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ABSTRACT THE very recent and inspiring work of Prof. E. A. Milne on world structure has led us to investigate whether there exists a law connecting the velocity and distance of a particle

from an observer which is invariant for the generalised Lorentz transformation. In the usual notation, the only law of the form _f_(_x_1, _x_2, _x_3, _x_4) = 0 which is invariant for the

infinitesimal Lorentz transformation is known to be _x_12 + _x_2 + _x_32 + _x_43 = 0, which gives the propagation of light. Following this, we have investigated whether there exists a law of

the form (_x_1, _x_2, _x_3, _x_4, _u_, _v_, _w_) = 0 which is invariant for the generalised Lorentz transformation; here _u_ = _dx_1/_dx_4, _v_ = _dx_2/_dx_4, etc. In its generalised form

the transformation is and similarly, _v_, _w_ may be obtained. _h_, _a_, _b_ are the constants of the transformation. We have found that the following set of equations is the only invariant

set of this type, that is, involving both velocities and co-ordinates: The corresponding equations for _u_, _v_, _x_1, follow immediately from (1). Access through your institution Buy or

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THE THEORY OF THERMODYNAMIC RELATIVITY Article Open access 30 September 2024 ARTIFICIAL DYNAMICAL EFFECTS IN QUANTUM FIELD THEORY Article 09 May 2022 IDENTIFICATION OF BASINS OF ATTRACTION

IN THE LOCAL UNIVERSE Article 27 September 2024 AUTHOR INFORMATION AUTHORS AND AFFILIATIONS * Hindu University, Benares V. V. NARLIKAR Authors * V. V. NARLIKAR View author publications You

can also search for this author inPubMed Google Scholar RIGHTS AND PERMISSIONS Reprints and permissions ABOUT THIS ARTICLE CITE THIS ARTICLE NARLIKAR, V. Recession of the Spiral Nebulæ.

_Nature_ 135, 149–150 (1935). https://doi.org/10.1038/135149b0 Download citation * Issue Date: 26 January 1935 * DOI: https://doi.org/10.1038/135149b0 SHARE THIS ARTICLE Anyone you share the

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