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