================================================================== 16-3 :  Fractal The revised edition.   From The myth of the shade. ==================================================================							Contents.
		This first was translated from Japanese edition(1997 year) at December, 2000. And, This was translated from the revised edition in Jun. 28, 2012. Hiromasa Noguti.
	As it thought before, it somehow doesn't seem that the enigmatic phenomenon in question is mere physical phenomenon. Isn't it that the countless possibility worlds were confused by the vengeful gods and goddesses' curse? And isn't it that the thing made the possibility-worlds materialize as reality? So, isn't it that reality which should be one fell into the confused situation? Kageura had been caught to the strong impression like that while it talks with Sakazaki. However, this impression isn't becoming the firm belief, yet. And, Sakazaki still is holding firm to one's mechanical fate theory. Anyhow, it needs more deep argument. However, apparently Sakazaki looks to be tired a little. And Kageura noticed that one's self is tired a little, too. It seems to be better to stop the argument a little while, than the continuing of the argument. Kageura, when undoing the crossed legs while saying "Well, I'll make tea", lifted his waist with the slow movement, trying to stand up. Just then, Sakazaki stood up with the quick behavior, saying "Oh, I'll do it". So, Kageura, saying "Oh, thank you", again sat with the crossed legs on the floor. Rather it may be better to say that it lost the purpose to stand up, because of Sakazaki's quick behavior. Anyhow, to be young is fine. "But, is my movement too slow?" Kageura had asked like that to himself in spite of oneself. As a matter of fact, Kageura had noticed that he had uttered the words of "Oof!" carelessly when having tried to stand up. Recently, he often utters this kind of words before noticing. And, whenever uttering the words like that, he feels one's aging. "Why can't I stop uttering this word?". Kageura regretted the thing as usual. However, it can't be helped anymore. But, it often hears that a person's uttering the word like that when it lifts up something brings the good effect not only mentally but also for the prevention of injury. This is the important information especially for an old person apt to react late. Needless to say, Kageura isn't thinking himself to be old person. However, he decided to leave this habit, thinking it is better to care. "Well, even if it pretends a young man for show, it would bring nothing". He picked up one cigarette, while thinking the things like that, and lighted the cigarette up. Then, he, after taking a deep pull one time, put the cigarette on the ashtray with casual behavior. Purple colored smoke slowly rising up is wavering to right and left. And, the waving smoke, after drifting between the floor and the ceiling for a little while, melted into the transparent air, becoming thin gradually. "But, is it possible to know where this smoke goes to after this? It is impossible probably.". Kageura murmured like that while viewing the flowing smoke in some way. Just then, Sakazaki in the kitchen said something. But, Kageura doesn't know what he said. He, when turning to the kitchen in the situation it is sitting on the floor, asked "What did you say now?". Just then, Sakazaki in the kitchen says "even if no one saw the said fact, if that phenomenon is the fact really, it should think that is the objective fact.". And, he asserted "In that reason, it is that reality always is one." since Kageura says nothing. To all appearances, it doesn't seem that Sakazaki is understanding the meaning of the question Kageura stated before. However, it doesn't know at the moment how to explain it. Since it can't be helped for the moment, Kageura kept the silence. Just then, it suddenly feels the smell of the tea. But, since Kageura intended to have asked green tea, he got bewildered a little. However, it seems that Sakazaki understood it as the tea. (Note; The tea means the green tea in Japan. ). Would this be generation gap? Or else, it may be that Sakazaki, himself wanted to drink the tea. So, he seems to have made the tea for one's convenience. However, since it seems that the tea already was made, it can't be helped anymore. Kageura, when taking up two tea-cups from the cupboard set in this room, has put those on the table. Just then, it notices that Sakazaki holding the tea pot is peeping at Kageura from the kitchen. When Kageura looks at him, he says "I made the tea because I couldn't find out the green tea" with glancing up. But, it is dubious. Kageura drank for the moment a little the tea poured into the tea-cup, pretending to know nothing.
