Energy: Discrete or Continuous

[zlander79]

First let me pose the assumptions that I am making (because this is not something I am an expert in):

1.) Energy and Mass are equivalent
2.) Quantum mechanics discretizes just about everything, or that a discrete element can be found for everything.
3.) Mass is discrete via the Higgs Boson
4.) Assume the Higgs Boson exists with all proposed qualities.

Then:
1.) Would there exist a minimum mass for mass carrying particles since the smallest mass you can have is that created by a higgs boson?

2.) Because there exists a minimum mass for mass carrying particles, you would have a minimum 'energy' (not really sure how to correctly term this)?

3.) Wouldn't there then exist a fixed ratio between energy an higgs Bosons?

4.) Would energy then be a descretizable element?

Again I really don't know a great deal but in general its interesting to me if energy is discrete or not.

 

[mathman]

Higgs Bosons are supposed to explain mass of particles. Photons are massless, so they don't have any direct connection with Higgs Bosons.