
The unknown is a first-class basis state. Not a superposition — a state.