			However, the fate-theory Sakazaki states doesn't seem to be favorable. To all appearances, his thinking isn't flexible terribly, caught to the objectivity and inevitability too much. Kageura started to look for the contradictory supposed to be born of Sakazaki's thinking. Just then, Sakazaki said "I think there are the rules regulating all phenomenons' occurring". Probably it seems that he tried to forestall Kageura's utterance in some reason. Kageura asked for the moment "What do you mean?". Sakazaki said. "Its one rule is the causation, that is, the chain of the cause and result, And, another is logical relationship to express with the logistic formula. In the example of logical relationship, it can imagine the situation that the A is A, not the B.". "Oh, I understood.". Just then, Sakazaki continued his talk furthermore. "In other words, our future is decided inevitably by the causation and also the logical relationship like that. I hear there is the mathematical theory saying the logistic formula unable to judge whether it is true or false exists into certain logistic system not having the contradiction. But, I think that it merely means our ability for recognition is incomplete.".
	At that time, Kageura thought this is terrible understanding. But, Kageura led him to speak a little more, saying "Er, I can't judge whether your opinion is true or not, at the moment.". Sakazaki said. "But All phenomenons are decided inevitably by causation and logical relationship. If so, isn't it natural to think like that?". At that time, Kageura felt for a moment that Sakazaki is confusing Godel's theorem with the uncertainty principle. But, since he stated it as the mathematical theorem, Kageura's judgement seems to be mistake. Anyhow, where did Sakazaki hear Godel's theorem? Kageura felt the thing is unexpected a little though it is certain Sakazaki's understanding is false. However, the matter serious now is the thing that Sakazaki isn't aware of the importance of the cognition-subject. If there are the things unable to recognize in principle mathematically or at physics, can who recognize it? Or, can who judge of whether it is true or false? However, it is certain that one possibility materializes as reality. And, we recognize that with our way. If so, would who or what make the recognition like that decide? In other words, would who or what bring us reality? Anyhow, Kageura is believing there is the being like that. If so, would the enigmatic being like that bring us reality, obeying causation and logical relationship? Kageura couldn't think like that somehow. Kageura believes that the Big bang is the cause of causation, not the result of causation. And, if his thought reflects reality, it is impossible to know the cause of the Big bang with causation. By any chance, the logical relationships of various phenomenons which occur in this universe may have gotten born, not until the Big bang occurred. In other words, the Big bang may be the cause of the relationship like that. Kageura, when first pointing out there is problem like that, waited Sakazaki's reaction. But, he agrees unexpectedly easily, saying "Well, I can understand it if it is as the hypothesis though not knowing whether it reflects the fact.". Kageura said. "If so, it is possible to think that something unable to recognize decides reality, that is, all of this world. In other words, the reason why this world can exist may be because the enigmatic existence like that always is recognizing this world.". But, Sakazak said, putting his head on one side. "Let me see. What do you mean?". Kageura said. "Because, it doesn't seem to be possible to explain all things with causation and logical relationship. Causation and logical relationship can't be adopted to the outside of this world, at least whole, I think.". "Why, What does the outside of this world mean?". "Oh, sorry, let me see. Something our recognition can't reach in principle. Or, it may be better to think that it is the being possible on existing. In other words, it is the being having to be stated with only possibility if it thinks at least logically.". However, it doesn't seem that Sakazaki understood. He asserts that though we can't know, the enigmatic being Kageura stated just before is also the definite existence having the inevitable relationship with reality. However, a person feeling the inevitability like that, and so on in between the being like that and reality is nothing else but to be Sakazaki in this case. In other words, if he doesn't exist, his recognition like that doesn't exist. And, reality he sees is held by the relationship between his recognition like that and himself. Actually Kageura's recognition about the world and possibility, and so on is different from Sakazaki's recognition. So, it is natural that the relationship between Kageura and the world also is different from the relationship in between Sakazaki and the world. Kageura thought that the considering the difference like that is important. And, to think which thought is right seems to be meaningless if the enigmatic being not being restricted by causation and also by logical relationship exists. "No one can know the thing in principle. It can't know the thing with at least the brain. In other words, it can't know the thing with considering causation and with calculating a logistic formula.". It seems there is no way else but to think so. And, no one can show the definite answer more than this answer. In other words, it seems that to say there is the possibility that either of the opinions each states, or both is right is the only definite answer in this case. If so, in this case, the concept of inevitability seems to be swallowed by the concept of possibility. And, it may be the natural result because the inevitability is the singular form of possibility that the probability is 100%. In other words, it can't think that the concept of inevitability is necessary at least in logical thinking. And, it doesn't seem that selection of those concepts is decided by the objective recognition. It seems that the decision like that relates to the feeling image the individuals have. And, it seems that it relates to the individual's belief if it thinks it superficially.
