Verlinde's Entropic Gravity
Mass M
1.0
Test mass m
0.1
Screen radius R
3.0
Bits on screen N
113
F = T·ΔS/Δx
Holographic screen: N = A/4ℓ²_P
Entropy change: ΔS = 2πk_B Δx/ℏ
Unruh temp: k_BT = ℏa/2π
→ F = GMm/r² (Newton!)
E = ½NkT (equipartition)
Mc² = ½Nk·T_screen
Verlinde 2010, arXiv:1001.0785
Verlinde 2010 · entropic force · holographic principle · information = gravity