quocdat
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Thank you so much for clarifying it out for me.

Lately, I came up with a problem that I cannot solve and seems to be paradoxical. The problem is simple: A = x0 + x1 + x2 + x3 + x4 +... with x > 1. The sequence goes on to infinity. If we multiply A to x, we will get A.x = x( x0 + x1 + x2 + x3 + x4 +...) A.x = x1 + x2 + x3 + x4 +... A.x = A  x0 = A  1 A A.x = 1 So : A = 1/(1  x) This clearly cannot be true since if x is 2, A would be 1 instead of infinity. However, I don't know what did I do wrong or does the problem even make sense or not. I would be thankful to receive help from you guys. Thank you.

Twin universes  our answer for our own existence?
quocdat replied to quocdat's topic in Speculations
Actually, though it may seem confusing at first, it is all logical. I thought that in order to withstand the enormous forces and gigantic sources of energy throughout the univers the interaction between the two worlds must be unbreakable. However, if we consider the fact that the two universes are completely alike to one another, in another way, what happens in one universe would also occur to the other so the symmetry cannot be broken in this era ( unlike the chaotic early age of the universe). This means that although the interaction is very weak, if there are no changes in the symmetry, then the bond would still last, that is the true reason why particles don't just disappear and then reappear once again constantly. One more important reason for this is that if the amount of energy in each bond is huge, then we would violate the law of energy conservation. Of course, we can fix that by saying that the system consists of two universes instead of one but this is more likely and simpler. If you imagine in the early era of the universe when the two universes had not been the same yet if a photon in our universe hit a stable electron ( an electron that is already connected to a positron in the other universe), what would happen? If the amount of energy in the bond is big, then you would think that the photon will not have enough energy to break the bond, but since we are talking about the early age of the universe when everything is hot and dense, we can say with absolute confidence that the photon has enough energy to break the bond no matter how strong it is since the electron came from the photon anyway. So if the amount of energy stored in the bond is huge, then what would happen after the bond is broken and the electron get deflected, will a gigantic amount of energy just come out of nowhere? To me, it is hard to believe that a big amount of energy would just appear out of nowhere and most of the energy is stored in the bond, not in the universes. So, the only logical explanation to me is if the amount of energy in the bond is a super tiny amount that would break under any smallest nonsymmetrical impact. So the electron in our little example would be deflected, leaving behind the positron it really thin and weak, if no force is acted on it, then it would just last internity. Oh, and another thing. T Sorry, there was an error in my laptop. What I meant to say is: If we imagine an electron and positron bonding to each other, their bond would first have an enormous amount of energy since they would both stop moving when joining together. However, most of the energy in the bond will be evenly distributed between the two particles and they will continue to move at near the speed of light, only a tiny amount of energy is left in the bond. This fit our current knowledge that space in that early age was hot and dense so particles were moving near the speed of light, not losing most of their energy in an instance. 
Twin universes  our answer for our own existence?
quocdat replied to quocdat's topic in Speculations
I just came up with a way to prove this theory...I think. My confidence is not so high on this one. But here it goes. I have changed my mind about the fact that the bond between the two universes is super weak, not super strong. The amount of energy that is in these bonds must be really small since what would happen if in the chaotic age of the universe when two universes had not bonded to each other yet, it was possible for a photon to hit an electron in one universe only, so what will happen? Well, in my opinion, the photon would break the bond and the electron spring free from the bond and a positron bounced back and forth. But perhaps due to the fact that the universes were in a high energy state so new particles were created to compensate for the lost one. However, after the creation era, the universe did not have enough energy to compensate anymore. So if we can somehow get the number of particles of the universes through time, we should see that number would reach the maximum and then it would slowly fall down until it reaches the number we see today. If we see this pattern, the theory should be the only theory able to explain it. 
Twin universes  our answer for our own existence?
quocdat replied to quocdat's topic in Speculations
I just have another idea of how we can support the theory. We cannot prove it directly since the symmetry between two universes is indestructible, so every pair of particles we create will lose their bouncing ability since they will interact with the particle from the other universes or they can interact with their own kind from the other universes and then destroy our antiparticle either way. In short, there is no way to replicate what happened 10^32 s after the big bang. However, we can still support the theory (not proving it) by studying the background radiation. I'm not even sure if this is possible or not, it's just an idea in theory. If we measure the energy level of this chaotic time, we should be able to see that the energy level gradually dropped since the interaction between two universes needs energy so it takes some of the kinetic energy from the particles, slowing it down. Now if we can find a way to find out the exact time when the creation of stable matter and antimatter stopped, we can conclude that there must be a minimum level of energy density to create stable matter as we know today. I haven't figured it out how can we find this trace from such a long time ago, but if we can, then we should be able to conclude that there is a relationship between energy and the chances of creating stable matter and antimatter. If somehow, in the best and most futuristic way possible, we find out the amount of matter and antimatter in space through a period of time, then the number, according to my theory, is supposed to drop steadily when the universe cooled down. This our observation that there are no stable electrons or positron ( not counting virtue particles) suddenly pop in from nowhere into existence and that the universe is not constantly making new things to take all of it space, the creation process can only take place in a chaotic, unpredictable when there is no real source from photons and the energy level was high like the big bang. After a while, interaction started to link the two universes together and the creation stopped. 
