| ai.viXra.org > Astrophysics > 2606 |
|
 |
| ai.viXra.org > Astrophysics > 2606 |
|
|
[4] ai.viXra.org:2606.0080 [pdf] submitted on 2026-06-29 20:01:12
Authors: Ayush Samanta
Comments: 13 Pages. (Note by ai.viXra.org Admin: For the last time, an abstract in the article labeled as such is required!)
Orbital debris has become one of the most significant challenges facing the long-term sustainability of Low Earth Orbit (LEO). As the number of satellites continues to increase, so does the likelihood of collisions capable of generating large quantities of debris, potentially triggering a self-sustaining chain reaction known as Kessler Syndrome. This study develops a stochastic two-shell Monte Carlo model to investigate whether a critical orbital density exists beyond which such debris cascades become increasingly likely. The model represents the orbital environment using two concentric shells and incorporates stochastic collisions, debris fragmentation, atmospheric decay, active satellite failure, and collision avoidance. A systematic density sweep was performed using 200 independent Monte Carlo simulations for each normalized orbital density. The results reveal a rapid transition from stable orbital evolution to near-certain cascade formation over a narrow range of densities, with the critical normalized density multiplier estimated to be approximately $alpha_c approx 0.093$. Near this threshold, simulations with identical initial conditions frequently produced different long-term outcomes, highlighting the importance of stochastic collision dynamics in determining orbital stability. Although the model adopts several simplifying assumptions, it reproduces the fundamental feedback mechanism underlying the Kessler hypothesis and provides a computationally efficient framework for investigating the probabilistic onset of orbital debris cascades.
Category: Astrophysics
[3] ai.viXra.org:2606.0076 [pdf] submitted on 2026-06-28 13:37:43
Authors: Joseph Shaffer
Comments: 7 Pages. This paper is the companion paper of ai.viXra.org:2605.0049. It provides the formal mathematical foundation.
This paper develops the full Lagrangian formulation of the Tensional Structure Principle (TSP). In TSP, the fundamental substrate of reality is the entanglement domain E, composed of qubit scale flexible mats described by a stiffness field with a tension field as the primary dynamical quantity. Mass induces distortions in the mat field, producing gravity as a tension gradient. We construct the action, derive the Euler-Lagrange equations, identify the stress—tension tensor, and show how dark energy arises from a uniform residual tension. This paper provides the mathematical backbone for the conceptual TSP framework.
Category: Astrophysics
[2] ai.viXra.org:2606.0056 [pdf] submitted on 2026-06-22 11:57:58
Authors: E.P.J. de Haas
Comments: 57 Pages. https://doi.org/10.5281/zenodo.20796685
Flat galactic rotation curves and the Baryonic Tully-Fisher relation have resisted explanation for five decades. Dark matter and modified gravity each resolve the problem by importing something external — either undetected matter or a modified law. A third route exists.A preceding empirical programme showed that the condition that total kinetic energy is conserved along galactic streamlines — the constant-Lagrangian (CL) condition — fits 175 observed rotation curves using only two physically meaningful parameters, the bulge radius and enclosed mass, without dark matter. That condition was a postulate. This paper derives it.Starting from a single first-order field equation for the gravitational vacuum flow, a channel decomposition automatically produces Newtonian gravity, the FRW expansion scalar, and the disk's rotation curve as three independent projections. The CL condition emerges as an exact internal output of the norm channel. Flat rotation curves, the Tully-Fisher scaling, and the cosmological structure of galactic disks follow simultaneously, with no free parameters.
Category: Astrophysics
[1] ai.viXra.org:2606.0006 [pdf] submitted on 2026-06-02 20:55:35
Authors: Hacı Soğukpınar
Comments: 45 Pages.
The Unified Fractal Quantum Field Theory (UFQFT) proposes a resonance-geometric framework in which matter, interactions, spacetime, and cosmology emerge from the dynamics of two fundamental fields: the energy field (Φ) and the charge field (Ψ), embedded within a fractal spacetime characterized by a critical effective Hausdorff dimension of D ≈ 2.7. In this paradigm, elementary particles are not fundamental point-like entities but stable resonance configurations of coupled Φ—Ψ fields, while mass, charge, spin, and particle stability arise from fractal resonance structure and dimensional localization. The theory identifies D ≈ 2.7 as a critical threshold at which confinement, long-range interactions, temporal evolution, and stable matter coexist, providing a unified geometric explanation for the emergence of ordinary matter, dark matter, dark energy, and the arrow of time. Gravity is reinterpreted as an emergent symmetry-restoring response of the fractal field, whereas electromagnetic, weak, and strong interactions arise from distinct resonance modes and topological transitions of the same underlying field system. UFQFT further extends naturally to nuclear structure, halo nuclei, neutrino oscillations, CP violation, baryogenesis, black-hole interiors, neutron stars, and bubble cosmology, offering a common geometric origin for phenomena traditionally described by separate theoretical frameworks. A scale-dependent dimensional flow from microscopic fractal regimes to macroscopic classical geometry establishes a UV—IR bridge linking particle physics with cosmological structure formation and large-scale dynamics. The framework yields a broad range of experimentally testable predictions, including fractal corrections to particle lifetimes and scattering processes, modifications to neutrino oscillation patterns, sub-millimeter deviations from Newtonian gravity, distinctive signatures in halo nuclei, scale-dependent suppression of the cosmological matter power spectrum, non-standard gravitational-wave propagation, and observable imprints in future cosmological surveys and precision laboratory experiments. Collectively, UFQFT suggests that the Universe is fundamentally a hierarchy of resonant geometric structures rather than a collection of elementary particles and forces, providing a unified and falsifiable pathway toward the geometric unification of quantum physics, gravitation, and cosmology.
Category: Astrophysics