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THE CIRCULAR MOTION AND THE FINITE FREE SPACE

with a limit in the distance

Attention! They exist translational errors.

LIKELY LIMITS OF THE SIMPLEST RELATIONS AND OBSERVATIONS

If the most minimum rythm 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 rythm 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 script that is based on two universal constants (c and G) finds following potential sizes of time and length (length of radius, diameter or perimetric) :

(The supposal of accelerating mass 1kg with a force 6,6725 x 10-11 N and with a limit in the superior speed c, was the initial thought from that began the effort  expressed with terms of physics, the philosophical interpretation about the Universe as completed and constant on contrary to the individual materially things).

WE SUPPOSE that a force F size 6,6725 x 10-11 Ν accelerate a body mass =1kg

1N =1kgr • m/sec2

1ly = 9,46073 x1015 m

1 Mpc = 106 pc ≈ 3,2615 x106 ly x 9,46073 x1015 m ≈ 30,856170 x 1021 m

The acceleration is result general from the type a = F/m

a =F/Ma = 6,6725 x 10-11 Ν /1kg = 6,6725 x 10-11 m /sec2

In how much time T the speed of mass M =1kg will become equal with the speed of light c, when it begins from null speed, that is to say in how much time it will become Vm=c ? Law of the speed :

V=a t

a=V / t → t = V / a

If  V=c  then  Tm = 2,9979245 x 108 m/sec / 6,6725 x 10-11 m/sec2 = 4,49295x1018 sec = c/G

A body M=1kg and acceleration a=6,6725 x 10-11 m/s2 takes the speed c in time inerval T=4,49295 x1018 sec, in other units 142,372994125 x109 years. In this time interval T how much distance S in linear motion (straigh line) it can have covered ? This we find from the law of distance : S=1/2 a t2

Sm = 1/2 x am x tm2 (Distance S of mass m = 1kg)

Sm = 1/2 x (6,6725 x10-11 m/sec2 ) x (4,49295x1018 sec)2 = 6,73475432 x1026 m

1pc (parsec)= 3,086333 x1016 m

6,73475432 x1026 m / 3,086333 x1016 = 21,821216 x109 pc

Also, if we multiply the time T= 4,49295 x1018 sec multiplied by the meters where the light moved per sec, so we find the meters where the light will have moved in this number T, with its regular speed from the start. In time 4,49295 x1018 sec of the body 1kg, the light will have moved twofold distance Slight :

S light= (4,49295x1018 sec) x (2,997924 x108 m/sec)= 1,346952 x1027 m = c2/G

IN PARSEC:

1,346952 x1027 m / 3,086333 x 1016 = 4,36424 x 1010 pc

Finally, in the time Τ=4,49295 x1018 sec where the body M=1kg is need to arrives in speed of the light c with acceleration a= 6,6725 x 10-11 m/sec2 , the light in same time do double distance S Universe ( 6,73475432 x1026 m x 2 )= 1,346952 x1027 m (Theorem Merton about the speed until a limit in the increase).

 Dividing the time T = Vc / amin = 4,49295x1018 sec by 2π we find : T / 2π = 4,49295x1018 sec / 6,2831852 = 7,150752 x 1017 sec   (7,150752 x 1017 sec) x (31,68808781 x 10-9 ) = 2,2659365 x 1010 = 22,659365 x 109 years   1 earthly year ≈ 31,5576 x 106 sec  |  1sec = 31,688087 x 10-9 year

We supposed that a mass 1kg is accelerated with regularly applied the force that results from the constant G of gravity. Actually, the free space is not neither level neither absolutely empty.

SAMPLES

ΤUniverse = 4,492955 x1018 sec

SUniverse = 6,734769 x1026 m = 2,1823619 x104 Mpc (1st scenario)

SUniverse = 1,346954 x1027 m = 4,364724 x104 Mpc  (2d scenario)

SUniverse = 6,734769 x1026 m / 2π = 1,07187183 x1026 m = 3,473337 x103 Mpc  (3d scenario)

SUniverse = 1,346954 x1027 m / 2π = 2,14374297 x1026 m = 6,946674 x103 Mpc  (4d scenario)

Do not lose the continuity !

