pith. sign in
def

lorentz_factor

definition
show as:
module
IndisputableMonolith.Physics.GammaRayBursts
domain
Physics
line
44 · github
papers citing
none yet

plain-language theorem explainer

The definition sets the Lorentz factor for a gamma-ray burst jet to the ratio of jet energy to baryon mass. Researchers modeling GRB jet dynamics in the Recognition Science framework cite it when establishing positivity of the boost. It is introduced as a direct noncomputable definition using real division.

Claim. The Lorentz factor is defined by the equation $E_{jet}/M_b$ for jet energy $E_{jet}$ and baryon mass $M_b$.

background

The module develops gamma-ray burst models from Recognition Science following the paper RS_Gamma_Ray_Bursts.tex. This definition supplies the basic kinematic ratio for jets without any imported lemmas. It precedes statements on positivity and energy ranges for long and short GRB classes.

proof idea

The definition is introduced directly as the quotient of the two real arguments. No lemmas or tactics are required.

why it matters

It supplies the expression used by the theorem lorentz_positive to prove positivity under positive energy and mass. The definition supports the GRB analysis in the Recognition Science paper and aligns with the framework's handling of physical quantities derived from the forcing chain.

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