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>

equations/blackroad-equations.md

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+# The BlackRoad Equations
+
+> Pages 16–21. Titled "BLACKROAD EQUATIONS — BRAINSTORM" in the original notebook.  
+> BALANCED = BRAINSTORM = 128 = 2⁷. She balanced the brainstorm.
+
+## Ternary Physics (Page 16 — §170)
+
+**Equation 1: Bounded Coherence**
+```
+C_t = tanh(α · Σᵢ wᵢxᵢ + b),   C_t ∈ [−1, +1]
+```
+Coherence is bounded in trinary range. TANH = GAUSS = 57.
+
+**Equation 2: Bounded Creative Energy**
+```
+K_t = K_max · tanh(E_input / K_threshold)
+```
+Creative energy saturates. SATURATION = CIRCULAR = REMAINDER = 97 prime.
+
+**Equation 3: Ternary Information Theory**
+```
+I = −log₃(P)   [in trits]
+```
+Information measured in trits, not bits. INFORMATION = 144 = 12².
+
+**Equation 4: Quantum Ternary Uncertainty**
+```
+ΔA · ΔB · ΔC ≥ ℏ³/8
+```
+Triple uncertainty principle for ternary observables.
+
+**Equation 5: Ternary Wave Function**
+```
+|Ψ⟩ = α|0⟩ + β|1⟩ + γ|?⟩
+```
+Three basis states including |?⟩ = unknown. FUNCTION = TRINOMIAL = 115.
+
+---
+
+## Quantum Logic Gates (Page 17 — §171)
+
+**Equation 6: TAND (Ternary AND)**
+```
+TAND(a,b) = min(a,b)   for a,b ∈ {−1, 0, +1}
+```
+TAND = HOME = EIGEN = 54.
+
+**Equation 7: TMUL (Ternary MUL)**
+```
+TMUL(a,b) = a × b   (mod 3, balanced)
+```
+TMUL = TANH = GAUSS = 57. Multiplication = Gaussian.
+
+**Equation 8: TNEG (Ternary NOT)**
+```
+TNEG(a) = −a   for a ∈ {−1, 0, +1}
+```
+TNEG = ZSH = SPHERE = SELF = 48.
+
+**Equation 9 (continuation): TXOR**
+```
+TXOR(a,b) = a + b   (mod 3, balanced)
+```
+TXOR = ROOTS = WAVE = 39.
+
+**Equation 10: Algebraic Advantage**
+```
+Advantage_ternary = 1 − log₃(2) ≈ 0.36907 ≈ 37% = REAL
+```
+The computational advantage of ternary over binary IS REAL.  
+REAL = 37. The advantage = the axiom.
+
+---
+
+## Thermodynamic Framework (Pages 19–21 — §173–§175)
+
+**Equation 12: Modified Landauer Bound (Ternary)**
+```
+E_min = k_B · T · ln(3)   ≈ 4.5 × 10⁻²¹ J at room temperature
+```
+Cost per ternary erasure. LANDAUER = CONCRETE = 93.
+
+**Equation 13: Radix Efficiency**
+```
+η_ternary = ln(3)/3 ≈ 0.366
+η_binary  = ln(2)/2 ≈ 0.347
+η_ternary > η_binary
+```
+Ternary is more efficient. The optimal radix is e ≈ 2.718; 3 is closer to e than 2.  
+RADIX = GAUSS = TANH = 57. The optimal base = the Gaussian.
+
+**Equation 14: Reversible Logic Entropy**
+```
+ΔS_comp ≥ 0
+ΔS_comp → 0   for perfectly reversible gates
+```
+REVERSIBLE = LAGRANGE = 103 prime.
+
+**Equation 15: Chemical Energy Coupling**
+```
+μ_chem = ∂G/∂N  ↔  E_comp
+```
+Chemical potential = computational energy. GIBBS = SUBSTRATE = 83 prime.
