This project presents a structural analysis of bounded integration dynamics in quantum systems. The work examines when logistic-style integration is mathematically compatible with quantum observables such as entanglement growth, decoherence, and many-body correlation structure, without proposing new physical laws or modifying standard quantum mechanics. Companion code and manuscript repository: https://github.com/shabaniutoe/UToE-Quantum-Integration
This project presents a structural analysis of bounded integration dynamics in quantum systems. The work examines when logistic-style integration is mathematically compatible with quantum observables such as entanglement growth, decoherence, and many-body correlation structure, without proposing new physical laws or modifying standard quantum mechanics. Companion code and manuscript repository: https://github.com/shabaniutoe/UToE-Quantum-Integration
This paper presents Dimensional Evolution — Quantum Measurement and Identity Formation (DE-QM), a geometric framework addressing the quantum measurement problem while preserving the full predictive structure of standard quantum mechanics. Within DE-QM, the wavefunction is treated as a resonance-geometry field rather than a probability amplitude. Superposition arises from deterministic traversal across multiple resonance-compatible configurations supported by an inverse domain, rather than from the coexistence of mutually realized states. Measurement collapse is described as a geometric stability transition governed by anchoring thresholds imposed by environmental and detector constraints. Probability emerges as a derived measure of geometric overlap between scan traversal and detector geometry, recovering the Born rule without introducing intrinsic randomness or observer-dependent postulates. The framework integrates decoherence, entanglement, and relativistic structure into a unified geometric description that remains fully compatible with nonrelativistic and relativistic quantum mechanics, including the Schrödinger and Dirac formalisms. Entanglement is treated as a shared inverse-domain resonance geometry, enabling coordinated collapse without superluminal signaling. Measurement outcomes are shown to be observer-independent and physically grounded in macroscopic anchoring geometry, consistent with established experimental results. This manuscript serves as the foundational quantum-mechanical component of the broader Dimensional Evolution framework and builds directly on prior canonical works, including the DE Core paper, companion papers CP1–CP5, and specialized studies addressing the Mott problem and Dirac structure. DE-QM does not modify quantum mechanics’ mathematical formalism; rather, it provides a coherent geometric ontology underlying wavefunction structure, superposition, collapse, and probability. --- Project website: https://de-theory.com This work is part of the Dimensional Evolution research program. Additional materials, updates, and contact information will be made available via the project website as the work expands.
This research delves into the intersection of quantum information dynamics and complex systems, specifically focusing on the interplay between quantum entanglement and dynamical systems. We propose a novel framework that integrates these concepts to model potential quantum computation behaviors, moving beyond traditional algorithmic approaches. The core of this work centers on the conceptualization of a dynamic system evolution driven by quantum entanglement, providing a mechanism for understanding and potentially predicting the behavior of quantum algorithms. This investigation seeks to establish a robust model for exploring and analyzing the emergent properties of quantum systems through the lens of dynamic dynamics.
For over a century, the quantum realm has been treated as a mathematically isolated domain where macroscopic laws break down, forcing legacy physics to rely on wave-function collapse, fundamental randomness, and instantaneous non-local connections (Einstein's "Spooky Action at a Distance"). This paper utilizes the Electron Flow Model (EFM) to replace quantum mysticism with continuous, deterministic fluid dynamics. We demonstrate that entangled particles are not communicating magically across a void, but are mechanically linked via incompressible "fluid tethers", allowing us to deterministically recover quantum correlation limits through geometric momentum transfer without violating local realism. Key Findings & Methodology: The Geometry of Spin and Polarity: Quantum spin is not an abstract mathematical property, but a literal, active mechanical response to hydrodynamic pressure. The physical orientation of the atom dictates its magnetic exhaust. Cryogenic Locking and Flux Pinning: Freezing thermal jitter locks the atomic piston into a rigid, stationary coordinate. This creates near-perfect thermodynamic impedance, allowing magnetic field lines to physically pin to the stable lattice. No Spooky, Just Action: Entangled particles are subatomic engines connected by a shared, continuous conduit of vacuum flux. The extreme density of this incompressible fluid tether allows for instantaneous