Keo, Christopher (2026) A Categorical Sketch for Viability: Formalizing the Structural Invariants of Self-Organizing Systems. [Preprint]

Text (A Categorical Sketch for Viability: Formalizing the Structural Invariants of Self-Organizing Systems) REVISED_MANUSCRIPT_v35_MAJOR_PLUS_v0_4_13.pdf - Accepted Version Download (154kB)

Abstract

We work in Set and define a P-system as a state object S with a self-production endomorphism phi: S -> S, a functional membrane dS included in S, and a flux action rho: R x S -> S. The endomorphism is evaluation-based: phi reads the currently installed metabolism h through ev(h,a) = h(a), so the active metabolism is part of the state. Endogeneity is stated as an E-relative non-factorisation condition through a class K(S, E) of authorised mediations, with a separation lemma as the verification tool. The framework is worked out on an explicit finite Rosen-type model: 16 states, phi tabulated, membrane stability and permeability checked element by element, E-endogeneity verified by exhaustion, and a multi-level counterexample T = S x {0, 1} in which the same subsystem admits one admissible embedding and one not. The formal object is a restricted generalised sketch with an avoidance clause, not an ordinary finite-limit sketch. Section 5 places the formalisation in dialogue with recent BioSystems work on molecular autopoiesis, causation and codes, and empirical correlates of (M, R)-systems.

---

Export/Citation:

EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL

Social Networking:

Share |

---

Item Type:	Preprint
Creators:	Creators Email ORCID Keo, Christopher mynameiskeo@gmail.com 0009-0000-8290-1416
Keywords:	category theory, autopoiesis, (M, R)-systems, self-organization, viability, negentropy, categorical sketch, membrane
Subjects:	Specific Sciences > Biology Specific Sciences > Biology > Systematics General Issues > Models and Idealization
Depositing User:	Mr Christopher Keo
Date Deposited:	06 May 2026 19:22
Last Modified:	06 May 2026 19:22
Item ID:	29501
DOI or Unique Handle:	BIO_105811
Subjects:	Specific Sciences > Biology Specific Sciences > Biology > Systematics General Issues > Models and Idealization
Date:	23 March 2026
URI:	https://philsci-archive.pitt.edu/id/eprint/29501

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Altmetric.com

Actions (login required)

View Item