We now know that the zero point energy has a nonzero value. However, can we distinguish between the relativistic and quantum states of energy @ zero point?
What do you mean by relativistic energy? Relativity the energy is just a component of the tensor energy-momentum, and therefore is not conserved as an individual quantity. In low energy states, as you seem to ask, this energy can be interpreted as the classical (Galilean one).
By zero point energy, I suppose that you are thinking in the fundamental state. In such state you don't need to distinguish concepts as you name because they don't exist just by definition, as I have said previously for the relativistic one. By the way, relativity and quantum mechanics are just parts of the Dirac model where you have spinors for the associated states.
You don't need to read any text of physics for looking for the solution of your question because it is based in wrong concepts. The best is that you take a course of quantum physics and relativity.
Thank you with your comments and keen observations pointing to Dirac model. Presently I have been modeling on the basis of Helmholtz Theorem that appears through my project: "TOWARDS GRAND UNIFIED THEORY OF EVERYTHING......". My findings are along especially what you have noted towards the last paragraph.
Hope to have conference internationally applying global knowledge.
That is a great question. Grand unified theory of everything likely will provide understanding and know-how of micro and macro communication operational information transport algorithms. Knowledge of precise quantification will help in engineering not only of terrestrial, but also of extra terrestrial signal & field matter for configuring sensors & actuators, vehicular, and network systems & humans going light years onto the future.
Grant Unified Theory of Everthing is a theory of everything excluding consciousness. Periodic quantum gravity and cosmology is a theory of everything including consciousness. The non-zero value of the zero point energy is related to our understanding of particle parameters at the present epoch. The following quantum gravity theory proposes that at Planck epoch the particle anti-particle pairs collapse to a state of zero energy and thus become perfectly motionless.
Thank you with your article. Question of the situation at zero point is quite complex.
Mathematically, I have derived the conditions at zero point & microblackhole, per my working paper articles within this forum. It conforms to understanding that Unruh effect, Inflation theory, The zero point energy, & the zero point field all have surmised. There are reasons why this is the case.
You are quite correct about motionlessness at sub_infra Planck level. In fact, mathematically I have shown that rotational energy will go to zero at zero point; only gradient fields exist - realistically it will be a virtual effect of emanation of wave-like phenomena zero point exhibits.
Electromagnetic waves won't exist at below the Planck level. They will get split up onto electric fields & magnetic fields separately. With Gauss's theorem getting modified, perhaps only magnetic fields exist per mono-pole behavior that scientists have suggested. Presently we are not linking it to dark matter or dark energy considerations.However, it is highly probable that it may be related to these once we establish the quantum relativity aspects.
We will have to continue these debates as well as physics discussions, hopefully in a global world physics conference that I have proposed per preceding discussions along with other physicists & scientists.