Article
Astronomy & Astrophysics
Xiao-Yu Lu, Jin-Shu Huang, Cong-Bin Liu, Xiu-Mei Xu, Jin-Bing Cheng, Wan Chang, Yu-Yu Zhou, Ya-Jie Wang
Summary: By comparing optical clocks and atomic clocks, the Lorentz invariance breaking parameters in the RMS framework can be tested. However, while the structural effects of optical clocks have been fully considered in these experiments, the structural effects of atomic clocks have not been carefully studied. This paper analyzes the structural effects of atomic clocks in detail and categorizes the experiments into six types, providing correction parameters for the measurements.
Article
Astronomy & Astrophysics
J. M. Carmona, J. L. Cortes, J. J. Relancio, M. A. Reyes
Summary: Doubly special relativity considers a deformation in the special relativistic kinematics that is parametrized by a high-energy scale, while preserving the relativity principle. Inconsistencies arise when applying this deformation to all interactions between particles, which can be avoided by proposing that the deformation only affects interactions between elementary particles. As a consequence, the deformation does not modify the special relativistic energy-momentum relation of a particle.
Article
Astronomy & Astrophysics
B. F. Rizzuti, G. F. Vasconcelos Jr
Summary: In this paper, we discuss how the Magueijo-Smolin Doubly Special Relativity proposal can be derived from a singular Lagrangian action. The deformed energy-momentum dispersion relation emerges as a specific gauge, with its covariance imposing the non-linear Lorentz group action, and the additional invariant scale is present from the beginning as a coupling constant to a gauge auxiliary variable. The geometrical meaning of the gauge fixing procedure and its connection to the free relativistic particle are also described.
Article
Astronomy & Astrophysics
Kai Flathmann, Manuel Hohmann
Summary: The article analyzes the post-Newtonian approximation of a generalization of the symmetric teleparallel gravity using the parametrized post-Newtonian (PPN) formalism. It identifies theories whose PPN parameters are in agreement with general relativity, while also finding families where only specific parameters deviate but can be adjusted to match observational values. The remaining theories either lack well-defined solutions to the post-Newtonian field equations or exceed the assumptions of the PPN formalism.
Article
Astronomy & Astrophysics
S. A. Franchino-Vinas, J. J. Relancio
Summary: In this work, we discuss the deformed relativistic wave equations, namely the Klein-Gordon and Dirac equations, in a scenario of doubly special relativity. We present a geometric approach based on the geometry of a curved momentum space, which complements the more widely used algebraic approach. In this framework, we are able to rederive known algebraic expressions and address unresolved issues such as the relation between the two equations, discrete symmetries for Dirac particles, the fate of covariance, and the formal definition of a Hilbert space for the Klein-Gordon case.
CLASSICAL AND QUANTUM GRAVITY
(2023)
Article
Astronomy & Astrophysics
Yu-Min Hu, Xian Gao
Summary: This study revisits the problem of building the Lagrangian of metric theories that respect spatial covariance and propagate at most 2 degrees of freedom without scalar modes. The analysis focuses on finding conditions to eliminate scalar modes at linear and cubic order perturbations, providing an alternative approach to spatially covariant gravity with only tensorial degrees of freedom. By expanding the Lagrangian around a cosmological background, explicit Lagrangians for different cases and additional conditions for coefficients are determined to fully eliminate scalar modes.
Review
Multidisciplinary Sciences
Jose Manuel Carmona, Jose Luis Cortes, Jose Javier Relancio, Maykoll A. Reyes
Summary: This article reviews the peculiarities of neutrinos as cosmic messengers in high-energy astrophysics, and examines possible indications of deviations from special relativity as suggested by quantum gravity models. The effects of neutrino production, propagation, and detection are discussed, not only in the scenario of Lorentz Invariance Violation, but also in models that maintain and deform the relativity principle, such as Doubly Special Relativity. The challenges and promising future prospects of this phenomenological window to physics beyond special relativity are discussed.
Article
Physics, Particles & Fields
D. M. Ghilencea
Summary: In the study of the Standard Model in Weyl conformal geometry, the Weyl quadratic gravity undergoes spontaneous breaking of scale symmetry by a geometric Stueckelberg mechanism, impacting the induction of electroweak symmetry breaking through corrections from the Higgs mechanism. The presence of kinetic mixing of gauge fields can affect the mass of Z boson by its interaction with massive omega(mu), contributing to the lower bounds on the mass of omega(mu) in precision measurements. The early Universe can see a geometric origin of the Higgs field through Weyl vector fusion, potentially driving inflation with a mildly shifted tensor-to-scalar ratio due to the Higgs non-minimal coupling to Weyl geometry.
EUROPEAN PHYSICAL JOURNAL C
(2022)
Article
Computer Science, Artificial Intelligence
Vahid Goodarzimehr, Saeed Shojaee, Saleh Hamzehei-Javaran, Siamak Talatahari
Summary: This paper proposes a novel metaheuristic optimization algorithm called Special Relativity Search (SRS), which utilizes the theory of special relativity physics to determine the coordinates of charged particles. By calculating particle interactions using the Lorentz force and angular frequency, SRS demonstrates higher efficiency and robustness in solving optimization problems compared to other popular metaheuristic algorithms.
