Physics, Relativity, Muon, Quantum Physics, Particle Physics.
𝑐2𝑡′2 − 𝑐2𝑡2 + 𝑥2 On substituting the expression of 𝑡′ from sub-section ‘A’ above, one gets 𝑥′2 = 𝑐2 𝑡2 [1 / (1−𝛽2) −1] + 𝑥2 = 𝑐2𝑡2𝛽2 / (1−𝛽2) + 𝑥2 Therefore, the expression for length in the Earth’s frame becomes as follows. 𝑥′ = √[𝑐2𝑡2𝛽2 / (1−𝛽2) + 𝑥2] On changing the units of 𝑐 in a more