This suggests the existence of superluminal particles in Nature. As it is clear from the above equation, u c because m is positive or zero. Where, c is a constant arising out of integration and identified with the speed of light. In order to find the relation among M, m and u, equating (2) and (7), one gets (7) is just another form of (2) written in terms of M. Postulating the existence of a constant mass parameter, M, (2) becomes Still there is one more possibility of keeping mass as a constant and speed as a variable. By assuming the existence of a constant speed and keeping the mass as a variable, one arrives at the relativistic mass formula valid in the subluminal sector. Notice that in (2), energy depends upon speed and mass. Where, E is the well-known kinetic energy of a moving particle in the subluminal sector.
![superluminal definition superluminal definition](https://www.andersoninstitute.com/images/gain-assisted-superluminal-light-propogation-2.jpg)
Where, m0 is the integration constant identified with the rest-mass of a moving particle. Integrating the above equation, one obtains the well-known result, In order to find the relation among m, u and c, equating (2) and (3), one gets Equation (3) is just written in terms of c. If one assumes the existence of constant speed, c (speed of light), then the above equation becomesĮquations (2) and (3) are same. Where, p = mu is momentum, m is mass, u is velocity and t is time.įorce multiplied by displacement is work done given by It is possible to assume the existence of a constant mass parameter because Newtons definition of force and energy has the flexibility to do soĭERIVATION OF RELATIVISTIC MASS FORMULA IN A NEW WAY As it is well-known that force is rate of change of momentum, i.e., Similarly, assuming the existence of a constant mass parameter leads to a new relativistic mass formula valid in the superluminal sector.
![superluminal definition superluminal definition](https://i.pinimg.com/originals/7f/64/a3/7f64a3f24ad6c719496669a5200dd2ee.png)
The present paper is based on an observation that assuming the existence of a constant speed (speed of light) in Newtons definition of force and energy leads to the Einsteins relativistic mass formula and mass- energy relation valid in the subluminal sector.
![superluminal definition superluminal definition](https://slideplayer.com/slide/13794822/85/images/2/Why+Does+Physics+Should+Be+Interested+on+Superluminal+Phenomena.jpg)
There are various authors who have considered superluminal phenomena like tachyons, superluminal reference frames and generalized Lorentz transformations, etc. STR is so rigid that it does not admit superluminal particles though it can not exclude their existence. The correctness of special theory of relativity (STR) in subluminal sector is confirmed by innumerable experiments. In superluminal sector, particles travel with speeds greater than c. In subluminal sector, particles travel with speeds less than or equal to the speed of light, c. Key words: Subluminal, superluminal, special theory of relativityĬonsider the division of all Natural phenomena into two distinct sectors, i.e., subluminal and superluminal. Velammal Engineering College, Velammal Nagar, Ambattur-Redhills road, Chennai-66, Tamil Nadu, India.Ī simple proof for the existence of superluminal particles is given.