用时空代数推导狭义相对论的任意方向加速度变换

doi:10.16854 /j.cnki.1000-0712.180458

College Physics ›› 2019, Vol. 38 ›› Issue (4): 8-12.doi: 10.16854 /j.cnki.1000-0712.180458

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Derivation of acceleration transformation along arbitary direction in special relativity using space-time algebra

WANG Yong-gang，CAO Xue-cheng，JIANG Gui-jun， GAO Feng，ZHANG Hong，ZHAO Wen-li

Department of Applied Physics，School of Infromation Science and Enginerring， Shandong Agricultural University，Tai’an，Shandong 271018，China

Received:2018-08-14 Revised:2018-10-18 Online:2019-04-20 Published:2019-05-06

Abstract

Abstract: Space-time algebra ( STA) is a 16-dimension geometric algebra or Clifford algebra，denoted by

Cl1，3，defined on 4-dimension real Minkowski space M4 . STA is an associative algebra ring and has the advantage

of being independent of any coordinate frames. By means of STA，a concise derivation of acceleration transformation

between two inertial frames moving in arbitrary direction is presented.

Key words: space-time algebra, special relativity, Lorentz transformation, velocity transformation, acceleration transformation

WANG Yong-gang, CAO Xue-cheng, JIANG Gui-jun, . Derivation of acceleration transformation along arbitary direction in special relativity using space-time algebra[J].College Physics, 2019, 38(4): 8-12.

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Derivation of acceleration transformation along arbitary direction in special relativity using space-time algebra

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