	If so, the enigmatic being Kageura stated before has to hold the individual relationship with the individuals. Even if there is a kind of logic which constructs the world with regulating its relationship and the relationship of those relationships, it seems that the logic like that is different considerably from the material logic which holds on this world. But, now thing has come to this pass, this question comes back to the fundamental question whether the mind to think the problem of possibility and inevitability is free out of the influence of the real world. This is the situation unable to find out the definite answer, really, and is the situation unable to get the definite cognition. It is because it is possible to say easily that someone's recognition is only mere phenomenon inevitably brought because of the influence of this world. And, this situation to seem to be unable to judge whether someone's thinking is true or false seems to show the limit of our ability of recognition restricted by causation and by logistic formula.
	Or else, it may be that it shows that the logistic formula unable to judge whether it is true or false at Godel's theorem, is inherent in the real existence itself. Anyhow, it seems that the logistic formula found by Godel shows the certain situation of this world. However, Sakazaki still looks to adhere to the concept of inevitability. For him, the thinking of the possibility that one phenomenon will occur is the walking on the course able to arrive at the inevitability, that is, 100% probability. "When one phenomenon occurs, there necessarily is the definite reason to cause the phenomenon like that.". It is that Sakazaki says like that. Kageura thought how should it contradict. Just then, Sakazaki says "I found out the book of physics on a particle, before.". Then, he started to speak about a electron which goes round an atomic nucleus. According to his explanation, the outer of the physics tries to explain the electron like that with the analogy of the planet which goes round the Sun. However, the fact is different from the explanation like that at all. It isn't that it goes round an atomic nucleus with the appearance of particle in reality. "It exists at certain probability round the atomic nucleus with the unclear situation like cloud.". Sakazaki, saying like that, glanced at Kageura up. Just then, Kageura grinned with the spiteful looks and said "I heard like that before, too.". And, he continued one's talk furthermore. "But, it isn't that the electron goes round the atomic nucleus, dividing into the pieces, isn't it? It is that it works as one persistently when it brings some effect, isn't it?". Just then, Sakazaki, after saying "Let me see", protested "Would you please listen to me with honest attitude?" with glancing at Kageura up. Though a joke also seems to be necessary in the case like this, Kageura apologized with smile for the moment, saying "Oh, I'm sorry". Sakazaki said. "For example, if it flings one of dice, either of integer which is to 6 from 1 appears to the upper part at 1/6 probability. However, the integer the appearing pip expresses doesn't become 1/6 of that integer. This can be explained by the reason to be same as the situation the electron is recognized, I think.". "Why, it is you, not I, stop telling a joke!". But, Sakazaki says "Oh, this never be as a joke" with the bewildered looks. And, he started to speak about the reason in question. "The appearing pip of die has common point to the recognized electron in that those phenomenons both have to be understood by the concept of probability. But, there is certain difference on the probability between the case of a electron and the case of a die. Anyone can fling the die in the place and time that he likes.". "I see. But, it is regulated by the rule generally, isn't it?". "Er, in this case, since this is the explanation merely of the mathematical problem, Think there is no rule!". "Oh, is it so? I see.". "In other words, it is the axis of space-time the probability is applied to about the electron is different from the case of a die.". Sakazaki, after saying like that, started to explain in detail. Needless to say, since the probability is the mathematical concept, there isn't the direct relationship between this concept and the axis of space-time. However, when it applies the concept of probability to the concrete phenomenon actually, it can't ignore the axis of space-time. And, in the case of the die, the calculation of probability doesn't concern two axis expressing space. It concerns only time-axis persistently. Conversely, in the case of an electron, the calculation of the probability concerns two axis to express space. And, in this case, if it dare take up time as one condition for the calculation of the probability, time like that always can be decided to any speck selected on the time-axis. In other words, in this case, the calculation of probability doesn't concern time-axis. "The matter I wanted to say is that the cloud of electron is similar to the situation the pips of the die to 6 from 1 exist like cloud, at the certain range of space in certain point of time.". Sakazaki said like that with confidence.
