2) The
most likely limits according to the constants c and G only
The most likely limits of the universe according to the rational interpretation of matter as oscillations of a shared energy quantity existing
as dynamic space. The limits of physical sizes.
Design your own universe and explore it! We have the first proportions and conclusions that explain the physical processes and provide us, so as to
explain the processes with higher accuracy and in full agreement with the observations in nature or the laboratory. Probably,
important findings of physics and astronomy will follow with more complex calculations and by linking these simple functions and
equations to the rest of physics. But more important was to find these first and more simple relationships and the rational
explanation of the natural processes that turned attention to such a quest, even with the most ridiculous mistakes that may be
found in this huge multi-theory. We will see how tiny sizes agree and work with astronomical sizes in simple calculations. You
will literally find out what matter says in space and how the space responds to matter, without misunderstanding!
2) The
estimation of the astronomical limits according to the constants c and G (without H). The "middle" Universe
Simple calculations using only a few universal physical constants such as the speed of light (c), the gravitational force (G)
and the elementary action (h) quickly showed that we can investigate the astronomical limits locked inside our home. Some physicists (of the 20th
century) played with such a simplistic calculation of astronomical limits, without having any explanation for the close relationship between the
physical forces. Some cosmologists have noticed numerical coincidences in calculated quantities for the astronomical world with certain quantities
measured for the atom of matter. Those who remember the coincidences were left with the question until now. We here have easily explained how the
physical forces are connected, when the building blocks are seen as oscillations of energy in a shared quantity that exists as dynamic space. This
brief explanation in a minimum number of words has already unified the universal space with the particles of matter. We have seen many of the
completely unexplained in the structure of matter, how they are connected with unknown processes, which are wave motions at extremely high rates. We
even saw the relationship of the electric charge with two forces of opposite direction from the function of the upper and lower limits of the sizes,
whose average value (F0 = 16.3574 N) is within the structure of the atom.
We have drawn many conclusions and are testing calculations for the limits of the physical world in agreement with physical
constants and in full agreement with the quantities that characterize microscopic processes in the structure of an atom. The connection of
astronomical magnitudes with atomic magnitudes is one of the greatest successes of the rational explanation of matter as oscillations of energy
on a shared quantity, which exists "deceptively" as dynamic space. We use physical constants in order to remain consistent with local measurements
and taught physics.
Below is a simplified record of limits (≈) calculated purely from only two physical constants without the astronomical constant
H. The constant G is clearly associated with astronomical bodies and an attractive force is "locked" into it, which is extremely weak. We
have explained the relationship of the constant G to the constants c and h and how this relationship is necessary and how the constant G appears
from microscopic processes. We have selectively seen in the function of magnitudes (M,E,f,λ,c,v,F and so on) how the magnitudes change when
calculated with the constant G of gravity and how they change when calculated with the constant h of electromagnetism for same mathematical result.
The maximum speed c must be reduced for the same result in the equations with constant G.
We have calculated a rate of increase of speed which comes from the constant G of gravity and for the force that appears
between two bodies of mass 1kg at a distance of 1m. The rate of increase in velocity derived from the gravitational constant G and the corresponding
rate of expansion of space per Mpc (6.8685 km/s / 3.086 ×10^19 km) are close to the known astronomical redshift rate per Mpc (70, 1 km/s / 3.086
×10^19 km), which research centers have calculated from observations of the most distant galaxies. According to the H rate, the redshift
velocity per meter 2.271553 ×10^-18 (m/s) /m = 70.1 km/s /3.086 ×10^19 km (Mpc). According to the rate a of gravity, the speed per meter 2.225706
×10^-19 (m/s) /m = 6.868530 km/s / 3.086 ×10^19 km. The two rates and corresponding speeds are approximated by a ratio: V(H) / V(G) = 10.206. The
average rate of increase in velocity (expansion) we calculated from Hubble's constant H(0) per meter distance could be the average rate of increase
in velocity coming out of the constant of gravity G. If the rate of the "expansion" of space were the rate of the gravitational force, then the G
constant would be 6.80993 ×10^-10 m^3/kg·s^2.
According to the gravitational force and the rate of acceleration of two 1kg masses at a distance of 1m and with the speed
limit c:
• Time interval Tuni = 4.492954 ×10^18 s ( =142.237312 ×10^9 years)
• Total straight length R(uni) = 1.34696 ×10^27 m (Distance of 4.492954 ×10^18 s of light)
• Arc length for 1º degree (R·2·π·1º/360º) = 2.350887 ×10^25 m ≈ 761.791 Mpc
• The rate of deceleration -a according to c·V/D =c^2/Duni = c/Tuni is: 6.6725 ×10^-11 m/s^2 at the distance of 1Mpc ≈ 3,086
×10^22 m.
