Monday, September 6, 2010

How Long Do Cojibas Last In Box

What was there before the Planck time? A possible origin of the Universe and Unified Theory on the Unification of Forces.

(From Grishka and Igor Bogdanov, "before the Big Bang-The Origin of the Universe" - Ed Longanesi - 2008)

Part Two

The gravitational instanton is a singular point: the size is zero, does not occupy any volume in space, nor any point in time. The solution of Einstein's equations, calculated by Friedmann, led inevitably to the existence of this singularity. This is true even taking into account the limits of fluctuation raging at the Planck scale? The fluctuations of the temporal direction must lead to the existence of a singular point of origin. The mathematical object that describes the fluctuation of the time at the Planck scale is merely the product of two groups of symmetries that correspond to the two possible signatures of the metric: the Lorentz group [symmetry group of space-time that SO writes (3.1)] and the Euclidean group [group corresponding to a 4-space dimensions that evolves into imaginary time and write SO (4)]. The next step is to build the unification of these two groups in a symmetric homogeneous space completely describes the fluctuation of the signature between real time and imaginary time. As a topological space, the space in five dimensions which allows the fluctuation of time has the topology of a convex cone. And as we know, involves a cone vertex, which represents a singular source, a Ground Zero. Hence the result that the fluctuations of the metric signature inevitably refer to the existence of a zero point, the singularity at the origin of space-time. The KMS condition for the spacetime at the Planck scale, provides that, at this scale, a scale in which the temporal direction is not fixed but "floating" the universe is in a state of thermal equilibrium. The singularity at the origin that is not has substance (and existence) any physical level. Being outside of space, time and energy, this is a pure geometric abstraction. Like us to do the math, we can conceive of this word "point" as a pure image of the "zero", which has the same simple ideal. At the same time, on the other hand, possesses all the wealth and all the complexity. Beyond dell'istantone gravitational singular, there is nothing. Neither matter nor space nor time. All that remains is the lonely, silent, motionless initial singularity, the zero point, an entity wholly mathematics, legible and visible only through mathematics. What we see at Ground Zero? What kind of landscape we've come? We are in a new realm: that of mathematical entities. Here, everything changes, we can become as small as we want. Let us assume, therefore, be smaller than 10 or 10 ^ 1000 ^ 10000. In fact, we fall into an endless infinite power with negative exponent, ie towards zero. The series of prime numbers calculated so far of nearly three million digit for the decimal point of π, now if they know more than a hundred billion. And the great number theorists are convinced that the hearts of those interminable series, in the billions of digits that are lost in the infinite, there is a secret, a key, opening the gates of infinity, it makes us fall to zero. So the origin of the universe. Zero Point time but there does not exist in its real form: it, like we said before, is imaginary. This means that the evolution of the system will not be more real, as in our world, but imaginary, as in the information world. When we explore the quantum world, we were on the surface of the sphere. Now we are always on the surface, but the ball has undergone three spectacular change. The first change is that it is continuously deformed by the quantum storm. The second change is that its internal is no longer the same. Because the direction of time that it has ceased to be contained "complex" to become a line of pure imaginary time, that is a new real line: a fourth dimension of space. The third change that is disappearing, the line of time has not only made our ball completely "static", but it has also removed the scale. Now, since we can walk into what previously was a volume, it is no longer a sphere but a bubble, a bubble closed with a "board", and the edge is simply the sphere S3. This time, though its interior is "full" is the fourth dimension of the bubble. The latter, despite its four dimensions, has no size defined: it is impossible to determine what measures. Seen with our eyes, is nothing but a "point": that of Friedmann, Hawking. But seen from there, the point becomes a bubble of radius limit. Among other things, the bubble is equivalent to a foam, conversely, when the bubble "collapses" to a point, gives rise to a point with four dimensions. Inside the bubble singular, we are in a "bouquet of spheres," an unlimited series which starts from zero and goes to infinity. Now, on each edge of each bubble, there is information, a certain state, a picture of the universe. It is as if we were inside a soap bubble, with his feet on the south pole of the bubble. Then you will see an infinite number of bubbles in transparent, with each of the images on the surface. On