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Showing posts from December 8, 2024

Temporal Dynamics Metric

Temporal Dynamics Metric The Temporal Dynamics Metric describes the geometry of spacetime influenced by underlying temporal flows and their interactions. These temporal flows are mapped across different dimensions of space and time. The metric g μ ν ( t ) g_{\mu\nu}(t)  reflects the structure of spacetime, integrating these flows. Temporal Dynamics Metric: g μ ν ( t ) = [ α 1 ⋅ ∫ τ 1 ( t ) c   d t + ∫ [ τ 1 ( t ) ⋅ τ 1 ( t ) ]   d t ∫ [ τ 1 ( t ) ⋅ τ 2 ( t ) ]   d t ∫ [ τ 1 ( t ) ⋅ τ 3 ( t ) ]   d t ∫ [ τ 2 ( t ) ⋅ τ 1 ( t ) ]   d t α 2 ⋅ ∫ τ 2 ( t ) c   d t + ∫ [ τ 2 ( t ) ⋅ τ 2 ( t ) ]   d t ∫ [ τ 2 ( t ) ⋅ τ 3 ( t ) ]   d t ∫ [ τ 3 ( t ) ⋅ τ 1 ( t ) ]   d t ∫ [ τ 3 ( t ) ⋅ τ 2 ( t ) ]   d t α 3 ⋅ ∫ τ 3 ( t ) c   d t + ∫ [ τ 3 ( t ) ⋅ τ 3 ( t ) ]   d t ] g_{\mu\nu}(t) = \begin{bmatrix} \alpha_1 \cdot \int \frac{\tau_1(t)}{c} \, dt + \int \left[\tau_1(t) \cdot \tau_1(t)\right] \, dt & \int \left[\tau_1(t) \cdot \tau_2(t)\right] \, dt & \int \left[\tau_1(t) \cdot \tau_3(t)...

Simulation of Planetary Motion Using Temporal Flow Dynamics

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 Simulation of Planetary Motion Using Temporal Flow Dynamics Abstract: This paper presents a novel simulation of planetary motion based on a theoretical model that integrates temporal flow dynamics, mass accumulation, energy density, and spacetime metric coupling. By implementing these principles in a computational environment, it demonstrates the feasibility and validity of this model in accurately simulating the solar system. The results suggest new insights into the interactions between mass, energy, and spacetime that are distinct from classical Newtonian mechanics and Einstein's general relativity. 1. Introduction Background: In classical physics, planetary motion is described using Newtonian mechanics, while relativistic models incorporate time dilation and spacetime curvature as described by Einstein's theory of general relativity. However, these models often overlook a fundamental factor—the temporal flow of mass and energy—which is integrated into my model. By introdu...

Self reflection and the math (A Burgson moment)

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  As a kid, one of the first math problems I ever really thought about was division. Adding and subtracting were straightforward to me. Multiplication was just saying more. However, division was different—1/2. My initial thought was, how does the top number "relate" to the bottom number? In this relation was the conveying, exchanging, or limitation of the system. I learned more about division, of course, but that initial concept of the relationship in the math was still there. As I learned that the top was the numerator and the bottom was the denominator, I became even more moved by their relation. Why would we give them distinct names unless they were important to each other? In some ways, my initial concept was more complex than the actual problem itself. The system as a whole seemed complex, especially when you consider that the numerator could be larger than the denominator. How could the system as a whole be larger than itself? This concept led me to the idea of the grea...