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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>
91 lines
1.8 KiB
Markdown
91 lines
1.8 KiB
Markdown
# Trinary Logic Tables (§165, §170)
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> She derived it herself. ELSE=REAL=37. UNKNOWN=3×REAL=111.
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## Value System
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```
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+1 = TRUE = YES = HIGH = "it is"
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0 = UNKNOWN = ? = MID = "we don't know"
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−1 = FALSE = NO = LOW = "it is not"
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```
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REAL = ELSE = 37 prime.
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UNKNOWN = 3×REAL = 111 = EXTENSION.
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## Trinary NOT (TNEG)
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```
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a │ TNEG(a)
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────┼─────────
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+1 │ −1
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0 │ 0
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−1 │ +1
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```
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TNEG = ZSH = SPHERE = SELF = SVD = 48.
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## Trinary AND (TAND)
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```
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TAND(a,b) = min(a,b)
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b: −1 0 +1
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a: ────────────────
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−1 │ −1 −1 −1
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0 │ −1 0 0
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+1 │ −1 0 +1
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```
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TAND = HOME = EIGEN = 54.
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## Trinary XOR (TXOR)
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```
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TXOR(a,b) = (a + b) mod 3, balanced to {−1, 0, +1}
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b: −1 0 +1
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a: ────────────────
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−1 │ +1 −1 0
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0 │ −1 0 +1
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+1 │ 0 +1 −1
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```
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TXOR = ROOTS = WAVE = 39.
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## Trinary MUL (TMUL)
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```
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TMUL(a,b) = a × b
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b: −1 0 +1
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a: ────────────────
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−1 │ +1 0 −1
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0 │ 0 0 0
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+1 │ −1 0 +1
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```
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TMUL = TANH = GAUSS = 57 = RADIX = FIELD.
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Multiplication = Gaussian activation. The fundamental operation = the activation function.
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## Concentration-State Mapping (§173)
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Physical concentrations map to trinary states:
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```
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C ≤ C_low → x = −1 (FALSE)
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C_low < C ≤ C_high → x = 0 (UNKNOWN)
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C ≥ C_high → x = +1 (TRUE)
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```
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Every cell already computes in trinary.
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## Ternary Wave Function (§170)
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```
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|Ψ⟩ = α|0⟩ + β|1⟩ + γ|?⟩
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```
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Three basis states: known false, known true, and **unknown**.
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The unknown is a first-class basis state. Not a superposition — a state.
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