Strings and Things

  📖 Formulating a Quantum Field Theory for Quantum Tensor Gravity (QTG) Now, we construct a Quantum Field Theory (QFT) for Quantum Tensor Gravity (QTG) , based on the oscillatory energy coupling of tensor fields that we previously developed. This framework: Defines the Fundamental Fields of Quantum Tensor Gravity. Constructs the QTG Lagrangian & Action. Derives the Field Equations for Quantum Tensor Gravity. Explores Quantum Corrections to General Relativity. Predicts New Physical Phenomena, Including Possible Observables. Numerically Simulates Quantum Tensor Field Evolution. 📖 Step 1: Defining the Fundamental Fields of Quantum Tensor Gravity We introduce a quantum tensor field T μ ν \mathcal{T}^{\mu\nu} , which oscillates in spacetime and governs gravity at quantum scales. 1.1 The Tensor Field T μ ν \mathcal{T}^{\mu\nu} The metric tensor g μ ν g_{\mu\nu} is now an emergent classical limit of a more fundamental quantum tensor field T μ ν \mathcal{T}^{\mu\n...

  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 .

  A 3D plot displays the 1s orbital of a hydrogen atom, illustrating the probability density distribution in a spherical shape. The graph features labeled axes, depicting the spatial dimensions of the orbital.                                                                                                                                         Hydrogen Atom: 3d Orbital (n=3, l=2, m=2)                                                   ...