			However, Kageura put his head on one side a little in spite of saying "Oh, I noticed a little what you mean.". To tell the truth, this analogy Sakazaki stated isn't exact. It isn't that the pips of the die to 6 from 1 exist at reality. It persistently means that the possibility like that exists as real existence at the range of certain probability. Therefore it is natural that either of the pips of die appears, selected to become reality when one of dice is flung. It is that the pip to be selected to become reality is only one persistently. But, it seems that Sakazaki still isn't aware of the thing. He says. "Therefore, there are many realities. So..". But, he, after becoming silent for a moment, said with bewildered looks. "Wait a moment. Let me see. Why, this is strange.". Since apparently he started to speak before reaching a exact idea, it seems that he got confused in the process of the thinking. Sakazaki had sunk into the thought, with folded arms when Kageura glanced at him.
	However, the thought Sakazaki stated until now includes the important suggestion. It is because many realities Sakazaki stated before seems to have to be called the possibility world. The electron's existing like a cloud, based on the certain probability isn't the phenomenon appearing at reality if it is said strictly. It is one possibility to be called the undulation existing as real existence, not a particle. (This also is the writer's opinion.). When the undulation to be called electron is recognized by someone, the undulation like that becomes the particle called electron, possessing some speck of the space-time. It isn't the real existence explained with the concept of probability anymore. It is the phenomenon appearing at reality. Therefore, the undulation called electron is the real existence which will become a particle which is recognized at reality. Needless to say, it is natural that reality needs the existence who makes undulation a particle, in other words, the cognition-subject who recognizes the particle like that. In other words, if cognition-subject exists nowhere, it is that reality also exists nowhere as well. By the way, why is it possible to see the substance? Many of the present person would say that it can see the substance because light the substance reflects arrives at the eyes. It is because they learned like that in the school, and so on. However, is it the only right recognition? Empedokles who was the philosopher in ancient Greece says "since something like a particle is given off out of the eyes and arrives at the substance, it can see the substance.". To all appearances, it looks to be as the bad joke. However, would it be as a joke really? At least Kageura had found the deep truth from his opinion. Kageura thought that the particle Empedokles stated isn't a material being. And, the being supposed to be not material is supposed to be given off out of a soul, not the eyes. Kageura's thought was like that. The chaos to want perception of oneself causes the phenomenon, making one's self to be the origin of all divide into the "subject for cognition", that is, cognition-subject and the"object for cognition". And, the recognition is born of the reciprocal relationship in between cognition-subject and its object. To tell the truth, it is that Kageura already had the opinion like that as the premise of the thinking. It was because the perception is the mental work finally though it is done through the physical phenomenon. The possibility world exists as undulation which is real existence. And, when a soul wants the cognition, it is that the undulation is recognized as a particle. By any chance, the possibility-world Kageura supposes may be different from the possibility world the philosophers state. However, it can't assert there isn't possibility that the concept of possibility world converges on the possibility-world Kageura himself thought. Anyhow, it is impossible that the relationship between reality and the possibility world is explained with causation. This relationship is logical or, if not, is random or is influenced by the image. So, if the said person says at the beginning of the thinking that all things occur inevitably, all things exist inevitably. And, if the said person says that all things are the materialization of certain possibility, all things exist as reality with getting selected, based on the mathematical probability. In other words, it can say that the major premise for the thinking like that decides reality the said person recognizes. But, in this case, it is natural that the condition that the above-mentioned relationship doesn't conflict with the logic which regulates this world is necessary. Anyhow, the possibility to materialize as reality within countless possibilities is only one. If so, it seems that it is better to believe possibility. It is because it seems that it can put oneself under good circumstances at least mentally. Or else, the belief like that may make the possibility world he wants materialize if a image influences the relationship of reality and possibility world. Needless to say, it isn't there is the obvious evidence for the thing. It only could feel the aspect of the relationship in between possibility and inevitability is fractal a little.