KNOWLEDGE-BASED SYSTEMS
(2022)
Article
Astronomy & Astrophysics
Benjamin Koch, Enrique Munoz, Alessandro Santoni
Summary: In this study, the corrections to the energy spectrum of a C-invariant Dirac Fermion in a static and homogeneous magnetic field arising from VSR's SIM(2) invariant realization were considered. It was found that the energy spectrum expression remains the same under certain conditions, with only a mass shift due to VSR contribution. A new energy spectrum equation was derived when relaxing the parallelism condition, which was solved perturbatively. Through measurements in Penning trap experiments, upper bounds for the VSR electron mass parameter and VSR electronic neutrino mass of 1 eV were obtained, without contradicting the possibility of VSR being the origin of neutrino masses.
Article
Engineering, Multidisciplinary
Vahid Goodarzimehr, Siamak Talatahari, Saeed Shojaee, Saleh Hamzehei-Javaran
Summary: This paper develops a Special Relativity Search (SRS) method for solving engineering problems. The SRS is implemented by considering the interaction of particles in a magnetic field, where the magnetic field serves as the search space and the particles represent design vectors. The paper utilizes the concepts of Lorentz force, velocity, and distance between particles to investigate particle interactions and applies the special relativity theory to develop the main equations of the algorithm. The SRS demonstrates good performance and low computational cost in solving various engineering problems when compared to other well-known metaheuristic methods.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Physics, Multidisciplinary
Iwan Setiawan, Ryan Sugihakim, Bobby Eka Gunara
Summary: In this paper, we investigate the central force problem in special theory of relativity and derive the special relativistic version of the Binet equation for describing the orbit of a massive body. We then discuss the motion of a planet in a solar-like system where the gravitational potential is modified. Using the perturbative method, we obtain the explicit orbital function and further explore the relation between the orbital precession of the planet and the results from general relativity.
Article
Mechanics
M. Thbaut, S. Brisard
Summary: This paper revisits the problem of translation-invariant pressurized membranes and introduces the generalized plane strain assumption to account for the longitudinal equilibrium of the membrane. The equations of De Simone and Luongo are modified, resulting in an extended class of problems that can be (nearly) tractable analytically.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2023)
Article
History & Philosophy Of Science
Kevin Coffey
Summary: This paper argues against the equivalence of mass and energy in special relativity, advocating for a new ontology that focuses on the nature of 4-forces and interactions. The author presents cases of alleged mass-energy conversion within this new ontology, demonstrating the applicability of this perspective.
Article
Mathematics, Applied
Ping Zhu
Summary: This paper investigates the equivalence of space and translation invariance of Stepanov-like doubly weighted pseudo almost automorphic stochastic processes for nonequivalent weight functions. Furthermore, based on semigroup theory, fractional calculations, and the Krasnoselskii fixed-point theorem, it establishes the existence and uniqueness of Stepanov-like doubly weighted pseudo almost automorphic mild solutions for a class of nonlinear fractional stochastic neutral functional differential equations under non-Lipschitz conditions. These results enrich the complex dynamics of Stepanov-like doubly weighted pseudo almost automorphic stochastic processes.
JOURNAL OF INEQUALITIES AND APPLICATIONS
(2023)
Article
Astronomy & Astrophysics
Nelson R. F. Braga, Octavio C. Junqueira
Summary: This study investigates the influence of rotation on the transition temperature of strongly interacting matter produced in non-central heavy ion collisions. By using a holographic description of an AdS black hole, the authors extend the analysis to the more realistic case where the matter spreads over a region around the rotational axis. The results show the coexistence of confined and deconfined phases and are consistent with the concept of local temperature in rotating frames developed by Tolman and Ehrenfest.
Article
Astronomy & Astrophysics
Bing Sun, Jiachen An, Zhoujian Cao
Summary: This paper investigates the effect of gravitational constant variation on the propagation of gravitational waves. By employing two analytical methods, the study finds that variations in the gravitational constant result in amplitude and phase corrections for gravitational waves, and the time variation of the gravitational constant can be constrained through the propagation of gravitational waves.
Article
Astronomy & Astrophysics
Abdellah Touati, Zaim Slimane
Summary: This letter presents the first study of Hawking radiation as a tunneling process within the framework of non-commutative gauge theory of gravity. The non-commutative Schwarzschild black hole is reconstructed using the Seiberg-Witten map and the star product. The emission spectrum of outgoing massless particles is computed using the quantum tunneling mechanism. The results reveal pure thermal radiation in the low-frequency scenario, but a deviation from pure thermal radiation in the high-frequency scenario due to energy conservation. It is also found that noncommutativity enhances the correlations between successively emitted particles.
Article
Astronomy & Astrophysics
Shahar Hod
Summary: The travel times of light signals between two antipodal points on a compact star's surface are calculated for two different trajectories. It is shown that, for highly dense stars, the longer trajectory along the surface may have a shorter travel time as measured by asymptotic observers. A critical value of the dimensionless density-area parameter is determined for constant density stars to distinguish cases where crossing through the star's center or following a semi-circular trajectory on the surface has a shorter travel time as measured by asymptotic observers.