simply put, objects with mass cannot be accelerated to exactly the speed of light as the Lorentz factor will diverge to infinity. If you take the Maclaurin expansion of the Lorentz factor(adsbygoogle = window.adsbygoogle || []).push({});

And then allow the velocity of the object to hypothetically be equal to the speed of light or let B=1

then your left with a series

=1+1/+2+3/8+5/16+35/128......

which is divergent.

My question is, does this series have an analytic continuation and if so what is the value assigned to that continuation ?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Lorents Factor Expansion

Tags:

Loading...

Similar Threads for Lorents Factor Expansion |
---|

I Gamma factor for rest frame |

A Expansion due to gravitational waves |

B Distance expansion when we move away from an object? |

I Feynman II, equation 26.11, off by a factor |

**Physics Forums | Science Articles, Homework Help, Discussion**