Seeking arXiv cs.AI endorsement — independent researcher, cognitive architecture with E₈ Lie algebra memory substrate
Thanks for the welcome — and good catch, I’ll add the Zenodo link now.
On the question: the standard approach to memory in AI systems is storage and retrieval — you write an experience to a database, you query it later. The algebra-as-memory idea is different in kind.
An operator here is an element of the E₈ Lie algebra — a 248-dimensional mathematical object that acts on the node’s current state via the Lie bracket product [A, B]. Concretely, think of it as a transformation rather than a record: instead of storing “I saw X,” the node accumulates a transformation that changes how it processes everything it sees afterward. Two operators compose via the bracket to produce a third — the algebra is closed under its own product — so experience doesn’t just accumulate linearly, it compounds structurally. The bracket of what you knew yesterday with what you learned today produces something neither contained alone.
In CleverDream, a node doesn’t store what it experienced — it applies the experience as an operator to its current state via the E₈ Lie bracket. The accumulated operator algebra is the memory. There’s no retrieval because there’s no separate store. The node’s response to future input is shaped by the totality of its operator history, not by a lookup.
The convergence criterion that falls out of this is what I find most interesting: the generated subalgebra of accumulated operators is consolidated if and only if the Killing norm has stabilized — algebraic closure rather than empirical plateau. Memory consolidation becomes a structural mathematical fact rather than an engineering judgment call.
Zenodo
From Agent Orchestration to Continuous-Time Cognition
Building a genuinely cognitive artificial system—one that perceives, acts, and accumulates structured experience through continuous engagement with its environment—is harder than it looks from the outside, and different in kind from building a system...
arxiv.org
Discussion in the ATmosphere