What does this research mean for the field?

Macro-scale and micro-scale domains are recursively entangled regions of a continuous topological process rather than ontologically separate realities. Novelty: ClaimNovelty.INCREMENTAL. Consensus alignment: ConsensusAlignment.CHALLENGES_CONSENSUS.

What question did this study set out to answer?

The aim is to develop a generalized structural cosmology that integrates relational emergence and entangled domains.

May 19, 2026Open Access

The Toroidal Recurrence of Relational Boundaries: A Structural Cosmology of Relational Emergence, Scale Inversion, and Recursive Persistence

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Key Points

The aim is to develop a generalized structural cosmology that integrates relational emergence and entangled domains.
Extended The Relative Framework (TRF) into a structural cosmology framework.
Analyzed the relationships between macro-scale and micro-scale domains.
Investigated properties such as bounded persistence and representational divergence.
Proposed that macro-scale and micro-scale are not separate but recursively entangled.
Demonstrated a topological process linking different relational boundaries.

Abstract

This paper extends The Relative Framework (TRF) into a generalized structural cosmology grounded in relational emergence, bounded persistence, finite resolution capacity (ρ), cumulative irreversibility (K), and representational divergence (Δ). Rather than treating macro-scale and micro-scale domains as ontologically separate realities, the framework proposes that they are recursively entangled regions of a continuous topological process.

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Dean Tyldesley

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The Toroidal Recurrence of Relational Boundaries: A Structural Cosmology of Relational Emergence, Scale Inversion, and Recursive Persistence

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Abstract

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