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$\begingroup$ Since 'zero speed' is not invariant, any massless particle must move at c. $\endgroup$
– Eelvex
Commented Feb 12, 2014 at 13:12
$\begingroup$ Let us consider the particle's mass to be a function of (theta), In which case F_i = m(theta) a_i = 0 when (theta) = 90,where m(theta) = (rest mass) cos(theta),from this we realize that when theta = 0 ,I.e when it apears to be moving in space we realise F_i = F_j but F_i = (rest mass) a_i which contradicts the special relativIty since its speed would be c,therefore its rest would have to be infinite and when it is whizzing of at speeds greater than c we realize it would have complex.. $\endgroup$
– user34793
Commented Feb 12, 2014 at 17:46
4

$\begingroup$ Newton's law should be $F = dp/dt$ here, not $F = ma$. $\endgroup$
– Luke Burns
Commented Nov 16, 2016 at 13:58

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