Lorentz factor

The middle column shows the corresponding Lorentz factor, the final is the reciprocal.

Actually, the Lorentz factor becomes imaginary, not merely infinite or even negative.

This is because all of those relations involve the Lorentz factor:

Or, similarly, in the limit where the Lorentz factor is very large ().

The two forces differ by the Lorentz factor γ.

The Lorentz factor equation can also be inverted to yield:

Any expression which involves v, like the Lorentz factor, can be rewritten using β instead.

This provided a new way of measuring the Lorentz factor of the relativistic particles.

The relativistic mass simplifies the expressions in this context as it removes extra Lorentz factors.

The intensity of radiation was logarithmically proportional to the Lorentz factor of the particle.

The Lorentz factor identifies with :

This is the classical Doppler effect multiplied by the ratio of the receiver and source Lorentz factors.

The Lorentz factor is defined as:

The Lorentz factor has a Maclaurin series of:

In a frame of reference in which the clock is not at rest, the clock runs more slowly, as expressed by the Lorentz factor.

For particles such as neutrinos, whose γ (Lorentz factor) are usually above 10 ( very close to c), the approximation is essentially exact.

According to this law all objects physically contract by along the line of motion (originally thought to be relative to the aether), being the Lorentz factor.

In such a frame the ratio of the Lorentz factors is always 1, and all Doppler shifts appear to be classical in origin.

The effects of special relativity are based on a quantity known as the Lorentz factor, defined as where v is the speed of the particle.

This implies that the radio-emitting plasma contains, at least, electrons with relativistic speeds (Lorentz factors of 10) and magnetic fields.

This means that spacing between charges has reduced by the Lorentz factor with respect to the lab frame spacing, l:

The Lorentz factor or Lorentz term is an expression which appears in several equations in special relativity.

The Lorentz factor has a deeper significance and origin, and is used in terms of proper time and coordinate time with four-vectors.

The strategy was to compare observed Doppler shifts with what was predicted by classical theory, and look for a Lorentz factor correction.

Time dilation by the Lorentz factor was predicted by Joseph Larmor (1897), at least for electrons orbiting a nucleus.