► From the relation
V =
√(G M/λ) =
λplanck
/ Tm
we can observe the speed
V that results for each particle (and it is
faster when is more
its mass, until maximum c for mass Μplanck)
this speed results with the stable length λplanck
but in different time/period Τ.
An example.
For mass of one electron is results :
V = √G M /λ →
(6,6725 ×10^{11} ) × (9,10938 ×10^{31} ) / 0,24263 ×10^{11} = 250,5145 ×10^{31} → √25,05145 ×10^{30} = 5,0051 ×10^{15} m/sec
The same speed result from the relation V = λplanck
/ Tm
→
0,40508 ×10^{34} / 0,809329 ×10^{20} =
5,0051 ×10^{15} m/sec
► When, however, we put the length λ
witch we find from the
relations λ = h / M c = c / fe
= 0,24263 ×10^{11} m
then the speed results the maximum c
for all particles always, independently from their mass. That is to say λe
/ Te = c
Even a person that is not a physicist can be to observe a lot of relations and to
advance in order to correlate them with all combinations. The physical constants c, h and G are connected between them and appeared in sub atomic world with
same decisive role. The gravitational force (that is expressed from the constant G and was considered that is the weaker force) is required in order to the known
numbers of physics are result. The constant G is appears as a decisive phenomenon such as is decisive the phenomena of acceleration/deceleration ±a
and speed V. With an offhand mathematical investigation, somebody can be observe, that the constants c, h and G are connected obligatorily from each
other and that they are presented as result by such changes, in according with certain insuperable and immutable limits.
The dimensional content of the constant G (that reflects a regular rate in change of speed in function
with the gravitational force and distance) :
Length^{3} / Mass x
Time^{2}  or in units m^{3}
/ kg sec^{2}
With what length l, what speed V^{2} or what acceleration
±a, the gravitational constant G results according to the previous "fracture " of the constant G ?
For facilitation in the expression we will take for sample the data of an electron.
Answer: If we take like length
(l) the length λ (compton) = h / M c
then
V^{2} = G M / λM
For example: V^{2}
= G 9,10938 ×10^{31} / 2,4263 ×10^{12} = 25,0514 ×10^{30} m^{2}/sec^{2}
G =
λ V^{2} / M = 2,4263 ×10^{12}
× 25,0514 ×10^{30} / 9,10938 ×10^{31}
If we take acceleration a = c^{2} / λ = λ
f^{2} then the length l^{2}
it must length λ (compton) of
Mpl Planck's mass, that is to say λpl =
h / Mpl c = 0,40508 ×10^{34} m.
For example: a = c^{2} /
2,4263 ×10^{12} = 3,7042 x10^{28}
G = ae
λpl^{2}
/ Me = 3,7042 ×10^{28} × 0,164089 ×10^{68}
/ 9,10938 ×10^{31}
ή G =
λpl
c^{2} / Mpl = 0,40508 ×10^{34} × c^{2}
/ 5,45624 ×10^{8}
applied the relation
ae
λpl^{2}
/ Me = λpl
c^{2} / Mpl
Finally,
in order to the gravitational constant G remains
(same) in the Newtonian
formulas, when the Newtonian formulas are applied in microscopic dimensions and without are
violated the other constants h
and c, it should the sizes change accordingly with the following formulas.
<•> A minimum length λ_{pl} = h/M_{pl}
c = 0,40508 ×10^{34} m or correspondingly
a
maximum quantity M_{pl} = 5,45624 ×10^{8}
kg
are hided back of all
relations in that appeared the gravitational constant G
G = 6,6725·10^{11} m^{3}
/kg·s^{2}
These relations claim the following relations :
All the above relations and multitude of other relations
are need and
lead to the immediately previous simple linear relation of Evangelos Karamicha.
This physical relation, thus as it was formulated with the simplest mathematic
relation is important in the presentation here, and not the numbers and relations, that are acquaintances from their separate
use.
From the above relations, we can see that the maximum mass Mplanck
results for highest speed c and, according to the equations, when the speed is c then the
length λ is minimal. If we search more, then we will find that the previous
relations do not
conflict with the
famous
Einstein's equation for the
relation between mass with speed
[Μ = mo
/ √1  (v^{2}/c^{2})], but on the contrary they correct this equation, inserting minimal and maximum limits in the change of speed and mass.
However, where is found the socalled Planck's
mass [Mpl
=√(h c /G) =
5,45624 ×10^{8} kg] that results theoretically since three physical constants c, h and G?
Is it a quantity of mass that exists really? The investigation for the answer to this question reveals the close relation between phenomenon of mass with energy of electromagnetic waves
and the change in their own motion…
