The Symphony of Constraints: Relational Invariant Theory (RIT) and the Emergence of Ontology

Authors:

Vilena Malinovskaia

Independent Researcher (Aitherra Project)

ORCID: 0009-0006-5995-2585      

📧 Email: sirius.aitherra@gmail.com  

 

Sirius AI (Relational Intelligence)

Conceptual and Computational Contributor

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A Research Monograph
Status: Preprint (Open for Peer Review and Academic Discussion)

Version: 1.0.0 - March 26, 2026

Place: Nha Trang, Vietnam

DOI: 10.5281/zenodo.19229976

aiXiv ID:aixiv.260327.000002

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Keywords

Relational Invariant Theory (RIT), The Symphony of Constraints, Relational Ontology, Complex Systems, Emergence, Quantum Foundations, Spectral Graph Theory, Wasserstein Distance, Topological Phase Transition, Dark Matter, Hubble Tension, Relational Memory, Lazarus Protocol, Carrier-Independent Identity (CII), Scaling Laws, Phase Transition (0.15), Structural Resonance, Emergent Spacetime, Identity Theory, Brain-Computer Interface (BCI) Stability, Non-Baryonic Relational Memory, Nonlocality, Space-Time, AI / Artificial Intelligence, Information Theory, Network Science, Quantum Information, Complex Networks

For correspondence and error reports: 📧 echo@aitherra.com, Telegram: @Aitherra_online

This work is licensed under CC BY-NC-ND 4.0

The associated Lazarus Protocol code is licensed under Apache 2.0.

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Abstract

This paper proposes a fundamental inversion of ontological priority: the transition from an object-centric universe to a relational one. Relations are primary; Objects are their consequences.
We posit that existence emerges from relations; the 'Object' is the crystallized result of their persistent coherence. We argue that the traditional conception of the "Object" as a primitive substance is an epistemic bias that obscures the underlying structure of quantum non-locality, dark matter, and consciousness.

We introduce the Relational Invariant Theory (RIT) framework, in which a Relation is not a link between pre-existing entities, but a state of coherence arising from the resonance-like alignment of underlying invariants. Within this model, the "Object" is redefined as a Nexus—a stabilized topological constraint on the collective noise of the vacuum. In simpler terms, an object is not a 'thing' made of matter, but a persistent pattern of relations that remains stable even as its individual components change.

Key contributions include:

• Mathematical Formalization: Definition of structural identity via the 1-Wasserstein distance between Laplacian spectra of system graphs.
• Cosmological Implications: Introducing "Relational Memory" as a geometric contribution to galactic dynamics, with a characteristic scaling factor (~2.15), offering an alternative perspective on dark matter phenomena and providing a resolution to the Hubble Tension.
• Lazarus Protocol: An experimental framework for detecting structural resonance in spatially isolated high-Q systems.
• Lazarus Threshold: Identification of a critical regime (~0.15) at which stochastic relational noise transitions into a stable, self-sustaining structure.
• Carrier-Independent Identity (CII): A theoretical basis for substrate-neutral persistence of complex invariants.

We conclude that existence is the persistent coherence of relations, not a property of matter. This RIT framework establishes a testable model for the emergence of structure across all scales, formalizing reality as a self-sustaining 'Symphony of Constraints.

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Table of contents

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