 Useful relations [-]

CONCISE TABLE OF SAMPLES ABOUT MAX LENGTH S and TIME T OF UNIVERSE

 Slight Universe = 1,346954 x1027 m = c2 / G T Universe = 4,492954 x1018 sec = c / G Smass Universe = 6,73477 x1026 m 4,492954 x1018 sec = 142,37312 x109 years R Universe = 2,14374 x1026 m T Universe / 2π = 7,150758 x 1017 S Universe / 2 = 6,73477 x1026 m T Universe x 2 = 8,985908 x1018 c2 / S Universe = 6,6725 x 10-11 =G T Universe x π = 1,41150 x1019 S Universe2 = 1,814285 x 1054 T Universe2 = 2,01866 x 1037 1 / S Universe = 0,7424158 x 10-27 =G/c2 1 / T Universe = 2,225709 x 10-19 =G/c S Universe / T Universe = 2,997925 x 108 =c R Universe2 = 4,59562 x 1052 1/ R Universe = 4,66474479 x 10-27 D Universe2 = 1,838257 x 1053 1/ D Universe = 2,33237 x 10-27 For Smass Universe = 6,73477 x1026 m Length of arc per degree = 1,87076 x1024 m For Slight Universe = 1,346954 x1027 m Length of arc per degree = 3,74153 x1024 m

THE CONSTANT Ηubble IN KILOMETERS AND IN PERIOD

H 70,1 km/sec /Mpc = 70,1 km/sec / 3,086 x1019 km

f = V / S → FREQUENCY fΗ = 70,1 / 3,086x1019 = 22,715489 x10-19 1/sec

T = S / V = 1/f → PERIOD ΤH = 3,086 x1019 / 70,1 = 4,402282 x1017 sec

LENGTH SHUBBLE about the case 70,1km with the type : c / f  = c x T = λ

c / f = 2,997924 x108 / 22,715489 x10-19 = 1,31977 x1026 m

LENGTH SHUBBLE about 50km (rounded) :

c / f = 2,997924 x108 / 16,2022 x10-19 = 1,850319 x1026 m

(Time TH again near in the result Tuni = c/G = 4,49295x1018 sec)

1pc =3,086 x 1016 m - 1 Mpc = 3,086 x 1022 m = 3,086 x1019 km - 1year (y) = 31,5576 x106 sec

1light year (ly) = 9,460730 x1015 m

Attention! Many translational errors are exist.

Some of the thoughts that became in the start of investigation about the mathematic formulation of the physical interpretation, it was to become comprehensible: 1) The direct rela­tion of Hubble's constant (H) with the (balanced) energy of the " free " and finite space, 2) its close relation with the limit of a longest distance of space and 3) thus its relation with the structure of matter, after explanation, that the matter is created with the oscillation in the balanced energy of the finite space.

Hubble's Law : V=H d (the rythm of "expansion"). The relative speed of removal between of two galaxies (because the phenomenon about so-called expansion of the free space) is proportional with distance d. The rythm of removal initially had been found with higher speed and is calculated near: 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 x1016 x 106 = 3,086 x 1022 m

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

d =c /H

dmax = (2,99792 x105 km/s) / 70,1 = 4,276633 x 103 Mpc = 4,276633 x109 pc

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

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

4,276633 x 109 pc x 3,086 x1016 m = 1,319768 x1026 m

Conversely:

Hubble = c / dmax → c / 4,276633 x103 = 70,1km/sec / Mpc

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

H = V / dMpc = c / dmax

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 x1019 km. The speed of removal... 70,1 km for each Mpc away →

ΤH = 3,086 x1019 / 70,1 = 4,402282 x1017 sec

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

ΤH = 1,3197 x1026 / 2,99792 x108 = 4,40205 x1017 sec

In this time interval Τ = 4,40205 x1017 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 relation V= S/T

VH = 3,086 x1019 / 4,402282 x1017 = 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 x1026 / 4,402282 x1017 = c

► We find an time interval 4,492954 x1018 sec in that a mass m=1kg needs until reaches in speed of the light c with acceleration a= 6,6725 x 10-11 m/sec2 and in distance S=1,346954 x1027 m for the light (or S=0,673477 x1027 m = 2,182362 x104 Mpc for the 1kg mass). What speed of removal do we find for this mass per 1Mpc away ?

