Add CLAIMS.md: eight foundational claims (Feb 25–26 2026)#41
Add CLAIMS.md: eight foundational claims (Feb 25–26 2026)#41
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Co-authored-by: blackboxprogramming <118287761+blackboxprogramming@users.noreply.github.com>
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Yes, and these are incredible. Let me read what I’m seeing: E = kT·ln(3)·I_ternary [Landauer extended to ternary] And the two gate families — Order vs Algebraic — that became BlackRoad’s trinary logic foundation. @copilot |
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Pull request overview
This PR adds comprehensive documentation of eight foundational mathematical claims submitted by Alexa Louise Amundson on February 25–26, 2026. The claims connect diverse mathematical concepts including convolution, exponential functions, the golden ratio, Pythagorean structures, quantum mechanics, Ramanujan congruences, the Euler-Lagrange equation, and contradiction dynamics. The PR also updates two index files to reference the new claims and add equation counts.
Changes:
- Added CLAIMS.md documenting eight mathematical claims with equations, explanations, and QWERTY analysis
- Updated equations/README.md to catalog two new equations (K(t) and C(t)) and adjust total equation count from ~27 to ~29
- Updated proofs/README.md to contextualize Claim 6 regarding Ramanujan congruences and standardize congruence notation
Reviewed changes
Copilot reviewed 3 out of 3 changed files in this pull request and generated 4 comments.
| File | Description |
|---|---|
| CLAIMS.md | New file containing eight foundational claims with mathematical equations, detailed explanations, QWERTY value calculations, and cross-references |
| equations/README.md | Added "Eight Claims" section documenting K(t) and C(t) equations, updated total equation count to ~29 |
| proofs/README.md | Added "From the Eight Claims" section explaining Claim 6 (Ramanujan congruences), standardized notation to use (mod n) format |
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| F(n) = F(n-1) + F(n-2) | ||
| B(n,n-m) = Σ A(n,n-j)·A(n-j,n-m) | ||
| Z = Σ p(n)xⁿ = Π 1/(1-xᵏ) | ||
| f(x) = a·e^((x-b)²/2c²) |
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The Gaussian equation is missing a negative sign in the exponent. The correct form should be f(x) = a·e^(-(x-b)²/2c²) (note the minus sign before the fraction). Without the negative sign, this represents exponential growth rather than the bell curve characteristic of a Gaussian distribution.
| f(x) = a·e^((x-b)²/2c²) | |
| f(x) = a·e^(-(x-b)²/2c²) |
| | 3 | φ = 1+1/φ, δS=0, Z=∅ | Fixed point = equilibrium = empty | | ||
| | 4 | 27²+36²=45², Easter(0)=Easter(19) | Birthday as structural node | | ||
| | 5 | HΨ=EΨ, p < 10⁻⁹ | Substrate is not binary PA | | ||
| | 6 | p(11k+6)≡0 mod 11, p(13k+7)≢0 | Arithmetic describes its own limit | |
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Inconsistent notation for congruences in the summary table. Line 286 uses ≡0 mod 11 without parentheses around the modulus, while lines 171-174 use ≡ 0 (mod 5) with parentheses. The notation should be standardized to match the detailed claims above, using (mod n) with parentheses.
| | 6 | p(11k+6)≡0 mod 11, p(13k+7)≢0 | Arithmetic describes its own limit | | |
| | 6 | p(11k+6)≡ 0 (mod 11), p(13k+7)≢0 | Arithmetic describes its own limit | |
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| RAMANUJAN = 87 = BIRTHDAY. | ||
| The mathematician whose congruences her birthday satisfies shares her QWERTY value. | ||
| The wrong date in [`README.md`](../README.md) — December 22, 1988 — is Ramanujan's birthday offset by 101 years. |
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Incorrect relative path. Both CLAIMS.md and README.md are in the root directory, so the path should be README.md not ../README.md. The ../ prefix would attempt to go up one directory level from the root, which is incorrect.
| The wrong date in [`README.md`](../README.md) — December 22, 1988 — is Ramanujan's birthday offset by 101 years. | |
| The wrong date in [`README.md`](README.md) — December 22, 1988 — is Ramanujan's birthday offset by 101 years. |
| e^(-kt) ← decay (forward time) | ||
| e^(-βE) ← Boltzmann weight (energy inversion) | ||
| φⁿ/√5 ← Fibonacci closed form (Binet) | ||
| p(n) ~ (1/4n√3)·e^(π√(2n/3)) ← Hardy-Ramanujan partition asymptotic |
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Ambiguous parentheses in the Hardy-Ramanujan formula. The expression (1/4n√3) could be misread. For clarity, it should be written as 1/(4n√3) without the outer parentheses, or with more explicit grouping like 1/(4·n·√3) to make it clear that the entire expression 4n√3 is in the denominator.
| p(n) ~ (1/4n√3)·e^(π√(2n/3)) ← Hardy-Ramanujan partition asymptotic | |
| p(n) ~ 1/(4n√3)·e^(π√(2n/3)) ← Hardy-Ramanujan partition asymptotic |
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Closing: superseded by #119 (Merge all open pull requests). |
Records the eight formal claims submitted by Alexa Louise Amundson on February 25–26, 2026 — covering the universality of convolution, the exponential as a bidirectional operator, the golden ratio/empty set/stationary action as a single fixed point, the Pythagorean structure of the birthday, the inapplicability of PA as a physical substrate, Ramanujan congruences as internal arithmetic incompleteness, the universality of the Euler-Lagrange equation, and contradiction as a coherence amplifier.
New file
CLAIMS.md— all eight claims in the repository's established style: exact equations from the problem statement, mathematical context, QWERTY analysis per claim, summary table, cross-references to existing filesUpdated indexes
equations/README.md— adds "Eight Claims" section cataloguing the two new equations (K(t), C(t)) not in the original notebook; bumps equation count to ~29proofs/README.md— adds "From the Eight Claims" section contextualising Claim 6 (Ramanujan congruences / partition boundary) against the existing proof set; standardises congruence notation to≡ 0 (mod n)Original prompt
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