Objectives: The origin of various equations involving variation of
mass with velocity is discussed and a new exponential equation is derived. At
lower velocities, this equation and the Lorentz equation both give the same
results.
Background: The new theory of variability of the speed of light
implies that the speed of light was higher in the early universe. It supports
the exponential equation which allows superluminal velocity. The perception of
an increase in mass with velocity has been increasingly refined by several
scientists.
Methods: The various references right from the inception of the
concept of variation of mass with velocity are discussed. The basic common
point in various equations is that an invalid operation division by zero is
involved. Initially, such an equation was initiated by Thomson, and used by
following scientists. Thus aspects are theoretically discussed.
Findings: A newly derived equation is exponential in nature and is
interpreted in view of existing experimental observations. It does not involve
division by zero, hence never predicts that mass becomes infinite when the
velocity of a body, . Lorentz has given an equation for transverse mass , where
is an undetermined factor or coefficient differing from unity by the quantity
of the order . Lorentz's equation (relativistic mass) is experimentally
verified with reasonable accuracy up to velocity 0.75 c. Thus Lorentz's
equation is confirmed in a limited region. In LHC, the protons have energy and move with a velocity at about , at this
velocity the relativistic mass of the proton must be experimentally measured
and compared. Then it must be confirmed up to which extent Lorentz's equation
is obeyed. In the future, higher velocities are expected thus experimental
verification of equations may lead to interesting results. Further, this
equation can be applied in early cosmology.
Applications/Improvements: The exponential equation is the first
equation that provides an extension of the Lorentz equation in a conceptual and
mathematical way. It stresses superluminal velocities at some stages of the
formation of the universe. The exponential equation can be checked in
experiments in LHC which involve velocities tending to that of light and other
experiments.
Author(s)
Details
Ajay Sharma
Fundamental Physics Society, His Mercy Enclave, Post Box 107 GPO
Shimla - 171001, Himachal Pradesh, India.
Please see the book here:- https://doi.org/10.9734/bpi/crpps/v3/853
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