The summary of the article mentions that, in the mass' frame of reference, relativistic mass is the same as rest mass:
> As seen from the center of momentum frame, the relativistic mass is also the invariant [rest] mass [...]
Actually, the whole idea of relativistic mass is misleading to intuition. It makes more sense to think of relativistic energy. This is mentioned near the end of the article:
> Many contemporary authors such as Taylor and Wheeler avoid using the concept of relativistic mass altogether:
>
> > "The concept of "relativistic mass" is subject to misunderstanding. That's why we don't use it. First, it applies the name mass - belonging to the magnitude of a 4-vector - to a very different concept, the time component of a 4-vector. Second, it makes increase of energy of an object with velocity or momentum appear to be connected with some change in internal structure of the object. In reality, the increase of energy with velocity originates not in the object but in the geometric properties of spacetime itself."[6]
Remember: the laws of physics are invariant with respect to absolute velocity. If you add 5 m/s along some direction to all velocities, all the same interactions will occur. Relativity does not break this invariant.
The summary of the article mentions that, in the mass' frame of reference, relativistic mass is the same as rest mass:
> As seen from the center of momentum frame, the relativistic mass is also the invariant [rest] mass [...]
Actually, the whole idea of relativistic mass is misleading to intuition. It makes more sense to think of relativistic energy. This is mentioned near the end of the article:
> Many contemporary authors such as Taylor and Wheeler avoid using the concept of relativistic mass altogether: > > > "The concept of "relativistic mass" is subject to misunderstanding. That's why we don't use it. First, it applies the name mass - belonging to the magnitude of a 4-vector - to a very different concept, the time component of a 4-vector. Second, it makes increase of energy of an object with velocity or momentum appear to be connected with some change in internal structure of the object. In reality, the increase of energy with velocity originates not in the object but in the geometric properties of spacetime itself."[6]
Remember: the laws of physics are invariant with respect to absolute velocity. If you add 5 m/s along some direction to all velocities, all the same interactions will occur. Relativity does not break this invariant.