The general Galilean transformation

Klinaku, Shukri

doi:10.4006/0836-1398-30.3.243

Cited by 9 publications

(3 citation statements)

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“…Galilean transformation in Cartesian coordinates can be transformed in polars coordinates [14], or the same equation for Galilean transformation can be derived using the law of cosines [15],…”

Section: The Explanation Of Mme Using Galilean Transformation In Pola...mentioning

confidence: 99%

“…Let us now consider the MME (Figure 3). The length of both arms of the interferometer is l. On the transverse arm of the Michelson interferometer the light propagates upwards and downwards and conforms to equation (15) for the angle ߴ = 90˚. On the other arm the light propagates backwards and forwards and conforms to equation ( 5) for angles ߴ = 0˚ and ߴ = 180˚.…”

Section: The Explanation Of Mme Using the Doppler Effectmentioning

confidence: 99%

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Michelson-Morley experiment explained by means of five methods

Klinaku

2022

J. Phys.: Conf. Ser.

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The Michelson-Morley experiment (MME) is still important to physics, and not just to the history of physics. The hypothesis of contraction of bodies in the direction of their motion arose as an ad hoc hypothesis about the “contraction” of the Michelson’s interferometer arm in the direction of its motion. Even today this experiment is the “strongest argument” of this hypothesis, and of time dilation too. This work will present the explanation of the MME through five methods. The first method can be called the traditional method, which was applied by Michelson, but not correctly. The other methods are the explanation of the MME with the interferometer located at an acute angle to the direction of Earth’s motion; with the light clock; using Galilean transformation in polar coordinates and using the Doppler effect formula. All these methods give the same solution, and this solution is in accordance with the experiment’s result. Solutions derived from these five methods represent a natural explanation for the result of the MME – without weird terms and without unscientific assumptions.

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Section: The Explanation Of Mme Using Galilean Transformation In Pola...mentioning

confidence: 99%

Section: The Explanation Of Mme Using the Doppler Effectmentioning

confidence: 99%

Michelson-Morley experiment explained by means of five methods

Klinaku

2022

J. Phys.: Conf. Ser.

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“…Some adequately defined frame of references have been implemented for the transformation relations based on various methodologies such as vector method, relative motion using isosceles triangle, Pythagoras' theorem, general Galilean transformation relation, Galilean principle using thought experiments, based on some axioms and principles like principle of general covariance, linearity principle, etc. [28,30,31,43,45,[49][50][51]54].…”

Section: Introductionmentioning

confidence: 99%

Generalised transformation relations for (1+1) dimensional motion of superluminal particles

Srivast,

Verma,

Vaish

2024

Preprint

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Here, we have proposed new transformation relations between two inertial frames with relative velocity greater than speed of light and discussed the required conditions to detect the faster than light particles in physical realm. For this a novel theoretical formulation is conceptualized to uniquely depict the frame of references, valid for all ranges of velocities, in a complex plane. For the tachyonic regime, the super-relativistic gamma (SRG) factor is obtained by parameterizing the generalised gamma factor using the complementary frames of reference of superluminal and subluminal space. This generalised gamma factor can also be reduced in the form of Lorentz factor for subluminal frame of references. The formulation of transformation relations has been analysed in four different classes, i.e., two inter and two intra classes of frames, for subluminal and superluminal particles. Further, it is suggested that intra classes of frames encompass a real gamma factor, whilst, inter classes of frames involve imaginary gamma factor. Velocity addition relations have been deduced and discussed corresponding to each transformation relations. To the end of this work, a generalized gamma factor has been concluded and validated for both frames of references.

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