On Temporal Flow and Spin

Temporal Flow and Spin First, we need to define the notion of temporal flow in a way that can relate to spin: A. Temporal Flow Representation Let’s denote the temporal flow at a point in spacetime as τ(t), which could be a function of both time and the underlying spatial coordinates (x, y, z): τ(t, x, y, z) = T(t) + ε(x, y, z) Here, T(t) represents a global temporal flow, while ε(x, y, z) accounts for local variations due to spatial configurations. B. Spin as an Emergent Property We can express spin as a function of the temporal flow, using an emergent spin variable S: S = f(τ(t, x, y, z)) This implies that spin is not an intrinsic property of a particle but is instead derived from the temporal flow. 2. Two-Spinor Formalism Using the two-spinor formalism, we can represent spin-1/2 particles with a two-component spinor: ψ = (ψ₁, ψ₂) A. Spinor Dynamics The dynamics of the spinor can be expressed in relation to the temporal flow. We introduce a modified Dirac equation that incorporat...