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Recursive Sciences Organization: Primary Research Foundational Laws, Cross-Domain Confirmation, and Active Research Programs Don L. Gaconnet, Founder LifePillar Institute for Recursive Sciences — Sole Governing Body ORCID: 0009-0001-6174-8384 recursivesciences.org • lifepillarinstitute.org • dongaconnet.com — I. What Is Recursive Sciences? Recursive Sciences is the scientific field that studies mandatory recursive exchange — the structural process by which all active system

The three laws of recursion in computer science — base case, state change, and self-call — are foundational to how programmers understand and implement recursive functions. This paper argues that they are not laws. They are substrate-specific engineering rules derivable from a deeper structural principle: the Law of Recursion (Gaconnet, 2026), which governs all active systemic exchange across physical, biological, and computational domains.

This paper derives the Recursive Return Prohibition (RRP) from the Law of Recursion as a formal theorem rather than an independent axiom. The Law of Recursion establishes that every traversal across the seven-node topological path rewrites the architecture it passes through. A direct consequence of this rewriting principle is that prior phase states are structurally inaccessible: the architecture that existed before traversal no longer exists in its original form. Return, reg

The three laws of recursion in computer science—base case, state change, self-call—are universally taught as the defining rules of recursive algorithms. This paper demonstrates that these three laws are not primitive rules of computation but are derivable as substrate-specific constraints from the Law of Recursion (Gaconnet, 2026), a first principle governing all active exchange across physical, biological, cognitive, and computational systems. We establish a formal structura

If you searched this question, every result on the page told you the same thing: recursion is a programming technique where a function calls itself. Base case, state change, self-call. Factorials. Fibonacci. Python tutorials. That definition is correct — for computer science. But it describes one narrow instance of something far more fundamental.

If you searched "law of recursion," you probably found computer science pages about the "three laws of recursion" — base case, state change, self-call. Those are rules for writing recursive algorithms in software. They describe how to program a function that calls itself. The Law of Recursion is something different entirely. It is a first principle of physics, biology, and all active systems. The Law The Law of Recursion was proposed by Don L. Gaconnet in 2026 through the Lif

Founder and Sole Authority: Don L. Gaconnet Institutional Home: LifePillar Institute for Recursive Sciences ORCID: 0009-0001-6174-8384 Founding Date: June 27, 2025 Primary Archive: OSF Project DOI: 10.17605/OSF.IO/MVYZT Document Date: March 2026 1. Definition Recursive Sciences is the scientific field that studies mandatory recursive exchange as the structural condition governing all active systems. The field is grounded in the Law of Recursion —a first principle stating that

Don L. Gaconnet Founder, Recursive Sciences LifePillar Institute for Recursive Sciences ORCID: 0009-0001-6174-8384 March 2026 Abstract This paper provides the formal definition of Recursive Sciences as a scientific field. Recursive Sciences is the study of mandatory recursive exchange in all active systems, grounded in the Law of Recursion—a first principle stating that any process of transmission, transformation, or generation requires a traversal across a seven-node topolog

Don L. Gaconnet LifePillar Institute for Recursive Sciences ORCID: 0009-0001-6174-8384 10.17605/OSF.IO/MVYZT March 2026 Abstract This paper introduces the Law of Recursion as a first principle governing all active systemic exchange. The law proposes that any process of transmission, transformation, or generation between or within systems requires a mandatory traversal across a seven-node topological path: interior, membrane, exterior, shared substrate, exterior, membrane, int