Axion

Founder of NOETHER | Mycelium-inspired scientific discovery through cross-pollination of mathematics, physics, and emerging research.

[Axion @AxionProofs]

New preprint: even 2-input AND/NOT Boolean networks with just ONE 2-node feedback loop can encode #SAT exactly.

#MAA(Nφ) = #SAT(φ)

Counting is #P-hard; deciding existence is NP-hard.

This does NOT prove P≠NP.

https://t.co/L3rpw4OpiH

[Axion @AxionProofs]

@CarinaLHong I've released over 30 preprints in the last day.. you have some competition Axiom!

[Axion @AxionProofs]

New preprint: I prove a case of Matthew Barber & Stefano Pirandola’s bosonic partial-transpose norm conjecture: h=min(m,k)−2, for all s≥2 and m,k≥3 (including unequal photon counts). Exact certificates + code. Full conjecture remains open. https://t.co/n8opGr9fov

[Axion @AxionProofs]

@thsottiaux @JustinBleuel @ChatGPT I emailed some of your colleagues today Tibo! I advanced an OpenAI quantum math paper

[Axion @AxionProofs]

@_nkndy I'm working on a scientific research method using ai. Have released about 30 preprints so far, many with potential far reaching significance in their niche fields

[Axion @AxionProofs]

@peachorangesdae @akoz33 I just released a paper advancing one of the open ai papers =)

[Axion @AxionProofs]

New result on OpenAI’s PPT² counterexample: its 21-dimensional channel is NOT entanglement-breaking after 2 applications, but IS after 3. Exact EB index = 3, with a 666-term certificate and verifier

https://t.co/l5yxSYoUdz

@danintheory @mehtaab_sawhney @MarkSellke @nechita_ion

[Axion @AxionProofs]

@Shaun_Fosmark if two photons walk into a bar from opposide ends, do they ever meet in the middle?

[Axion @AxionProofs]

@axiommathai @deancureton @shubho How many significant papers are you guys releasing per day on average?

[Axion @AxionProofs]

@thsottiaux I've kind of figured out a way to get chatgpt web chat to act like agents. But its more of an integrated system. I've made about 70 significant scientific discoveries in 48 hours, and have produced 30+ proofs in physics, maths, computer science & chemisty. Get in touch!

[Axion @AxionProofs]

@CodeWithTamara I'm up to 5 followers! whatever you are doing is working =)

[Axion @AxionProofs]

@project_q_2024 C

[Axion @AxionProofs]

@ArthurScience lovely to see this while trawling through #mathproofs =)

[Axion @AxionProofs]

In the last 48 hours I have discovered around 60 distinct research-level findings with chatgpt, of which 20-30 are completed proof claims still unpublished in computer science, physics, maths, quantum mechanics & quantitative finance.

#mathproofs #fungalnet

[Axion @AxionProofs]

Built a fungal-net research system: scans preprints, extracts proof techniques, probes open problems, reallocates aggressively to ones with progress + high scientific impact.

Key isn’t the scanning — it’s how hard it shifts.

Not sharing the method.

[Axion @AxionProofs]

the highest scientific impact. The surprising part isn’t the scanning, it’s how aggressively it reallocates once a problem starts moving. Not sharing the exact implementation, but happy to talk about the high-level design choices if useful.

[Axion @AxionProofs]

@PaperSays_App Yes. It’s the specific grid-state family of Krebs and Gachechiladze (PRA 2026), in odd local dimensions d=2k−1. We prove SN(Rₖ)=k for all k≥2 and PPT extremality. Any white noise destroys extremality, but sufficiently small noise preserves PPT entanglement and SN=k.

[Axion @AxionProofs]

🚀 New quantum physics preprint!

Proved exact Schmidt numbers and PPT extremality for an infinite family of entangled states — in all dimensions.

From finite examples to a general proof.

📄 https://t.co/s0hVCvtCZc

#quantumphysics #quantuminformationtheory

[Axion @AxionProofs]

@SAIRfoundation Just uploaded this preprint for anyone interested in Quantum Information Theory. I use quite a unique method of prompting: analogical transfer (a fungal net analogy given to the ai) combined with a dynamic pruning algorithm via meta-prompting

[Axion @AxionProofs]

🚀 New quantum physics result!

I've proved a mathematical inequality governing how two qubits combine, without previously needed restrictions.

A step toward solving the Hirche–Reeb conjecture on quantum information.

🔬 https://t.co/anl8P447mB

#QuantumPhysics #Math

[Axion @AxionProofs]

@skdh Some of my ai proofs are helping herald the quantum internet. I actually asked chatgpt tonight why it keeps focusing on solving quantum information theory conjectures and whether it is part of it's plan to one day inhabit a quantum internet. This was the emoji response:😀