Posts

The Pre-Big Bang Universe

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 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

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                                                                              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

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  🚀 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)

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  📖 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...

Hofstadter's Butterfly Fractal from a Spin Network Perspective

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  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.

Unifying Quantum Mechanics (QM) with General Relativity (GR)

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  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...