Resonant Vacuum Architecture (RVA v26.18): A Production-Grade Object-Oriented $O(1)$ Complexity Dynamic Lattice Engine for Fast Non-Iterative Planetary Trajectory Calculus and Telemetry Optimization

This paper establishes the complete, production-ready mathematical framework and object-oriented architecture of the Resonant Vacuum Architecture (RVA version v26.18, "Pure Geometric Monolith"). The model rejects continuous four-dimensional pseudo-Riemannian spacetime manifolds in favor of a stable, rigid, non-deformable resonant cubic topological lattice ($Z^3$) characterized by a fixed analytical unit cell step scale of $\lambda_0 = 766.490234 \text{ nm}$. Macroscopic gravity emerges natively as a localized fluidic pressure gradient within a dense dynamic phase shell formed by energy extruded during global lattice macro-stretching cycles. Moving away from the computationally expensive tensor expansions of General Relativity (GR) which rely on recursive numerical integration loops, we implement a monolithic, non-iterative orbital velocity equation operating at strict $O(1)$ algorithmic complexity. Independent software auditing in an isolated hardware-level float64 Python 3.12 environment confirms that the core execution engine is entirely free of phenomenological scaling parameters and soft runtime patches. The architecture achieves an autonomous native accuracy of 99.384% for the Earth system and a stable systemic baseline of 95.928% across all Solar System bodies in a single processor instruction pass. This implementation offers an optimized, thread-safe, energy-efficient mathematical core for autonomous embedded aerospace avionics, real-time drone swarm mesh stabilization, and high-fidelity physics engines.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-16
DOI
https://doi.org/10.5281/zenodo.20236798
Primary Topic
Spacecraft Dynamics and Control
Type
article
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article

Resonant Vacuum Architecture (RVA v26.18): A Production-Grade Object-Oriented $O(1)$ Complexity Dynamic Lattice Engine for Fast Non-Iterative Planetary Trajectory Calculus and Telemetry Optimization

Ivan Davidenko
Zenodo (CERN European Organization for Nuclear Research)
Spacecraft Dynamics and Control
article

Resonant Vacuum Architecture (RVA v26.18): A Production-Grade Object-Oriented $O(1)$ Complexity Dynamic Lattice Engine for Fast Non-Iterative Planetary Trajectory Calculus and Telemetry Optimization

Ivan Davidenko
article en

Abstract

This paper establishes the complete, production-ready mathematical framework and object-oriented architecture of the Resonant Vacuum Architecture (RVA version v26.18, "Pure Geometric Monolith"). The model rejects continuous four-dimensional pseudo-Riemannian spacetime manifolds in favor of a stable, rigid, non-deformable resonant cubic topological lattice ($Z^3$) characterized by a fixed analytical unit cell step scale of $\lambda_0 = 766.490234 \text{ nm}$. Macroscopic gravity emerges natively as a localized fluidic pressure gradient within a dense dynamic phase shell formed by energy extruded during global lattice macro-stretching cycles. Moving away from the computationally expensive tensor expansions of General Relativity (GR) which rely on recursive numerical integration loops, we implement a monolithic, non-iterative orbital velocity equation operating at strict $O(1)$ algorithmic complexity. Independent software auditing in an isolated hardware-level float64 Python 3.12 environment confirms that the core execution engine is entirely free of phenomenological scaling parameters and soft runtime patches. The architecture achieves an autonomous native accuracy of 99.384% for the Earth system and a stable systemic baseline of 95.928% across all Solar System bodies in a single processor instruction pass. This implementation offers an optimized, thread-safe, energy-efficient mathematical core for autonomous embedded aerospace avionics, real-time drone swarm mesh stabilization, and high-fidelity physics engines.

Zenodo (CERN European Organization for Nuclear Research)
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Spacecraft Dynamics and Control
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