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The essay proposes, within the Universal Coherence Project, a framework for understanding heterogeneous phenomena as multi-layered wholes rather than as isolated parts: Universal Structural Dynamics, in which coherence emerges as the result of internal relationships (couplings, compensations, thresholds, and reorganizations) and of an impulse flow across levels (support from below and regulation from above), while maintaining a deliberately heuristic and transferable approach. On that basis, it introduces the model of 16 Simultaneous Structural Functions S(i) as a minimal “grammar” of universal roles (from the vibrational base to maximal projection), additionally associating each function with a representative mathematical family to enable simulation and visualization with a continuous parameter r. The model’s operational core is located in S₉ (dynamic accumulation and evolutionary history), from which a characteristic structural pulse is formulated: a nonlocal central trigger that directly activates the functional extremes S₁ and S₁₆, followed by a simultaneous convergent return toward S₉ through two parallel trajectories (S₁→…→S₉ and S₁₆→…→S₉). It also incorporates internal recursivity (each Sᵢ can contain subchains with neighborhood-driven pushes) and proposes condensing global behavior into a coherence indicator weighted by coefficients—internal coherence, energy, structural timescales, and recursive push. The interactions section develops how perturbations propagate and are redistributed (with key roles for dispersion, thresholding, adaptive adjustment, and resonance/network effects), and argues for the use of complementary visual representations (a linear sequence for exposition and a trigger–return diagram to reflect the real dynamics). It then presents physical/cosmic and biological/social applications, as well as interdisciplinary integration through reproducible formalization (including calculation algorithms), closing with a synthesis of contributions, plausible lines of extension (domain calibration, integration with metric tools, multiscale simulation, testable cases, and formal analysis of stability/sensitivity), and an explicit invitation to conceptual, computational, and applied collaboration.
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Title The 16 Simultaneous Structural Functions (S(i)): A Dynamic Model for Universal StructuralDynamics in the Universal Coherence Project
The essay proposes, within the Universal Coherence Project, a framework for understanding heterogeneous phenomena as multi-layered wholes rather than as isolated parts: Universal Structural Dynamics, in which coherence emerges as the result of internal relationships (couplings, compensations, thresholds, and reorganizations) and of an impulse flow across levels (support from below and regulation from above), while maintaining a deliberately heuristic and transferable approach. On that basis, it introduces the model of 16 Simultaneous Structural Functions S(i) as a minimal “grammar” of universal roles (from the vibrational base to maximal projection), additionally associating each function with a representative mathematical family to enable simulation and visualization with a continuous parameter r. The model’s operational core is located in S₉ (dynamic accumulation and evolutionary history), from which a characteristic structural pulse is formulated: a nonlocal central trigger that directly activates the functional extremes S₁ and S₁₆, followed by a simultaneous convergent return toward S₉ through two parallel trajectories (S₁→…→S₉ and S₁₆→…→S₉). It also incorporates internal recursivity (each Sᵢ can contain subchains with neighborhood-driven pushes) and proposes condensing global behavior into a coherence indicator weighted by coefficients—internal coherence, energy, structural timescales, and recursive push. The interactions section develops how perturbations propagate and are redistributed (with key roles for dispersion, thresholding, adaptive adjustment, and resonance/network effects), and argues for the use of complementary visual representations (a linear sequence for exposition and a trigger–return diagram to reflect the real dynamics). It then presents physical/cosmic and biological/social applications, as well as interdisciplinary integration through reproducible formalization (including calculation algorithms), closing with a synthesis of contributions, plausible lines of extension (domain calibration, integration with metric tools, multiscale simulation, testable cases, and formal analysis of stability/sensitivity), and an explicit invitation to conceptual, computational, and applied collaboration.
Work type Narrative, Essay
Tags simultaneous convergent return, multiscale, emergence, operational core (s₉), dynamic accumulation, simultaneous structural functions (s(i)), universal structural dynamics, universal coherence (cu), nonlocal central trigger, recursivity
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Registry info in Safe Creative
Identifier 2602254690754
Entry date Feb 25, 2026, 3:29 PM UTC
License Creative Commons Attribution 4.0
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Author. Holder Andrés Calvo Espinosa. Date Feb 25, 2026.
Information available at https://www.safecreative.org/work/2602254690754-the-16-simultaneous-structural-functions-s-i-a-dynamic-model-for-universal-structuraldynamics-in-the-universal-coherence-project