Xavi can't prevent the goal from being blown away, Riemann Geometry can solve this La Liga goal-line algorithm technology!
In the 28th minute of the match, Lunin blocked Yamal's shot on the goal line, and the VAR determined that the ball did not fully cross the line. Since La Liga does not have goal-line technology, this goal-line case has caused a huge controversy.
The Spanish Football Federation published through its social media some of the recordings of the referees at the time:
Soto Grado (referee): "Oops, awful. For me, the ball didn't go all in. ”
VAR: "Let's verify, Cesar, please wait a minute, don't let them tee off." ”
Soto Grado: "Be patient. No, there is no goal-line technology. We'll wait. Wait for VAR to verify. Maybe it's a goal. We are reviewing. No, there is no goal-line technology. ”
VAR: "No more [shots]. Confirm there are no more shots, right?"
Soto Grado: "Let's not be in a hurry. It's better to wait. We have to wait. ”
VAR: "Cesar, we're going to resume the game with a corner, there's no evidence that the ball went in. Therefore, resume play with a corner. We don't have any evidence that the ball went in. Corner kick. ”
According to Archivo VAR simulations, a website dedicated to analysing and developing VAR technology in Spanish football, the ghost goal scored by Yamal in the current round of the national derby has essentially crossed the goal line completely and should be considered valid.
The website posted a simulated video, saying: "The ball went completely over the goal line, it was a goal. La Liga's lack of resources has cost Barcelona a perfectly legitimate goal. ”
The goal occurred at 1-1, and due to the lack of goal-line technology, the on-site decision could not give a clear goal-line drawing map, and the goal was ultimately ruled invalid. In the end, Barcelona lost the national derby 2-3.
Previously, BeIN Sports also conducted a simulated goal-line technical replay of the ball, and the simulation screen of BeIN Sports showed that the ball did not completely cross the line.
CANAL+ SPORT RECREATED THE GAME IN 3D WITH THE HELP OF AVAILABLE CAMERA FOOTAGE, SHOWING THAT THE BALL DID NOT COMPLETELY CROSS THE GOAL LINE.
Barcelona's goal-line case has sparked a discussion that La Liga has not introduced goal-line technology so far.
But it's possible that La Liga won't be spending money on goal-line upgrades next season.
As someone said: controversy is part of football, flaws and beauty.
Some people came to rub the heat, saying that La Liga doesn't pay for it, and I can sponsor it.
After the defeat, Xavi was stuck at the end of the season with all four of them and began to think about his next stop.
In his recent press conference, Xavi no longer strongly denied continuity at Barca. He has one year left on his contract with the club and is now reconsidering the possibility of leaving at the end of the season. Xavi will then meet with Joan Laporta, Juste and Deco to analyse the situation and assess what is the best decision for all parties.
Barça have continued to improve in recent months, which makes Xavi proud to see his project continue and there are plenty of great young players in the squad. Now Xavi believes the job can continue because he feels support from within.
Xavi has a good relationship with Deco, with Laporta and Juust also showing him support in recent weeks. At the same time, key players in the squad have expressed their desire to stay with Xavi, both privately and publicly, and fans have shown their confidence.
Xavi announced in January that he would leave his post at the end of the season, but Barcelona president Joan Laporta has publicly expressed his intention to keep him on several occasions.
According to the media, Xavi has asked for a meeting with the club's hierarchy to discuss possible retention, and Xavi wants the club to give assurances that he will strengthen the squad as he asks.
A total of 77,981 people watched the La Liga derby.
In the 91st minute, Dias shared the ball, Vazquez swept the goal with a low flat ball on the right side, Joselu deliberately missed it at the front point, and Bellingham, who followed up at the back point, outflanked the goal! Real Madrid led Barcelona 3-2!
At the same time, the fans chanted: "Harvey, stay!"
Real Madrid fans, of course, want Xavi to stay.
Real Madrid have seven more points to win La Liga, and there are currently six rounds left in La Liga, with Barcelona up to 88 points (70 points + 6 games × 3 points) and Girona up to 86 points (68 points + 6 games × 3 points). In other words, if Real Madrid (81 points) get another seven points, they will seal the La Liga title.
Such simple elementary mathematics is difficult for fans, but what Xavi needs is probably higher mathematical knowledge to help him stay at Barcelona, or leave Barcelona for the next stop.
Fans who are familiar with algorithms may talk about 3D technology and spatial geometry, Euclidean geometry, Roche geometry, and Riemannian geometry are three different geometries.
Riemann geometry was founded by the German mathematician Riemann. In his 1851 essay "On the Assumption of Geometry as a Basis", he explicitly proposed the existence of another kind of geometry, which opened up a new and vast field of geometry.
A basic rule in Riemannian geometry is that any two straight lines in the same plane have common points (intersections). The existence of parallel lines is not recognized in Riemannian geometry, and another of its postulates speaks: straight lines can be extended indefinitely, but the total length is limited. The model of Riemannian geometry is a spherical surface that has been appropriately "improved".
