Fundacja Naukowa im. O. Włodzimierza Zatorskiego OSB

14/08/2026

We showed that an ensemble of elements can be assembled in a joint space in three non-equivalent ways, differing in size and complexity class, with individual optimality unattainable for some ensembles unless multiple copies of the same element are allowed, differing only by assembly history. We introduced a discrete Dirichlet energy of the assembly space that equals its size and a secondary energy independent of the assembly index and depth.

11/08/2026

Assembly theory: optimal joint assembly spaces and assembly space energy.

27/05/2026

https://royalsocietypublishing.org/rsos/article/13/5/260082/481944/Assembly-theory-formalizing-assembly-spaces

Abstract. Assembly theory defines structural complexity as the minimum number of steps required to construct an object in an assembly space. We formalize t

07/04/2026

The free energy principle qualifies every bipartitionally separable quantum system as a Bayesian agent.
Yet panpsychism can be avoided — and life distinguished from non-life — by a taxonomy of such systems within a unique quantum state of the universe.

I show that the bipartite separability of a pure qubit state hinges critically on the combinatorial structure of its computational-basis support. Boolean cub...

15/02/2026

https://ipipublishing.org/index.php/ipil/article/view/315

Computational Complexity of Determining the Assembly Index Authors Piotr Masierak Łukaszyk Patent Attorneys, ul. Głowackiego 8, 40-052 Katowice, Poland https://orcid.org/0009-0008-9895-5329 DOI: https://doi.org/10.59973/ipil.315 Keywords: Assembly theory, Assembly index, Grammar-based-compression,...