a side note, the picture is slightly different to infinity. In this research, was used as a mathematical tool, a "partition function". On a zero, the function "falls" on a topological invariant, which is just 1. This figure tells us that at time zero, the universe is necessarily reduced to a point. But since this is topologically the same thing as a bubble, this means that our invariant "rolls out" all the balls as possible from zero to infinity. This is what in statistical mechanics we define "excitation of all possible states of the system." Here, all states are unique blister on his board, ie on the infinite number of spheres. And so, from our point Zero see the whole universe. Each ball contains an image property. Yet, if we pass from one sphere to another, from one image to another, here everything is in motion, it evolves: an evolution in imaginary time. It is clear then, as all bubbles up to infinity are equivalent to zero, that everything is encoded in the zero. Just as in mathematics, the Lorentz symmetry group (the one that describes our space-time) is the extended form of the symmetry group of compact, Euclidean, which governs the transformations of the sphere, the spacetime in its dynamic is nothing but the extended the original shape of the bubble. To reach our zero-point, we had to cross three very different worlds from each other, from our world, what we are used and in which we live, we went down to the Planck scale to discover a very different universe, an environment chaotic quantum torn by the storm, where the notion of "distance between points, ie the metric becomes complex. Finally, the scale of 0 we have entered a universe in Euclidean spaces: the quantum storm has ceased, and that world is apparently calm. Property forever as a photo, a film projected image after image to infinity, an infinite number of screens on gradually larger. A film that contains all the images at the same time. Take a DVD containing a movie, the true contents of the disc can not be reduced finally to information? This information will become readable and interpretable only when it will be decoded in time and order, by the reader (and us). So, the story of the film will become comprehensible to us only when we will start watching the movie at the end. But what about this "story" when, after seeing the movie, remove the disc from the player? Curiously, it is always "there", which is stored on disk, with its scenes, the characters and situations. But it's just pure information, global, outside of time, outside time: the whole story and the DVD from start to finish, in its entirety, but its evolution, its transformations, can only be in a purely imaginary time. Therefore, the information does not depend either on time or space: it is outside of our physical reality. It does not take even a certain volume of space, so as it does not take a certain period in time. Already several decades ago, they began to understand the relationship seemed to exist between the entropy (degree of order of a system) and information of this system. And it was found that one is the inverse of the other: the more entropy is low (the entropy is a measure of disorder in the system), plus the information contained in the system is high. Returning to the DVD, this is only visible and consistent with the degree of order information that composes it, and that is contained on the disk. There is a close relationship between the laws of information, those and the entropy of thermodynamics. The report is easy to understand: in the life of every day, every minute, we transform energy into information. In other words, we transform real time (energy) in imaginary time (information). What we call information can not, strictly speaking, exist only in an imaginary time. More exactly: thus, according to the laws of thermodynamics, the entropy of a system exists in real time, information that characterizes the system that exists in imaginary time. While the real time leads, with the energy and entropy, the transformation of a system, the imaginary time by his door, with an entropy nothing, its information system. We may hold information, we can pass it, multiply it to infinity, and it does not evolve: it is essentially invariant (ie, outside of real time). To cross the real time is always the same information, which really does exist in a purely imaginary time. In math, we will say that information is a topological invariant. What we call imaginary energy (which by definition is static, as it exists in an imaginary time) can be considered equivalent to information. Erwin Schrodinger, asked: where does the universe? How can we understand life? To respond, the great physicist was based on an absolutely fundamental principle: the second law of thermodynamics. It argues that in a closed system (as is the case the universe), what we call entropy can only increase. The entropy measures the amount of uncertainty that characterize a system: the more uncertainty is higher, the entropy is large. If we say that the universe entropy (disorder) is increasing, it means that the zero must be zero. To understand why the zero entropy vanishes, one