When expanding Kinetic energy as(adsbygoogle = window.adsbygoogle || []).push({});

T=mc^{2}-m_{0}c^{2}

where m_{0}=rest mass and

m=m_{0}/sqrt(1-β^{2})

the first term correction is coming out to be -p^{4}/8m_{0}^{3}c^{2}

but taking T=E-m_{0}c^{2}

where E=sqrt(c^2p^2+m_{0}^{2}c^{4}) the correction is coming to be 3p^4/8m_{0}^{3}c^{2}

is there any contradiction?

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# I Special relativity

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