Relativity

Relativistic mass in motion

Alpha decay release photon and a reduced mass that travels at speed close to speed of visible light

	Symbol	Mathematical formula
Speed	${\displaystyle v}$	${\displaystyle {\sqrt {1-{\frac {v^{2}}{C^{2}}}}}}$
Mass	${\displaystyle m}$	${\displaystyle m=m_{o}(v-1)}$
Moment	${\displaystyle p}$	${\displaystyle mv}$
Energy	${\displaystyle E}$	${\displaystyle pv}$

Massless quanta in motion

Quantum radiation from any radiation source

	Symbol	Mathematical formula
Speed	${\displaystyle v}$	${\displaystyle C=\lambda f}$
Energy	${\displaystyle E}$	${\displaystyle pv=pC=p\lambda f=hf}$
Quanta	${\displaystyle h}$	${\displaystyle h=p\lambda }$
Moment	${\displaystyle p}$	${\displaystyle {\frac {h}{\lambda }}}$
Wave length	${\displaystyle \lambda }$	${\displaystyle {\frac {C}{f}}={\frac {h}{p}}}$

Mass change

At speed relative (close)to speed of visible light

${\displaystyle v=\gamma ={\sqrt {1-{\frac {v^{2}}{C^{2}}}}}}$

Mass of object changes into relativistic mass M equal to the product of rest mass multiply by relatisvitic

${\displaystyle M=m_{o}(\gamma -1)}$

At speed equals to speed of visible light

${\displaystyle v=C=\lambda f}$

Mass of object changes into massless h

${\displaystyle h=p\lambda ={\frac {E}{C}}\lambda }$

Einstein's relativity theorem

Einstein recognized mass change with speed travels especially at speed close to or equal to speed of visible light which is not addressed by Newton's law of physics

Special relativity is a theory of the structure of spacetime. It was introduced in Einstein's 1905 paper "On the Electrodynamics of Moving Bodies" (for the contributions of many other physicists see History of special relativity). Special relativity is based on two postulates which are contradictory in classical mechanics:

1. The laws of physics are the same for all observers in uniform motion relative to one another (principle of relativity).
2. The speed of light in a vacuum is the same for all observers, regardless of their relative motion or of the motion of the light source.