Changes

(7) The limit is not taken in E=γmc² (m is the invariant mass) but in E² = (pc)² + (mc²)². If m=0 then E=|p|c: the ratio between the magnitude of the speed '|v|' and the speed of light 'c' is given by (|p|c)/E, so |v|=c. There is no discontinuity: these formulas can be found on every basic relativity textbook.

(7) The limit is not taken in E=γmc² (m is the invariant mass) but in E² = (pc)² + (mc²)². If m=0 then E=|p|c: the ratio between the magnitude of the speed '|v|' and the speed of light 'c' is given by (|p|c)/E, so |v|=c. There is no discontinuity: these formulas can be found on every basic relativity textbook.

(8) None of them. The longitudinal inertia is proportional to γ³m, the transverse inertia to γm. Please note that same effect is also present in the electromagnetic theory (inertia caused by the self-interaction between a charged object and his own electromagnetic field) ''without'' using relativity.

(8) <u>None of them</u>. The longitudinal inertia is proportional to γ³m (which is not the relativistic mass), the transverse inertia to γm (which is the relativistic mass). Inertia, rest mass and relativitstica mass have different meanings, they coincide only when the particle is much slower than light. Please note that same effect is also present in the electromagnetic theory (inertia caused by the self-interaction between a charged object and his own electromagnetic field) ''without'' using relativity.

See, for example: Lorentz, H.A. (1899), "[http://www.google.com/url?sa=t&source=web&cd=1&ved=0CBoQFjAA&url=http%3A%2F%2Fwww.dwc.knaw.nl%2FDL%2Fpublications%2FPU00014586.pdf&rct=j&q=Lorentz%2C%20H.A.%20(1899)%2C%20%22Simplified%20Theory%20of%20Electrical%20and%20Optical%20Phenomena%20in%20Moving%20Systems%22%20filetype%3Apdf&ei=UtNDTu6iDcPQsgaG5Nn0Bw&usg=AFQjCNFdeh3z8bGjXCGF3sVO5vfjrz2VZQ&sig2=ZTmtnZRgRwCY7LGxkC17uw&cad=rja Simplified Theory of Electrical and Optical Phenomena in Moving Systems]", Proc. Roy. Soc. Amst.: 427-442.

See, for example: Lorentz, H.A. (1899), "[http://www.google.com/url?sa=t&source=web&cd=1&ved=0CBoQFjAA&url=http%3A%2F%2Fwww.dwc.knaw.nl%2FDL%2Fpublications%2FPU00014586.pdf&rct=j&q=Lorentz%2C%20H.A.%20(1899)%2C%20%22Simplified%20Theory%20of%20Electrical%20and%20Optical%20Phenomena%20in%20Moving%20Systems%22%20filetype%3Apdf&ei=UtNDTu6iDcPQsgaG5Nn0Bw&usg=AFQjCNFdeh3z8bGjXCGF3sVO5vfjrz2VZQ&sig2=ZTmtnZRgRwCY7LGxkC17uw&cad=rja Simplified Theory of Electrical and Optical Phenomena in Moving Systems]", Proc. Roy. Soc. Amst.: 427-442.