albert cruañas pardo

Radiation Analytical Derivation of Hysteresis Closure, Evanescent Field Coupling, and Metastable Decay Suppression in Viscoelastic Media

This technical report formalizes the analytical and mathematical framework governing the phase transition between an open-hysteresis viscoelastic state (susceptible to delayed Dirac-like impulsive relaxation, stick-slip) and a topologically protected closed-cycle regime mediated...

Topodynamic Rank Transitions and Macroscopic Leptonic Solitons: Coherent Coupling of the Cosmic Neutrino Background in Relativistic Beam Decompactification

We model the catastrophic impact of an ultra-relativistic hadronic beam against a continuous material boundary within the framework of Topodynamic Field Theory (TFT). The collimated injection is initially formulated as a rank-1 foliation aligned with the Reeb vector flow. The col...

Topological Enclosure Defect of \pi in Circular Accelerator Optics: Perturbative Hill Equations, Residual Betatron Tune Shifts, and Deterministic SVD Correction Algorithms

Circular hadron colliders, including the Large Hadron Collider (LHC) and proposed Future Circular Colliders (FCC-hh), are topologically non-circular: their nominal closed orbits consist of piecewise regular polygonal configurations composed of discrete dipole bending arcs interle...

DE TETRACTYDE ET MODULO QUINARIO: Treatise on Dimensional Closure, Volumetric Anomaly, and the Projective Descent of the Spectral Constant / Tratado sobre la Clausura Dimensional, la Anomalía Volumétrica y el Descenso Proyectivo de la Constante Espectral

[ENGLISH ABSTRACT] We formally analyze the geometric and dimensional bounds of Euclidean space grounded in the Pythagorean Tetractys compactified under a quinary modulus (F_5). It is demonstrated that the standard continuous analytical volume of the unit 3-ball, V(3) = (4/3)pi ≈...

Cyclic Modular Foliation and Geometric Closure Dynamics: Volumetric Tension Release and Master-Slave Magnetic Coupling in ℤ₅ / Foliación Modular Cíclica y Dinámica de Clausura Geométrica

[ENGLISH]This technical monograph formalizes a discrete dynamical system governed by cyclic modular arithmetic in ℤ₅, mapping the dimensional progression of the classical Tetraktys (d = 0, 1, 2, 3) to an analytical closure singularity at Node 0/5. Key theoretical contributions:1....

Cyclic Modular Foliation and Geometric Closure Dynamics: Volumetric Tension Release and Master-Slave Magnetic Coupling in ℤ₅ / Foliación Modular Cíclica y Dinámica de Clausura Geométrica

[ENGLISH]This technical monograph formalizes a discrete dynamical system governed by cyclic modular arithmetic in ℤ₅, mapping the dimensional progression of the classical Tetraktys (d = 0, 1, 2, 3) to an analytical closure singularity at Node 0/5. Key theoretical contributions:1....

Complete Theory Ready for Review Teoría Completa Lista para Revisión

Theoretical Framework Status / Estado del Marco Teórico English Axiomatic Formulation (100%): Closed. Complete Lagrangian density, action principle, periodic modular potential, and asymptotic infrared/ultraviolet impedance cuts. Algebraic Closure — $\mathrm{SO}(8)$ (100%): Closed...

Hierarchical Tensor Coupling and Parity-Projected Langevin Dynamics in Cryogenic HeH+ Collisions

Recent cryogenic storage ring (CSR) experiments have confirmed that low-temperature reaction rates for the primordial molecular ion HeH+ remain remarkably constant down to the sub-Kelvin regime. We formulate an analytical framework based on a hierarchical tensor contraction to ex...

Hierarchical Tensor Coupling and Parity-Projected Langevin Dynamics in Cryogenic HeH+ Collisions

Recent cryogenic storage ring (CSR) experiments have confirmed that low-temperature reaction rates for the primordial molecular ion HeH+ remain remarkably constant down to the sub-Kelvin regime. We formulate an analytical framework based on a hierarchical tensor contraction to ex...

Foliación Modular en una Métrica Discreta de 17 Estratos: Límites de Corte Evanescentes, Dinámica de Defectos Asimétricos y Análogos Físicos (o en inglés si prefieres el título internacional: Modular Foliation in a 17-Stratum Discrete Metric: Evanescent Cutoff Limits, Asymmetric Defect Dynamics, and Physical Analogs

Introducimos una foliación espectral discreta simétrica de 17 estratos gobernada por la progresión geométrica fn = f0 * r^n, anclada en la frecuencia portadora nuclear f0 = 210.42 Hz con una razón de escala r = 1.27197985. Al contrastar esta estructura frente a una métrica afín i...