Euclidean geometry, Roche geometry, Riemannian geometry, all the propositions of these three geometries constitute a strict axiom system, and each axiom satisfies harmony, completeness and independence. Therefore, all three geometries are correct. Euclidean geometry is applicable in our space, which is not too big or small, not far away, that is, in our daily life; in the universe or in the world of atomic nuclei, Roche geometry is more in line with objective reality; and in the study of navigation, aviation, and other practical problems on the earth's surface, Riemannian geometry is more accurate.
In today's battle between Real Madrid and Barcelona, it is also a problem of spatial curvature on the earth's surface, is it more reminiscent of Einstein!
When Einstein proposed the special theory of relativity, he was primarily concerned with its physical properties and explanations, rather than with any mathematical construction. His former teacher, Hermann Minkowski, proposed the geometry of special relativity and described space and time as a single entity.
Thus, for his general theory, Einstein was unaware of the mathematical laws that govern the influence of the gravitational field around massive objects. Recently, I've been working on the problem of gravity. We've now reached a stage where I've got static data ready. I don't know anything about dynamic fields, this has to follow the next one... .. Every step is extremely difficult.
He came to realize that he had to abandon the use of a single scalar field to describe gravity and needed a new geometric language. To do this, he turned to his mathematician friend Marcel Grossmann, who works at the Zurich Institute of Technology, for help. He said, "Grossman, you have to help me or I'm going crazy." Grossman instructed him to look for the new geometry proposed by Riemann.
Riemann's new mathematical framework was an unexpected blessing for Einstein, as it led him to the conclusion that gravity is actually a consequence of the curvature of space-time. The greater the curvature of space-time, the greater the gravitational pull it is subjected to.
As Misner, Thorne, and Wheeler have summarized, matter tells space-time how to bend, and space-time tells matter how to move.
When Einstein realized that Riemannian geometry was an exact mathematical tool for general relativity, the next three years were the most difficult period of his research career. "I'm exhausted. But success is glorious," Einstein said in 1915.
Einstein was full of praise for Riemann's contributions, and physicists remained far from this way of thinking: for them, space was still a rigid, homogeneous thing, unaffected by any change or condition. Only the genius Riemann, lonely and incomprehensible, had already in the middle of the last century proposed a new concept of space, in which space was deprived of its rigidity and the power of its participation in physical events was recognized as much as possible.
Hans Freudenthal wrote in his biography that the general theory of relativity strongly justified his work. In the mathematics developed from Riemann's lectures, Einstein found a framework that fits his physical ideas, cosmology, and the origin of the universe. And the spirit of Riemann's speech is exactly what physics needs: a metric structure determined by data.
Newton said that all frames of reference that move in a uniform straight line with respect to absolute space are inertial frames. Einstein's theory of relativity does not have absolute space, so Newton's concept of inertial frames cannot be used in the theory of relativity.
In order to explain the non-inertial curve motion of the earth around the sun, Newton introduced the concept of gravitational force, saying that the gravitational force of the sun pulls the earth as a centripetal force. The problem is why there is a gravitational force between objects, and the reason has not been found.
Einstein noticed that the inertial force is proportional to the inertial mass of the object, a characteristic very similar to the gravitational force, prompting Einstein to solve the problem of defining the inertial frame together with the problem of gravity, and he speculated that gravity has the same essence as the inertial force. Gravitation is not a real force, but a manifestation of the curvature of space-time.
General Relativity is a theory of gravity established by Albert Einstein in 1915 in geometric language, which integrates the special theory of relativity and Newton's law of universal gravitation, and redescribes gravity as space-time bent by matter and energy in space-time, replacing the traditional view that gravity is a force.
General relativity explains: the earth is not pulled by gravity, but maintains inertial motion, because the mass of the sun bends space, the curved orbit of the earth is simply an inertial motion orbit, a short-range line in curved space-time (equivalent to a straight line in space-time). There is no straight line in a curved space, only the shortest line, and in a straight space, a straight line is the shortest line.
Riemannian geometry has found important applications in the general theory of relativity. In general relativity, gravity is described as a geometric property (curvature) of space-time, and gravity is explained as the curvature of four-dimensional space. This curvature of space-time is directly related to the energy-momentum tensor of matter and radiation in space-time, which is linked to Einstein's gravitational field equation (a system of second-order nonlinear partial differential equations).
The geometry of space in Einstein's general theory of relativity is Riemannian geometry. In general relativity, Einstein abandoned the idea of space-time uniformity, arguing that space-time is only uniform in an approximation in a sufficiently small space, but the whole space-time is inhomogeneous. This explanation in physics is similar to the concept of Riemannian geometry.
Einstein was most proud of the general theory of relativity. He said that if I hadn't discovered the special theory of relativity, someone would have discovered it in five years. If I hadn't discovered general relativity, no one would have discovered it in 50 years. Nearly a hundred years later, general relativity is still a highly active field of research. Undoubtedly, this is standing on the shoulders of giants.
Readers have already left the stadium swearing, just like a big fan who sees his home team beaten to the ground by the visitors.
On the weekend, I drank beer and came here with my friends to watch the game, but I was slapped in the face by the one I always liked, and there was no one in this anger.
Xavi is about to leave the field, La Liga is over, just like there is still no goal-line technology introduced next season, Xavi's math assistant has not yet found a spatial curved mathematical tool such as Riemannian geometry, and Xavi's football relativity theory will not succeed in La Liga.