arXiv subjects

Tomislav Ivezic

Publications and source records attributed to Tomislav Ivezic.

40 records · Page 3Linked to original sources

arXiv2001

The "True Transformations Relativity" Analysis of the Michelson_morley Experiment

In this paper we present an invariant formulation of special relativity, i.e., the ''true transformations relativity.'' It deals either with true tensor quantities (when no basis has been introduced) or equivalently with coordinate- based geometric quantities comprising both components and a basis (when some basis has been introduced). It is shown that this invariant formulation, in which special relativity is understood as the theory of a four-dimensional spacetime with the pseudo-Euclidean geometry, completely explains the results of the Michelson-Morley experiment. Two noncovariant approaches to the analysis of the Michelson-Morley experiment are discussed; the coventional one in which only the path lengths (optical or geometrical) are considered, and Driscoll's approach (R.B. Driscoll, Phys. Essays \QTR{bf}{10,}394 (1997)), in which the increment of phase is determined not only by the segment of geometric path length, but also by the wavelength in that segment. Because these analyses belong to the ''apparent transformations relativity,'' they do not agree with the results of the Michelson-Morley experiment.

physics.gen-ph↗

arXiv2000

"True Transformations Relativity" and Electrodynamics

Different approaches to special relativity (SR) are discussed. The first approach is an invariant approach in which physical quantities in the four-dimensional spacetime are represented by true tensors or equivalently by coordinate-based geometric quantities comprising both components and a basis. This approach we call the ''true transformations (TT) relativity.'' It is compared with the usual covariant approach, which mainly deals with the basis components of true tensors. The third approach is the usual noncovariant approach to SR in which some quantities are not tensor quantities, but rather quantities from ''3+1'' space and time, e.g., the synchronously determined spatial length. This formulation is called the ''apparent transformations (AT)\ relativity.'' The spacetime length is considered in the ''TT relativity'' and spatial and temporal distances in the ''AT relativity.'' It is also found that the usual transformations of the three-vectors of the electric and magnetic fields $\QTR{bf}{E}$ and $\QTR{bf}{B}$ are the AT. The Maxwell equations with $F^{ab}$ are written in terms of the 4-vectors of the electric $E^{a}$ and magnetic $B^{a}$ fields. The covariant Majorana electromagnetic field 4-vector $Ψ^{a}$ is constructed by means of 4-vectors $E^{a}$ and $B^{a}$ and the covariant Majorana formulation of electrodynamics is presented. A Dirac like relativistic wave equation for the free photon is obtained.

physics.class-ph↗

arXiv2000

True Transformations of Spacetime Lengths and Apparent Transformations of Spatial and Temporal Distances. I. the Theory

It is shown in this paper that the difference between the two forms of relativity - the ''true transformation (TT) relativity'' and - the ''apparent transformation (AT) relativity'' is essentially caused by the difference in the concept of \emph{sameness} of a physical system, i.e., of a physical quantity, for different, relatively moving, observers. In the ''TT relativity'' the same quantity for different inertial frames of reference is covariantly defined four-dimensional (4D) tensor quantity, which transforms according to the Lorentz transformation as the TT. In the ''AT relativity'' parts of a 4D tensor quantity are often considered as the same quantity for different observers, although they correspond to different quantities in 4D spacetime, and they are not connected by the Lorentz transformation than by the AT. Then the true transformations of a spacetime length and the apparent transformations of a spatial distance (the Lorentz contraction) and of a temporal distance (the usual dilatation of time) are examined in detail. It is proved that only the true transformations of the spacetime length are in agreement with the special relativity as the theory of a 4D spacetime with the pseudo-Euclidean geometry.

physics.class-ph↗

arXiv2000

True Transformations of Spacetime Lengths and Apparent Transformations of Spatial and Temporal Distances. II. the Comparison with Experiments

Some of the well-known experiments: the ''muon'' experiment, the Michelson-Morley type experiments, the Kennedy-Thorndike type experiments and the Ives-Stilwell type experiments are analyzed using the nonrelativistic theory, the ''apparent transformations (AT) relativity'' and the ''true transformations (TT) relativity.'' It is shown that all the experiments (when they are complete from the ''TT relativity'' viewpoint) are in agreement with the ''TT relativity'' in which the special relativity is understood as the theory of a four-dimensional spacetime with the pseudo-Euclidean geometry. It is also explicitly shown that, in contrast to the usual opinion, the commonly used ''AT relativity'' does not always agree with experiments. The concept of sameness of a physical quantity is essential for the distinction between the two forms of relativity both in the theory and in experiments. The difference in this concept causes the agreement of the ''TT relativity'' with the experiments and the disagreement of the ''AT relativity.''

physics.class-ph↗