• V(D)=a·D/c = D(1Mpc) / Tuni at the distance of 1Mpc ≈3.086 ·10^22 m: 6.868531 ×10^3 m/s. (The distance is D(V) = c·V/a)
• Total mass as it corresponds according to the relations Muni = c^2·R / G = c · R(1ls) · Runi / G = Tuni·√(h·fpl^2·c/G) =
Μ(1ls) · Tuni = Muni ·s for universal space radius of length Runi →
(2.997924 ×10^8)^2 · 1.34696 ×10^27 /G = 1.814229 ×10^54 kg
The equivalent mass of the Universe as it corresponds according to the relation h·fpl^2 ·Tuni /c^2 for the whole time (for Tuni
= 4.492955 ×10^18 s) is:
Muni = 1.814276 ×10^54 kg
• The equivalent mass according to the space binding radius -R = √(G·M/a0) → -M = -R^2·a0/G and for the total radius R(uni):
2.996413 ×10^51 kg.
• Volume of three-dimensional global space: Vglobal = 4·pi·(Runi)^3 /3 ≈1.02 ×10^82 m^3 (for a radius of length Runi = 1.346954
×10^27 m).
• Average free space density Muni / Vglobal ≈ 1.78 ×10^-28 kg/m^3
• Total mass as it corresponds if the average density of global space is 2.0056443 ×10^-29 kg/m^3 from M0 = √(Mmin·Mpl):
(2.0056443 ×10^-29 kg/m^3) × 1.02 ×10^82 m^3 = 2.045757 ×10^53 kg
• Total number of subsets of total mass distributed in global space for all time and according to the maximum mass of an
astronomical nucleus [M(1ls)=√(h·fpl^2 ·c / G) = h·fpl^2 / c^2 = Mmin·fpl / Tpl = h·f0^2 / V0^2]:
Muni /M1ls = 4.5 ×10^18
• The volume for a cone with base radius r=1 light second and for height R the maximum radius of space 1.34696 ×10^27 m is:
Vcone = (π·r^2·heightR) /3 = 1.267717 ×10^44 m^3.
• The ratio of this conical volume to the global volume of the global space Vglobal:
1.02 ×10^82 m^3 / 1.267717 ×10^44 m^3 = 8.045961 ×10^37.
8.046 ×10^37 cones could as subsets (astro-partitions) be attributed to the distribution of the astronomical world with a
corresponding number of astronomical cores in the conical bases of radius 1ls where are on the surface of the spherical volume Vglobal.
• The binding radius of space according to -R = √(G·M/a0)=√(g·R^2/a0) for a galactic mass ≈2.27 ×10^42 kg (with a0=1.101998 ×10
^-13 m/s^2) is: 3.707377 ×10^22 m.
• The volume of the cone based on the binding radius -R = 3.707377 ×10^22 m and height R(uni)= 1.34696 ×10^27 m is:
Vcone = (π·r^2·heightR) /3 = 1.938726 ×10^72 m^3. (A maximum volume for subdividing the total volume).
• The ratio of this conical volume to the global volume of the global space Vglobal:
1.02 ×10^82 m^3 / 1.938726 ×10^72 m^3 = 5.261187 ×10^9.
• Sphere volume from binding radius -R = 1.563652 ×10^19 m (for the space surrounding an astronomical nucleus of mass 4.038056
×10^35 kg):
4·pi·(-R)^3 /3 = 1.6014322 ×10^58 m^3.
• Ratio of global volume: 1.02 ×10^82 m^3 / 1.6014322 ×10^58 m^3 = 6.369299 ×10^23.
• Ratio of the total mass 1.814229 ×10^54 kg to the equilibrium mass M0 = √(Mmin·Mpl) = h·f0 / c^2 = 2.0056443 ×10^-29 kg/m^3:
9. 0456169 ×10^82.
• Ratio of maximum radius R(uni) = 1.34696 ×10^27 m to mean length λ0 = 1.101998 ×10^-13 m/s: 1.222289 ×10^40
* The time interval Tuni, the total radius length Runi, and the total mass Muni are larger in magnitude than the corresponding
magnitudes with the constant H:
10.206 [ie as long as are the velocities V(H) / V(G) and the rates -a(H) / -a(G)].
As you see, calculations according to the interpretation of matter as oscillations of energy in a shared quantity seen as space
could be run on a computer with all possible deviations of the mathematical limits and output the results for a Universe with all these deviations.
In the next post you will see another possible estimation without the constant H of the pseudo-expansion.
>>> Following is the third estimate: Astronomical limits calculated from the average velocity V0=√(Vmin·c) according to wave
processes in a shared quantity. Review and estimate of the "bigger" Universe (without the H of "expansion")
The astronomical sizes >>>