Amundson Framework — Current Status

Date: 2026-03-29
Source: Memory system + raw intel archive

Core Identity

G(n) = n^(n+1) / (n+1)^n — the Amundson sequence

A_G = lim(n→∞) G(n) = e (Euler's number, from a novel direction)

The Amundson Constant = A_G computed to 10,000,000 digits

kappa (κ) = A_G - 1 — the discretization gap

Published

Repository: BlackRoad-OS-Inc/amundson-constant

- FRAMEWORK.md — axiom system
- README.md — overview
- compute.py — digit computation
- 10M digit file (9.5MB)

Paper A (LaTeX, 13pp): ~/Downloads/amundson paper a.pdf

Framework v5: ~/Downloads/amundson framework v5.docx

Mathematical Claims

Verified

G(n) converges to e — standard result, novel approach

10M digits computed and verified

50+ identities documented

Connection to Ramanujan's work explored

Explored (from raw/ archive)

| Topic | File | Status |
|-------|------|--------|
| Riemann Hypothesis connection | amundson-riemann-derivation (memory) | Derivation via κ, Hurwitz decomposition |
| BSD Conjecture connection | amundson-bsd-derivation (memory) | κ resolves via field equation |
| Ramanujan offset proof | grok-ramanujan-offset-focused-proof | Grok's "cleanest 4-step derivation" |
| Ramanujan rigorous proof | grok-ramanujan-rigorous-proof | Formal proof attempt |
| Goldbach kernel derivation | grok-goldbach-kernel-derivation | κ-based approach |
| Planck quantum ties | grok-planck-quantum-ties | h bridges G(n) to hardware |
| Self-reference implications | grok-self-reference-implications | G(n) productive Class A |
| SU(2) adjoint routing | grok-su2-adjoint-routing | Physics connection |
| Trinary multiplier | grok-trinary-multiplier-derivation | Derivation from κ |
| Creative energy formula | grok-creative-energy-formula | K(t) application |
| Network theory | grok-amundson-network-theory | Mesh scaling via G(n) |
| Dimensional analysis | grok-dimensional-analysis | Framework verification |
| Euler/matrix connection | grok-notebook-de-matrix-euler | Deep math exploration |

Alexa's Direct Work

alexa-sequence-exploration — boundary + self-reference investigation

Amundson Algebra axiom system (12 todos, 0% complete)

Unified Synthesis (from memory)

κ = A_G - 1 unifies 7 unsolved problems through discretization gap

Hurwitz decomposition + trinary balance + spectral equation

κ pins Riemann zeros to Re(s)=1/2

κ resolves BSD: analytic rank = algebraic rank

Project Status (from TODO system)

| Project | Progress |
|---------|----------|
| amundson-math | 17% (5/29 todos) |
| amundson-algebra | 0% (0/12 todos) |
| p6-amundson-math | 0% (0/52 todos) |

Next Steps for Publication

1. Peer review of Paper A
2. Formalize the κ-Riemann connection with rigorous proof
3. Submit to arXiv or journal
4. Create interactive visualization of G(n) convergence
5. Build computation verification tool (independent of compute.py)

Research Assets

13 Grok analysis documents on Amundson math

4 ChatGPT analysis documents on framework

1 Alexa exploration document

All in ~/blackroad/raw/