Twin universes  our answer for our own existence?
quocdat replied to quocdat's topic in Speculations
Yes. If we create a positron and an electron, then the same thing would happen in the other universe, since they will both appear at the same time and with the same coordinates in both universes, they will form two locks and two stable pair are born. This makes creating bouncing particle impossible for us since the two universes are identical. Thank you for making realise this. This does not really say that the theory is wrong since in the early age of both universes, they were not the same. Photons moved at different direction in both universes because right after the big bang, there was no matter yet, so there were nó real sources for the photons. Now, if we create a pair, there would have to be a matter source, so the same thing, even the random, uncertainty things of quantum mechanics, would have to take place in the parallel universe as well. So it would be nearly impossible for us to reinact the big bang and prove this theory. So even though the theory, in my opinion is still a good explanation about the existence of the universe, proving it would be kind of impossible. Maybe this can only be something to think on paper but cannot be proven in real life. This does not mean that it is a terrible idea, but the future for the theory is quite gloomy. 
Twin universes  our answer for our own existence?
quocdat replied to quocdat's topic in Speculations
We cannot just accelerate electron and positron and then collide thêm with each other, we need to create a pair and accelerate both of them to nearly the speed of light and then collide thêm to each other, and we need to do this while keeping them from colliding to each other at first. We also need to repeat the experiment since even when traveling at near the speed of light, the chance of one particle standing i still not 100%. Only when we do the test and find out that only one particle, electron or positron is let standing, then we can conclude that the theory is right. We also cannot just smash a stable electron and positron since they do not posses the bouncing ability between two worlds and will surely cancel each other out. Even if moving at 99.9999% the speed of light, the probability that one particle is let standing is still very small. 
Twin universes  our answer for our own existence?
quocdat replied to quocdat's topic in Speculations
In my opinion, the only way for this to be tested is that we create a pair of matter and antimatter particles, then give them energy so that they move close to the speed of light and smash them to each other. There should be a chance that they do not destroy each other but what is left would be a particle or an anti particle. This happens in black holes' event horizon all the time since virtue particles there have an enormous amount of potential energy, so some of the virtue particles, in fact a great deal of it will be real particles. However, matter black holes should suck in antimatter and antimatter black holes should suck in matter (in the other universe). So we are left with matter only in our universe that we know as Hawking radiation. So i we can get close a black hole's event horizon and detect one trace of antimatter there, this they shall be proven. 
Twin universes  our answer for our own existence?
quocdat replied to quocdat's topic in Speculations
I don't have enough math skill to build the complete model of the process. However, I believe that it is an interaction that connects the two universes, kind of like quantum entanglement but in a higher diemsion. For this I need an advanced skill in calculus which is something I am still trying to gain. I know that due to the interaction, the processes in both universes must be the same, just with antimatter. Velocity, spin, mass...in both universes must be the same. In other words, there is an anti quocdat writing this right now. Oh and one correction, the lock mechanism will only be activated when the centers( imagine particles as spheres) are in place, so the inequation must be 2r, not 4r. 
Twin universes  our answer for our own existence?
quocdat replied to quocdat's topic in Speculations
First of all, in the beginning, thế number of matter and antimatter we're the same, this is obvious and suit our knowledge so far. Due to the property of quantum mechanics, there are more antimatter bounced to the other universe is just due to our luck. In fact, the chance that the universe being destroyed in the first place was higher since there was an equal chance for matter to bounce. However, that chance is not 100% and we exist due to luck. The lock mechanism will go on forever since it is unbreakable, is not, then anti matter would jump back and the universe would be destroyed. However, in order for it to form, the particle needs to move at speed close to the speed of light and has a gigantic amount of energy, something only exist in the hot early age of the universe. My theory also say that when matter and anti matter collide with each other, they do not necessarily have to destroy one another, in fact, if at the time of the collision, one pop out of our universe, the locked pair will be created and matter or antimatter will be created. There are more matter than anti matter i because of luck. 