has to "stretch" the second law of thermodynamics in complex time. The famous Schrodinger wave equation is exactly the same invented a century before by Joseph Fourier, who bears the intriguing name of the heat equation. The latter describes the diffusion of heat into space while the Schrodinger equation (similar to it in minute detail) shows the evolution of what he calls the wave function of a quantum phenomenon. Compare these two equations we see, to our great interest and wonder, that the heat equation is nothing but the Schrodinger equation, but written in imaginary time (and not in real time). On the basis of their common points, was made a sort of synthesis of these two equations. In doing so, it was possible to reformulate the problem of evolution of spacetime at the Planck scale. And in this new framework, the most important discovery about the value zero at time zero entropy. Beyond the Planck scale, the time is no longer real but complex (meaning that real time is necessary to add an imaginary time). What has happened since the second law? It must simply be reformulated in complex time. Begin by considering the new form taken by entropy when it is described in complex time. What do we see? In essence, two things: one concerns the origin of the universe, the other end in his future far away. About the origin, we have previously said that the zero-scale real-time disappears, and there is only one pure imaginary time: an invariant (ie, an integer) we can put as equal to unity, ie 1. The entropy equation is then reduced to the simple form of the logarithm of 1, namely zero. How to interpret this result? Of course, as follows: at time zero, the entropy of the space-time is nothing. And consequently, the information that characterizes the pre-space-time is infinite, because the information should be considered as the inverse - more precisely, the dual - entropy. We can find the same result in reverse thinking: what happens when the entropy becomes nothing? The extended equation immediately provides the solution: real-time needs to be replaced by an invariant, namely the pure imaginary time. The conclusion to be drawn from this is that the zero space-time emerging in a state of perfect order, was nothing more than pure information, immersed in imaginary time. And for the distant future? Certainly the world will not escape the inexorable degradation. However, in that era the entropy is not unimaginable infinity. In fact, once the last atom of matter evaporated (must pass a number of years equal to 10 raised to the billionth power) changes will be accomplished, leading to its end. This means that real time will become extinct along with that last atom. The moment the last moment will vanish in eternity, along with that last atom lost in the infinite, the entropy will again be zero. It will reappear at the same time, in all its fullness, the imaginary time. In fact, from the time when a variable is fixed to become a pure state, a topological invariant, then it ceases to evolve that state can be described only in imaginary time: it becomes a pure information. If we consider the light cone, the cone is the space-time, and outside it, the so-called "Elsewhere", which unfolds in the imaginary time. In this future in which energy and matter no longer exist, there is more light and, consequently, there is no longer the "cone" Elsewhere there is only crossed by the flow from zero to infinity of the topological imaginary time. Such is the fate of our universe: it was the other side of the imaginary time in the form of readable information in an equation (the index of singularity), that's all evolution has led him to rediscover the end of time, bottom unfathomable to a cycle, the same invariant, that information that pure soft light that gives life and meaning to the Being that overlooks nothing. In Einstein's relativity, there is a four-vector. This allows us to describe the difference between the energy of a system (which depends on the time) and its relativistic time (which comes from the spatial coordinates). When the speed of the system "than" the speed of light (as occurs at the Planck scale), the energy signature changes and becomes imaginary (and enters the Euclidean metric). In this case, the four-vector of Einstein is not a physical object, but a topological object, sheer quantity of information. It "lives" in imaginary time and energy is imaginary. It is in this sense that the information must be understood as real imaginary energy. What is the relationship between the singularity and all that precedes it? Simply that the zero-scale, ie the point, the entropy is zero. In this limit entropy 0, the system can present, simultaneously, all possible states. Entropy nothing corresponds to a distance scale anything to the system, entropy ovverossia point. And it corresponds well with what we might call "topological excitation of all possible states of the point." In other words, entropy nothing is equivalent to infinite information. "The zero entropy describes all possible states that can be defined for a system, however, regardless of the laws of thermodynamics." The zero entropy, therefore, can