Euler's Equation and the Physical Reality. =. a) Euler's Equation as a mathematical reality.
Euler's identity is "the gold standard for mathematical beauty'. Euler's identity is "the most famous formula in all mathematics". ? . . . this equation is the mathematical analogue of Leonardo da Vinci?s Mona Lisa painting or Michelangelo?s statue of David? ?It is God?s equation?, ?our jewel ?, ? It is a mathematical icon?. . . . . etc. b) Euler's Equation as a physical reality.
"it is absolutely paradoxical; we cannot understand it, and we don't know what it means, . . . . .? ? Euler's Equation reaches down into the very depths of existence? ? Is Euler's Equation about fundamental matters?? ?It would be nice to understand Euler's Identity as a physical process using physics.? ? Is it possible to unite Euler's Identity with physics, quantum physics ?? ==. My aim is to understand the reality of nature. Can Euler's equation explain me something about reality? To give the answer to this. question I need to bind Euler's equation with an object ? particle. Can it be math- point particle or string- particle or triangle- particle? No, Euler's formula has quantity (pi) which says me that the particle must be only a circle . Now I want to understand the behavior of circle - particle and therefore I need to use spatial relativity and quantum theories. These two theories say me that the reason of circle ? particle?s movement is its own inner impulse (h) or (h*=h/2pi). a) Using its own inner impulse (h) circle - particle moves ( as a wheel) in a straight line with constant speed c = 1. We call such particle - ?photon?. From Earth ? gravity point of view this speed is maximally. From Vacuum point of view this speed is minimally. In this movement quantum of light behave as a corpuscular (no charge). b) Using its own inner impulse / intrinsic angular momentum ( h* = h / 2pi ) circle - particle rotates around its axis. In such movement particle has charge, produce electric waves ( waves property of particle) and its speed ( frequency) is : c>1. We call such particle - ? electron? and its energy is: E=h*f.
In this way I can understand the reality of nature. ==. Best wishes. Israel Sadovnik Socratus. =. P.S. ' They would play a greater and greater role in mathematics ? and then, with the advent of quantum mechanics in the twentieth century, in physics and engineering and any field that deals with cyclical phenomena such as waves that can be represented by complex numbers. For a complex number allows you to represent two processes such as phase and wavelenght simultaneously ? and a complex exponential allows you to map a straight line onto a circle in a complex plane.'
/ Book: The great equations. Chapter four. The gold standard for mathematical beauty. Euler?s equation. Page 104. /
# Euler's e-iPi+1=0 is an amazing equation, not in-and-of itself, but because it sharply points to our utter ignorance of the simplest mathematical and scientific fundamentals. The equation means that in flat Euclidean space, e and Pi happen to have their particular values to satisfy any equation that relates their mathematical constructs. In curved space, e and Pi vary. / Rasulkhozha S. Sharafiddinov . / ===============?