1) The universe according to the Hubble's constant
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!
1) The
version of the universe according to the Hubble's constant
Calculations with the astronomical constant H had not revealed the connection of astronomical limits to processes in the
structure of matter. Here, by interpreting matter and particles as oscillations of energy in a shared quantity - which exists as dynamic space - we
have successfully introduced minimum and maximum limits for physical processes in the structure of an atom. We could and saw that the astronomical
constant H is indeed associated with a velocity rate (6.809946 ×10^-10 m/s^2), which is close to an average rate and rates we calculated
based on the older physical constants (c,h,G).
The constant H ≈ 70.1km/s /Mpc is taken into account not only out of respect for global research, but mainly because we
investigated this pseudo-expansion rate (H=70.1km/s /3.086 ×10^19 km = 2.271553 ×10^-18 (m/s) /m) and we saw that this rate gives a low
velocity, approaching the minimum velocity limit -Vmin ≈ 10^-34 m/s at a microscopic distance around the medium length λ0=1.101998 ×10^-13 m
according to the atomic limits (min-max) introduced. Simple calculations with the astronomical constant H give a Universe with the smallest magnitudes of total time, radius
and mass. Below is a simplified exposition (≈) for the limits of the Universe according to the increasing speed given by the constant H.
This estimate according to the presented cosmological interpretation gives the smallest possible Universe.
The first estimate according to the Hubble constant ≈70.1 km/s /Mpc and the velocity limit c:
• Time interval T(H) = 4.402282 ×10^17 s ( =13.949989 ×10^9 years = 4.402282 ×10^17 s of light)
• Maximum radius length R(H) = 1.319768 ×10^26 m ( = distance of 4.402282 ×10^17 s of light)
• Arc length for 1º degree (R·2·π·1º/360º) = 2.303428 ×10^25 m ≈ 74.641210 Mpc
• Rate of deceleration -a= (according to c·V/D =c^2/Duni = c/Tuni) of the maximum speed c : 6.80993 ×10^-10 m/s^2 (*expansion
of space is for other researchers)
• The velocity at the distance of 1Mpc = 3,086 ×10^22 m according to V(D)=a·D/c: 7.01 ×10^4 m/s / Mpc
• The equivalent mass of the Universe as it corresponds according to the relations:
Muni = c^2·R(H) / G = c · R(1ls) · R(H) / G = T(H)·√(h·fpl^2·c/G) = M(1ls) · T(H) = Muni·s for universal space radius of length
R(H) →
(2.997924 ×10^8)^2 · 1.319768 ×10^26 /G = 1.777666 ×10^53 kg
• The total mass as it corresponds according to the relation h·fmax^2 ·T(H) /c^2 for the whole time (for T(H) = 4.402282 ×10^17
s) is: Muni = 1.777662 ×10^53 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(H):
2.876652 ×10^49 kg.
• The volume of three-dimensional global space: Vglobal = 4·pi·(RH)^3 /3 ≈9.63 ×10^78 m^3 (for a radius of length R(H)=1.319768
×10^26 m).
• The average free space density Muni / Vglobal ≈ 1.84 ×10^-26 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) × 9.63 ×10^78 m^3 = 1.931435 ×10^50 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 = 4.4 ×10^17
• The volume for a cone with base radius r=1 light second and for height R the maximum radius: (d =c/H = 1.319768 ×10^26 m) is:
Vcone = (π·r^2·heightR) /3 = 1.242130 ×10^43 m^3.
• The ratio of this conical volume to the global volume of universal space Vglobal is: 9.63 ×10^78 m^3 / 1.242130 ×10^43 m^3 =
7.7529 ×10^35.
7.7529 ×10^35 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 space binding radius according to -R = √(G·M/a0)=√(g·R^2/a0) for a galactic mass ≈2.27 ×10^42 kg (where a0=1.101998 ×10
^-13 m/s^2) is: 3.707377 ×10^22 m.
• The cone volume based on a binding radius -R = 3.707377 ×10^22 m and height R(H)= 1.319768 ×10^26 m is :
Vcone = (π·r^2·heightR) /3 = 1.899587 ×10^71 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: 9.63 ×10^78 m^3 / 1.899587 ×10^71 m^3 =
5.069523 ×10^7.
• The volume of sphere with the radius of 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 to global volume: 9.63 ×10^78 m^3 / 1.6014322 ×10^58 m^3 = 6.013367 ×10^20.
• The ratio of the total mass 1.777666 ×10^53 kg to the equilibrium mass M0 = √(Mmin·Mpl) = h·f0 / c^2 = 2.0056443 ×10^-29
kg/m^3 is: 8. 863316 ×10^81
• Ratio of the maximum radius R(H) = 1.319768 ×10^26 m to the average length λ0 = 1.101998 ×10^-13 m/s: 1.1976137 ×10^39
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.
The astronomical sizes >>>