Twin universes  our answer for our own existence?
quocdat replied to quocdat's topic in Speculations
Thank you so much for your advice. I am new to this so I am a little bit nervous. Basically, my idea is that in the beginning, the big bang created two parallel universes. After a short time, matter and antimatter were created and they had the original tendency to bounce between universes and the frequency of this process is equal to the wave frequency of that particle. So maybe when let's say an electron and a positron were going to collide with each other, suddenly one of them bounce to the other universe, and in order for that to cancel the destruction, they have to move insanely fast. I have done the calculation for electron and they had to move at 99.9995% the speed of light ( which I thought was crazy and unreal). But the universe in the early age was hot and dense enough for this to happen. And it is because of pure luck that more positrons bounced to the other side than electrons. That is my simple ideal. I am going to fix my document as soon as I can. Thank you once again for your comments. This is a copy of my idea. Thank you for your time. Twin universes – The explanation to the existence of everything. Hello everybody. Let me start just by saying that I am just a 15 years old boy who is really into physics and the mysteries of the universe. Although I have a great interest in theoretical physics and I am trying my best, I still cannot say with 100% confident that I am “good with math”. I am simply a person that dream a lot and often dream about the things I cannot achieve. So I am really sure that there are a lot of mistakes in this idea of mine, so if you guys spot them, please inform me. Thank you so much! Ok. Through books, documentaries and the Internet, I have found many problems in physics, even with all of our advanced technology and all of the brilliant minds in the field, still are remaining unsolved. Upon those, the one I found the most intriguing is the question of how can this universe even exist in the first place. If there are an equal number of antimatter and matter created after the big bang, aren’t they supposed to cancel each other out and the only thing in this universe should be only radiation? A lot of theories have been invented, however, failed to explain this. I think that there must be a different solution to this problem besides assuming that there is a process that gives matter an advantage over antimatter since we have not known what is that process yet despite countless experiment, and the idea that there is a gigantic pile of antimatter somewhere since if that was true, there would be a huge and constant amount of radiation around the universe. So I came up with my own theory. That is the big bang did not just create one universe, it created two parallel universes. After doing some research, I found out that this idea has been brought up before by some physicists, I am probably the only one using that to explain the existence of both universes. If I am wrong, then I am sorry for not doing a good enough job at gathering information. So, let’s begin. When the big bang took place, it created not one but two universes. After about 10^32 s, matter and antimatter began to form in both universes. However, there is a catch. All of the subatomic particles were vibrating between two universes, both antimatter and matter. This means that everything disappeared in this universe and then transformed itself to the other and then did the same thing all over again. This happened repeatedly and with a certain frequency and it is the reason why we are here today. The main two points of my theory are: +the big bang created two universes, ours and one other with the frequency that is equal to the frequency of the de Broglie wave of that particle. +matter and antimatter both vibrated between them in the early age of the universe. +if one particle in this universe is in a specific position that matches its antiparticle in the other universe, there will be a really strong interaction between them through the two universes (Đ) and it will keep them in their universe forever. So my idea is really simple. Firstly, the frequency of that procedure is: f=(mv^2)/(h√(1v^2/c^2 )) So the time for a particle to disappear and then reappear in a universe would be: t=h/(mv^2 ) √(1v^2/c^2 ) From this, we can see that in order for there to be a possibility that a particle and its antiparticle will not destroy each other, the time that they pass through each other must be longer than the time it takes for them to disappear and reappear. If we imagine a particle to be a sphere, we can calculate this. Given that r is the radius of the particle, we can see that for the two particles to have a non 0% chance of canceling each other out, or in another way, for a particle to “exist”, it must satisfy the following inequation: h/(mv^2 ) √(1v^2/c^2 )≤4r/(2v⁄(1+v^2/c^2 )) Or: (√(1v^2/c^2 ))/(v(1+v^2/c^2 ))≤4 hr/m This is the inequation of creation. Basically, this is what an electron – positron pair in different universes would look like. The interaction ( in which I use the letter Đ in the Vietnamese alphabet to represent the interaction).To be honest, I don’t have the Math skill required to find the strength of this interaction. I hope that someone can find this out ( in the case that my idea is not completely wrong of course). However, I know that this interaction must be nearly or really unbreakable since we have never observed matter just disappear or appear out of nowhere. We can also relate the velocity of a particle to its energy and we will see that in order for a particle to be stable, it will need to move at near the speed of light, or have an incredible amount of energy. Both of these things were available in the early age of the universe, right after the big bang, when everything was in a hot, dense soup. So the chance of a pair of particle and its anticounterpart destroying each other is not 100%. This also means that the infinite universe that we are living in today was made due to pure luck, and the odds were actually against our existence. If an unstable particle hits a stable particle, then two things can happen: they all disappear if it hits the anticounterpart or they will deflect each other if it hits its own kind. I am not sure about this, but this can also explain Hawking radiation since being near a black hole will give you an enormous amount of potential energy, and the creation of matter and antimatter. So that is basically it. In order to create matter, you need a whole lot of energy and this will only give you only a chance of creating matter. I’m not confident at all about my math, so like I said, there are definitely mistakes in this. It is not really a paper or an article, it is just an idea that I had in my free time. I look forward to hearing comments from you guys. 
Twin universes  our answer for our own existence?
quocdat replied to quocdat's topic in Speculations
Oh. I made it my self since Word is easier to work with equations. Sorry for the confusion. This might sound weird but I am thatstudent. :)) 
This is not a paper but just a silly idea from a secondary school student. Looking forward to hearing your comments. Thank you so much! Twin universes.docx