Supersymmetry in complex space-time

An interconnection between superluminal transformation and supersymmetric transformations has been investigated in complex C³-space and the evolution of bosonic and fermionic subspaces in such space has been undertaken. Introducing the suitable anticommuting operators to induce grading in Poincare group in C³-space in terms of components of complex angular momentum operator, the supersymmetric algebra connecting bradyonic and tachyonic bosons and fermions has been constructed and it has been demonstrated that the difference between scales of bosonic and fermionic subspaces in C³-space increases quickly in spite of their closeness initially.     

On the equations for p-adic closed and open strings

A survey of several pure mathematical results concerning the boundary-value problems for nonlinear pseudo-differential equation for closed and open strings in d-dimensional flat spacetime is presented. We obtained some results on existence or nonexistence of solutions. In particular, the absence of almost-periodic solutions was shown. We consider also some numerical approaches to the problems. The text was submitted by the author in English.     

Tachyon trajectories in Schwarzschild’s space-time

The motion of a tachyon in the empty Schwarzschild solution outside a massm is discussed. It is shown that a tachyon falling radially inwards never reaches the space-time singularity at the origin. Instead, it is bounced back at a point inside the Schwarzschild radius. The causal and non-causal aspects of such a bounce are considered. It is shown that a tachyon dropped from a radial co-ordinate <2.56m always airives before it went in whereas a tachyon dropped from a radial co-ordinate >3.27m always arrives later than its starting time. The more general case of a tachyon with a finite angular momentum is also analyzed. The possible astrophysical consequences of the presence of tachyons near condensed or collapsing objects and black holes are qualitatively discussed.     

Non-standard clock synchronization in special relativity and the hypothetical ether frame

Assuming an Einsteinian world, formulae are given for achieving non-standard clock synchronization by various methods. It is shown that synchronization in one inertial frame simultaneously gives the same synchronization relative to all other frames. Absolute synchronization is not unique, and considerations of synchronization cannot distinguish an ether frame. In any world, synchronization with tachyons would produce the same results as other methods.     

Tachyonic Cherenkov emission from Jupiterʼs radio electrons

Tachyonic Cherenkov radiation from inertial relativistic electrons in the Jovian radiation belts is studied. The tachyonic modes are coupled to a frequency-dependent permeability tensor and admit a negative mass-square, rendering them superluminal and dispersive. The superluminal radiation field can be cast into Maxwellian form, using 3D field strengths and inductions, and the spectral densities of tachyonic Cherenkov radiation are derived. The negative mass-square gives rise to a longitudinal flux component. A spectral fit to Jupiter?s radio spectrum, inferred from ground-based observations and the Cassini 2001 fly-by, is performed with tachyonic Cherenkov flux densities averaged over a thermal electron population.     

Comments on a paper by Marchildon,Antippa, and Everett about tachyons

Marchildonet al. [Phys. Rev. D 27, 1740 (1983)] expressed criticisms about old versions of some approaches to the theory of tachyons. We refute those criticisms somewhatbriefly, since suitable answers werealready present in the literature at the time when the paper here commented upon was being prepared.     

Tachyon emission from white-holes

Investigations are made about the motion of a radially outward propagating tachyon which is created in the singularity with the white-hole. The problem of confinement or escape of such a tachyon from a white-hole is discussed. It is shown that the confinement or escape of the tachyon depends on the maximum radius of the white-hole and also on a parameterk (defined in the text) associated with the momentum of the tachyon. Also it is shown that when a tachyon escapes it always escapes beofre the white-hole has expanded to half its Schwarzschild radius.     

Did Günter Nimtz discover tachyons?

It is argued that in the famous G. Nimtz experiment tachyons were produced and annihilated. We base our considerations on the new version of Special Relativity elaborated recently by one of the authors.     

Casimir Effect for Tachyonic Fields

In this paper we examine the Casimir effect for the case of a tachyonic field corresponding to particles with negative four-momentum squared, i.e., m² < 0. We consider here only the case of the one dimensional, scalar field. In order to describe tachyonic field, we use the absolute synchronization scheme preserving Lorentz invariance. The renormalized vacuum energy is calculated by means of the Abel-Plana formula. Finally, the Casimir energy and Casimir force as the functions of distance are obtained. In order to compare the resulting formula with the standard one, we calculate the Casimir energy and Casimir force for massive, scalar field (m² > 0).