User:Chakazul/Equations

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= Equation of Everything =

minute physics
 * $$\mathcal{L} = - {1 \over 4} F^2 + i \bar \psi {D}\!\!\!\!/\ \psi + \bar \psi \phi \psi + h.c. + \left\vert D \phi \right\vert ^2 - V(\phi)$$

John Ellis
 * $$\mathcal{L} = - {1 \over 4} F_{\mu\nu} F^{\mu\nu} + i \bar \psi {D}\!\!\!\!/\ \psi + \psi_i y_{ij} \psi_j \phi + h.c. + \left\vert D_\mu \phi \right\vert ^2 - V(\phi)$$

Sean Carroll
 * $$W = \int [Dg][Da][D\psi][D\Phi] exp \left \{ i \int d^4x \sqrt{-g} \left [ {1 \over 16\pi} R - {1 \over 4} F_{\mu\nu} F^{\mu\nu} + i \bar \psi {D}\!\!\!\!/\ \psi + \psi_i V_{ij} \Phi \psi_j + h.c. - \left\vert D_\mu \phi \right\vert ^2 - V(\phi) \right ] \right \}$$


 * $$W = \underbrace{ \int [Dg][Da][D\psi][D\Phi] exp \{ i }_\text{quantum mechanics} \underbrace{ \int d^4x \sqrt{-g} }_\text{spacetime} [ \underbrace{ {1 \over 16\pi} R }_\text{gravity} \underbrace{ - {1 \over 4} F_{\mu\nu} F^{\mu\nu} }_\text{other forces} \underbrace{ + i \bar \psi {D}\!\!\!\!/\ \psi + \psi_i V_{ij} \Phi \psi_j + h.c. }_\text{matter} \underbrace{ - \left\vert D_\mu \phi \right\vert ^2 - V(\phi) }_\text{Higgs} ] \}$$

Neil Turok
 * $$\Psi = \int exp \left \{ i \int \left [ {1 \over 16\pi} R - {1 \over 4} F^2 + i \bar \psi {D}\!\!\!\!/\ \psi - \lambda \phi \bar \psi \psi + \left\vert D \phi \right\vert ^2 - V(\phi) \right ] \right \}$$

= Genesis 1 (Revised) =

1 In the beginning God created


 * $$\mathcal{L} = \frac{1}{16 \pi} (R - 2 \Lambda) - \frac{1}{4} F^2 + i \bar \psi {D}\!\!\!\!/\ \psi + \bar \psi \phi \psi + h.c. + \left\vert D \phi \right\vert ^2 - V(\phi)$$

2 And the earth was without form, and dense; and darkness was upon the face of the deep. And the


 * $$i \frac{\partial}{\partial t} \Psi = \hat H \Psi$$

moved upon the face of


 * $$G_{\mu \nu} + \Lambda g_{\mu \nu} = 8 \pi T_{\mu \nu}$$

3 And God said,


 * $$\nabla \cdot \mathbf{E} = \rho_e$$


 * $$\nabla \cdot \mathbf{B} = \rho_m$$


 * $$\nabla \times \mathbf{E} = \mathbf{J}_m - \frac{\partial \mathbf{B}} {\partial t}$$


 * $$\nabla \times \mathbf{B} = \mathbf{J}_e + \frac {\partial \mathbf{E}} {\partial t}$$

and there was light.

4 And God said,


 * $$6 H \to {He} + 2 H + 2 e^+ + 2 \nu_e + 2 \gamma + 24.68 MeV$$


 * $$He \to C \to Ne \to O \to Si \to Fe \cdots$$

and there were stars, galaxies, the sun, the moon, and the earth.

5 And God said,


 * $$\mathfrak{Let~earth~transformeth}$$

and there were the atmosphere called "sky," dry grounds called "lands," and gathered waters called "seas."

6 And God said,


 * $$\mathfrak{Let~life~evolveth}$$

and there were bacteria, archaea and protists according to their kinds,


 * plants and fungi according to their kinds,


 * invertebrates, fish, amphibians, reptiles, birds and mammals according to their kinds.

7 Then God said,


 * $$\mathfrak{Let~consciousness~emergeth}$$

So God created mankind, as well as other great apes, dolphins, whales, and elephants, in his own image.

8 And God saw every thing that he had made, and, behold, it was very good. And the evening and the morning were the five trillionth day.