| 16 | == Basic Idea == |

| 17 | * Laws of Newton lead to Black Hole Thermodynamics and the holographic principle |

| 18 | * Holographic principle must lead to Newton's laws |

| 19 | * Newton's law of Gravity (and Gravity in general) is an emergent phenomena much like Hooke's law |

| 20 | |

| 21 | == Gravity as an entropic force == |

| 22 | |

| 23 | [[Image(JC1.png)]] |

| 24 | |

| 25 | [[latex(S(E,x)=k_B \log \Omega(E,x))]] |

| 26 | |

| 27 | [[latex(Z(T,F)=\int dE dx \Omega(E,x) \exp{-\left(E+Fx)/k_BT\right)})]] |

| 28 | |

| 29 | [[latex(\frac{1}{T}=\frac{\partial S}{\partial E})]] |

| 30 | |

| 31 | [[latex(\frac{F}{T}=\frac{\partial S}{\partial x})]] |

| 32 | |

| 33 | |

| 34 | == Assumptions == |

| 35 | * Space has one emergent holographic direction. |

| 36 | * There is a change of entropy in the emergent direction |

| 37 | * The number of degrees of freedom are proportional to the area of the screen |

| 38 | * The energy is evenly distributed over these degrees of freedom. |

| 39 | |

| 40 | |

| 41 | |

| 42 | |