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A dual first-postulate basis for special relativity

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B Coleman



CORRIGENDUM

This is a Corrigendum for the article 2003 Eur. J. Phys. 24 301

On page 305, the text and equation following equation (14) should read as follows.

If Ω is negative, then at $v = 1/\sqrt{-3\Omega}$, -z is infinite. Higher-order equi-recessive cascades would reduce this singularity threshold to any desired lower proportion of whatever $1/\sqrt{-\Omega}$ might be (as mentioned by Rindler [17]); i.e.,

Velocity addition singularity excludes any finite negative value for Ω. (15)

On page 308, the labels T4 and t4 in figure 6 should be interchanged.

On page 309, the second part of equation (33) should read

t_n=\frac{T_{n-1} + vL +\sqrt{vT_{n-1}(vT_{n-1} + 2L)+G^2}}{(1-v^2)}..

On page 309, equation (35) should read

T_n=\frac{T_{n-1} + vL +\sqrt{vT_{n-1}(vT_{n-1} + 2L)+G^2}}{(1-v^2)}\\ +\small\boldsymbol{} \frac{(1-v\Omega)[v^{2}T_{n-1} + vL + \sqrt{vT_{n-1}(vT_{n-1} + 2L)+G^2}]^2/(1-v^2)} {\sqrt{[vT_{n-1}+L+v\sqrt{vT_{n-1}(vT_{n-1} + 2L)+G^2}]^2(1-v)^2+(1-v^2)(1-v\Omega)^2(1-v^2\Omega)(G^2-L^2)}}..

On page 311, in equation (40), p in the central denominator expression should be q.


Dates

Issue 4 (23 July 2003)



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