Difference between revisions of "A New Train Paradox: Can Clock Time Depend on the Direction of Motion?"
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==Abstract== | ==Abstract== | ||
| − | Velocity is defined as distance traveled per time, hence c = x/t. The dilation of time in special relativity is given by the factor: t' = t / (1 - v? / c?)<sup>1/2</sup>. Moreover, due to the Lorentz-contraction x' = x / (1 - v? / c?)<sup>1/2 </sup>as well. Calculating space and time for c' = x'/t', either stretching factor in the numerator and the denominator cancel out. This leads to a paradox: If the velocity of light is constant in any system, i.e. if c = c', clocks will have to alter their pace depending on the direction of motion. | + | Velocity is defined as distance traveled per time, hence c = x/t. The dilation of time in special relativity is given by the factor: t' = t / (1 - v? / c?)<sup>1/2</sup>. Moreover, due to the Lorentz-contraction x' = x / (1 - v? / c?)<sup>1/2 </sup>as well. Calculating space and time for c' = x'/t', either stretching factor in the numerator and the denominator cancel out. This leads to a paradox: If the velocity of light is constant in any system, i.e. if c = c', clocks will have to alter their pace depending on the direction of motion. |
| − | [[Category:Relativity]] | + | [[Category:Scientific Paper|new train paradox clock time depend direction motion]] |
| + | |||
| + | [[Category:Relativity|new train paradox clock time depend direction motion]] | ||
Latest revision as of 19:18, 1 January 2017
| Scientific Paper | |
|---|---|
| Title | A New Train Paradox: Can Clock Time Depend on the Direction of Motion? |
| Read in full | Link to paper |
| Author(s) | Erich Wanek |
| Keywords | {{{keywords}}} |
| Published | 2010 |
| Journal | Proceedings of the NPA |
| Volume | 7 |
| No. of pages | 1 |
| Pages | 599 |
Read the full paper here
Abstract
Velocity is defined as distance traveled per time, hence c = x/t. The dilation of time in special relativity is given by the factor: t' = t / (1 - v? / c?)1/2. Moreover, due to the Lorentz-contraction x' = x / (1 - v? / c?)1/2 as well. Calculating space and time for c' = x'/t', either stretching factor in the numerator and the denominator cancel out. This leads to a paradox: If the velocity of light is constant in any system, i.e. if c = c', clocks will have to alter their pace depending on the direction of motion.