not be a property of a real system. This is an extraordinarily powerful property, which applies to those who are called "ideal systems, ie systems whose time evolution is pure imaginary. So, in its own evolution, the whole universe is a huge system that transforms energy into information. At zero scale, the universe is just information: it has no size, does not occupy any space and its Evolution does not happen in real time, but in imaginary time. Throughout the "period" cosmological place between the zero-scale and the Planck scale (ie between time zero and the Planck time), the pre-universe does not undergo any real change made parametric by real-time evolves, simply, complex time. It's just far beyond the scale zero, ie the Planck scale, the evolution ceases to be imaginary, oscillates in the complex plane and becomes real in that moment, and only then, begins the Big Bang "physical". And with it, the real-time. From then on, the information "global" that prevailed at time zero, knowing only the imaginary time, the information contained "whole story" of the universe, from its birth up to the unfathomable future, enter the time, it becomes "local" in the real world and it was subjected to long development that will allow the physical universe to find, little by little, over the billions of years, the complexity of the original beginnings. Since the Planck scale all physical fields (curvature, temperature, energy density) of the pre-space-time tends to infinity, it is possible to consider the structure of the initial singularity in terms of topological invariants. This research allows us to highlight the origin of the pre-space-time, the existence of a topological index (ie an invariant) which has been called the "singularity invariant". It is a kind of formula that "encodes" the three fundamental symmetries relied upon when the universe was still a simple mathematical point. This formula can be read as: "trace (- 1) ^ s = 1. The "s" represents the "figure metric", ie the different possible states of the metric of space-time, while the trace is the sum of (AC) on all metrics. We see that the topological limit, the sum of all possible states of the metric reduces to the number 1. This number is what is called a topological index, which shows exactly the shape of the universe at time zero. This index is defined by mathematicians "Euler characteristic". Number 1 is the characteristic of the point and, more generally, of a bubble. Consequently, at time zero, the bubble that represents the pre-spacetime to 4 dimensions has zero radius. What's more, that point is the source of a "current topology such that the bubble radius zero is subject to expansion from zero to infinity. This is, in the very early stage non-physical expansion of our universe before the Big Bang. Finally, the topological invariant is essential that describes the three symmetries existing at Ground Zero: the symmetry between time and space, the symmetry between the real and imaginary, and finally, the symmetry between zero and infinity. The so-called "transition TF (ie topological transition from the physical state) can be explained in terms of" splitting "beyond the Planck scale, among the" current topology (which is a pseudo-evolution of the pre pure-universe in imaginary time) and the physical flow (which describes the evolution in real time). It's an evolution that, in an area, does not maintain the "rules" - the length or scale - of what space. It was thus proposed that the space corresponding to a Euclidean metric is necessarily subjected to an "expansion" of its rule, in other words that they obey a transformation "not uniform" corresponds to an evolution in imaginary time (which is also called " Euclidean evolution "). Based on this idea, it was proposed that the breakup of the KMS state "by the (pre-) space-time beyond the Planck scale is such that the supersymmetry breaking on the same scale. This approach is essentially "dynamic" to the supersymmetry breaking in the sense that, as points out the famous mathematician Alain Connes, von Neumann algebras are objects fundamentally "dynamic". You can show how the mathematical equation representing the equilibrium state of a system is in fact strictly equivalent to a new equation, which describes the evolution of the same system in imaginary time. To summarize: the solution "topological" the singularity implies that the zero-scale pre-space-time interaction was bent on a "point" with Euclidean metric. At this point, accessible only through the theory of topological fields, you can see that the signature of the metric is positive definite, in other words, the coordinate time is generally purely imaginary, ie behaves exactly like a fourth dimension of space. We are now going to describe the relationship between zero and infinity. First you say: it contains zero to infinity, in the same way the initial singularity contains the entire universe. We note that the zero and infinity are linked by a very strange relationship. If you divide a number by infinity, you will get zero on the other hand, multiplying any number by zero, you will never achieve a result