Standard Multiverse Equations

 Standard Multiverse Equations

1. 
   

2. Schrödinger Equation (Non-Relativistic Quantum Mechanics): $�\mathrm{\hslash }\frac{\mathrm{\partial }}{\mathrm{\partial }�}\mathrm{\Psi }(\mathbf{�},�)=(-\frac{{\mathrm{\hslash }}^2}{2�}{\mathrm{\nabla }}^2+�(\mathbf{�},�))\mathrm{\Psi }(\mathbf{�},�)$

3. Wheeler-DeWitt Equation (Canonical Quantum Gravity): $\widehat{\mathcal{�}}\mathrm{\Psi }[{�}_{��}]=0$

4. Friedmann Equations (Cosmology): ${�}^2=\frac{8��}{3}�-\frac{�}{{�}^2}+\frac{\mathrm{\Lambda }}{3}$ $\dot{�}=-4��(�+�)+\mathrm{\Lambda }$

5. String Theory Equation of Motion: ${�}^{\mathrm{\prime }}({\mathrm{\nabla }}^2-\frac{1}{3}�)�(�)+\frac{1}{4}{\sum }_{�=1}^3{\sum }_{�=1}^{\mathrm{\infty }}{�}_{-�}^{�}{�}_{�}^{�}�(�)=0$

6. Many-Worlds Interpretation Probability Density: $�(�,�)=\mathrm{\mid }\mathrm{\Psi }(�,�){\mathrm{\mid }}^2$

7. Multiverse Wave Function (Incorporating Everett's Many-Worlds): ${\mathrm{\Psi }}_{\text{multiverse}}({�}_1,{�}_2,\mathrm{.}\mathrm{.}\mathrm{.},{�}_{�},�)={\sum }_{�=1}^{�}{�}_{�}{\mathrm{\Psi }}_{�}({�}_1,{�}_2,\mathrm{.}\mathrm{.}\mathrm{.},{�}_{�},�)$

8. Einstein's Field Equations with a Cosmological Constant (General Relativity): ${�}_{��}-\frac{1}{2}�{�}_{��}+\mathrm{\Lambda }{�}_{��}=\frac{8��}{{�}^4}{�}_{��}$

9. Cosmic Microwave Background Radiation Temperature Anisotropy (Cosmology): $\frac{\mathrm{\Delta }�}{�}(�,�)={\sum }_{\mathrm{\ell }=2}^{\mathrm{\infty }}{\sum }_{�=-\mathrm{\ell }}^{\mathrm{\ell }}{�}_{\mathrm{\ell }�}{�}_{\mathrm{\ell }�}(�,�)$

10. Holographic Principle Entropy Bound: $�\le \frac{�}{4�\mathrm{\hslash }}$

11. Hawking Radiation Temperature (Black Hole Physics): $�=\frac{\mathrm{\hslash }{�}^3}{8��{�}_{�}�}$