ねこさんに聞いてみて

[Verse 1] 最も美しい等式 円周率　虚数 ネイピア数　+1 オイラーの公式が 無関係に見える記号を ゼロと結ぶ [Verse 2] 複素数の乗算 極形式 三角関数の加法定理 「オイラーの公式に似てる?」 あなたは式を指さして 訝しげに尋ねた [Verse 3] ネイピア数の無限級数 実数と虚数 三角関数の無限級数 マクローリン展開 「これが三角関数になるの」 あなたはため息をつく [Instrumental Break, intense piano solo 8 bars] [Chorus, melodic swell] 時間が進み　位相が変わる オイラーの目を通せば回って見える シュレディンガーの猫は 量子の世界で回る 時間を回る 「追いつける気がしないな 君がずっと先にいるからなのか ふたりが同じだけ進むからなのか わからないよ」って 軽いトーンであなたが嘆くから こう返したら面白いかも 「ねこさんに聞いてみて」 // English translation -- Why don't you ask the cat? -- [Verse 1] The most beautiful equation Pi, the imaginary unit, Euler's number, and one Euler's identity Ties symbols that seem unrelated Together with zero [Verse 2] Multiplication of complex numbers Polar form The addition formulas for trigonometric functions “Doesn't this look like Euler's formula?” You point at the equation And ask me, puzzled [Verse 3] The infinite series for Euler's number Real and imaginary numbers The infinite series of trigonometric functions Maclaurin expansions “So this turns into trigonometric functions?” You let out a sigh [Instrumental Break, intense piano solo — 8 bars] [Chorus, melodic swell] As time moves on, the phase keeps changing Through Euler's eyes, it all looks like it's turning Schrödinger's cat Turns in the quantum world Turning through time “I don't think I'll ever catch up. Maybe it's because you're always so far ahead of me, or maybe it's because we both keep moving forward at exactly the same pace. I don't know.” You lament it so casually that I think it might be funny to answer you like this: “Why don't you ask the cat?”