different from zero. The same applies to the infinite, by taking a random number (very small), and multiplying it by infinity, you will get the infinite. We will say the following reports: n / ∞ = 0, n × 0 = 0, n × ∞ = ∞. In short, what you can clearly see that the zero is in some way, is the dual of the infinite. Another "thing" where we find mathematical relations between zero and infinity is the "Riemann sphere." The genius mathematician Riemann showed that adding a point at infinity "in excess of a complex plan" that same plan is transformed into a sphere. The origin (zero) is thus the south pole of the Riemann sphere and the North Pole is, quite simply, the infinite. By studying more closely the ball, you come quickly to remark: not only zero has a relationship with the infinite, but in a sense, seems to generate. Even in the rational numbers (fractional), we find the connection between zero and infinity. The rational numbers extending from zero to infinity on the real line. The most interesting thing about these numbers is that "the number of rational is zero." They do not occupy any space on the real line because we can always be found, along with a number as small, a number even smaller. And adding all those numbers, the series that is formed shall, as a result, zero. What is the limit of a series of numbers that become progressively smaller, ad infinitum? Is zero. In mathematical language, we say that rational numbers form what is termed a "dense set" even if the entire line of rational numbers is saturated, strangely, they do not occupy any space (or rather, they occupy only the zero). We know that the zero-scale, the universe has no more physical content, has a purely mathematical content. Because the Zero is a mathematical object, its "evolution" is also math. The only way to describe this "dynamic of the Point Zero" is changed then only the use of mathematical methods. Singular state (represented by the point source) has no reason to evolve by itself. There is necessarily a mathematical engine. The secret of the early evolution possible, the secret of the Big Bang exploded freezing cold to Planck's Wall and beyond, that code both primordial and final, we'll find it at zero. So the zero is in duality relation with the infinite and has the strange power to generate it. How can 'something' - in fact, an infinite - spring from nowhere? The great mathematician George Cantor "felt" that consists of all those infinite numbers conceivable that one came from a source, a number nothing that focused all the mysteries: zero. The zero has the power to generate the number 1. Since we have only zero, and nothing else, the only operation that will be achievable: raising zero to the only available power: this power is necessarily zero. The theory shows that zero raised to the power zero is equal to one. We can achieve the same result by calculating what mathematicians call the factorial of zero. The factorial of an integer is simply the product of positive integers less than or equal to the number given. As in the case of zero leads to an "empty product", for construction, the factorial of zero (which is written to 0!) Is equal to 1. Zero can generate all numbers, whether real or pure imaginary. Let's see how. Consider just the symbol purer than zero, which in set theory is "the empty set." The empty set is equal to zero, by construction. The empty set is defined as "all original". In mathematical terms, it is said that the cardinality (ie the total) of the empty set is nothing original. So we have the empty set and zero, which is equal to the empty set. We have zero inside of the empty set: our set is not empty, contains zero or one element. The cardinality of is not zero, but one. Take the number 1 thus created and place it next to zero, in that group which was initially empty. But this means that together, now, there are two elements. The cardinality is 2. And so we have created the number 2. And number three? The method is the same, and then we put next to his three predecessors in all original. Do the same for the following units to infinity. Starting from scratch, and then out of nowhere, we have just recreated the set of all natural integers. And what is true for integers can also be used for all other families of numbers: rational, irrational, pure imaginary, all without exception, can be generated from zero. To infinity. The zero is a real number, imaginary numbers, however, represent an extension of real numbers. At zero scale of space-time there are still five, but only four dimensions: the four-dimensional space corresponding to the four sets of real numbers (integers, rational, irrational, and real-world). In fact, the fifth dimension (which brings with it the time) appears "after". Let us return to our four-dimensional bubble. When its radius is zero, it is nothing but the zero point. We must understand that this bill gives us the geometric image of the four families of real numbers. The call because of the bubble numbers. The bubble has a radius of the numbers zero and is reduced a simple point. This is the situation at the origin, when there is only zero. What happens from