Wednesday, August 28, 2019

About the correlation function between two vectors and quantum superposition of photons.
For many years, starting 1982 numerous researchers are investigating the so-called quantum entanglement - quantum superposition of polarized photons. The work started by Alain Aspect, who found that the correlation function between the two simultaneously generated photons in a radiative cascade of calcium [1] is not linear, but follows the law Cos(F), where F is the angle between the polarizers. For intensity that would mean Cos2(F) law. This is exactly the law expected for two completely independent by equally polarized photons (Malus Law).
The deviation from Bell's inequality was thought to occur because of the idea (wrong idea) that for classical case the correlation function between the polarization vectors would be linear (that is directly proportional to angle between polarizers). This is not possible because of the mathematical definitions of vectors: according to [2] the correlation function between any vectors (quantum or classical) must be expressed as a function of Cos and Sin and by no means may be simply proportional to angle. In [2] the correlation function between any vectors is to be proved to be Cos(F) (because it is actually simply normalized dot product of two vectors):

Correlation=Cos(a.b)=(a.b)/(|a|.|b|)

In this case either classical or quantum correlation will follow the Cos(F) law (simple Malus law) and no deviation from Bell's inequality is observed. In [1] a simple generation of two equally polarized photons was observed without any quantum superposition between them.
Linear function of an angle is not possible for correlation function because it will have two special points (at 0 and at 90 degrees), where the derivative is discontinuous, which is not possible for correlation function which must be smooth function. Thus the zig-zag correlation function for classical vectors is equally impossible as for quantum vectors, and the presence of Cos(F) is not proof of quantum behavior of the two independent photons in [1].
This does not exclude the possibility of quantum superposition of photons (and action at the distance), simply the present papers are not proof of it.

References.
1.Alain Aspect, Philippe Grangier, Gerard Roger "Experimantal realization of Einstein-Podolsky-Rosen-Bohm Gedankenexperiment: a new violation of Bell's inequalities"//Physical Review Letters, Vol.49, No 2, p.p.91-94, 1982.
2.Zenon Gniazdowsi "Geometric interpretation of correlation" // Zeszyty Naukowe Warszawsiej Szkoly Informatyki, No 9, Vol.7, 2013 p.p.27-35.





Tuesday, January 25, 2011

3D television and what is the origin of discomfort

3D television is a great thing, especially for the people who weared glasses half a life. Indeed, when I looked through the glasses to the screen, the nice picture of the shaped figures sprang into the view. Some people are talking about the problem of the vision, that looks layered, that is a little blurred on the corners, but this is only temporily. The childhood problem of 3D television is easily understood by the people, who wear glasses in everyday life. Not every glasses works well, in addition to different lenses for different eyes (right versus left) the problem of astigmatism is very important and the problem of the ceparation between the centers of the lenses. That is why I was visiting my physician (optometrist) every year in the childhood till the vision is finally stabilized. She measured carefully the distance between the pupils, the slightes possible askew view and finally the pharmasist was able to manufacture exactly what I need. The same is true for TV. Not just the modern glasses for 3D TV are looking ugly and nonfashion, they should be adopted for everybody's eyes. So very soon the long lines of people will be standing to optometrists offices, looking for prescription of the 3D glasses. It is interesting to  note, that wearing of glasses over glasses is very bad and now the persons with the bad eyes will be trying to make the additional set of spectacles with polarized lenses (3D demand) and with different dioptries for every eye to have the same clear and cristall view the modern spectacles can give for everybody.

Friday, January 21, 2011

Crosscountry skiing in Ithaca

There are two types of skiing - skiing at mountain resort and cross-country. The first one is expensive and more to spend time, not for real sporting hard work. The crossc-ountry skiing is not for lazy people, because the gravitational force of the Earth, that pulling you down from the mountain at mountain resort is not helping you now. Sometimes it works against you, when you climb a hill, sometimes allows some relaxation, when you race down the hill, but on average, like in running, you are working hard to complete the distance. In Russia this tipe of sport is extremely popular among all because of a three snow months. In Ithaca in normal year it is possible to catch 3-4 weekends, when the trail is good. Again, at mountain resort the people are making the artificial snow, but nobody is making artificial snow for cross-country and now the weather alone is responsible for strong enough snow layer to run the distance competing with the seconds on the chronometer. In 2007 I found an exellent place to run - Poddunk center near the Ithaca, on route 96 north. If the sun is shining brightly and the snow is good enough to cover all the remnants of the farmers crop in the fields, the trail will be in an exellent condition and in this case the distance is especially fun to run. The good trail means I am not thinking about where to put the ski on the next step and all the efforts are concentrated onto the wide step and stronger pushes with ski sticks. At those moments, when I running down the hill, I feel myself very excited about the velocity I can develop and how strong I am and how strong are my pushes. If the weather is not so good and windy, the trail is normally half covered by snow delivered by wind and more efforts are necessary to guess the trail with the ski and less fun remains. Still, the exersize is good and after couple of hours, what corresponds to 10-20 km depending on conditions of trail the feeling of an exellent outdoor relaxation persists.

