Changes between Version 2 and Version 3 of u/JCFeb0713

Timestamp:

02/07/13 14:33:34 (12 years ago)

Author:

Jonathan

Comment:

—

u/JCFeb0713

@@ -5 +5 @@
 
 == Abstract ==
-Starting from 
-1st principles and general assumptions Newton's law of gravitation is shown to arise naturally and unavoidably in a theory in which space
+Starting from 1st principles and general assumptions Newton's law of gravitation is shown to arise naturally and unavoidably in a theory in which space
 is emergent through a holographic scenario. Gravity is explained as an entropic
 force caused by changes in the information associated with the positions of ma-
@@ -15 +14 @@
 
 
+== Basic Idea ==
+ * Laws of Newton lead to Black Hole Thermodynamics and the holographic principle
+ * Holographic principle must lead to Newton's laws
+ * Newton's law of Gravity (and Gravity in general) is an emergent phenomena much like Hooke's law
+
+== Gravity as an entropic force ==
+
+[[Image(JC1.png)]]
+
+[[latex(S(E,x)=k_B \log \Omega(E,x))]]
+
+[[latex(Z(T,F)=\int dE dx \Omega(E,x) \exp{-\left(E+Fx)/k_BT\right)})]]
+
+[[latex(\frac{1}{T}=\frac{\partial S}{\partial E})]]
+
+[[latex(\frac{F}{T}=\frac{\partial S}{\partial x})]]
+
+
+== Assumptions ==
+ * Space has one emergent holographic direction.  
+ * There is a change of entropy in the emergent direction
+ * The number of degrees of freedom are proportional to the area of the screen
+ * The energy is evenly distributed over these degrees of freedom.
+
+
+
+