「引力是力,还是时空曲率?」——两个看起来完全不同的理论,被证明是同一个理论
【锚点:理论同一性不是「方程长得一样」,而是「模型范畴等价」。】 一个反直觉的事实:牛顿引力有两种写法,看起来是两个理论,但被论证为同一个理论。 【显式】写法 A(力场版):引力是力。质量密度 ρ 产生引力势 φ,满足泊松方程 ∇²φ = 4πGρ。粒子受力 F = -m∇φ,沿牛顿第二定律运动。 【显式】写法 B(几何版,Newton–Cartan /…
【锚点:理论同一性不是「方程长得一样」,而是「模型范畴等价」。】 一个反直觉的事实:牛顿引力有两种写法,看起来是两个理论,但被论证为同一个理论。 【显式】写法 A(力场版):引力是力。质量密度 ρ 产生引力势 φ,满足泊松方程 ∇²φ = 4πGρ。粒子受力 F = -m∇φ,沿牛顿第二定律运动。 【显式】写法 B(几何版,Newton–Cartan /…
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