The Lorentz Factor
The Lorentz factor was derived in the 1890s by Joseph Larmor and is
named after mathematician and physicist Hendrik Lorentz. In 1905 Albert
Einstein applied it in Special Relativity[2]
to calculate the degree of time dilation, length contraction and
relativistic mass of a moving object. It's general form is:
g = 1 / sqrt(1 - v2 / c2)
It is the "other half" of the e=mc2 equation we
all know. It tells us how much of e=mc2. The factor is
often referred to as gamma.
A typical use is:

Equation 1: Relativistic Kinetic Energy
Known Problems
(a) The equation is well known to require the square root of a negative
number for v > c. This can be compensated for by rotating the point of
view or by multiplying by i, the imaginary square root of -1.
Whether any of these methods of compensating actually match the physical
universe is as yet unproven.
(b) There is another limit in the Lorentz Factor equation that is not
widely reported. This limit comes from (1- v2 / c2)
and means that it is useful up to, but not including, v=c.
Values for v >= c (at or beyond the speed of light) are out
of scope of the equation. Any interpretations which predict infinities
for v=c should be regarded as unreliable.
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