【禁断の数学】虚数とは何か?“存在しないはずの数”が宇宙を支配していた|電磁波・相対論・宇宙論にも潜む“i”の痕跡

[Lecture Transcript] Click here for the full text version of this video (for review) 👉https://note.com/astrence/n/nb1baf560... Next video here!    • 【思考の禁断領域】”無限”は本当に存在するのか? 数学・物理・脳科学が示す“世界の限界”   What are imaginary numbers? Imaginary numbers, known as "mysterious numbers that become negative when squared," are actually an important concept underlying modern science, including quantum mechanics, electromagnetic waves, relativity, and cosmology. In this video, we'll explain the following topics in an easy-to-understand story format, making them accessible even to those who aren't adept at math. Why did imaginary numbers come into being? Why are they essential for representing "rotation" and "waves"? The true meaning of Euler's formula and the complex plane. Why imaginary numbers are always necessary in quantum mechanics. Are imaginary numbers "real" or "a shadow of the universe?" ... How can a "number that shouldn't exist" describe the universe so accurately? Understanding the true nature of imaginary numbers will surely change the way you see the world. If you found this video helpful or interesting, please support us with a Super Thanks! It will be a great encouragement for our future activities! 🔔 Subscribe here We're seriously unravelling the mysteries of astrophysics! ▶︎Subscribe to    / @astrence   and begin your next exploration. ✉️ We look forward to your thoughts and comments! What did you imagine? Chapter 00:00 Introduction ―――――――――――――― 🌌 [Recommended Related Videos]    • 【衝撃の事実】ビッグバンは始まりではなかった!? 宇宙誕生の深淵に迫る      • 【完全理解】光の正体とは何か|考えたことある?驚きの真実とは?      • 時間は存在するのか?相対性理論と量子論が示す衝撃結論      • 世界を支配する「電子」の謎を完全解明!スピン?波?粒子?驚きの真実とは?   ―――――――――――――― Some images are taken from Wikipedia. #ImaginaryNumbers #Relativity #QuantumMechanics #Mathematics #Universe #MysteriesOfTheUniverse #ScienceExplanation #SpaceExploration #ASTRENCE

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[Forbidden Zone] What is a Singularity? | The moment physics "stops thinking" - The shocking reas...

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What Is Disrupting GPS Over Europe?

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The Greatest Unsolved Problem In Mathematics

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中学数学からはじめる複素数

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🧠 BRAIN: At least 9 times nature invented a complex brain — and each time differently

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ベルの不等式とは何か(CHSH不等式)

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虚数解は四次元空間に存在する!?数学の不思議な世界

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Why Does Light Have Energy Despite Having Zero Mass? Exploring the True Nature of Mass

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【数学史最大のミステリー】フェルマーの最終定理はなぜ証明不可能と言われたのか?

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Why AI Can Never Escape Turing's 1936 Proof

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【全解説】小学生でも分かる微分積分【ゆっくり解説】

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The automotive industry is on the brink – is "Made in Germany" about to disappear?

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What quaternions, the four-dimensional numbers, look like

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なぜ音階は「12」なのか?数学で解説(ときどきプログラミング、Python)和音の不思議を三角形で解説!ピタゴラス音律と平均律など音楽を数学でわかりやすく解説。1オクターブが12音階の理由。

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Star Wars: Reverse Perspective is Too Hard... Star Wars from Palpa's Perspective | Star Wars Comm...

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Physics Ran an Experiment on TIME — The Results Don’t Add Up

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Why the Planck Length May Be the End of Physical Reality