Relativity Relation Cross Scans

Length Contraction Three-Row Scan

gamma divides length

Keeping one checked gamma triangle shows moving length scaling with rest length.

Keeping one checked gamma triangle shows moving length scaling with rest length. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Five rest metres measure four moving metres

Rest length 5 m divided by gamma 5/4 gives moving length 4 m.

5÷54=45\div\frac{5}{4}=4
Length contractionGamma divides the rest length along motion.speedquiet leglimitbetagammarest lengthmoving length

Ten rest metres measure eight moving metres

Rest length 10 m gives moving length 8 m under the same gamma.

10÷54=810\div\frac{5}{4}=8
Length contractionGamma divides the rest length along motion.speedquiet leglimitbetagammarest lengthmoving length

Fifteen rest metres measure twelve moving metres

The third row keeps the same speed triangle. Rest length 15 m gives moving length 12 m.

15÷54=1215\div\frac{5}{4}=12
Length contractionGamma divides the rest length along motion.speedquiet leglimitbetagammarest lengthmoving length