Strings and Things

  VQE Variational Quantum Eigensolver (VQE)-style model to optimize the energy landscape of the FeMo cofactor system. ⚛️ What We'll Do We'll simulate the FeMoco cluster as a quantum Hamiltonian and use a variational quantum circuit to minimize the ground state energy , similar to how: VQE finds the lowest-energy electron configuration of a molecule.  Simplified Model of FeMoC for VQE While the full FeMoco has a complex multielectron Hamiltonian, we’ll simulate a toy model capturing: 3 sites (qubits) representing key iron or molybdenum redox centers , A Hamiltonian H with coupling terms: H = Z 0 Z 1 + Z 1 Z 2 + X 0 + X 1 + X 2​ This models: Redox coupling between centers ( Z Z terms), Electron tunneling/exchange ( X terms). 🛠️ Steps to Build the VQE Model                Define the Hamiltonian (using Pauli operators). Build a parameterized quantum circuit (ansatz) . Use a classical optimizer to va...

 Simulating the Birth of the Universe 1️⃣ Spacetime as Emergent From Jacobson’s derivation to AdS/CFT, we see that geometry itself is a manifestation of entanglement patterns . The “fabric” of spacetime behaves like a quantum error-correcting code — entanglement glues together the bulk. 2️⃣ Black Holes as Perfect Information Processors Hawking radiation and the Page curve show that information is never lost , it’s scrambled. The holographic principle says all the information inside a volume can be encoded on its boundary — an informational screen. 3️⃣ ER=EPR Einstein-Rosen bridges (wormholes) = EPR pairs (entanglement). A wormhole is a channel for entangled qubits — bridging geometry and quantum info. 4️⃣ Quantum Mechanics at its Core The no-cloning theorem, teleportation, mutual information — all these show how unitary evolution protects information . It’s not the particles or fields that are “most real,” but the relations and correlations . ...

  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 .