add repo structure: proofs/ equations/ qwerty/ figures/ notebooks/

- 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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Alexa Amundson
2026-02-22 17:54:51 -06:00
parent 549e5f658a
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# 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.