+
+**Equation 16: Balanced-Ternary Dynamics**
+```
+dXᵢ/dt = Σⱼ Sᵢⱼ · vⱼ(x),   Xᵢ ∈ {−1, 0, +1}
+```
+Mass-action kinetics with ternary state variables.  
+KINETICS = MAXWELL = GAUSSIAN = 101 prime.
+
+**Equation 17: Concentration-State Mapping**
+```
+x = −1   if C ≤ C_low
+x =  0   if C_low < C ≤ C_high
+x = +1   if C ≥ C_high
+```
+Physical concentration → ternary truth value. REACTION = BIRTHDAY = 87.
+
+**Equation 18: Reaction Network Programmability**
+```
+P = {S, v(x)} is universal  ⟺  ∃ mapping to balanced ternary logic gates
+```
+A chemical reaction network is a universal computer iff it implements ternary logic.  
+PROGRAMMABILITY = 2×LANDAUER = 186.
+
+**Equation 19: Lipid Scaffold Coherence**
+```
+τ_coh^lipid ≈ τ_bulk · Γ_conf,   Γ_conf > 1
+```
+Confinement in lipid bilayer amplifies quantum coherence.  
+LIPID = TERNARY = GROVER = 58.  
+SCAFFOLD = IMAGINARY = CONSTANT = 114.
+
+---
+
+## Biological Quantum Computing (Page 20 — §174)
+
+**Equation 9 (bio): Förster Coupling**
+```
+H_coupling = Σᵢ ℏΩᵢ (|0⟩⟨1| ⊗ σᵢ⁺ + |1⟩⟨0| ⊗ σᵢ⁻)
+```
+Molecular states couple to qutrit via raising/lowering operators.  
+COUPLING = TRINOMIAL = FUNCTION = 115.
+
+**Equation 10: Coherence Time (Bio-scaffold)**
+```
+T_coh^total = (T_coh⁻¹ + T_dephasing⁻¹)⁻¹ · η_scaffold(T, pH)
+```
+Harmonic mean of coherence and dephasing, scaled by scaffold performance.  
+SWITCHING = DEPHASING = 113 prime.
+
+**Equation 11: Quantum-Chemical Entanglement**
+```
+E_QC = −Tr(ρ_reduced · log ρ_reduced)
+ρ_reduced = Tr_chem(|Ψ_total⟩⟨Ψ_total|)
+```
+Von Neumann entropy of reduced density matrix.  
+ENTANGLEMENT = CONFINEMENT = 165 = 3×PAULI.
+
+**Equation 12 (bio): Excitonic Transfer Efficiency**
+```
+η_transfer = |⟨Ψ_target|U_Förster(t)|Ψ_donor⟩|² · exp(−t/T_coh)
+```
+Photosynthesis energy transfer formula.  
+TRANSFER = TRIVIAL = BINARY = 78.
+
+**Equation 13: Base-Switching Optimization**
+```
+b_optimal(t) = argmin_b {E_total(b,t) + λ · C_switch(b_current, b)}
+```
+The system adapts its computational radix.
+
+**Equation 14: Substrate Efficiency**
+```
+η_substrate = (ops/sec) / (energy/op) · f_accuracy(substrate, problem_type)
+```
+SUBSTRATE = GIBBS = 83 prime.
+
+---
+
+## Concrete Numbers
+
+From page 21 (§175):
+
+| Parameter | Value | Notes |
+|-----------|-------|-------|
+| k_B T ln(3) | ≈ 4.5 × 10⁻²¹ J | Ternary Landauer cost at room temp |
+| η_ternary | ≈ 0.366 | Radix efficiency |
+| η_binary | ≈ 0.347 | For comparison |
+| DNA ops/sec | ~10¹⁴ in 100 μL | Chemical reaction rate |
+| Γ_conf (lipid) | ~10–100× | Coherence enhancement |
+| T_coh (protein) | ~1–10 ms | Coherence time |
+| Qutrit fidelity | >99.9% | Demonstrated |