THE CIRCULAR MOTION AND THE FINITE FREE SPACE

 

LIKELY LIMITS OF THE SIMPLEST RELATIONS AND OBSERVATIONS

 

If the most minimum rate of acceleration amin is expressed by the constant G - that is fixed with masses M of one kilo where are attracted with force F when are found in distance 1m - then this rate amin in combination with the known limit of superior speed c us helps we advance in certain first calculations about the likely limits of the Universe. With the simplest conjecture that is based on two universal constants (c and G) finds following potential sizes of time and length (length of radius, diameter or perimetric) : 

 

 

SAMPLES

ΤUniverse = 4,492955 ×10¹⁸ sec 

SUniverse = 6,734769 ×10²⁶ m = 2,1823619 ×10⁴ Mpc (1st guesswork)

SUniverse = 1,346954 ×10²⁷ m = 4,364724 ×10⁴ Mpc  (2d guesswork)

SUniverse = 6,734769 ×10²⁶ m / 2π = 1,07187183 ×10²⁶ m = 3,473337 ×10³ Mpc  (3d guesswork)

SUniverse = 1,346954 ×10²⁷ m / 2π = 2,14374297 ×10²⁶ m = 6,946674 ×10³ Mpc  (4d guesswork)

 

Do not lose the continuity !

 

 

Attention! Translational errors are exist

* Attention to the decimal point. This is a different mark for many countries

 

Some thoughts of the investigation for mathematic formulation of the physical interpretation (on a complete Universe that appeared as free space). The aim was to become comprehensible: 1) The direct rela­tion of Hubble's constant (H) to the (balanced) energy of the " free " and finite space. 2) The close relation of Hubble's constant with the limit of a longest distance of the free space and 3) therefore the close relation of Hubble's constant to the structure of matter (since the explanation, that matter is created with oscillations of balanced energy of the physical space).

 

 

Hubble's Law : V=H d (the rate of "expansion")

The relative speed between of two galaxies (because the phenomenon about so-called expansion of the free space) is proportional to the distance d. The rate of speed initially had been found with higher speed and newly is calculated almost: Hubble constant =70,1km/sec/ per 1Mpc. In certain theories it forecasted that this value of speed was not always constant and it is changed in time.

The constant Η= 70,1 km / sec / Mpc (In each 1Mpc distance away, the speed is increased  70,1Km/sec)

1 Mpc= 10⁶ pc,

1pc= 3,2615 ly  = 3,0856778 ×10¹⁶ m  

1 Mpc = 3,086 ×10¹⁶ × 10⁶ = 3,086 × 10²² m

If the maximum speed of "expansion" is fixed at 299792 km/sec (v = c) then finds as largest distance dmax : 

 

d =c /H →

dmax = (2,99792 ×10⁵ km/s) / 70,1 = 4,276633 ×10³ Mpc = 4,276633 ×10⁹ pc  →

4,276633 × 10⁹ pc × 3,2615 ly = 13,9482 ×10⁹ ly

13,9482 × 10⁹ × 9,46073 × 10¹⁵ m = 1,31960518 ×10²⁶ m

4,276633 × 10⁹ pc × 3,086 ×10¹⁶ m = 1,319768 ×10²⁶ m

 

Conversely:

Hubble = c / d_max → c / 4,276633 ×10³ = 70,1km/sec / Mpc

• If the speed of removal is not same for the every Mpc distance, however always the limit for the maximum speed (c) exist and then a maximum distance dmax

H = V / d_Mpc = c / d_max

If the speed V for every Mpc is change, then we observe in second relation that only the average distance d will vary. 

 

► From the relation T = S / V = 1/f  we find a time interval. The distance in kilometers is for each Mpc = 3,086 ×10¹⁹ km. The speed of removal... 70,1 km for each Mpc away →

ΤH = 3,086 ×10¹⁹ / 70,1 = 4,402282 ×10¹⁷ sec 

The same time interval T we find from the relation T= Smax/Vmax →

ΤH = 1,3197 ×10²⁶ / 2,99792 ×10⁸ = 4,40205 ×10¹⁷ sec 

 

In this time interval Τ = 4,40205 ×10¹⁷ sec the removal Smax is the maximum with maximum speed c

 

We observe the relation :   S1Mpc / VHubble =  Smax / Vmax = T

 

If dmax = Smax  

The speed V=70,1 km/sec is result from the relation V= S/T →

VH = 3,086 ×10¹⁹ / 4,402282 ×10¹⁷ = 70,1 km/sec

While, if we take the maximum length Smax then we find the maximum speed c :

V= S/T →

VH = 1,3197 ×10²⁶ / 4,402282 ×10¹⁷ = c

 

► We find a time interval 4,492954 ×10¹⁸ sec in that a mass m=1kg needs until comes to the speed of light c with acceleration a= 6,6725 ×10^-11 m/sec² and in distance S=1,346954 ×10²⁷ m for light (or S=0,673477 ×10²⁷ m = 2,182362 ×10⁴ Mpc for the 1kg mass). What speed of "expansion" do we find for this mass per 1Mpc away ?

