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The Special Theory of Relativity in Six Dimensions of Spacetime Continuum.

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Title: The Special Theory of Relativity in Six Dimensions of Spacetime Continuum.
Authors: Khadka, Chandra Bahadur1 (AUTHOR) chandrabahadur9988@gmail.com
Source: Journal of Experimental & Theoretical Physics. Feb2026, Vol. 142 Issue 2, p107-134. 28p.
Subjects: Lorentz transformations, Spacetime, Hyperbolic functions, Energy momentum relationship, Special relativity (Physics), Frames of reference (Relativity)
Abstract: In this work we extend the four-dimensional space time theory of special relativity to six dimensions by adding two extra time coordinates, thereby we propose here six Lorentz transformation equations between inertial frames of reference moving in the three dimensions of space. The Lorentz matrix of order 6 × 6 using new six transformation equations is presented for the case when the coordinate systems have a relative velocity in three dimensions. Also, an elementary derivation of the new transformations in terms of hyperbolic functions including its matrix formulation has been thoroughly discussed. In addition to these, the invariance of differential space-time interval, invariance of d'Alembert operator, transformation of energy and momentum have been theoretically interpreted on the basis of the extended Lorentz transformation equations. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Experimental & Theoretical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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PubType: Academic Journal
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  Data: The Special Theory of Relativity in Six Dimensions of Spacetime Continuum.
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  Data: <searchLink fieldCode="AR" term="%22Khadka%2C+Chandra+Bahadur%22">Khadka, Chandra Bahadur</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> chandrabahadur9988@gmail.com</i>
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  Data: <searchLink fieldCode="DE" term="%22Lorentz+transformations%22">Lorentz transformations</searchLink><br /><searchLink fieldCode="DE" term="%22Spacetime%22">Spacetime</searchLink><br /><searchLink fieldCode="DE" term="%22Hyperbolic+functions%22">Hyperbolic functions</searchLink><br /><searchLink fieldCode="DE" term="%22Energy+momentum+relationship%22">Energy momentum relationship</searchLink><br /><searchLink fieldCode="DE" term="%22Special+relativity+%28Physics%29%22">Special relativity (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Frames+of+reference+%28Relativity%29%22">Frames of reference (Relativity)</searchLink>
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  Data: In this work we extend the four-dimensional space time theory of special relativity to six dimensions by adding two extra time coordinates, thereby we propose here six Lorentz transformation equations between inertial frames of reference moving in the three dimensions of space. The Lorentz matrix of order 6 × 6 using new six transformation equations is presented for the case when the coordinate systems have a relative velocity in three dimensions. Also, an elementary derivation of the new transformations in terms of hyperbolic functions including its matrix formulation has been thoroughly discussed. In addition to these, the invariance of differential space-time interval, invariance of d'Alembert operator, transformation of energy and momentum have been theoretically interpreted on the basis of the extended Lorentz transformation equations. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Journal of Experimental & Theoretical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1134/S106377612560206X
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      – Code: eng
        Text: English
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        PageCount: 28
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      – SubjectFull: Lorentz transformations
        Type: general
      – SubjectFull: Spacetime
        Type: general
      – SubjectFull: Hyperbolic functions
        Type: general
      – SubjectFull: Energy momentum relationship
        Type: general
      – SubjectFull: Special relativity (Physics)
        Type: general
      – SubjectFull: Frames of reference (Relativity)
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      – TitleFull: The Special Theory of Relativity in Six Dimensions of Spacetime Continuum.
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              Text: Feb2026
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              Y: 2026
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