there? Something that is encoded in the same zero: the phenomenon affaascinante we've seen before and which generates, in a natural, all real numbers. So where to move the numbers? Obviously, in the four directions of the bubble and it generates four lines from the origin marked as zero. The expansion of the zero and the development of the four families of real numbers in four dimensions could then be compared to a "scaling" of the original bubble, we see a swell As the numbers grow. This change of scale, in fact, it is easy to be displayed, because it is simply the growth of the radius of the bubble in four dimensions. The Dirac delta function, has the particularity to be zero everywhere except at a point where it becomes infinite. The "area" covered by the graph of this function is a topological invariant of a 1. We turn to the conditions prevailing in the vicinity of the singularity: it is a point (and therefore occupies a space void) characterized by a "track", namely a topological invariant of a 1. It is possible that the singularity at the origin can be described simply by a delta function? This function has no support, that is nothing everywhere except on the singular point, where it becomes infinite for a moment zero. This brings us then to imagine the initial singularity as a "signal" of infinite extent. Point for construction, it propagates upwards in a range of real-time zero. In other words: the original point spreads upwards in imaginary time. Zero Point is a mathematical entity, information that can be entirely described by what we call "algebra". More specifically, the initial singularity is itself an algebra, von Neumann algebra, and algebra discovered by the great mathematician objects are essentially dynamic. It is this dynamic to make the original algebra, the first engine of the "Big Bang cold", the initial phase of expansion of the universe that occurred at time zero, before the Big Bang. Let's go back to zero: the digital image of the institution more mysterious is a simple point. By definition, this point is in a state which clearly defines the natural state of balance. " In this study it was shown that the state of equilibrium of a system is exactly equivalent (from a mathematical point of view) the evolution of that system in pure imaginary time. In other words, the equilibrium state of Ground Zero (which here represents the initial singularity) can be considered equivalently as its evolution in imaginary time (this development is defined "current in imaginary time" or "topological flow"). At zero scale, space-time was necessarily "in a state with a dynamic topological Euclidean." "Down", zero, there is an evolution governed by the delta function and that 'zero evolution "takes place only in imaginary time. In real time, the evolution of any system is described by an algebra in quantum mechanics is defined algebra of observables. In this research it was shown that there is another possible algebra, which has been called "algebra of states": it corresponds to the algebra of observables, but is calculated in imaginary time. The algebra of states describing the evolution of our system in imaginary time. This means that our point (which represents the initial singularity), instead of evolving in real time is subjected to a "change of scale" from zero to infinity in imaginary time. Since our zero-point can be represented as a bubble of size 4 and radius zero, its evolution in imaginary time is given in a natural way by the expansion radius from zero to infinity. Starting from the algebra of the initial states of the Zero Point, this evolution is governed, in depth, from what mathematicians call "flow of weights" of the algebra in question. The flow of weights (which also represent a current purely algebraic) is actually equivalent to the flow of evolution of the system in imaginary time. From a physical point of view and mathematical quest'inevitabile evolution in imaginary time can be conceived as what experts call the "expansion of the heat kernel. At zero scale, the starting point, the value of this nucleus is maximal: it is equal to 1. This "core heat "naturally tends to zero. The fall of the values \u200b\u200bof the heat kernel necessarily imply the expansion of space on which it is calculated, it will be clear that "cooling" to zero, the core of the heat causes the expansion (and therefore the change of scale) of the initial bubble void radius (which we had previously defined bubble of numbers). The singular point (corresponding to the vertex of the cone of light) is an object that defines the physical mathematical instanton zero length. The energy dell'istantone is imaginary. This unique "pseudo-particle is characterized by a kind of abstract charged that the experts called" charge topology and is invariant. One could compare this post to a quantity invariant information, such as that contained in a DVD, to borrow an example previously mentioned. At Ground Zero, there is a "potential topological" (described by the delta function), it propagates to infinity the topological charge dell'istantone initial zero length. Zero Point can thus be seen as an infinite