 

V = 3,086 ×10¹⁹ / 4,492954 ×10¹⁸ = 6,8685 km/sec

 

That is to say, if the Hubble's constant ≈ 6,8685 km/sec /Mpc then we find the known maximum distance :

dmax =c /H = 4,364744 ×10⁴ Mpc = 1,34696 ×10²⁷ m  (= c² / amin )

 

 

► The acceleration / deceleration ±a = 6,6725 ×10^-11 m/s² with which mass 1kg reached at the speed of light c or it was decreased by this speed, we can find from following relation : 

 

c VH / 1Mparsec → (2,99792 ×10⁵ km/s) (6,8685 km/s) / 3,086 ×10¹⁹ = 6,6725 ×10^-14 km/s²

c VH / 1Mparsec → (2,99792 ×10⁸ m/s) (6,8685 ×10³ m/s) / 3,086 ×10²² = 6,6725 ×10^-11 m/s²

 

From the speed of Hubble's constant = 70,1 km/sec we find :

c VH / 1Mparsec → (2,99792 ×10⁸ m/s) (7,01 ×10⁴ m/s) / 3,086 ×10²² = 6,80993 ×10^-10 m/s²

 

 

We observe the relation :   C VHubble / S1Mpc = Vmax Vmax / Smax = a

Vmax = C

 

► I will place in your mind something above of an astonishing idea, an explosive research: The Hubble's constant says to us about a speed V increased in each 1 Mpc distance away. What speed results for distance away 1m only? It needs a simple transformation in the units.

V_H = c 1m / d_max →

V_H = 2,997924 ×10⁸ ×1m / 1,319768 ×10²⁶ = 2,271553 ×10^-18 (m/s) /m = 1 / Τ_H

Hubble = V / d_3,086e22 = c / d_{max σε μέτρα}

where V= 7,01 ×10⁴ m/s

We find as a speed the inverse of the maximum time 1/Τ=V/S that we find from the relation :

T = S_1Mpc / V_Hubble = S_max / V_max = 3,086 ×10¹⁹ / 70,1

 

What speed results for distance 1m away, when we insert the maximum distance, in according to the conjecture about the accelerating mass of the 1 kg ?

V_H = c 1m / d_max →

V_H = 2,997924 ×10⁸ / 1,34696 ×10²⁷ = 2,225696 ×10^-19 (m/s) /m = 1 / Τ_uni 

Hubble = c / d_{max in meters} = V / d_3,086e22

where V= 6,87 ×10³ m/s

We find as a speed the inverse of the maximum time 1/Τ=V/S that we find from the relation :

T = S_1Mpc / V_H = S_max / V_max = 3,086 ×10¹⁹ /  6,8685 = 4,492975 ×10¹⁸ = c / amin

 

► What speed come out for distance away per radius (calculated with electron charge) approximately r_e = 0,2817936 ×10^-14 m if the Hubble speed is = 2,225696 ×10^-19 (m/sec) /m ?

2,225696 ×10^-19 m/sec          per 1 m

 How speed V           per length re ?

 

V → 2,225696 ×10^-19 × 0,2817936 ×10^-14 / 1m = 6,271868 ×10^-34 m/sec

 

While for the speed of constant Hubble = 2,271553 ×10^-18 (m/sec) /m = 70,1 km / Mpc

V → 2,271553 ×10^-18 × 0,2817936 ×10^-14 / 1m = 6,40109 ×10^-33 m/sec

Close to constant h = 6,62606 ×10^-34 (suspiciousness!)

 

What speed come out for distance away per Compton's length of electron λ=2,4263 ×10^-12 m  if the Hubble speed is = 2,225696 ×10^-19 (m/sec) /m ?

 

2,225696 ×10^-19 m/sec           per 1 m

 How speed V           per length λe ?

 

V → 2,225696 ×10^-19 × 2,4263 ×10^-12 / 1m = 5,4002 ×10^-31 m/sec → V=λe / Tuni

Very near to mass of electron, after M_e / 5,4002 ×10^-31 = 1,686859 (suspiciousness!)

 

With this speed is result, moreover: For electron's period Te = 0,80933 ×10^-20 sec

5,4002 ×10^-31 / T_e = 5,4002 ×10^-31 / 0,80933 ×10^-20 = 6,6725 ×10^-11 m/sec² = G

 

 

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From all previous relations, we observe a small coincidence at least. The maximum distance in to free space (4,276633 ×10⁹ pc), as it results with the Hubble's constant (that emanated from the observation of many distant galaxies, with the newer technical tools and methods and from the analysis of red shift of light), approaches suspectly the maximum distance that results from the acceleration of gravity with a mass of 1kg (2,1821216 ×10¹⁰ pc) from the simpler and initial intellectual experiment. However the rate for the increasing distance of galaxies is considered constant. For each 1Mpc distance, the speed increases with the same quantity ≈70,1km or similar speed.

