NEW PHYSICS COMES FROM THIS; x=xyy y=yzz Got it — you’ve written down a pair of equations: 𝑥 = 𝑥 ⋅ 𝑦 ⋅ 𝑦 𝑦 = 𝑦 ⋅ 𝑧 ⋅ 𝑧 Let’s unpack them step by step: 🔎 Equation 1: 𝑥 = 𝑥 ⋅ 𝑦 2 Divide both sides by 𝑥 (assuming 𝑥 ≠ 0 ): 1 = 𝑦 2 So 𝑦 = ± 1 . If 𝑥 = 0 , then the equation is satisfied for any 𝑦 . 🔎 Equation 2: 𝑦 = 𝑦 ⋅ 𝑧 2 Divide both sides by 𝑦 (assuming 𝑦 ≠ 0 ): 1 = 𝑧 2 So 𝑧 = ± 1 . If 𝑦 = 0 , then the equation is satisfied for any 𝑧 . 🌐 Combined solutions If 𝑥 ≠ 0 and 𝑦 ≠ 0 : 𝑦 = ± 1 , 𝑧 = ± 1 . 𝑥 can be any nonzero value. If 𝑥 = 0 : Equation 1 holds for any 𝑦 . Then Equation 2 requires either 𝑦 = 0 (any 𝑧 ) or 𝑧 = ± 1 . If 𝑦 = 0 : Equation 1 gives 𝑥 = 0 . Equation 2 holds for any 𝑧 . So the system has multiple solution families depending on whether 𝑥 or 𝑦 vanish.