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What is the centripetal velocity V_{g} of
the relation √ Gm / r in microcosm?
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 in this question reveals the close relation between phenomenon of mass with energy
of electromagnetic waves and the change in their
own motion…
The person who observed the mathematical equivalence between in the speed of light and increase of mass
up to the limit M_{pl}=5,45624
×10^{8}
kg did not stop his attempt. A lot of equations were revised in order to be conform with the result,
if mass increased with this limit. "Let's watch now, a recital of the logic, that as simple it seems, so serious are the
consequences. (...) Some thoughts that normally would have been done a century ago but better late than never" as he has
wrote. Because the existence of this limit does not allow in particles that have uneven mass to increase their mass by the same
amount, even when they "move" with equal speed, the author properly calls its own corrected theory " scalable relativity
". Particles themselves are such as are because already have a speed (inherent, builtin) and is different for each
one. They do not start moving at the same speed or from a stationary condition, so it can to increase equally. "Einstein
accepted as maximum speed limit on C but not justified why nature sets this restriction only in the speed. He did not explain
why nature let the other sizes freely, can be varied to infinity or zero. This is a shortcoming in his theory" as correctly
has been noticed.
This mathematical observation was the reason for trying to be detected mathematical
relations in physical explanation for a complete universe and always this same within a maximum period of time. One of the goals
in my own effort was to find out, what is this speed
V_{g} that results of the relation √(GM/λ). Because of the interpretation of a
complete and stabilized universe (with all possible ways), they were logical conclusions: First of all the existence of limits on sizes of time, length, energy, mass and speed (due the central view, that was postulated
the stability of an integrated universe in the limits of a maximum period of time). Some of the first and main thoughts of this
rational explanation through the most general concepts, were the following:
· A relation
of the phenomenon to create particles with the decrease
in the balanced energy of the free space.
· A relation of (centralized) energy in the finite space with gravitational force and curvature.
· A relation between reduction of most high speed (in energy of free space) with
presence of matter as bodies and particles
With such a view for nature, it is logical to we think and search for a relation
in the reduction ratio of the maximum speed with that are created particles and structure of matter, by the "simultaneous"
energy of the free space. The relation between the spatial energy that is concentrated with presence of mass, also would had a
rate. What relation could had the speed √(GM/λ) with
the above phenomena? What can express this centripetal
velocity by the relation √(GM/λ)
in subatomic microcosm? These were some of the initial thinking when I learned this simple relation.
Mathematically and according to formulas of physics, the units are correct and
correct is also the observation for the limit to increase in mass if √(GM/λ)=c. But arise many questions that have already
answered in physics and their answers do not match with the known reality, so as that described by the formulas of this new
mathematical logic. In contrast, there are questions that remain unanswered by this relation between speed and mass. For
example, what does mean a gravitational speed? When talking about a speed, then we can describe and say for a localized body,
which moves unto a point from a path, and certain other details. This speed can be considered as a property of particles? Does
this motion of particles is "interior" and in this case, how will is defined their speed? Does have a meaning, if this speed is
in a straight or circular moving? How is connected this (gravitational) speed with other speeds that have observed in the microscopic
structure of matter? Where is the maximum mass of the three physical constants [√(h c /G] in which is assigned a motion at the
speed of light? How the number of particles in a atom is related with this mass Planck? What are the conditions that ensure a
constant speed for certain permanent particles, as are the electrons? Do applied forces in particles so as have their
speed? How does maintained a uniformity in the structure of matter in a huge quantity, which is distributed throughout the
Universe? It has a meaning to talk about such a mass of the three physical constants (c, h, G), if this does not really exist in
nature and is only a theoretical necessity? It is known that the superior speed of light occurs with particles that are massless
(as photons). How does a relatively sizable mass of 10^{8} kg coincides with motion at speed of light? This last
logical question it should be the first that comes to mind.
These are some deadlocks questions that emerge since a distorted mechanistic view for
the universe and things. Arise when we think about the things as if were "made" of compacted pellets. The correct
mathematical formulation for the limit in the increase of mass/inertia when increasing the speed, must coincides with the
correct physical interpretation for the phenomena, and certainly not to conflicts with all that are already proven and are
unambiguous.
►
It should not we say and seek, how a mass increases with increasing speed in a "mass" that
already exists. Thus, we would leave the presence of mass as an unexplained phenomenon and separated from the general
phenomenon of motion. We must explain, how mass attains to is presented with stable existence (in particles and finally in
molecules), while in microscopic area it was a change in a move similar as electromagnetic waves. We must explain and to be
wondered, under what conditions it can grow as a "bottled" or "compressed" motion, as intuitively a physicist has told. One
of the greatest comebacks and promising discoveries in physics comes of this close relation between mass, electromagnetism
and gravity and all together with the common amount of energy of the "empty" space.
The speed
V_{g} that we find from the relation √(GM/λ)
associated with the three fundamental physical constants
h, c, G, through the relation that they have
between them and especially from their association
with mass
M_{planck}=√(hc/G)=5,45624
×10^{8} kg.
This velocity V_{g} shows correspondingly
less for smaller amounts of mass according to the
relation M_{pl} / M = C / V. After this observation and the introduction of a limit of a maximum amount of mass
corresponding to the maximum speed limit, the known relations of physics and all that are known on the structure of matter,
associated with this same speed. So as they connected with the three physical constants h, c, G. Many of these known relations
of physics apply in microcosm and in the world of astronomical bodies. Moreover, we know the fundamental relation between mass
and phenomena of electromagnetism (since hf/c^{2}
= M). This means, that the formulas used for
calculation of masses, gravitational force and mechanical
movements come together and are associated with
the formula used for electromagnetic phenomena.
With a quick application of some formulas and preliminary
calculations, we will see later, that some relations that apply to the heavenly bodies are applied with greater precision and
ease for particles. With
all these observations, it would be nonsense and
definitely indifference and cowardice, even for a
modern philosopher, not to look how all these phenomena
are linked and finally about the connection of formulas,
which are apply for the description or interpretation
on the structure of matter.
With a relaxed
investigate to understand what is the connection
of speed V_{g} (from the relation √(GM/r)
applied in microcosm) with other quantities and
sizes, which we know for particles quickly notice
some coincidences that guide research. When we collect
the sizes that related to the amount
M_{pl}=√(hc/G)=5,45624
×10^{8}
kg
we can observe
that the Compton's length
λ_{pl}
of this
maximum amount of mass (or energy respectively
Μ_{pl}·c^{2})
approaching the quantity of the constant h,
since
h/λ_{pl} =16,3574.
And indeed, the result has units of momentum and
shows that
h/λ_{pl} = Μ_{pl}·c.
A physicist can easily think of many cases and to
investigate for the possibility that there is a
minimum wavelength
λ_{min}
in nature,
approaching the amount of constant
h≈10^{34}
and what
this entails.
But when
we take the amount of constant h experimentally
and straight as if it coincides with a minimum wavelength
λ_{min}
and then
we compute the other sizes (with the known relations),
then we perceive more coincidences. Approaching
the minimum min and maximum limits max between the
two cases arousing suspicions, while the amount
of mass / inertia
M_{pl}=√(hc/G),
from an imaginary mass and a theoretical prediction
with any limitations arising, this theoretical mass
betrays physical reality. The imaginary mass of
the three constants
M_{pl}=√(hc/G) it disclosed
with mathematics as phenomenon caused by electromagnetic
energy hf with the speed of light c and inseparable from the phenomenon of gravitational field.
The three universal constants h, c, G do not
occur only in the quantity of an imaginary mass.
They meet with the observation, that the minimum
wavelength
λ_{min}
almost
coincides with the constant h, which is not only
a theoretical quantity and all electromagnetic
phenomena are connected with this constant, theoretically
and technically. The minimum wavelength
λ_{min}
almost coincides
with the constant h and therefore with the quantity
h/2p which is essential for the structure of matter
and regulates radii and lengths of orbits in the
structure of matter. Thus, all three universal constants
h, c, G, p also linked, just because the minimum
length
λ_{min}
almost coincides
with the extremely tiny amount of constant h.
* Attention to the decimal point. This is a different mark for many countries
M_{pl}
c^{2}
= Eplanck
Eplanck
/ h = 7,4008 ×10^{42}
Hz


