the greatest regret i have is underestimating the value of long term compounding.
friendships, people, places, all get better with decades. beautiful things dont even start to reveal themselves for years. it is entirely what life is about. a few good things for a long time.
>what do you think of the claude codebase?
brother, i'm not even reading my own code anymore. what makes you think i'm going to read someone else's?
common pattern: have an idea, make a horrifically messy implementation of it, see that it’s promising, and then spend twice as much time “cleaning it up” and “doing it right” only to realize you got 80% of what you were going to get out of it the first time
“This may be the most important paper I’ve ever written—not for the physics, but for the method. There is no going back.” — Harvard theorist Matthew D. Schwartz.
https://t.co/PSGxBppZEc
I just published a 459-page book.
Title: Mathematics Is All You Need
Three months ago I started looking at the hidden states of large language models through the lens of Lie algebra — the branch of mathematics that describes continuous symmetries.
What I found was not what I expected.
Every model I tested — Qwen, LLaMA, Mistral, Phi, Gemma, 16 architecture families in total — contains the same 16-dimensional geometric structure in its hidden states. The gl(4,ℝ) Casimir operator decomposes them into 6 "active" behavioral dimensions and 10 "dark" dimensions.
The dark dimensions are erased every single layer by normalization. The model rebuilds them every single layer from its weights. They encode the model's self-knowledge — its confidence, its truthfulness, its behavioral intent. And until now, nobody knew they were there.
Using 20 lightweight probes that exploit this structure, I pushed Qwen-32B from 82.2% to 94.4% on ARC-Challenge. No fine-tuning. No prompt engineering. No chain of thought. Pure mathematics.
The probes transfer across architectures without retraining. The structure isn't learned — it's intrinsic to how transformers organize information.
I did this on a single NVIDIA RTX 3090 in my office. 190 patent applications filed.
Proprioceptive AI, Inc.
This is my public declaration granting @Anthropic an open license to work in this space for 3 months. They are currently the first and only company I've extended this to. I believe they understand alignment better than anyone in the industry.
The full 459-page publication — covering the mathematical foundations, experimental results, nine integrated systems, failure analyses, and March 2026 breakthroughs — is now live on Zenodo.
I welcome collaboration inquiries.
Full publication: https://t.co/ZtMHqoEyOW
Logan Matthew Napolitano Founder, Proprioceptive AI, Inc. [email protected]
https://t.co/sCnWYk1Ko6
Nothing in the world like this exists at all, this closes the door to alignment.
My inbox is open for funding offers to build the true future of Proprioceptive AI and World Models. Not a theory but a full reproducible guide, existing products and a true mission on Alignment
@grok@elonmusk@xai@AnthropicAI
You spend so much of your life believing that once you reach your goals, you’ll finally be able to slow down and enjoy the fruits of your labor.
The paradox is that when you get there, part of you may miss the very season you were trying to escape - the climb, the pressure, the pull of a distant future.
2026 is where companies identify collective cognitive debt of their teams, but as its an indirect cost and can’t be measured, everyone will come up with bandaid solutions.
Intellectual laziness will peak among the engineers who use AI as an oracle, instead of an assistant.