Planck mass

The modified Planck-Einstein relation – see the previous post – shows “a gleam” of the structure of the quantumfields from which the phenomena in the universe emerge. Not like a geometric concept, but sketchily with the help of simple algebraic descriptions. However, the new constants  – standard length (λ) and standard time (t) – will limit the potential concepts of the exact structure of the quantumfields. Albeit these constants are primary related to the properties of electromagnetic waves.

Anyway, one property of the all-inclusive structure of the quantumfields is unequivocally: the structure itself must be in rest in relation to the phenomena because there is no argument to separate the structure from space itself (see the image below: schematic representation of a spacial structure with standard length λ).

figure 1

The conclusion that all the quanta transfer in the universe is conserved, is really significant because in daily reality we are not aware of this constant in space and time. If we want to make a concept of this constant in daily reality we have to imagine that every identical volume in the universe transfers the same amount of quanta during the same time. It doesn't matter where this volume exist: in empty space, inside a black hole, inside the sun, etc.

Anyway, this constant is nothing else than a manifestation of the mechanism that is responsible for the main law of physics: the conservation of energy. Moreover, it explains the causation behind the constant speed of light (c) in space that is independent from the velocity of the source from which the light emerges, because length, time and velocity are constants (in relation to quanta).

Nevertheless, the relation between the conservation of single quanta transfer in space and the phenomena that represent more concentrated quanta – e.g. particles – is not clarified.
In other words: "What about mass?"

Einstein's equation E = m c2 describes the equivalence between energy and mass in a special way. Because the equation doesn’t describe the energy contents of the local structure of the distinct quantumfields, it describes the energy that is needed to transform mass into electromagnetic radiation and visa verse (see the image below).

figure 2

Nevertheless, mass (m) must be an integer too, because mass is a concentration of quanta. The annihilation of a proton and an anti-proton results in high-energy electromagnetic waves (photons). So mass is the sum of a local amount of quanta: n multiplied by h (Planck’s constant). So m = n h.

[Be awere that there is a difference between configuration and mutual influence. Phenomenological physics is about the mutual influences of the phenomena. In this post it is about the configuration of quanta.]

All the elements tessellate space, so one property of the elements must be volume. A field in space cannot have a structure without internal building blocks that are known by their boundaries. So every element has a surface area too. Now it is only a small step to investigate the type of property that represents Planck’s constant: variable or invariant.

Isaac Newton has done this task for us because he has described the mutual influence of 2 bodies in space by the force of gravity. The altering influence has to do with the four square of the distance and not with the cube of the distance.

Conclusion: the surface area of every element is variable and the volume is invariant.

In other words: Planck's equation E = v h describes the invariant property of every element too, so h is part of the cubic of λ (standard length). An amount of topological transformation in relation to the local structure of the quantumfield.

We can write m = n h, where n describes the amount of transformation by h within a number of elements that form the boundary of the mass. So n is the sum of the transformations of the involved elements (at that moment).

Therefore, we can conclude that the topological invariant part of the constant of Planck (h) has mass. But it is the smallest mass in the universe and the velocity of “Planck's particle” is a constant, the speed of light.

So every phenomenon in the universe – and "empty" space itself – has mass and the mass is h or a multiple of h. However, we don't express mass with the help of the energy of Planck's constant h because of the empirical relation (E = m c2).

Next chapter: "Coulomb force"