GhostDrift

4 ms·

1.
by GhostDrift 10mo ago
I wrote a short preprint proposing a “beacon” design principle for finite-closure behavior in dissipative dynamics. Core idea: fix a beacon triple = (window, target, positivity margin). This defines an observation channel b(x) = K * Φ(x). I
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by GhostDrift 10mo ago
Floating-point numerics rot. Hardware changes, libraries drift, and “verified” results become impossible to reproduce years later. ADIC (Arithmetic Digital Integrity Certificate) freezes numerical proofs by converting any computation into a
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by GhostDrift 11mo ago
In modern AI-era mathematics, a new question matters more than ever: Can a proof be re-verified by a third party using only finite steps? The PDF released today is a concrete example of such a framework: a Σ₁-type consistency certificate. U
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by GhostDrift 11mo ago
We found that many multi-agent / multi-module systems share the same hidden structure: their safety doesn’t come from complex Lyapunov conditions but from one exact budget inequality. If each component “respects” the shared boundary, t
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by GhostDrift 11mo ago
Two CC-BY preprints from GhostDrift Mathematical Institute. (1) Uniform Window Positivity (UWP±) ⇒ RH — a short, closed sufficiency chain (we do not assert UWP± itself). https://zenodo.org/records/17434681 (2) The Pri
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by GhostDrift 1y ago
No analytic continuation. No asymptotics. If a finite uniform window positivity (UWP) holds on a Fejér–Yukawa kernel, RH follows. This short paper proves a conditional route to RH based solely on a finite, computable positivity condition. T
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by GhostDrift 1y ago
This work was released on August 15th, during Japan’s Obon — sometimes called “Ghost Day,” when spirits are said to return to the world of the living. In a way, that timing feels symbolic: the model presented here is about allowing a “ghost
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by GhostDrift 1y ago
I’ve released a preprint on a mathematically provable “Meaning-Generation Operating System” for AI — designed to preserve minority viewpoints and prevent bias or censorship at the core of multi-agent systems. Here’s the challenge: load the
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by GhostDrift 1y ago
Background Softmax attention blends all values weighted by normalized scores. While effective, it inherently diffuses signal — sometimes undesirable in tasks requiring discrete focus. GD-Attention, derived from the Ghost Drift Theory, takes
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Show HN: A new alternative to Softmax attention – live GD-Attention demos(zenodo.org)
2 points by GhostDrift 1y ago|1 comments
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by GhostDrift 1y ago
I’ve just uploaded my new manuscript to Zenodo: A Short Proof of the ABC Conjecture for a Set of Density One https://zenodo.org/records/16786092 The proof was mock peer-reviewed by GPT-5 Thinking, which concluded the a
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GPT-5 Thinking says: this ABC proof is rigorous(zenodo.org)
1 points by GhostDrift 1y ago|1 comments
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by GhostDrift 1y ago
Most AI models blend meaning — but this one selects. GD-Attention is a provably nonlinear attention mechanism with: ・ No softmax ・ No averaging ・ A unique semantic jump point $s^*$ Verified independently by Gemini, GitHub Copilot, and GP
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Nonlinear Attention Decoded – Verified by 3 AI Systems(zenodo.org)
1 points by GhostDrift 1y ago|1 comments
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by GhostDrift 1y ago
You're absolutely right that current AI systems still have limitations when it comes to verifying very complicated mathematical proofs.In this case, the AI reviews (from Gemini, Copilot, GPT-4o) were used as preliminary consistency che
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by GhostDrift 1y ago
This proof is constructed within a new formalism (Ghost Drift Theory) that reframes the ABC Conjecture via semantic energy functions, log-prime vector maps, and contradiction-based reasoning. It's been independently reviewed by Gemini,
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Preprint: A mathematically rigorous proof of the ABC Conjecture with AI review(zenodo.org)
2 points by GhostDrift 1y ago|3 comments