c / hbar
=ωmax
→
ω / 2π
= fmax
= 0,452444 ×10^{42} Hz
→
h fmax
= Ec

M_{pl}
=√(hc /G)
=
5,456246 ×10^{8} kg
f_{pl}
= 7,4008 ×10^{42} Hz
T_{pl}
= 0,13512 ×10^{42} sec
E_{pl}
= 49,038293 ×10^{8} J
E_{min}
= h 1Hz =
6,62606 ×10^{34}
M_{min}
= h 1Hz/c^{2}
= 0,73725 ×10^{50}
kg
λ_{pl}
= c / fpl
= 0,405080 ×10^{34} m
a_{pl}
=
f_{pl}^{2}
λ_{pl}
= c^{2}
/λ_{pl}
= 22,186977 ×10^{50}
m/s^{2}


M_{c} = 0,3335641 ×10^{8}
kg = M_{pl}
/ 16,3574 = 1/c
f_{c}
= 0,452444 ×10^{42}
Hz
T_{c} = 2,210218 ×10^{42}
sec
E_{c} = 2,997924 ×10^{8}
(kg m^{2}
/s ?)
M_{min} = M_{c}/f_{c}
= 0,73725 ×10^{50}
kg/Hz
λ_{c} =
λ_{min}
= 6,62606 ×10^{34} m
a_{max}
=
f_{c}^{2}
λ_{c}
= c^{2}
/λ_{pl}
= 1,356391 ×10^{50} m/s^{2}

Mpl
/ Mc
►
This ratio 16,357 and the small relatively disparity between limits in the two cases is important and instructive
for the research, mainly for the following observation: With a small ratio, it do not change extremely the enormous
numbers and quantities (after the exhibitor
almost remains the itself), however
they change subversively the units and phenomena that we describe.

If the quantity
of maximum mass that results of the three global
constants h, c, G was not close to the quantity
10^{8} kg,
then these physical constants would be different
quantities and the minimum length
λ_{min}
could be
distant enough than the quantity h. In the latter
case, units and phenomena measuring units
would be clearly separated each one from other and
they do not changed for a small quantity, of infinite
numbers. The minimum length
λ_{min}
approaching
the quantity
h ≈ 10^{34} m
and this means, that a change in such a small quantity
(with 16.3574 times the length
λ_{pl}) change everything in physics and universe!
So simple, with a theoretical observation that can
do any good schoolboy, revealed yet the difficulty
to a multitude of microscopic phenomena and the structure of material elements are interpreted and the need of nature to be
quick in its creative processes, after such tiny changes should not deviate to a minimum,
so as not to lose the synchronization and creative
discussion of natural phenomena.