Also we observe, that time t (4,49295 ×10¹⁸ sec ≈14,237312 ×10¹⁰ years) that hypothetically the mass m of 1kg needs to take the speed of light c does not appear irrelevant than the so-called age of the Universe. It could be an irrelevant number. With few numerical subterfuges and some other known formulas of physics can be revealed relations. 

From the first observations on motion in the finite free space (with a limit to the maximum length of displacement and divergence from the straight line motion) and from the first analysis of Hubble's constant, we approached to a mathematic solution on the relation between of a finite space with matter and with electro­magnetic phenomena, but the first answer was not completed. The tight relation between the free space with matter has resulted theoretically from the philosophical interpretation of a Complete and simultaneous Universe. This relation is obligatory, not because thus we like it, but because only with this close relation (between structure of matter and change in the balanced energy of finite space) a multitude of phenomena are interpreted and their relations are revealed. Some relations of phenomena that had not been observed in our experience and many of known phenomena are confirmed, without conflict to our experience. I thought easily the above intellectual experiment because the close relation between matter and finite space was known and indubitable in me (through the physical interpretation that I have formulated longly-lasting). Immediately I suspected such a close relation about the constant of Hubble with a change in the balanced energy of physical space in its microscopic dimensions. Therefore a close relation with the electro­magnetic phenomena and with the structure of matter was sought.

Some from the first reasonable questions, that are remain unanswered up to here they are: The increase of speed (of expansion) does equalized to the speed of light c at the most long distance? Is this speed superior? What can exist when we observe in the maximum distance of free space? How could replace the speed of space expansion with changes at frequency due to another phenomenon, that is related to the wave structure of space?

The phenomenon about motion of a material body and speed of a body also a small child can perceives. When however, we describe the phenomenon of motion or change without a concrete material thing exists, then the term of "speed" possibly is not the best-aimed term. Still vaguer it is, when we handle the term "speed" in order to we describe a phenomenon of removal between galaxies that happens without their own motion in to space, but with the inflation of space, with a gullible view about the space, as if the space was a material body with dimensions, as in the case of a bubble. We would wait from a scientist to thinks more intelligently and suspects - at least - the phenomenon of a wave change and the measurement of motion with the term of "frequency" and not the "speed". A phenomenon that we know well that exists in substructure of the nature, without some concrete material body, and we call it "electro­magnetic phenomenon".

A most of unforeseen and important observations in the course of mathematic investigation in here, it is the possibility with the simplest numerical calculations and beginning from three physical constants (c, G, h) are result numbers, that are involved in the microscopic structure of matter. With the same constants come out numbers that they describe astronomical traits of the physical world. With common formulas of physics (even wrongly) and using sizes and relations of world in its biggest dimensions, we can to calculate sizes and relations of subatomic world, in microscopic dimensions and reversely. With the same initial numbers, with which we calculate invisible small quantities and their relations, we can to " construct " our visible Universe in theory! The reverse of certain large numbers (for example a longest time ≈10¹⁹ sec, and largest length ≈10²⁷ m) are presented as quantities, that we find in the structure of matter and they are not irrelevant numbers. Particularly, when in the calculations used the known physical constants, in order to we find quantities and sizes about the limits of the Universe, then from mathematical view it is obvious, that the quantities and sizes that we will find, they should to be connected with the quantities and sizes, that we find when we use the same physical constants for calculations about microscopic world. The numerical relations and formulas that need for the description of world with biggest dimensions, same they need for the description of changes and motions in microscopic dimensions. Naturally, this possibility confirms the theoretical ascertainment, according to which the theory for a Completed Time or Universe imports in general the necessary relation and coexistence between a minimal limit with a maximum limit; This theory also imports a relation for the stability of limits (of time, length, speed, energy) at their change.

In the physical explanation of a complete Universe already we have concluded the connection between of material carriers with the existence of simultaneous quantity of energy, that is presented with the form of " empty " but finite space. Already we have concluded the relation of nuclear force with the dynamic connection that the material things have in the minimal distance from the finite space and immediately with the total energy of the completed Universe. Already we have comprehended how the completed Universe is permanently present and participates in the presence of individual things, even in most microscopic dimensions. The research in microscopic dimensions is research about the limits of the Universe. The existence of limits in the Universe and in certain physical activities would not be revealed by the research in microscopic dimensions, if the limits did not exist. They are exist limits in the Universe such as roughly we have determined them and for this reason, we have the advantage we detect limits from observations in the most microscopic processes and not only if we travel in space.

 

 

CORRECTIONS AND INVESTIGATION WILL BE CONTINUED...