Exact mathematical Formula that connect 6 dimensionless physical constants

In this paper are a new formula for the Planck length ℓpℓ and a new formula for the Avogadro number NA. Also 9 Mathematical formulas that connect dimensionless physical constants. The 6 dimensionless physical constants are the Proton to Electron Mass Ratio μ,the Fine-structure constant α,the ratio Ν1 of electric force to gravitational force between electron and proton,the Avogadro number NA,the Gravitational coupling constant αG for the electron and the gravitational coupling constant αG(p) of proton.

The Effect of Ion-to-Electron Mass Ratio on the Electron Beam-Plasma Interaction

Two-dimensional electromagnetic particle-in-cell simulations are carried out to investigate the effect of ion-to-electron mass ratio on the evolution of warm electron beam-plasma instability. Four cases are considered: A: mi/me = 0 (two-electron stream instability); B: mi/me = 1 (pair plasma); C: mi/me = 100; and D: mi/me = 1000. It is shown that the generation of Langmuir waves in the fundamental mode of electron plasma frequency and the subsequent dynamics of large-amplitude solitons are not affected by the ion species. However, it determines the decay process of solitons and the excitation of electromagnetic waves in the second harmonic. In the first two cases, mi/me = 0 and 1, there is no sign of emission in the second harmonic, while the strongest emission in the second harmonic is found for the case of largest mass ratio, mi/me = 1000. This confirms the two-step wave-wave coupling mechanism for the generation of second harmonic electromagnetic waves, which requires the excitation of ion-acoustic waves in the first step. Moreover, the dispersion diagrams of all excited waves are presented.

Tailoring linear and nonlinear surface plasmon response in borophene nanostructure

A newly reported 2D material “borophene” provides a novel building block for nanoscale materials and devices. In this work, the linear and nonlinear plasmonic response of electric dipole moment in the metallic borophene is theoretically investigated. In our proposed model, the borophene nanostructure is deposited on the top of the dielectric layer sandwiched with the silver layer acting as a mirror. It was found that the scattering at the scattering peak originates mainly from the exciting total electric dipole. Our calculations demonstrated that scattering in the proposed model can be tuned well with carrier relaxation time, effective electron mass, and free carrier density. The strongly localized fundamental field induces the desired increase of second harmonic wave, which is discussed in detail by introducing the second-order nonlinear source. In addition, the evolution of the lifetime of linear and nonlinear plasmonic modes is also investigated which helps us to study the underlying mechanism of micro process in the borophene plasmonic-photonic interaction. The manipulation of plasmonic behavior and lifetime evolution makes the borophene an excellent platform for tunable plasmonic-photonic devices.

Gravitational cells and gravitational strings as a necessary part of the gravitational field. Obtaining new physical formulas and indicators: the formula for the gravitational constant, the formula for the mass of the hydrogen atom, the formula for the vibrational velocity of a gravitational string, the minimum distance of action of gravitational forces etc.

This study introduces scientific concepts such as gravitational cells and gravitational strings. Gravitational cells and gravitational strings have been organically built into the concept of a gravitational field. This innovation has led to significant scientific results. These results include obtaining the formula for the gravitational constant, the formula for the electron mass, the formula for the mass of the hydrogen atom, the formula for the minimum distance of the action of the gravitational field, etc. All formulas were confirmed by experimental data. In this work, the Planck formula was successfully applied to the gravitational field. A distinctive feature of this study is the fact that most of the new formulas contain only fundamental physical constants (without introducing additional indicators and proportionality coefficients). In this work, the concept of a gravitational quantum is introduced and its value is determined. Also, a new physical constant was obtained - the mass of the gravitational cell of a black hole.

Gravitational cells and gravitational strings as a necessary part of the gravitational field. Obtaining new physical formulas and indicators: the formula for the gravitational constant, the formula for the mass of the hydrogen atom, the formula for the vibrational velocity of a gravitational string, the minimum distance of action of gravitational forces etc.

