[jeffreyH (OP)]

Inertia and the Higgs field should have a very intimate connection. Due to relativity we have a hierarchy of velocities and the associated relativistic masses. This scale must have a reference point. Is this the Higgs field? I am happy to be corrected.

[Atomic-S]

hierarchy of velocities and the associated relativistic masses. This scale

I find your terminology unclear.

[jeffreyH (OP)]

Okay. The whole range of relativistic mass values for a particle form a gradient with a minimum (rest mass) and a maximum which is infinitesimally close to the speed of light. Does this function have the Higgs field as a fixed scale with which to measure it? I am NOT including any binding energy here so only electrons and quarks are considered.

[jeffreyH (OP)]

The reason I used the word hierarchy was because I was considering relativistic mass increase to happen in discrete steps like quanta.

[jeffreyH (OP)]

I will be posting a new hypothesis in new theories.

[Atomic-S]

The reason I used the word hierarchy was because I was considering relativistic mass increase to happen in discrete steps like quanta.

Discrete steps in the variation of mass will not occur unless the particle is confined to a limited amount of space, which limits it to discrete energy states. a free particle can have any kinetic energy and relativistic mass whatever, equal to or above its rest mass.

[jeffreyH (OP)]

That is an interesting perspective.