Strings and Things

  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)                                                   ...

  🚀 Exploring the Effects of Quantum Tensor Gravity Inside Black Holes Now, we investigate how Quantum Tensor Gravity (QTG) modifies the internal structure of black holes , aiming to: Replace Classical Singularities with Quantum Tensor Oscillations. Explore How Energy Transfer Inside the Event Horizon Prevents Information Loss. Modify the Penrose Diagram to Incorporate Quantum Gravity Effects. Predict Observable Consequences, Including Quantum Gravitational Wave Signatures. Simulate the Evolution of the Tensor Field T μ ν \mathcal{T}^{\mu\nu} Inside a Black Hole. 📖 Step 1: Why General Relativity Breaks Down in Black Holes 1.1 Classical Singularities in General Relativity In General Relativity (GR), black holes contain a singularity at r = 0 r = 0 , where: The curvature tensor R μ ν λ σ R_{\mu\nu\lambda\sigma} diverges . All physical quantities (density, energy) become infinite . Information loss paradox emerges , violating quantum mechanics. ➡ Key Question: C...

  📖 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...

  🚀 Developing a Unified Framework: From Pendulum Energy Coupling to Quantum Gravity To fully develop a Quantum Tensor Cosmology Model that connects Quantum Mechanics (QM) and General Relativity (GR) , we must start from a simple mechanical system —the pendulum . 🔷 Why the Pendulum? The pendulum embodies fundamental energy coupling between kinetic and potential energy. It represents a classical analog to quantum oscillations in field theories. It allows us to derive mathematical structures that can be extended to relativity and quantum gravity. 📖 Step 1: Understanding Energy Coupling in a Classical Pendulum The total energy of a simple pendulum with mass m m , length l l , and angle θ \theta from vertical is: E = K + U E = K + U where: Kinetic Energy K = 1 2 m v 2 = 1 2 m ( l θ ˙ ) 2 K = \frac{1}{2} m v^2 = \frac{1}{2} m (l \dot{\theta})^2 Potential Energy U = m g h = m g l ( 1 − cos ⁡ θ ) U = mgh = mg l (1 - \cos\theta) This system exhibits periodic energ...

Arum Lily The Arum Lily is the first in a series of floweral paintings that i intend to paint.  

Red Barn in Autumn was done in water colour, it was my first painting on canvas.