	But, it can understand a little the enigmatic phenomenon which is occurring secretly now. All feeling images which are the footing of universe. All phenomenons which is inscribed to the space-time of this world as reality. The harmony between those were broken by certain cause. And, the broken harmony like that confused the possibility world and the mathematical probability. So, the real existence to be not reality which should be expressed with the mathematical probability cut into reality whole as a time. The horrifically strong feeling images the vengeful god in question and Amano emit. And, by any chance, the feeling images Kageura and his fellows emit. The conflict of those feeling images must have brought the horrible confusion to this world. The materialization of the feeling image each wants is in the situation obstructed by the collision of each force. Normally, in the case like that, the feeling image each has tries to materialize as reality with bearing each characteristic space-time. However, in reality, each is clinging to the present reality. So, the possibility-world confused because of the thing made a person divide the recognition of reality. In other words, it led several realities to become one intermixed reality. It can think that the present world not having the consistency was born because of the thing. And, the thing can be guessed if it considers the fact that one's self having the strong feeling image, and also Miyagi, and so on are in this world having the consistency.
	Certainly, this kind of phenomenon had often occurred if it is the phenomenon occurring on a small scale. When a spiritual medium, or a person with especial force, or a prophet, and so on try to recognize certain phenomenon with one's feeling image, it is that a part of space-time at very narrow range is changed. So, the phenomenon like that got recognized to be supernatural phenomenon or the materialization of the prophecy. However, since it harms the consistency of the recognition, even if it says that the causing the phenomenon like that is blaspheming God, it never be exaggeration. Therefore, since many of honest prophets know the thing well, they gave off the warning with very careful expression. But, it was rare that those warnings get accepted in many cases. So, most of prophecy a honest prophet uttered materialized as reality finally and brought this world the terrible harm. It can say that it is the punishment against the bigoted recognition possessed to only the causation and logical relationship in between this world, and also is horrific reward. On the other hand, the prophet and spiritual medium, and so on having the bad intention were obliged to shoulder the horrific risk against the materialization of their prophecy, and so on. It isn't that the force they have was born of this world. Since that is the force they borrowed from the outer world, that appears to this world for a moment like a pair of electron and positron, and originally is obliged to disappear at once. Whatever a person borrowed, he is obliged to return it. However, most of them don't know the thing. Therefore, in most cases, the important thing to be returned to the outer world was taken away by force. In other words, the taken away was the soul he has.
			At the European Middle Ages, the people often heard the anecdotes of an evil person who was given the supernatural force with selling one's soul to a devil. And, the conclusion of the story like that always was miserable. The evil person's act like that always led to the hell not only him but also the people who are related to him. However, the force the vengeful god in question, and so on now are giving off is far stronger than the persons having the bad intention like that. Would this world fall into the chaotic world not having the consistency? Or else, would the force recklessly borrowed bring the collapse of this world with getting taken away suddenly? Anyhow, either of these necessarily occurs sometime if it leaves this problem as it is so. And, by any chance, there may be the possibility someone's intention concerns the collapse like this. However, even if the being like that is god, it can't agree the action like that. If so, what should it do how? Kageura was about to reach one conclusion about the thing now. However, it shouldn't refer carelessly to this incomplete conclusion now. Kageura stowed one's thought into one's heart secretly.
Cotosiro