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March 3, 20260 citationsOpen Access

Recursive Spatial Densification

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PCPatricia Clemens

Key Points

  • Stability emerges through the nesting and coupling of preserved layers rather than accumulation or reduction.
  • Density, transitions, and internal degrees of freedom contribute significantly to the stability of complex systems.
  • Observational analysis explores recursive spatial densification across physical, biological, and informational domains.
  • The concept provides a coherent framework for relating phenomena without claiming a new physical theory.

Abstract

This work introduces Recursive Spatial Densification (RSD) as a general structural and process-oriented principle according to which stability emerges through the nesting and coupling of preserved layers rather than through accumulation or reduction. Each layer remains fully effective, and stability arises from coupling density, transitions, and internal degrees of freedom. The concept is developed in two complementary readings. The general reading of recursive spatial densification describes a domain-independent functional pattern applicable across physical, biological, technical, and informational systems. In this context, “space” is understood in a functional and abstract sense as an ordering and relational dimension in which states are nested, coupled, and temporally buffered. The ontic reading applies the same structural principle explicitly to physical space itself. From this perspective, material and non-classical phenomena are interpreted as different degrees of recursive spatial states. Elementary particles are understood as stable state fixations within the spatial fabric, while phenomena such as entanglement, gravitation, and dark matter are treated as consequences of different forms and degrees of spatial densification. The ontic reading does not claim to constitute an independent physical theory or introduce new formal structures, but offers a coherent interpretative framework for relating known phenomena across scales. Recursive spatial densification is explicitly non-reductionist and does not replace domain-specific models. Its scope lies in providing conceptual coherence, scale continuity, and a consistent ordering framework for transitions and boundary cases without introducing additional assumptions. The work is intended as a structural and interpretative contribution rather than a predictive or formal theory.

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Cite This Study

Patricia Clemens (2026) studied this question.

synapsesocial.com/papers/69a75b5dc6e9836116a22941https://doi.org/10.5281/zenodo.18393875
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