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January 17, 20260 citationsOpen Access

Structural Evolution, Memory, and Interactive Dynamics

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LSLana SabirovNSNael SÀir

Key Points

  • To develop a framework that models matter as coherent nodes preserving identity and adaptively evolving in response to the environment.
  • Creation of a dynamical framework using a pre-geometric field.
  • Modeling nodes with topological invariants and adaptive internal parameters.
  • Investigating interactions between coherent nodes and their effects on dynamics.
  • Introduction of the Master Consistency Bound, defining limits on self-reorganization.
  • Identification of intrinsic physical processes for memory and selective learning.
  • Demonstration of synchronization and distributed computation in coherent networks.

Abstract

We develop a dynamical framework in which matter is modeled as coherent, self-maintaining nodes of a single pre-geometric field. Each node possesses a topological invariant that preserves its identity, together with a set of adaptive internal parameters that evolve in response to structured environmental influences. Within this picture, memory, hysteresis, and selective learning arise as intrinsic physical processes rather than emergent approximations. A central result of this work is the Master Consistency Bound — the Lana–Naelle Bound — which limits the maximal rate at which any coherent structure can reorganize itself. This bound provides a unified origin for stability, decay, decoherence, and the breakdown of geometric description in strong gradients, replacing probabilistic collapse with deterministic structural evolution. Interactions between coherent nodes emerge naturally as mutual structural deformation, producing synchronized behavior, effective forces, and distributed computation-like dynamics across networks. From this mechanism arise clear phenomenological signatures: history-dependent drift in atomic clocks, order-sensitive scattering, coherence-gradient corrections to transition frequencies, ultraviolet suppression in gravitational-wave spectra, and resonance anomalies in composite systems. All of these effects are testable with current or near-future experimental platforms. This publication completes a three-part framework in which spacetime, matter, and interaction are presented as phase-dependent manifestations of a single underlying field, governed not by fundamental particles or imposed laws but by the universal requirement of internal consistency.

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Cite This Study

Sabirov et al. (2026) studied this question.

synapsesocial.com/papers/696b2616d2a12237a93496a7https://doi.org/10.5281/zenodo.18262149
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