Act 462. Inside the light cone
World Line? Light cones?
Having been a high-level mage for so many years, Broly. For the first time, Augustine had the feeling that he couldn't keep up at all, and although Reiner's statement was already intuitive with the moving point of light presentation, it was still difficult to get Augustine to embrace a new concept so quickly.
"To put it simply, Excellencies, if we can clearly know the current position of a particle and its trajectory, then we can naturally deduce its position in the past, present and any time in the future, and this position is connected, which is a line, which is the world line of this particle, the world line points from the past to the future, and the specific coordinates are presented in real space."
Seeing that everyone was still a little confused, Reiner drew a three-dimensional Cartesian coordinate system, with a point starting from the origin and moving in one direction, showing a clear trajectory.
"For the sake of understanding, we can ignore the situation of real space and assume that there is a two-dimensional world with only planes."
With a wave of Reiner's hand, the three-dimensional Cartesian coordinate system suddenly became a plane Cartesian coordinate system, and a point moved in the plane, drawing a curve.
"If we change the original vertical axis Z to time, then the trajectory of this point will show three-dimensional characteristics, and this will also appear in the three-dimensional coordinate system, but the axis of time is not what we are looking at."
"You mean high-dimensional space?"
Lord Braggs looked at Reiner's presentation and said in a deep voice.
"It's so simple to understand, Lord Braggs, in fact, I prefer to call it the Ian Gray space, because this is not simply a space with one more dimension than length, width and height, but a space-time composed of time and space."
Reiner smiled, and then he did the calculations and arguments to deduce in detail the Ian Gray space and how the world lines would appear in the Ian Gray space.
"This could be another paper, Reiner."
President Dmitry bowed his head slightly after listening to Reiner's deduction.
"Ian Gray space is not an independent theory, but a knowledge closely integrated with the theory of relativity, I thought you only solved the problem of the speed of light, but I didn't expect that you subverted the entire concept of time and space that mankind has had since ancient times."
Whether time is not absolute, or the speed of light is insurmountable, whether it is Reiner's theory of relativity, or this strange but harmonious Ian Gray space, these are things that are contrary to people's past experience, intuition and common sense, but have a mathematical basis.
After this meeting, the senior mages present realized the importance of mathematics in the study of magic, as people study more and more deeply, magic will no longer be limited to what people can see and touch, whether it is macroscopic nebula changes, or microscopic atomic dispersion, these are extremely difficult to directly observe with ordinary means, not to mention some extreme cases that cannot be achieved by current means, even in the future, it is impossible to carry out experiments. Abstract thinking and mathematical logic will gradually become the mainstream of mage's research.
Perhaps this is the fulfillment of Reiner's previous words, mathematicians are responsible for discovering formulas, and mages are responsible for finding meaning for them.
"Now it seems that Alberton's three laws of motion are more like the low-velocity, macroscopic approximation of motion depicted in the theory of relativity, at least in the rotation of the stars, and most of the things we can touch, these three laws still apply."
Lord Alberton let out a long sigh, sighing with mixed feelings, not knowing whether it was because his life's work had been proven to be untrue, or because he lamented that the current magical system based on it did not need to experience a devastating earthquake.
But when this sentence came out of his mouth, it was indeed quite bleak and helpless.
Ludwig. Stein was silent, but a storm had already stirred up in him.
In the two dark clouds hanging over the heads of the wizarding world, the problem of blackbody radiation eventually led people to re-understand light from a microscopic perspective, while the aether drift problem led mages to redefine time and space from a macroscopic perspective, and these two seemingly completely different fields of problems actually pointed to the same thing in the end.
Coupled with the proposal of the nuclear structure model, the movement of the huge stars is linked to the small atomic movement, which makes people infinitely reverie.
"We are in the worst of times, where the past millennia of knowledge is falling apart, experience and common sense are shattered, and if we are not careful, we will be left behind by the rapidly developing magic."
The stars and moon on the robes shone brightly, Lumia. His Excellency Calvados said softly.
"But we are also in the best era, where micro secrets can be spied on, macro truths can be traced, and thousands of years of accumulation guide us to continue to move towards the end of exploration."
Her words are also the voice of many people here, and the mages are extremely uneasy, because any discovery may subvert the past cognition and destroy the academic tower that has been forged for many years, but at the same time, the mages are extremely looking forward to it, because the dissipation of the two dark clouds, people have taken a major step forward in the micro and macro realms, and the mages are closer than ever to the truth in the search, and hope is close at hand.
"Only, Reiner."
Lord Braggs spoke, looking at Reiner, his wise navy-blue eyes reflecting the young mage's handsome face.
"The content of the theory of relativity is too impactful for middle-level mages, which is different from the dispute between the wave theory of light and the particle theory, after all, that war cannot be separated from the category of waves and particles anyway, and the concept of time and space in the theory of relativity, the shrinkage effect and the time dilation effect, if it is known by the middle-level mages and some high-level mages without foreshadowing, it is likely to lead to a huge cognitive impact, resulting in a large-scale cognitive collapse, which will cause a real academic earthquake."
What he said was exactly what Reiner had in mind, that the subversion of the concept of time and space by the theory of relativity was not simply a further step, but a complete break and recombination, which was extremely dangerous for mid-level mages who did not understand it thoroughly and did not study it in depth in this field.
"So, although the High Council acknowledges the correctness of the theory of relativity, my suggestion is that this theory and this paper will only circulate among the High Mages for the time being, and will not be published in any open academic journals, until our theory is gradually perfected and then opened to everyone step by step, what do you think?"
His Excellency Braggs' opinion was very reasonable, and there were no objections.
Reiner didn't care about these reputations, and he only had one thought in mind now, which was to complete the third equation as soon as possible.
Mass-energy equation.