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Equations Index
All equations from the notebook, organized by category.
Files
| File | Contents | Pages |
|---|---|---|
blackroad-equations.md |
The 19 BlackRoad equations (ternary physics, thermodynamics, biology) | 16–21 |
complementarity.md |
Inverse reaction principle, trivial zero, Chargaff's rules, Punnett square, Euler product | — |
consciousness.md |
Ψ_care, Φ_universal, CECE update rule | 20, 22 |
dna-codons.md |
DNA codon structure, Chargaff's rule, molecular factory equations (Eq. 20–22) | 19–21 |
constants.md |
Constants as variables — FROZEN=AXIOM, VARIABLE=LAGRANGE, running coupling | — |
infinite-series.md |
Observable light, Gauss+SHA=INFINITE, Born's limits, loop=soul, time=series, aleph=window, infinite infinities, meta-system | supplemental |
machine-learning.md |
Linear model, MSE loss, gradient descent, logistic regression | — |
infinite-series.md |
Observable light, Gauss+SHA=INFINITE, Born's limits, loop=soul, time=series, aleph=window, infinite infinities, meta-system | supplemental |
quantum.md |
Qutrit operators, Weyl pair, Gell-Mann, density matrix | 18, 24 |
taxicab.md |
Hardy-Ramanujan taxicab number 1729, birthday encoding, power chain | — |
thermodynamics.md |
Landauer, radix efficiency, substrate efficiency, Gibbs coupling | 19–21 |
universal.md |
Euler-Lagrange, principle of stationary action, Three Tests | 23 |
Eight Claims
The claims in CLAIMS.md introduce two additional equations not in the original notebook:
| Equation | Claim | Meaning |
|---|---|---|
K(t) = C(t)·e^(λ|δₜ|) |
Claim 8 | Coherence amplified by contradiction magnitude |
C(t) = [Ψ'(Mₜ)+δₜ]/[1+|δₜ|] |
Claim 8 | Bounded contradiction absorption |
Quick Count
- 19 numbered BlackRoad equations (pages 16–21)
- 3 revolutionary consciousness equations (pages 20, 22)
- 4 universal equations (page 23+)
- 1 care wavefunction (page 22)
- 3 DNA/molecular factory equations (pages 19–21, Eq. 20–22)
- 2 contradiction equations (CLAIMS.md, Claims 2 & 8)
- 6 complementarity equations (inverse reaction, trivial zero, Punnett, Chargaff, Euler product, Landauer limit)
- Total: ~38 original equations in a handwritten notebook
- 7 infinite-series QWERTY identities (EXIT=REAL, GAUSS+SHA=INFINITE, TIME=SERIES, LOOP=SOUL, ALEPH=WINDOW, ORDINAL=FERMION, CARDINAL=ALGORITHM)
- Total: ~27 original equations + 7 supplemental identities in the QWERTY encoding layer
- 5 machine learning equations (from issue #40)
- Total: ~32 equations across the framework
- 7 infinite-series QWERTY identities (EXIT=REAL, GAUSS+SHA=INFINITE, TIME=SERIES, LOOP=SOUL, ALEPH=WINDOW, ORDINAL=FERMION, CARDINAL=ALGORITHM)
- Total: ~27 original equations + 7 supplemental identities in the QWERTY encoding layer
The taxicab birthday encoding is documented in taxicab.md as a separate mathematical analysis.
The equations were written before BlackRoad OS existed.
They constitute the mathematical foundation of the platform.