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I pasted the photo into ChatGPT. Here's what it came up with. The whiteboard contains several famous physics equations. Here are the ones I can identify: 1. *
by js2 2y ago
I pasted the photo into ChatGPT. Here's what it came up with.
The whiteboard contains several famous physics equations. Here are the ones I can identify:
1. *Einstein's field equations (General Relativity):*
\[
E = \frac{8\pi G}{3} \left( \rho + \frac{\Lambda}{8\pi G} \right)
\]
\[
R_{\mu\nu} - \frac{1}{2} R g_{\mu\nu} + \Lambda g_{\mu\nu} = \frac{8 \pi G}{c^4} T_{\mu\nu}
\]
2. *Planck's law:*
\[
E = h\nu
\]
\[
E = \frac{hc}{\lambda}
\]
3. *Schrödinger equation (Quantum Mechanics):*
\[
i\hbar \frac{\partial \psi}{\partial t} = \hat{H} \psi
\]
4. *Lagrangian mechanics:*
\[
L = T - V
\]
where \( T \) is kinetic energy and \( V \) is potential energy.
5. *Newton's law of universal gravitation:*
\[
F = G\frac{m_1 m_2}{r^2}
\]
6. *Friedmann equations (Cosmology):*
\[
\left(\frac{\dot{a}}{a}\right)^2 = \frac{8\pi G}{3} \rho - \frac{k}{a^2}
\]
7. *Coulomb's law:*
\[
F = k_e \frac{q_1 q_2}{r^2}
\]
8. *Boltzmann's entropy formula:*
\[
S = k_B \ln \Omega
\]
9. *Maxwell's equations (Electromagnetism):*
\[
\nabla \cdot \mathbf{E} = \frac{\rho}{\epsilon_0}
\]
\[
\nabla \times \mathbf{B} - \mu_0 \epsilon_0 \frac{\partial \mathbf{E}}{\partial t} = \mu_0 \mathbf{J}
\]
10. *The cosmological equation:*
\[
\ddot{a} = -\frac{4 \pi G}{3} (\rho + 3p) a + \frac{\Lambda}{3} a
\]
11. *Thermodynamic identity:*
\[
dU = TdS - PdV
\]
This collection of equations spans various domains of physics, including quantum mechanics, general relativity, electromagnetism, thermodynamics, and cosmology.
- gus_massa 2y agoIt's interesting and amazing that most of those results by ChapGPT are completely wrong. The only ones that got right are 5 and 6 that are 10 and 11 in the GP numbering. 5->10 was an easy one. 6->11 was one of the equations we coudn't identify, but ChatGPT got correctly https://en.wikipedia.org/wiki/Friedmann_equations https://en.wikipedia.org/wiki/Friedmann_equations