Kala Theory: Cyberpunk Formula Archive

1. Kala Time Expansion Function

\[ \Phi(t) = \frac{\Delta \tau}{\Delta t} \cdot \left(1 + \alpha \sin(\omega t)\right) \]

2. Kala–Newton Time Expansion

\[ \Phi_{Newton}(t) = \sqrt{1 - \frac{2GM}{rc^2}} \cdot \left(1 + \alpha \sin(\omega t)\right) \]

3. White Hole Curvature Reversal

\[ R_w = \frac{-1}{r^2} \cdot \left(1 - \frac{2GM}{rc^2}\right)^{-1} \]

4. Quantum Energy Drop Field

\[ \Psi_q = \frac{\partial E_q}{\partial t} + \nabla \cdot \vec{J_q} \]

5. Kala Multiverse Time Travel

\[ \Delta T_{multi} = \int v(t) \cdot \Phi(t, u_n) \ dt \]

6. Kala Future Time Travel

\[ \Delta T_{future} = \Delta t \cdot \left(1 - \frac{1}{\Phi(t)}\right) \]

7. Kala Schwarzschild Function

\[ R_{kala}(t) = \frac{2GM}{c^2} \cdot \Phi(t) \]

8. White Hole-Based Teleportation

\[ Location_{final} = Location_{initial} + \int v(t) \cdot \Phi(t) \, dt \]

9. Quantum Energy (Casimir Effect)

\[ E = \frac{\hbar c \pi^2}{240 d^4} \cdot A \]

10. Power Output

\[ P = \frac{E}{t} \]

Kala V.1.0 Scientific License

This work and all equations herein are licensed under the Kala Scientific License V.1.0, authored by Dr. Sai Kamesh Yadavalli. These formulas may be used for educational, theoretical, and experimental purposes with credit. Commercial usage and reproduction without explicit permission is prohibited.