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Showing posts from September 26, 2024

Reviewing Mathimatical Linearity.

I consider that proportionality, often seen as a hallmark of linearity, can still be relevant within a more complex framework While proportionality is a basic relationship, incorporating concepts like limits or asymmetry shouldn’t inherently contradict linearity. I think we need to consider recognizing that every measurement carries uncertainty encourages us to account for variations and potential inaccuracies. This aligns with scientific practice where uncertainty is quantified to provide a clearer picture. Just as physical measurements can be imprecise, our conceptual frameworks may also need to adjust as new insights arise. As systems become more complex, we may observe relationships that appear non-linear at specific scales but can still be understood as part of a broader linear framework when viewed holistically. Systems can be linear even if they exhibit asymmetrical behaviors, as long as the underlying relationships can be described in a consistent manner. In math's we may a...

Temporal Dynamics in Maxwell's Equations

Introduction In classical electromagnetism, Maxwell's equations form the foundation for understanding electric and magnetic fields. In my model of temporal physics, I adapt these equations to account for the dynamic nature of time, introducing a temporal variable τ ( t ) \tau(t) τ ( t ) . Below are my adaptations of Gauss's law, Faraday’s law, and Ampère’s law, along with the implications of these changes. 2. Divergence of Electric Field (Gauss's Law) Classical Form: ∇ ⋅ E = ρ ε 0 \nabla \cdot \mathbf{E} = \frac{\rho}{\varepsilon_0} ∇ ⋅ E = ε 0 ​ ρ ​ Where: ρ \rho ρ = charge density ε 0 \varepsilon_0 ε 0 ​ = permittivity of free space My Model's Adaptation: ∇ ⋅ E = ρ ε ( τ ) \nabla \cdot \mathbf{E} = \frac{\rho}{\varepsilon(\tau)} ∇ ⋅ E = ε ( τ ) ρ ​ Key Difference: The permittivity ε ( τ ) \varepsilon(\tau) ε ( τ ) now depends on the temporal flow τ \tau τ . This means that the electric field’s behavior is influenced by the evolving nature of time itself. Effect: ...

On Dimensional Density, in Temporal Physics

 Time, in my model, is viewed as a tool created from the properties of matter. If we consider that everything in the universe consists of matter, then measuring matter inherently leads us to develop concepts like time. Thus, time is not an abstract concept but a physical one, deeply intertwined with the existence of matter. This perspective may sound strange initially, but it emphasizes that without matter, there would be no experience of time. In essence, time, space, energy, and matter are all interconnected aspects of the same fundamental reality. This approach allows for a more cohesive understanding of the universe, where temporal flows influence the behavior of matter and energy. Essentially, I am proposing that recognizing this unity among these concepts can provide a clearer framework for understanding the laws of physics. In my model, the temporal flow τ(t) acts like a scalar or tensor field, where its value changes with respect to both time and potentially space. It inter...