number of instantons of zero size collected on a single point (a little 'as millions of books are now compacted into tiny grooves on a DVD). Similarly, a multitude of overlapping instantons are located at Zero Point, giving infinite wealth in terms of information. More precisely, the topological charge density, which increases with the number of instantons becomes infinite here. And here lies the secret topological expansion that preceded the physical expansion of the universe to find its ground state (corresponding to a density of topological charge at all), the radius dell'istantone must become infinite. Here too, we find again that "algebraic law" that pushes the zero to infinity. How can we conceive the birth of time? As the golden spiral of instantons takes place, new figures make their appearance, starting at 0, then 1, then 2, etc ... to infinity: the radius of the bubble changes, so that it grows and gives rise to a tremendous expansion. And infinity, the radius is infinitely large. Like soap bubbles of all sizes, the balls spread to infinity, driven solely by the dynamics of real numbers. Large or small, the bubbles are there, all at the same time, all equivalent. When the bubble grows and its radius becomes infinite, this means that its rim is infinitely removed from the center (the point representing the origin). Viewed from the edge, the center is so far from being disappeared by removing the center we have deleted in one fell swoop the entire interior of the bubble. This is because a bubble is what topology is defined as "connected space" and any point taken from the inside therefore has no scale can be "great" as the bubble itself. Accordingly, once removed the center of the bubble is only the edge, namely the three-dimensional sphere we call S3. The interior of the sphere does not exist anymore: it has become imaginary. As with the normal sphere S2 (a football) the interior was the third dimension of space, in the case of S3 we took the inside was nothing but the fourth dimension. Does this mean that the fourth spatial dimension of the bubble has become imaginary. But what is a dimension of space imaginary? Quite simply, is the size of real-time. Inside the bubble in four dimensions, the fourth dimension of space has been replaced by the only direction that could be "the bubble" without any space to occupy, the size of real-time. By removing our point on the radius of the bubble, it has turned on itself 90 degrees inside, making an imaginary straight line (the time, which we know is measured with imaginary numbers). From here onwards, the instantons (which are compact objects, which closed on themselves) disappear. Similarly, the symmetry group that governed them (the group SO (4), also a group Compact) "explodes", it loses its fundamental symmetry and suddenly opens up SO (3.1), ie the group of Lorentz symmetry, not compact, the group of space-time, what allows us, at any time, to measure the changes in real time. It is therefore by the 'explosion' of the Euclidean metric which arises Lorentzian metrics: one in which we remember the past and the desire of the future. Finally, remove the bubble numbers mean open it in a direction of time. It means, that is, bring it to no longer be static (closed in the direction of imaginary time), but make it dynamic (open in the direction of real time). When we remove a point in our bubble, it "changes of scale: the real-time begins to do its work and the numbers are added to the other without stopping. The result is that the bubble grows and we see the numbers grow, change of scale at every moment: the time is now born. The amazing phenomenon that has just been described thus shows how the infinite imaginary time, real time arises. And when the time is "open" that begins the famous "swing of the metric" between real time and imaginary time: time is the era of "complex" in which space-time evolves in five sizes, both real and imaginary time . You here, compared with zero to infinity, which is the phenomenon of "de compaction" of the time: the physics defines that moment, "Planck time" (or Planck time). Only at that moment begins the final stage: the imaginary time is gone, the imaginary energy is converted into real power and the "hot Big Bang" starts off. With it, began the expansion of the universe, that only happens in real time. This, then, the amazing power of zero, its fascinating mystery: deploy all the information it contains, in numerical strength. And if we suppose that the point of singularity is nothing but the image zero, then the representation of "geometric" of what we just saw the expansion has enabled us to assist cold, silent, original ball from zero to infinity. An expansion that, in view of what has just seen is not only natural is inevitable, inscribed itself in the existence of zero. This is the first secret of the Big Bang, the one that made the transition from zero to infinity screened on the Wall of Planck. A Big Bang cold and dark, thanks to which there was something out of nothing, through which the infinite has blossomed from zero. And being from nothing.

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