Strings and Things

  Logical Summary: Unifying Quantum Mechanics (QM) with General Relativity (GR) We developed a mathematical and computational framework that connects quantum mechanics (QM) and general relativity (GR) by leveraging tensor networks, quantum entanglement, and machine learning . Here’s the step-by-step logical progression: 1️⃣ Reformulating Newton’s and Einstein’s Equations into a Unified Framework 🔹 Starting Point: Classical Mechanics Reformulation We modified Newton’s equation F = m a F = ma into a quadratic form : v 2 + g 2 = F v^2 + g^2 = F This combined kinetic (velocity-dependent) and gravitational (acceleration-dependent) energy , hinting at an underlying unification. 🔹 Extending to Relativity We reformulated relativistic energy as: E 2 = v 2 c 2 + c 4 E^2 = v^2 c^2 + c^4 Noted that when velocity is small, v 2 c 2 v^2c^2 vanishes , leaving only rest energy c 4 c^4 , drawing a link between rest mass and gravitational mass . 2️⃣ Linking Gravity and Electro...

  Visualization of a complex atomic orbital : 3D visualization of a complex atomic orbital : Visualization of the real and imaginary components of a quantum wavefunction over time What This Animation Represents: The left panel (Blue) : Shows how the real part of the orbital oscillates. The right panel (Red) : Shows how the imaginary part oscillates. The wavefunction rotates in complex space , meaning its real and imaginary components continuously transform into each other —just like how electric and magnetic fields oscillate in an EM wave Key Takeaways: This is analogous to how electromagnetic waves oscillate in phase : The real part can be seen as the "electric field" . The imaginary part behaves like the "magnetic field" . This behavior is fundamental in quantum mechanics : Describes electron orbitals in atoms and molecules. Crucial for molecular bonding and spectroscopy . Underlies quantum superposition and entanglement .