This study introduces scientific concepts such as gravitational cells and gravitational strings. Gravitational cells and gravitational strings have been organically built into the concept of a gravitational field. This innovation has led to significant scientific results. These results include obtaining the formula for the gravitational constant, the formula for the electron mass, the formula for the mass of the hydrogen atom, the formula for the minimum distance of the action of the gravitational field, etc. All formulas were confirmed by experimental data. In this work, the Planck formula was successfully applied to the gravitational field. A distinctive feature of this study is the fact that most of the new formulas contain only fundamental physical constants (without introducing additional indicators and proportionality coefficients). In this work, the concept of a gravitational quantum is introduced and its value is determined. Also, a new physical constant was obtained - the mass of the gravitational cell of a black hole.

Gravitational cells and gravitational strings as a necessary part of the gravitational field. Obtaining new physical formulas and indicators (the formula for the gravitational constant, the formula for the mass of the hydrogen atom, etc.)

This study introduces scientific concepts such as gravitational cells and gravitational strings. Gravitational cells and gravitational strings have been organically built into the concept of a gravitational field. This innovation has led to significant scientific results. These results include obtaining the formula for the gravitational constant, the formula for the electron mass, the formula for the mass of the hydrogen atom, the formula for the minimum distance of the action of the gravitational field, etc. All formulas were confirmed by experimental data. In this work, the Planck formula was successfully applied to the gravitational field. A distinctive feature of this study is the fact that most of the new formulas contain only fundamental physical constants (without introducing additional indicators and proportionality coefficients). In this work, the concept of a gravitational quantum is introduced and its value is determined. Also, a new physical constant was obtained - the mass of the gravitational cell of a black hole.

Dark QED from inflation

One contribution to any dark sector’s abundance comes from its gravitational production during inflation. If the dark sector is weakly coupled to the inflaton and the Standard Model, this can be its only production mechanism. For non-interacting dark sectors, such as a free massive fermion or a free massive vector field, this mechanism has been studied extensively. In this paper we show, via the example of dark massive QED, that the presence of interactions can result in a vastly different mass for the dark matter (DM) particle, which may well coincide with the range probed by upcoming experiments.In the context of dark QED we study the evolution of the energy density in the dark sector after inflation. Inflation produces a cold vector condensate consisting of an enormous number of bosons, which via interesting processes — Schwinger pair production, strong field electromagnetic cascades, and plasma dynamics — transfers its energy to a small number of “dark electrons” and triggers thermalization of the dark sector. The resulting dark electron DM mass range is from 50 MeV to 30 TeV, far different from both the 10−5 eV mass of the massive photon dark matter in the absence of dark electrons, and from the 109 GeV dark electron mass in the absence of dark photons. This can significantly impact the search strategies for dark QED and, more generally, theories with a self-interacting DM sector. In the presence of kinetic mixing, a dark electron in this mass range can be searched for with upcoming direct detection experiments, such as SENSEI-100g and OSCURA.

Metal telluride-nitride electrocatalysts for sustainably overall seawater electrolysis

High-efficiency alkaline seawater electrolysis is a promising strategy to promote the sustainability of wide-ranging hydrogen (H2) production, and the global goal of carbon neutrality. Searching for an ideal candidate with low cost and high electrocatalytic performance for both the hydrogen evolution reaction (HER) and the oxygen evolution reaction (OER) is a major objective. Herein, we report delicate, heterostuctured NiTe-NiCoN and NiTe-NiFeN electrocatalysts constructed of nickel cobalt nitride and nickel iron nitride nanosheets uniformly anchored on NiTe nanorod arrays, respectively, which ensure outstanding HER and OER activity along with ultra-long-term stability. Impressively, the NiTe-NiCoN || NiTe-NiFeN couples in alkaline seawater solution delivered 500 mA cm−2 at a record low voltage of 1.84 V, and realized an industry-level performance via a solar-powered system and a wind-power system. Further comprehensive analysis has revealed that interface engineering strategy not only ensures that the surficial nitride exposes abundant active sites, but also induces electron modulation that optimizes the binding strength of absorption/desorption for the reaction intermediates to enhanced the the intrinsic activity, as well as facilitate faster electron-mass transfer. Notably, a high electric field intensity generated by the unique nanosheet-nanorod structure induces a local “hydroxide enrichment” environment that effectively promotes the OER kinetics, while inhibits the side effects of chlorine. This work shed lights on these novel heterostructured electrocatalysts with strong synergy, while demonstrating the key role of the unique nanostructures in high-efficiency seawater electrolysis.