INCREASED LIFE EXPECTANCY BASED ON PHYSICAL FORMULAS

Life expectancy is due to the frequency of processes occurring in the body. The lower the frequency, the longer the lifespan. The frequency is influenced by the fraction of vacuum particles in a free, unbound state. Elementary particles are connected, grouped particles of vacuum. But in a free state, a large proportion of them affect the frequency of oscillations, increasing it, therefore, reducing the lifetime. The connection between a living organism and an inanimate body has been drawn. Dislocations are analogous to vacuum particles. Their low density and low fraction of vacuum particles describe the theoretical ultimate strength and lifetime. The increase in density and the formation of crystalline elementary particles cause the average lifetime and average strength, orders of magnitude smaller than the theoretical one. A further increase in the dislocation density causes cracks and ruptures, and partly chaotic formation — tumors, partly crystalline. Chaos and order are described by a complex unified field that causes tumors. This unified field is described by the hydrodynamic, acoustic, complex Reynolds number with a small imaginary part. But the formation of a small imaginary Reynolds number is an inevitable process with increasing time, as is the formation of tumors. But how to deal with them. It is necessary for the tumors to pass from a partially chaotic state to a crystalline one, forming elementary particles. This requires a periodic unified field with a wavelength equal to a constant period, which is formed by vacuum particles in elementary, crystalline particles. In addition, an imaginary magnetic field is required, which has a sign opposite to the Reynolds number. Just irradiating the tumor will not help, you need a certain wavelength and a certain sign of the imaginary magnetic

Bifurcation of nonlinear bound states in the periodic Gross-Pitaevskii equation with 𝒫𝒯-symmetry

The stationary Gross–Pitaevskii equation in one dimension is considered with a complex periodic potential satisfying the conditions of the 𝒫𝒯 (parity-time reversal) symmetry. Under rather general assumptions on the potentials, we prove bifurcations of 𝒫𝒯-symmetric nonlinear bound states from the end points of a real interval in the spectrum of the non-selfadjoint linear Schrödinger operator with a complex 𝒫𝒯-symmetric periodic potential. The nonlinear bound states are approximated by the effective amplitude equation, which bears the form of the cubic nonlinear Schrödinger equation. In addition, we provide sufficient conditions for the appearance of complex spectral bands when the complex 𝒫𝒯-symmetric potential has an asymptotically small imaginary part.

Finite lifetime broadening of calculated X-ray absorption spectra: possible artefacts close to the edge

X-ray absorption spectra calculated within an effective one-electron approach have to be broadened to account for the finite lifetime of the core hole. For methods based on Green's function this can be achieved either by adding a small imaginary part to the energy or by convoluting the spectra on the real axis with a Lorentzian. By analyzing the FeK- andL2,3-edge spectra it is demonstrated that these procedures lead to identical results only for energies higher than a few core-level widths above the absorption edge. For energies close to the edge, spurious spectral features may appear if too much weight is put on broadeningviathe imaginary energy component. Special care should be taken for dichroic spectra at edges which comprise several exchange-split core levels, such as theL3-edge of 3dtransition metals.

Integral equation methods with unique solution for all wavenumbers applied to acoustic radiation

The acoustic exterior Neumann problem is solved using an easy process based upon the boundary element method and able to eliminate effects of irregular frequencies in time harmonic domain. This technique is performed as follows: (i) two computations are done around the characteristic frequency, decreased and increased by a small imaginary part; (ii) average between pressures at these two frequencies ensures unique solution for all wavenumbers. This method is numerically tested for an infinite cylinder, an axisymmetric cylinder, a sphere and a three-dimensional cat’s eye structure. This work highlights ease and efficiency of the technique under consideration to remove the irregular frequencies effects.