What Happens When Things Go Near the Speed of Light? Advanced Analysis: Deriving the formula for g

Use the mathematical form of the plot to derive g - understanding the constant.

Don't forget what the hyperbola represents. The Minkowski Diagram plotted the difference in the measurements of the creation and the decay of the meson. Remember the data pair?

(Sd - Sc, Td - Tc)

For a data pair to have space = 0, the creation and decay must have happened in the same place! Rename another number as "the time when distance between creation and decay of the meson is zero" and symbolize it by the Greek letter Tau (t).

The equation for our hyperbola, then, looks like:

time2 - space 2 = t2

In other words, all of the data points can be used to calculate a certain constant.

What is the constant?

 BinNumber Mean Decay Length (s) Mean Decay Time (s) t (s) 1 5.25320 E-12 5.26699 E-12 3.8086 E-13 2 1.19318 E-11 1.19523 E-11 6.9891 E-13 3 1.11187 E-11 1.11317 E-11 5.3804 E-13 4 1.15704 E-11 1.15802 E-11 4.7608 E-13 5 1.39178 E-11 1.39267 E-11 4.9883 E-13 6 1.36513 E-11 1.36582 E-11 4.3569 E-13 7 1.69185 E-11 1.69254 E-11 4.8160 E-13 8 1.49663 E-11 1.49713 E-11 3.8846 E-13 9 1.58498 E-11 1.58543 E-11 3.7587 E-13 10 2.00322 E-11 2.00369 E-11 4.3423 E-13 11 1.34427 E-11 1.34454 E-11 2.7074 E-13 12 1.86430 E-11 1.86463 E-11 3.4965 E-13 13 1.89248 E-11 1.89277 E-11 3.3128 E-13 14 1.56065 E-11 1.56086 E-11 2.5604 E-13 15 2.04128 E-11 2.04153 E-11 3.2064 E-13 16 2.51898 E-11 2.51925 E-11 3.7223 E-13 17 3.89694 E-11 3.89732 E-11 5.4373 E-13 18 2.52780 E-11 2.52802 E-11 3.3479 E-13