Strings and Things

 Developing a Full Quantum Gravity Model for the Pre-Big Bang Universe  We now construct a Quantum Gravity Model based on Tensor Gravitons ( T μ ν \mathcal{T}^{\mu\nu} T μν ) that describes: The Pre-Big Bang Quantum State of the Universe. How Quantum Tensor Gravitons Replace the Classical Singularity. The Transition from a Quantum to a Classical Universe. Observable Signatures in Gravitational Waves and the Cosmic Microwave Background (CMB). Numerically Simulating the Evolution of the Pre-Big Bang Quantum Universe.                                                                                                                     ...

                                                                              Black Hole Simulation                                                                                                                  This simulation demonstrates quantum spacetime fluctuations under extreme conditions , simulating a  black hole-like scenario with the following dynamics: Localized High Energy Density : The central regio...

  🚀 Developing a Quantum Tensor Model for Hawking Radiation Modification We now construct a Quantum Tensor Gravity (QTG) model to modify Hawking radiation , integrating: Quantum Tensor Oscillations into Black Hole Radiation Theory. Derivation of a Modified Hawking Temperature from Tensor Fields. Quantum Corrections to Black Hole Evaporation. Implications for the Black Hole Information Paradox. Numerical Simulation of Modified Hawking Radiation Over Time. 📖 Step 1: Standard Hawking Radiation & the Information Paradox 1.1 Classical Hawking Radiation Formula In standard General Relativity, black holes radiate energy via Hawking radiation , given by: T H = ℏ c 3 8 π G M T_H = \frac{\hbar c^3}{8\pi G M} where: T H T_H is the Hawking temperature. M M is the mass of the black hole. G G is Newton’s gravitational constant. ℏ \hbar is the reduced Planck constant. ➡ Problem: This process suggests complete evaporation , leading to information loss , which contr...

  📖 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...

  Relating Hofstadter’s Butterfly to Spin Network Entanglement Spectra Hofstadter’s Butterfly is a fractal energy spectrum that emerges from quantum systems with periodic magnetic fields . Interestingly, spin networks also exhibit self-similarity and entanglement scaling , suggesting a deeper connection. Key Insights Hofstadter’s Butterfly is not just a fractal energy spectrum, but also exhibits fractal entanglement scaling. Entanglement entropy follows a self-similar structure , similar to spin networks in quantum gravity . This connects fractal quantum systems to entanglement-based holography , potentially linking quantum condensed matter physics to quantum gravity. The connection between quantum fractals and holography may provide new insights into quantum gravity.