Abstract: This study investigates photon-field interactions by integrating relativistic Maxwell equations with chaotic systems and, provides a novel perspective on effective potentials. This study redefines the dynamics of electric and magnetic fields in the presence of photons by, introducing an effective potential that bridges the kinetic energy term of the Hamiltonian operator with the relativistic framework. By formulating a fourth-order differential equation, the analysis explores the impact of charge density discontinuities and rapid variations on field behavior. Boundary conditions are derived using the Lorenz system, where specific parameter constraints yield quasi- stable solutions. This unified approach sheds light on photon-field coupling, emphasizing its implications for stability, nonlinearity, and the interplay of quantum and relativistic effects. The findings offer a fresh perspective on incorporating chaotic dynamics into field theory, advancing the understanding of photon-mediated interactions in complex systems.

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The framework presented in this paper explores the dynamic instability of cosmic nodes—localized regions of concentrated energy—at the Planck scale. We propose that these nodes are governed by the interplay of pressure gradients and quantum fluctuations, leading to a continuous redistribution of energy without the establishment of stable equilibrium. Unlike classical thermodynamic systems that tend toward equilibrium, cosmic nodes are in a constant state of flux, where energy densities oscillate unpredictably. Pressure gradients drive the movement of energy, compressing it into high-density regions, while quantum fluctuations add inherent randomness, ensuring perpetual instability. This framework challenges traditional models of static or equilibrium-based systems, offering a fresh perspective on the evolution of energy fields at fundamental scales. The implications of this model extend to cosmological phenomena such as cosmic inflation, quantum foam, and large-scale energy redistribution in the early universe. By bridging concepts in quantum gravity and cosmology, this work contributes to a deeper understanding of the universe’s dynamic, non-static nature, potentially reshaping our understanding of cosmic evolution and energy behavior at the Planck scale.

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We present a framework extending the Quantum Memory Matrix (QMM) principles, originally formulated to reconcile quantum mechanics and gravity, to the domain of electromagnetism. In this discretized space--time approach, Planck-scale quantum cells act as memory units that store information via local quantum imprints of field interactions. By introducing gauge-invariant imprint operators for the electromagnetic field, we maintain unitarity, locality, and the equivalence principle while encoding electromagnetic data directly into the fabric of space--time. This construction ensures that black hole evaporation, including for charged black holes, respects unitarity, with initially hidden quantum information emerging through subtle, non-thermal correlations in the emitted radiation. The QMM framework also imposes a natural ultraviolet cutoff, potentially modifying vacuum polarization and charge renormalization, and may imprint observable signatures in the cosmic microwave background or large-scale structures from primordial electromagnetic fields. Compared to other unification proposals, QMM does not rely on nonlocal processes or exotic geometries, favoring a local, covariant, and gauge-invariant mechanism. Although direct Planck-scale tests remain challenging, indirect observational strategies—ranging from gravitational wave analyses to laboratory analog experiments—could probe QMM-like phenomena and guide the development of a fully unified theory encompassing all fundamental interactions.

Abstract: Single-time and two-correlators are computed exactly in the $1D$ Glauber-Ising model after a quench to zero temperature and on a periodic chain of finite length $N$, using a simple analytical continuation technique. Besides the general confirmation of finite-size scaling in non-equilibrium dynamics, this allows to test the scaling behaviour of the plateau height $C_{\infty}^{(2)}$ to which the two-time auto-correlator converges, when deep into the finite-size regime.

Abstract: Solar eclipses present a valuable opportunity for controlled in-situ ionosphere studies. This work explores the response of the upper atmosphere’s F-layer during the total eclipse of April 8, 2024, which was primarily visible across North and South America. Employing a multi-instrument approach, we analyze the impact on the ionosphere’s Total Electron Content (TEC) and Very Low Frequency (VLF) signals over a three-day period encompassing the eclipse (April 7 to 9, 2024). Ground-based observations leverage data from ten strategically positioned International GNSS Service (IGS)/Global Positioning System (GPS) stations and four VLF stations situated along the eclipse path. We compute vertical TEC (VTEC) alongside temporal variations in VLF signal amplitude and phase to elucidate the ionosphere’s response. Notably, IGS station data reveal a decrease in VTEC during the partial and total solar eclipse phases, signifying a reduction in ionization. While VLF data also exhibit a general decrease, they display more prominent fluctuations. Space-based observations incorporate data from Swarm and COSMIC2 satellites as they traversed the eclipse path. Additionally, a spatiotemporal analysis utilizes data from the Global Ionospheric Map (GIM) database and the DLR’s (The German Aerospace Center’s) database. All space-based observations consistently demonstrate a significant depletion in VTEC during the eclipse. We further investigate the correlation between the percentage change in VTEC and the degree of solar obscuration, revealing a positive relationship. The consistent findings obtained from this comprehensive observational campaign bolster our understanding of the physical mechanisms governing ionospheric variability during solar eclipses. The observed depletion in VTEC align with the established principle that reduced solar radiation leads to decreased ionization within the ionosphere. Finally, geomagnetic data analysis confirms that external disturbances did not significantly influence our observations.

