Temur Z. Kalanov

1. The front (i.e. the point) of the light beam (for example, in the Michelson-Morly interferometer) is a physical object $L$. The equation for the front of the light beam in the system of coordinates $S$ (i.e. the Sun) is given by the expression: $x_{L} = ct$ where $c$ is the velocity of light in vacuo (light is propagated in the positive direction of the axis $Ox$), $t$ is time.
2. Material point (for example, Michelson-Morly interferometer’s mirror which is in the system of coordinates $E$ (i.e. the Earth)) is a object $M$. The Galilean transformation relates the coordinates of the point $M$ in the systems $S$ and $E$: $x_{M} = Vt + x^{\prime }_{M}$ where $V$ is the velocity of motion of the system $E$ relative to the system $S$ in the positive direction of the axis $Ox$ ($V < c$).
3. Introduction (insertion) of the Galilean transformation into the equation for the front of the light beam means equality between the coordinates: $x_{M}(t) = x_{L}(t)$. The equality between the coordinates of the objects $M$ and $L$ means an intersection (coincidence) of the objects $M$ and $L$ with each other. Hence, the physical meaning of such introduction (insertion) is that it means the intersection (coincidence) of the objects $M$ and $L$ with each other.
4. If $x_{M}(t) = x_{L}(t)$ is an equation for $t$, then a solution is given by the Michelson-Morly formulae: $t = D/(c – V)$ (in the system $S$) and $t = D/c$ (in the system $E$) where $D$ is the length of the interferometer’s shoulder.
5. The statement that the equalities $x_{M} = x_{L}$ (in the system $S$) and $x^{\prime }_{M} = x^{\prime }_{L}$ (in the system $E$) must be valid at any moment of time results in the Lorentz transformations (formulae): $x_{M} = \gamma (x^{\prime }_{M} + \beta x^{\prime }_{L})$, $x_{L} = \gamma (x^{\prime }_{L} + \beta x^{\prime }_{M})$ where $x_{L} = ct$, $x^{\prime }_{L} = ct^{\prime }$, $\beta \equiv V/c$, and $\gamma \equiv (1 – \beta ^{2})^{–1/2}$ is the contraction factor.
6. From the Lorentz transformations (formulae), it follows that the equalities $x_{M} = x_{L}$ and $x^{\prime}_{M} = x^{\prime}_{L}$ are valid at any moment of time. Hence, the physical meaning of the Lorentz formulae is that they express the intersection (coincidence) of the objects $M$ and $L$ with each other at any moment of time.
7. Since the objects $M$ and $L$ cannot intersect one another at any moment of time, the Lorentz transformations are incorrect. Thus, the theory of relativity is incorrect. The incorrectness of the special theory of relativity is proved with experimental data: the experimental and calculated data of Michelson-Morly are in the complete agreement with each other in the system $E$.

(A more detailed consideration is given in the articles [T.Z. Kalanov, in the journal: Doklady Akademii Nauk Respubliki Uzbekistan (1995-1999), and at http://www.mrelativity.net, http://wbabin.hypermart.net/paper/kalanov.htm]).

*Q1.018 The Theory of Relativity: An Error of the Transformation of Coordinates, Bulletin of the American Physical Society, April Meeting 2003

Alternative E-mail:
t.z.kalanov@mail.ru
tzk_uz@yahoo.com