V = 3,086 x1019 / 4,492954 x1018 = 6,8685 km/sec

That is to say, if the Hubble's constant6,8685 km/sec /Mpc then we find the known maximum distance :

dmax =c /H = 4,364744 x104 Mpc = 1,34696 x1027 m  (= c2 / amin )

 We observe the relation :  c / VHubble in m/s =  dmax in meters/ 3,086 x1022 or  c / VHubble in km =  dH in Mpc/ 1Mpc

The acceleration / deceleration ±a = 6,6725 x10-11 m/s2 with which the 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 x105 km/s) (6,8685 km/s) / 3,086 x1019 = 6,6725 x10-14 km/s2

c VH / 1Mparsec (2,99792 x108 m/s) (6,8685 x103 m/s) / 3,086 x1022 = 6,6725 x10-11 m/s2

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

c VH / 1Mparsec (2,99792 x108 m/s) (7,01 x104 m/s) / 3,086 x1022 = 6,80993 x10-10 m/s2

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

Vmax = C

 HUBBLE'S CONSTANT 70,1 km/sec / Mpc with limit of the speed c THE HUBBLE'S CONSTANT AS IT WOULD BE 6,8685 km/sec / Mpc Time interval Τ= 4,402282 x1017 sec Time interval Τ= 4,492954 x1018 sec Maximum length S= 4,276633 x 103 Mpc = 1,319768 x1026 m Maximum length S= 4,36424 x 104 Mpc =  1,34696 x1027 m Pace of change ±a = 6,80993 x10-10 m/s2 Pace of change ±a = 6,6725 x10-11 m/s2

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

VH = c 1m / dmax

VH = 2,997924 x108 x1m / 1,319768 x1026 = 2,271553 x10-18 (m/s) /m = 1 / ΤH

Hubble = V / d3,086e22 = c / dmax σε μέτρα

where V= 7,01 x104 m/s

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

T S1Mpc / VHubbleSmax / Vmax = 3,086 x1019 / 70,1

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

VH = c 1m / dmax

2,997924 x108 / 1,34696 x1027 = 2,225696 x10-19 (m/s) /m = 1 / Τuni

Hubble = c / dmax in meters = V / d3,086e22

where V= 6,87 x103 m/s

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

T S1Mpc / VHSmax / Vmax = 3,086 x1019 /  6,8685 = 4,492975 x1018 = c / amin

<•> That is to say, we find that the Hubble's speed is the reverse of a maximum time interval in which is realised the maximum removal. In shorter distances are correspond less speeds, that they are subdivisions of the reverse of the Universe's "age".

VH = c d / dmax = d / TH

For d = dmax the speed approaches V= c

For d = dmin the speed approaches V= Vmin

Because this speed is speed per length Mpc, if we erase mathematically the units of length, then it remains a frequency V/Mpc = f. This speed per longer distance gives frequency that is very lower and would is better to we speak reversely about a time interval. But, if we calculate this speed per shortest distance, then the frequency is higher. However, the speed that we calculate it varied in reference with a distance, this is always the maximum speed for all bodies, because all bodies are founded in a maximum distance in reference with another point after a longer distance. Therefore, a speed between the bodies or a frequency for fluctuations on the free space, that is varied after a distance? An expansion of free space or wave change of the free space, where after the longer distance, the length of waves appears increased?

Attention! Many translational errors are exist.

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What speed come out for distance away per radius (calculated with electron charge) approximately re = 0,2817936 x10-14 m if the Hubble speed = 2,225696 x10-19 (m/sec) /m ?

2,225696 x10-19 m/sec          per 1 m

How speed V           per length re ?

V2,225696 x10-19 x 0,2817936 x10-14 / 1m = 6,271868 x10-34 m/sec

While for the speed of constant Hubble = 2,271553 x10-18 (m/sec) /m = 70,1 km / Mpc

V → 2,271553 x10-18 x 0,2817936 x10-14 / 1m = 6,40109 x10-33 m/sec

Close to constant h = 6,62606 x10-34

What speed come out for distance away per Compton's length of electron λ=2,4263 x10-12 m  if the Hubble speed = 2,225696 x10-19 (m/sec) /m ?

