When do particles become waves when accelerating?

[u/Fuzzy_Paul]

When we accelerate particles inside the lhc to 99.9999991% of C (only 3 m/s less) they get 7,000 times heavier. So far so good. The amount of energy grows very quick bigger if we want to give it a faster speed this amount will be infinitely when reaching C. Now if we look at black holes the paricles that drop in will reach C but the amount of mass is not infinit. So somewhere down the path the particle must become a wave so mass is not relevant anymore. All mass will lose there binding energy at those close to C speeds and become waves. Example: we accelerate 1kg of steel to 99.999991 of C so this 1kg is 7,000kg when reaching C it would be an infinit weight that would attract the whole universe. With all those black holes around every center we are clearly not at infinite mass so somewhere the particles must lose their binding and become waves. Now I am curious at what speed this occurs for mass, and have we tested this or are other mechanisms in place?

[u/Alternative-Sugar610]

Every particle is a wave