TITLE:
Velocity Addition Demonstrated from the Conservation of Linear Momenta, an Alternative Expression
AUTHORS:
Olivier Serret
KEYWORDS:
Velocity Addition, Variable Time, Variable Inertial Mass, Relativity, Light Celerity, Impulse, Linear Momentum, Kinetic Energy, Fizeau’s Experiment
JOURNAL NAME:
Journal of Modern Physics,
Vol.6 No.6,
May
6,
2015
ABSTRACT: Is it possible to demonstrate the velocity
addition without using a variable time (as it is done in theory of relativity)?
The topic of this paper is to propose and demonstrate an alternative
expres-sion based on the conservation of linear momenta. The method proposed
here is to start from a physical object (and not from a mathematical point),
i.e. from an object with a mass. And the hy-pothesis is inertial mass to be
different from gravitational mass. Then, when impulses are added, we get an
expression of the velocity addition itself. When numerical predictions are
compared with experimental results, the differences are lower than the measures
uncertainty. And these numerical results are much close to those predicts by
the theory of relativity, nevertheless with a little difference at high
velocities. If this demonstration and this expression were validated, it would
allow giving an alternative explanation to some experiments and nature
observations as Doppler Effect on light celerity. But first, it would be
necessary to get from laboratories more precise experimental results, in order
to validate or not this hypothesis of the sum of linear momenta with a Variable
Inertial Mass.