not really , Bill S.
I can agree that as a particles velocity increases the particles inertia would also increase along with its momentum.
so to accelerate the particle to a higher velocity you must add more force
for the acceleration.
you must also keep adding force to the containment field to maintain acceleration when using a circular accelerator because of the increased inertia , angular acceleration of the particle (or the centrifugal force).
a linear accelerator containment field should not require any additional force added because of added inertia.
I have a silly question for you.
why does science insist that nothing can travel faster than the speed at which light travels in a vacuum , when science does not have any resources that could propel anything faster than the speed at which light travels in a vacuum?
yet there sits the cesium experiment !