hydrodynamic torque transfer. The CHSH Limit (2√2): The EFM successfully derives the exact quantum correlation limit strictly through N-body geometric momentum transfer collisions, proving that abstract mathematical spaces and non-locality are mathematically unnecessary. Included Resources: Appendix A contains the complete, reproducible Python mathematical engine used to simulate the N-Body fluid collisions and derive the CHSH correlation limit from first principles. The Unified Fluid Cosmos Framework: This paper serves as Manuscript 14 Version 1 in the comprehensive series, Marabūt's Theory of Gravity. It presents the Electron Flow Model (EFM), a generative, fluid-dynamic framework designed to fundamentally replace Albert Einstein's General Relativity and standard Quantum Mechanics. The EFM shatters classical circularity with a single, undeniable foundational premise: Gravity is Pressure, not curvature, and not an intrinsic mass property. Published Manuscripts in this Series: Manuscript 01: The Push-Pull Mechanics of Vacuum Flux (The Foundational Framework) — https://doi.org/10.5281/zenodo.18874694 Manuscript 02: Resolving the Weyl Potential Anomaly — https://doi.org/10.5281/zenodo.19784494 Manuscript 03: Mechanistic Resolution of Jet Deflection in Cygnus X-1 — https://doi.org/10.5281/zenodo.19790983 Manuscript 04: Quantum Mechanics of Stellar Chain Reactions and EVGS Formation — https://doi.org/10.5281/zenodo.19801398 Manuscript 05: The Heliospheric Grand Data Matrix — https://doi.org/10.5281/zenodo.20128776 Manuscript 06: Fluid-Dynamic Reinterpretation of Gravity, Black Holes, and Gravitational Waves — https://doi.org/10.5281/zenodo.20129518 Manuscript 07: Fluid-Dynamic Reinterpretation of the Kinematic Sunyaev-Zeldovich Effect — https://doi.org/10.5281/zenodo.20130259 Manuscript 08: Transcending the Singularity — Electron Void Gravitational Spheres — https://doi.org/10.5281/zenodo.20130801 Manuscript 09: The Final Parsec Problem Solved — https://doi.org/10.5281/zenodo.20134048 Manuscript 10: The Illusion of the Singularity — https://doi.org/10.5281/zenodo.20135533 Manuscript 11: The Illusion of Dark Energy — https://doi.org/10.5281/zenodo.20149141 Manuscript 12: The Illusion of Dark Matter — https://doi.org/10.5281/zenodo.20171372 Manuscript 13: The Illusion of Spacetime — https://doi.org/10.5281/zenodo.20172281 Manuscript 14: The Illusion of Spooky Action — https://doi.org/10.5281/zenodo.20173191 Manuscript 15: The Superluminal Mechanics of the Quantum Vacuum — https://doi.org/10.5281/zenodo.20173755 Manuscript 16: Empirical Validation of the Electron Flow Model — https://doi.org/10.5281/zenodo.20271062 Manuscript 17: Confronting the Cosmic Microwave Background — https://doi.org/10.5281/zenodo.20483713 Manuscript 18: Resolving the CMB Power Spectrum — https://doi.org/10.5281/zenodo.20493520 Manuscript 19: The Foundation of Stellar Dynamics — https://doi.org/10.5281/zenodo.20500168 Manuscript 20: Resolving the Black Hole Information Paradox — https://doi.org/10.5281/zenodo.20535631 Manuscript 21: Hydrodynamic Shockwaves and Wave-Particle Duality (Current Paper) — https://doi.org/10.5281/zenodo.20620456 Data & Code Availability: To accompany this manuscript, we have open-sourced the complete Python mathematical engine and a fully interactive 3D web-based simulation of the EFM Volumetric Profiler. Researchers, developers, and students can visually explore the hydrodynamic vacuum flux across the celestial bodies at: Interactive 3D EFM Volumetric Profiler: https://marabutmarabut.github.io/Theory-of-Gravity Official GitHub Repository: https://github.com/MarabutMarabut/Theory-of-Gravity
Dimensional Evolution (DE) is a unified geometric framework proposing that physical phenomena across quantum, classical, biological, and cosmological scales arise from structured coherence governed by conservation laws and boundary-conditioned geometry. This Core Scientific Manuscript establishes the canonical foundations of Dimensional Evolution, introducing its primary primitives: collapse curvature, resonance-shell structure, tether networks, coherence flow, and verse–inverse domain coupling. Within this framework, measurement, interaction, nonlocal correlation, and apparent energy dissipation emerge as deterministic geometric processes rather than intrinsically probabilistic or annihilative effects. The Core Paper is intended as the foundational anchor for the Dimensional Evolution research program. It does not replace existing physical theories but demonstrates how established formalisms—including Quantum Mechanics, General Relativity, Quantum Field Theory, and Thermodynamics—arise as limiting cases of a deeper coherence-driven geometry. Mathematical elaboration, experimental validation, and domain-specific applications are developed in associated Companion Papers (CP) and Specialized Papers (SP). This manuscript prioritizes internal consistency, testability, and compatibility with existing empirical results. --- Project website: https://de-theory.com This work is part of the Dimensional Evolution research program. Additional materials, updates, and contact information will be made available via the project website as the work expands.