Another description of temporal physics.

 Consider in temporal physics the concept of "emergent space" suggests that space itself is not a static backdrop but something that arises dynamically due to underlying temporal flows. An object, then, is not just a collection of static spatial coordinates but is intimately tied to these temporal flows and the emergent space they produce.

Space is dynamically generated from temporal flows. It's not a pre-existing stage where events play out but an emergent property of temporal processes.

S(t) = (r_1(t),r_2(t),r_3(t))

An object is defined by the values that emerge from these temporal flows. These values include the spatial coordinates and the properties that the object exhibits.

$f(t)$ is a function that quantifies the temporal flow or rate at a specific moment $t$. It encapsulates how temporal dynamics evolve over time, influencing the emergent spatial dimensions $S(t)$.

In the equation v(t)=f(t)S(t)​, $\mathrm{<br>}$ acts as a divisor that scales the spatial coordinates $S(t)$ to determine the velocity $v(t)$. This implies that $f(t)$ influences how quickly or slowly the object's position changes relative to the evolving temporal dynamics.

Temporal waves represent the variation or oscillation of values (amplitudes) over the dimension of time in your model. Each temporal wave is characterized by its specific amplitude a_i​ and angular frequency w_i

Amplitude a_i determines the strength or magnitude of the temporal wave at any given moment in time t. It reflects the value associated with the temporal flow or dynamic under consideration.

Angular frequency w_i Specifies how rapidly the temporal wave oscillates or cycles through its values over time t. It defines the rate of change of the phase of the wave.

Particles can be characterized not only by their spatial coordinate S(t) but also the temporal aspects $f(t)$ that govern their dynamics. This duality implies that observing particles involves considering both their spatial positions and the temporal processes that define their behavior.

So, an object’s characteristics, including its position and velocity, are thus products of the interactions and flows in spacetime. Duality in my model reflects how particles exhibit both particle-like and wave-like behaviors due to the underlying temporal dynamics and emergent spatial configurations. This duality is fundamental to understanding how particles manifest within your temporal physics framework, highlighting the complex interdependencies between temporal flows f(t), spatial coordinates S(t), and the probabilistic nature of particle interactions.

Matter is represented by the values that emerge within the spatial dimensions. These values include spatial coordinates and potentially other properties derived from temporal interactions. Matter's characteristics, such as position and properties, are influenced by flows.

Consider that the oscillations affect the emergent space S(t) and consequently influence how fields or elements within my model evolve. This could be seen as the "oscillations in time" that drive the changes and interactions observed in the equations.