Friday, January 7, 2011

Grocery shopping in finger lakes region

Grocery shopping is something everybody is doing every day, and many are interested in local farmers production. These are good quality, definetly organic and fun to shop cabbages, eggs, redish, potatoes, pumpkins. Especially reddish, since in retailer shops the black reddish and white reddish are rear guests, and for those who has a strong habit for it (like Russians) it will be quite a problem to check many local farmers markets to buy some. Among the big retailers the best is Wegmans, followed by Tops and others. Actually due to great choice Wegmans is the most popular despite the higher price compare to Tops. Both have one more important advantage - they work overnight, this is especially good when I had have sleeplesness, I used to walk to the nearest shop at midnight and buy stuff. Couple of hours being spent walking and choosing and buying and bringing the grocery  back, the sleeplesness was over and morning was bright without any sleep problems. Compare to Wegmans in Tops the prices are lower and  cakes, juices, milk cartoons  are of different style (for example, in Tops I bought unsulted buttermilk that was possible to buy previously just in ShopRite near Atlantic City - for a person from Moscow unsalted buttermilk is really a great drink, as well as unsalted cottege cheese). But in Wegmans the real rye bread is present, with the quality outweighting the Moscow "black bread". This Kostenbrot is sold in huge loafs or in smaller size loafs and has an exellent taste. The rest of grocery shopping is similar in both Wegmans and Tops, but in the smaller retailer shops not all the variety is present.

Thursday, December 30, 2010

How far can the bacteria be modified?

In an interesting publication it is described, that the bacteria can be breed slowly to survive finally in a very poisonous environment.
http://www.csmonitor.com/Science/2010/1202/How-does-an-arsenic-based-life-frm-work-exactly

Probably, some irradiation (either UV or gamma-irradiation in order to increase the mutation rate) can do it even quicklier, and the possible application of the procedure may be an attempt to breed the bacteria that can survive at another planet, like Mars. Slowly, step by step it worthwhile to try generation of bacteria in an environment closer and closer to another planet. If it is possible to do for some poisonous lake, why it is not possible  for much harsher environment. Probably, the final breed can not survive on the Earth after all, but it does not any matter, the modern rocket can send it right to another planet and let them prosper. Billions of years later they may evolve into some intelligent beings.

Friday, December 24, 2010

Ectaco Russian-English translator ER-800

The modern era demands new gadgets for the alleviation of human work. One of the cool features of this translator is a mechanical, robotical men's voice that is synthesized by a complex program created by skilled engineers. The voice is like from some aliens speech-synthesizers from outer space (as shown in science fiction). I like it very much. But the quality of translation itself is awesome - nothing so far can substitute the human interpreter. The dictionary, however is extremely good, from my point of view. I checked there all of unknown for me words from Arthur Hailey' "Airport" and almost, except for some old sleng of 60-th were translated perfectly. So this small box is in reality a very good dictionary after all. The design is of modern epoch - silver and black and it is heavy enough to be treated with some respect. Very light equipment I treat without dignity, they looks like cheap. A lot of games that should teach people how to comprehend English is out of my level of English learning - I prefer to read some classical books, but speach recognition system obviously does not work properly. Well, mp3 player works, if the MMS card is incerted into laptop and the necessary files are copied into it.

Alarm clock RCL RP 5420 C troubleshooting

The modern alarm clock is more and more complicated stuff compare to the old stile mechanical alarm clocks. The problem is that the functions of the buttons can not be understood easily and sometimes the combination of buttons should be pressed to make the right change. So on my alarm clock the alarm was activated and it worked but I can not switch it off. I can nap it but next day it will sound again and very loud at the end. The description does not help, looks like the function of switching off alarm does not work. The solution was to restart the alarm clock - I unpluged it and deleted the battery. Now, at the new set, the  alarm does not turned on and unless \I  erroneously turn it on, it will be silent.