How does E = mc2 work at Planck level

We do not need to go to a faraway land only to get to the frontier of the material world we live in. We are indebted to Planck (1900) who enabled us to discover this frontier beyond which nothing exists but energy. Everybody can reach this boundary just right from where he or she stands on, going deep inward into the center of micro-realm, to the Planck level at the distance of 10^-33 cm or period of 10^-44 second below which neither space nor time has any meaning.

Planck himself was not aware of the broader physical meaning of his finding. In fact, we can derive those values from his constant, h = 6.6 x 10^-34 joule-seconds, the measure of a unit of action which is a little bit weird and uncommon. So, why then we are facing such an odd unit? What Planck had discovered was not merely a measure of a unit of action which is an abstract thing but the real size of four-dimensional discrete energy (quantum). Energy is like water phase consisting of discrete four-dimensional “molecules”, the smallest constituent of the underlying four-dimensional sea of energy.

"Shortly" after Planck momentous discovery, Minkowski (1908) revealed the four-dimensionality of the macro-world. The unification of these theories would lead us to conclude that the four-dimensionality of the spacetime is just the manifestation of the degree of freedom of energy which itself is four-dimensional. We have, then, a very consistent geometrical pattern of the four-dimensional world, both microscopically and macroscopically, from the tiniest thing like four-dimensional quanta to the largest ones such as the four-dimensional spacetime as a whole. 

But still, nobody grasps the important implication of this quanta’s four-dimensionality. The fundamental particles, the smallest building blocks of the universe, which are the derivative of these quanta as dictated by the energy equation E= mc² should be also four-dimensional. Being discrete both spatially and temporarily, this little stuff is short-living.  The persistence of everything we see around us is just the appearance of the underlying perpetual creation and annihilation of fundamental ephemeral things, an action that takes place at the Planck level. 

As the macro-world is made of these ephemeral kinds of stuff, the same thing happens in the macro-realm. At any instant, our physical space appears and disappears in the same rhythm with what happens in the micro-realm.   How could this happen? The notions of creation and annihilation are just the terms we use to describe the transformations of energy into matter and vice versa.  Down to the Planck level the energy equation, E= mc² is highly reversible in which matter and energy flashing to and fro at the pace equal to the speed of light.

The appearance and disappearance of the whole thing from the space as a whole down to the minuscule particles at the deepest level of reality give us a feeling that something passes by. And this something is what we call time.   The past, present, and future are just a series of continuous process of formation and dissolution just like a single water wave moves across the surface of the water; the peak of the wave is the now, the flat horizon behind it is the past and ahead is the future. This is the true nature of time that people are searching for a long time. Had everything persisted there would be no time at all.

Now what we perceive as one and the same persistent particle is, in fact, a series of similar but different particles appear and disappear rapidly at the speed of light. The constant c is nothing but the rate of the perpetual creation and annihilation of the quanta, the building blocks of the universe. Among this process what we can directly measure is the rate of the perpetual creation and annihilation of the photon which is equal to the speed of light. This is the underlying fact why nothing can move faster than the light, otherwise, there would be something running ahead of its very own existence.

How this creation and annihilation physically take place? The relativity energy equation E² = m²c⁴ + p²c² implicitly shows that the energy inherently consists of the opposites: the positive and negative energies. As they are repulsive they both tend to segregate separating from each other. At Planck level, the interplays of these two (the exchange of 4D-electric currents?) across the interface (thin 3D-surface) create quantum sparks (“quarks”), analogous to the sparks appear and disappear on our TV screen. These quantum sparks are what we perceive as fundamental particles perpetually appear and disappear at a gigantic 3D- TV screen -- our dear physical space.