Four-dimensional space? It is very simple! Or "the Theory of Spaces".

© Любарь Владимир Яковлевич

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Chapter 8.

Effect Dopler`s for light.

With what speed it is necessary to fly, that red color of a traffic light, has turned in green?

 It is known, that a spectrum of frequencies, from red up to violet, borrows one octave. It means, that frequency violet twice is more, than red. Frequency green is in the middle, i.e. a floor of an octave is higher from red, or frequency green in one and a half time is higher than frequency red.

        We calculate:  

((2,25 – 1) / (2,25 + 1)) *299,792458 = 115,30479153846153846153846153846 t. Km/s.

   To go to the infringer, it is necessary with a speed    –     

115,30479153846153846153846153846 t. Km/s., on a red signal of a traffic light that it seem to it green. With same speed it is necessary to leave from green that it seem red.

And with what speed it is necessary to go to raise (or to lower) tone on one octave?   (K_d = 2).        

We calculate: ((4 – 1)/(4 + 1)) *299,792458 = 179,8754748   t. Km/s

And what  K_d  will be at speed:

-     900 km / hour (0,25 km/s):

K_d =  Ö ((299792,458 + 0,25)/(299792,458 - 0,25))   =   Ö (299792,708 / 299792,208)  =         

            Ö 1,00000166782186680449012870941596  =  1,00000083391058569881259408637609

And if the device radiates, and then accepts own radiation reflected from moving object,

K_d    will be in a square:      K_d ² = (C + V)/(C - V)

(i.e. it is not necessary to take a root)

K_d ²  = 1,00000166782186680449012870941596

If the accepted (reflected) frequency now to mix with primary  we shall receive the average frequency promodulated by a difference of frequencies. Then it is frequency it is detected, and the pure difference of frequencies in a kind ready to the use is allocated. This frequency it is possible to strengthen and submit on the device (frequency meter) showing speed at o'clock. The above frequency – the is more speed. And it does not depend on, whether the object leaves or whether the device from based object comes nearer, leaves, or comes nearer to it.

 Speed – mutual!     K_d – it is symmetric!      

Not to get tired to repeat:    Speed – concept relative, and without any ether (without filler emptiness)!

The above frequency basic – F (device), the it is possible to measure smaller speed. And even quartz own frequency it is not necessary, the difference of frequencies will be always identical.

That is K_d on frequency does not depend, it always remains CONSTANT, and depends only on speed of object (mutual). Step-type behaviour of the younger category of measurement depends on frequency only. By it it is reached:

ABSOLUTE ACCURACY OF MEASUREMENT!!!   

 In aircraft (and not only) these devices for a long time are already used:  http://rzp.narod.ru/aviaelectronics.htm

  For example: the militian radar "Барьер-2М", measures speed of movement of automobiles in a range from 20 till 199 km / hour. The basic error of a measuring instrument of speed at measurement of speed no more ± 1 km/hour. Working frequency of radiation at measurement of speed: 10`525 ± 30 MHz. We shall consider now K_d and frequency on the index, depending on speed:

K_d²   = (C + V)/(C - V)     

F_u = K_d² * F – F   or     F_u = F * (K_d² - 1)

Where F_u – the frequency allocated at mixing of frequency of the generator with frequency of the reflected signal from moving object.

F_u = (K_d² – 1) * 10525000000 Hz.

-     199 km/hour (0,0553 km/s):

(299792,458 + 0,0553) / (299792,458 – 0,0553) = (299792,5133) / (299792,4027) =

(1,00000036892195734084891805031722 – 1) * 10525000000 Hz. = 3882 Hz.

-     160 km/hour (0,0444 km/s):

(299792,458 + 0,0444) / (299792,458 – 0,0444) = (299792,5024) / (299792,4136) =

(1,00000029620496040464180712009852 – 1) * 10525000000 Hz. = 3117 Hz.

   - 130 km/hour (0,0361 km/s):

(299792,458 + 0,0361) / (299792,458 – 0,0361) = (299792,4941) / (299792,4219) =

(1,00000024083330573340286290939097 – 1) * 10525000000 Hz. = 2534 Hz.

   - 100 km/hour (0,0277 km/s):

(299792,458 + 0,0277) / (299792,458 – 0,0277) = (299792,4857) / (299792,4303) =

(1,000000184794525814283043290036 – 1) * 10525000000 Hz. = 1944 Hz.

  - 90 km/hour (0,025 km/s):

(299792,458 + 0,025) / (299792,458 – 0,025) = (299792,483) / (299792,433) =

(1,00000016678206150720288527095679 – 1) * 10525000000 Hz. = 1755 Hz.

  - 80 km/hour (0,0222 km/s):

(299792,458 + 0,0222) / (299792,458 – 0,0222) = (299792,4802) / (299792,4358) =

(1,0000001481024692351493946532723 – 1) * 10525000000 Hz. = 1558 Hz.

   - 70 km/hour (0,0195 km/s):

(299792,458 + 0,0195) / (299792,458 – 0,0195) = (299792,4775) / (299792,4385) =

(1,00000013009000558898352601378237 – 1) * 10525000000 Hz. = 1369 Hz.

  - 60 km/hour (0,0167 km/s):

(299792,458 + 0,0167) / (299792,458 – 0,0167) = (299792,4747) / (299792,4413) =

(1,00000011141041400232261292840007 – 1) * 10525000000 Hz. = 1172 Hz.

  - 50 km/hour (0,0138 km/s):

(299792,458 + 0,0138) / (299792,458 – 0,0138) = (299792,4718) / (299792,4442) =

(1,00000009206369451255169425647586 – 1) * 10525000000 Hz. = 968 Hz.

  - 40 km/hour (0,0111 km/s):

(299792,458 + 0,0111) / (299792,458 – 0,0111) = (299792,4691) / (299792,4469) =

(1,00000007405123187578212464965207 – 1) * 10525000000 Hz. = 779 Hz.

  - 20 km/hour (0,0055 km/s):

(299792,458 + 0,0055) / (299792,458 – 0,0055) = (299792,4635) / (299792,4525) =

(1,00000003669205114495002171543995 – 1) * 10525000000 Hz. = 386 Hz.

  - 9 km/hour (0,0025 km/s):

(299792,458 + 0,0025) / (299792,458 – 0,0025) = (299792,4605) / (299792,4555) =

(1,00000001667820489898886064529399 – 1) * 10525000000 Hz. = 175 Hz.

The conclusion.

The formula Dopler's  factor   (K_d)   and his full symmetry confirmed in practice,

proves:                           

-     radio waves (light) it not waves in the environment, and something another

-     absence of an ether (there is nobody filler's, filling emptiness)

-     constancy of speed of light, in any system of readout

-     equality of all systems of readout

-     relativity of speed

-     relativity of time

-     speed of light as indefinitely big size limited to horizon of observable events (300000 km/s)

-     and many other things.

                                    On   July,   5,   2005                                                                                        Ljubar V.J.

Extreme corrections on October, 13, 2005.