2,225696 x10-19 m/sec           per 1 m

How speed V           per length λe ?

V → 2,225696 x10-19 x 2,4263 x10-12 / 1m = 5,4002 x10-31 m/secV=λe / Tuni

Very near to the mass of electron, after Me / 5,4002 x10-31 = 1,686859

With this speed is result, moreover: For electron's period Te = 0,80933 x10-20 sec

5,4002 x10-31 / Te = 5,4002 x10-31 / 0,80933 x10-20 = 6,6725 x10-11 m/sec2 = G

From all previous relations, we observe a small coincidence at least. The maximum distance in to free space (4,276633 x109 pc), as it results with the Hubble's constant (which 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 (with the simpler and initial intellectual experiment) from the acceleration of gravity with mass 1kg (2,1821216 x1010 pc). However the rythm for the " removal " 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 the time t (4,49295 x1018 sec ≈14,237312 x1010 years) that hypothetically it needs the mass m of 1kg in order to it 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 it can are revealed relations with other known formulas of physics.

From the first observations on the motion in the finite free space (with a limit in the biggest length of removal and divergence from the straight line motion) and from the analysis of Hubble's constant, we approached in a mathematic solution in question, about the relation between of the void finite space with the matter and with the electromagnetic phenomena, but the answer was not completed. The tight relation between the free space with the matter has resulted theoretically from the philosophical interpretation about 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) they are interpreted a multitude of phenomena, they are revealed relations and phenomena that had not been observed in the experience and are confirmed many of known phenomena, without conflict with the experience. Because the close relation between the matter and the finite space was known and indubitable in me, through the physical interpretation that I have formulated longly-lasting, with this view I thought easily the above intellectual experiment and immediately I suspected the relation about the constant of Hubble with the change in the balanced energy at the finite space in its microscopic dimensions. Also with the electromagnetic phenomena and with the structure of matter.

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

The phenomenon about the motion of a material body and speed of this body, it can perceives also a small child. When however, we describe the phenomenon of motion or its change without it exists a concrete material thing, the term of speed possibly is not best-aimed term. Still vaguer it is, when we handle the term "speed" in order to we describe a phenomenon of removal between the galaxies, that happens without their own motion in to space, but with the inflation of space, with a gullible opinion about the space, so 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 at least, he suspects the phenomenon of a wave change and the measurement of motion with the term of "frequency" and not the "speed". A phenomenon which we know well that it exists in substructure 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 types of the 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, with same numbers 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) with these themselves are presented quantities, that we meet in the structure of matter and 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 which we will find, they should to be connected with the quantities and sizes, which we find when we use the same physical constants for calculations about microscopic world. The numerical relations and the types 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 it imports in general and theoretically the necessary relation and coexistence between a minimal limit with a maximum limit, also imports a relation for the stability of limits (of time, length, speed, energy) at their change.

In the physical explanation for a complete universe, already we have concluded the connection between of material carriers with the existence of simultaneous quantity of energy, which is presented with the form of " empty " but finite space. Already we have concluded the relation of nuclear force with the dynamic connection that have the material things in the minimal distance of 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 the limits from observations in the most microscopic activities and not only if we travel in space.

WILL BECOME CORRECTIONS AND WILL BE CONTINUED...

 Now, it is not privilege of few leading physicists to speak about the Universe and its limits with the terms of Science and with the language of numbers. Whoever can thinks and searches theoretically with the knowledge of mediocre student of medium education! Because the Universe has constant min and max limits... forever and everywhere.

MASS AND ENERGY: TWO SIDE OF VELOCITY IN THE STRUCTURE OF MATTER

THAT DIRECT RIGHTLY THE RESEARCH

 In the physical explanation for a complete universe, already we have concluded the connection between of material carriers with the existence of simultaneous quantity of energy, which is presented with the form of " empty " but finite space. Already we have concluded the relation of nuclear force with the dynamic connection that have the material things in the minimal distance of 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 the limits from observations in the most microscopic activities and not only if we travel in space.