Abstract: We extend the Quantum Memory Matrix (QMM) framework, originally developed to reconcile quantum mechanics and general relativity by treating space--time as a dynamic information reservoir, to incorporate the full suite of Standard Model gauge interactions. In this discretized, Planck-scale formulation, each space--time cell possesses a finite-dimensional Hilbert space that acts as a local memory, or \emph{quantum imprint}, for matter and gauge field configurations. We focus on embedding non-Abelian SU(3)\(_\mathrm{c}\) (quantum chromodynamics) and SU(2)\(_\mathrm{L}\)\(\times\)U(1)\(_Y\) (electroweak interactions) into QMM by constructing gauge-invariant imprint operators for quarks, gluons, electroweak bosons, and the Higgs mechanism. This unified approach naturally enforces unitarity by allowing black hole horizons, or any high-curvature region, to store and later retrieve quantum information about color and electroweak charges, thereby preserving subtle non-thermal correlations in evaporation processes. Moreover, the discretized nature of QMM imposes a Planck-scale cutoff, potentially taming UV divergences and modifying running couplings at trans-Planckian energies. We outline major challenges, such as the precise formulation of non-Abelian imprint operators and the integration of QMM with loop quantum gravity, as well as possible observational strategies — ranging from rare decay channels to primordial black hole evaporation spectra — that could provide indirect probes of this discrete, memory-based view of quantum gravity and the Standard Model.

Abstract: In the work, within the framework of the self-consistent model of arc discharge, simulations of plasma parameters in an argon/methane mixture were performed taking into account the evaporation of the electrode material in the case of a refractory and non-refractory cathode. It is shown that in the case of a refractory tungsten cathode, almost the same methane conversion rate is observed, which leads to almost the same values ​​of the concentration of the main methane conversion products C, C2, H at different values ​​of the discharge current density. However, with an increase in the current density, the evaporation rate of copper atoms from the anode increases and a jump in the I-V characteristic is observed, caused by a change in the plasma-forming ion. This fact is due to the lower ionization energy of copper atoms compared to argon atoms. In this mode, one should expect an increase in metal-carbon nanoparticles. It is shown that in the case of a non-refractory copper cathode, the discharge characteristics and the component composition of the plasma depend on the field enhancement factor near the cathode surface. It has been demonstrated that increasing the field enhancement factor leads to more efficient thermal field emission, lowering the cathode surface temperature and the gas temperature in the discharge gap. This leads to the fact that in the arc discharge mode with a non-refractory copper cathode, the dominant types of particles from which the nanostructure can begin to be synthesized in descending order are copper atoms Cu, carbon clusters C2 and carbon atoms C.

Abstract: Acoustic emission, AE, belonging to rubber-like deformation in martensitic state after stress induced martensite stabilization (SIM) of Ni51Fe18Ga27Co4 single crystals, in compression were investigated. AE activity in the plateau regions of the stress-strain loop is due to massive reorientation from variant, produced by SIM aging, to the variants preferred by the compressive stress (perpendicular to the stress used in SIM aging) and vice versa. For unloading the large AE activity just at the knee point of the stress-stain curve is attributed to the difficulty of the re-nucleation of the SIM aging stabilized martensite variant. The amplitude, peak energy and area of signals can be described by power-like distributions and the characteristic exponents, are in good agreement with data obtained in other alloys. Power law cross-correlations between the energy, E, and amplitude, A, as well as between the area, S, and the amplitude, A, were also analyzed. It was found that the exponents are given by 3-φ as well as 2-φ, respectively with φ≅0.7. Normalized universal temporal shapes of avalanches (i.e. the UA versus tA1-φ plots, where U is the detected voltage) for fixed area, scale very well together. The tail of the normalized temporal shape decays more slowly than the theoretical prediction, which can be attributed to intrinsic absorption of AE signals and/or to overlap of sub-avalanches.

Abstract:

In quantum mechanics (QM), the electron of spin-charge, ±1/2 in probabilistic distribution about a nucleus of an atom is described by non-relativistic Schrödinger wave equation. Its transformation to Dirac fermion of a complex four-component spinor is incorporated into relativistic quantum field theory (QFT) based on Dirac theory. The link between QM and QFT on the basis of space-time structure remains lacking without the development of a proper, complete theory of quantum gravity. In this study, how a proposed MP model of 4D space-time mimicking hydrogen atom type is able to combine both QM and QFT into a proper perspective is explored. The electron of a point-particle and its transformation to Dirac fermion appears consistent with Dirac belt trick while sustaining unitarity of spin-charge and wave-particle duality with center of mass reference frame relevant to Newtonian gravity assigned to the point-boundary of the spherical model. Such a tool appears dynamic and is compatible with basic aspects of both QM and QFT such as non-relativistic wave function and its collapse, quantized Hamiltonian, Dirac spinors, Weyl spinors, Marjorana fermions and Lorentz transformation. How all these relate to space-time curvature for an elliptical orbit without invoking a framework of space-time fabric is plotted for general relativity and a multiverse of the MP models at a hierarchy of scales is proposed for further investigations.

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Abstract: Microfluidic systems have become a hot topic in Micro-Electro-Mechanical System (MEMS) research, with micropumps serving as a key element due to their role in determining structural and flow dynamics within these systems. This study aims to analyze the influence of different structural obstacles within microfluidics on micropump efficiency and to offer guidance for improving microfluidic system designs. In this context, a MEMS-based micropump valve structure was developed, and simulations were conducted to examine the effects of the valve on microfluidic oscillations. The research explored various configurations, including valve positions and quantities, yielding valuable insights for optimizing microfluidic transport mechanisms at the microscale.