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My model allows the mass of a particle to increase indefinitely.

my model states that an infinite space gets copied (compactified) into a finite Riemann sphere, so is it still capable of encoding infinite mass?

The second time vector

Rest mass is connected to General Relativity, while relativistic mass is connected to Special Relativity.

My model assumes particles are made out of space points and left-out space points. Since left-out space points cannot become infinitely dense, I think particles cannot become infinitely massive: since the mass is encoded in a region of left-out space points.

You do not have a scientific model, you have an idea that is based on misunderstandings about science in general

Produce a criticism of my model then.

you can only acquire that by conversion of an infinite mass.

Given that m = m0/√(1-v2/c2), said model is entirely consistent with relativity and hence with all observations to date.

This requires the points encoding mass to go to infinite density inside the particle.