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2017•Unpublished venueOpen access

Derivation of Lorentz Transformation via Lorentz Invariant

Xiao-Ping Qin, Peng Li, Gang Su, Ling-Mei Cong

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Abstract

We derive the Lorentz transformation matrix via the invariance of spacetime interval.The derivation is greatly simplified by using hyperbolic functions.The Lorentz scalar and the 4-vector are explained via the concept of relativistic covariance and the results are applied to relativistic mechanics.This paper helps to better understand the mathematical structure of special relativity, and may be useful for engineers working with relativistic applications such as satellite navigation and precision chronometry.

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What this paper is about

We derive the Lorentz transformation matrix via the invariance of spacetime interval.The derivation is greatly simplified by using hyperbolic functions.The Lorentz scalar and the 4-vector are explained via the concept of relativistic covariance and the results are applied to relativistic mechanics.This paper helps to better understand the mathematical structure of special relativity, and may be useful for engineers working with relativistic applications such as satellite navigation and precision chronometry.

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Available abstract

We derive the Lorentz transformation matrix via the invariance of spacetime interval.The derivation is greatly simplified by using hyperbolic functions.The Lorentz scalar and the 4-vector are explained via the concept of relativistic covariance and the results are applied to relativistic mechanics.This paper helps to better understand the mathematical structure of special relativity, and may be useful for engineers working with relativistic applications such as satellite navigation and precision chronometry.

Key concepts: Four-momentum, Lorentz transformation, Lorentz covariance, Velocity-addition formula, Invariant (physics), Lorentz factor, Test theories of special relativity, Transformation (genetics)

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