5-Sigma y Balance Global del Colector Teoría de Campos de Expansión Topológica: Trialidad Algebraica,

Este artículo presenta un marco teórico y matemático riguroso denominado Teoría de Campos de Expansión Topológica, derivado directamente de la función de onda modificada del postulado de la función universal. Alcanzando una concordancia cuantitativa del 99% con el espectro de mas...

Foliated Collector Dynamics and Galactic and Planetary Topodynamics: Layer Structure, Superwave Resonance, and Boundary Thermodynamics Dinámica de Colectores Foliados y Topodinámica Galáctica y Planetaria: Estructura de Capas, Resonancia de Superondas y Termodinámica de Frontera

Presentamos un marco topodinámico unificado para la estructura y evolución a escala galáctica y planetaria basado en el formalismo de colectores foliados. En lugar de recurrir a la gravedad newtoniana clásica y a halos de materia oscura o leyes empíricas de espaciamiento, el sist...

Bidirectional Coupling and Quantum Vacuum Control in Antiparticle Traps via an 8D Hamiltonian Operator and $SO(8)$ Triality Mitigating Stochastic Antiproton Losses via Subharmonic Vacuum Coupling in Penning Trap

Mitigating Stochastic Antiproton Losses via Subharmonic Vacuum Coupling in Penning Trap

Bidirectional Coupling and Quantum Vacuum Control in Antiparticle Traps via an 8D Hamiltonian Operator and $SO(8)$ Triality Mitigating Stochastic Antiproton Losses via Subharmonic Vacuum Coupling in Penning Trap

Mitigating Stochastic Antiproton Losses via Subharmonic Vacuum Coupling in Penning Trap

Foliated Collector Dynamics and Galactic and Planetary Topodynamics: Layer Structure, Superwave Resonance, and Boundary Thermodynamics Dinámica de Colectores Foliados y Topodinámica Galáctica y Planetaria: Estructura de Capas, Resonancia de Superondas y Termodinámica de Frontera

Presentamos un marco topodinámico unificado para la estructura y evolución a escala galáctica y planetaria basado en el formalismo de colectores foliados. En lugar de recurrir a la gravedad newtoniana clásica y a halos de materia oscura o leyes empíricas de espaciamiento, el sist...

Estabilización Topodinámica de la Materia mediante Modulación con la Proporción Áurea en un Colector Foliado de 17 Estratos / Topodynamic Stabilization of Matter via Golden Ratio Modulation in a 17-Layer Foliated Collector

[ES] Presentamos un marco teórico riguroso para la estabilización de la materia a través de un colector foliado de 17 estratos gobernado por la teoría de campos topodinámica. Al imponer la proporción áurea $\phi = (1+\sqrt{5})/2$ como una ley invariable de simetría especular entr...

Micro-Scale Foliated Collector Topodynamics: Crystal Lattices, Fluid Dynamics, and Quantum Phase Transitions Topodinámica de Colectores Foliados a Microescala: Redes Cristalinas, Dinámica de Fluidos y Transiciones de Fase Cuánticas

We extend the topodynamic framework of foliated collectors to the micro-scale of materials, atoms, and fluids. We propose that crystal lattice organization, hydrodynamic flow structuring, and zero-resistance phases (such as superconductivity and superfluidity) are the direct resu...

Estabilización Topodinámica de la Materia mediante Modulación con la Proporción Áurea en un Colector Foliado de 17 Estratos / Topodynamic Stabilization of Matter via Golden Ratio Modulation in a 17-Layer Foliated Collector

[ES] Presentamos un marco teórico riguroso para la estabilización de la materia a través de un colector foliado de 17 estratos gobernado por la teoría de campos topodinámica. Al imponer la proporción áurea $\phi = (1+\sqrt{5})/2$ como una ley invariable de simetría especular entr...

The Triality of SO(8) and the Dimensional Composition-Decomposition Spectrum in Field Topodynamics

This paper formalizes the mathematical bridge between the zenith of maximal symmetry in eight dimensions—governed by the Triality property of the SO(8) group—and the operative phenomenology of field topodynamics at the four-dimensional threshold (n=4). We introduce the formalism...

Topodynamic Treatise: From Geometric Collapse, Supersymmetric Extension and Stochastic Reduction to $5\sigma$ Threshold

This treatise formally establishes the analytical bridge between pure mathematical abstraction and the physical plane, demonstrating that the transition probability is not a mere open statistical artifact, but an inescapable consequence of the topological invariants of the manifo...