Temporal Flow
Equation: τ(t)
Here, τ(t) represents the temporal flow value at time t. It is a measure of the intensity and nature of interactions within the present state.
Rate of Change (Temporal Dynamics)
Equation: τ̇(t) = dτ(t)/dt
The rate of change of temporal flow is given by the derivative of τ(t) with respect to time.
Space as a Function of Temporal Flow
Equation: S(t) = ∫ τ(t) dt
Space S(t) is conceptualized as an integral of temporal flow over time, indicating that space emerges from the accumulation of temporal interactions.
Energy in the Temporal Flow Model
Equation: E(t) = k · τ(t)^2
Energy E(t) is proportional to the square of the temporal flow value, where k is a proportionality constant.
Wave-Particle Duality
Equation: ψ(x,t) = A e^(i(ωt-kx))
In this model, the wave function ψ(x,t) depends on the temporal flow. Here, ω (angular frequency) and k (wave number) can be expressed as functions of τ(t).
Dimensions
Equation: D(t) = f(τ(t))
Dimensions D(t) are treated as a function of temporal flow, indicating that the perceived number of dimensions can vary with the intensity of temporal interactions.
Fields (Electromagnetic and Others)
Equation: F(t) = ∇ × E(t)
Fields are generated and described by the curl of the energy function, linking the concept of fields to temporal dynamics.
Quantum States and Temporal Dynamics
Equation: ψ(x,t) = A e^(iϕ(t)) · τ(t)
The wave function ψ(x,t) integrates the temporal flow into its structure, demonstrating how quantum states are modulated by temporal interactions rather than fixed spatial parameters.
Gravity
Equation: G(t) = G · m1 · m2 / S(t)^2
Gravity G(t) is derived from the masses m1 and m2 and the spatial function S(t). The gravitational force depends inversely on the square of the space function, reflecting the accumulation of temporal interactions.
Gravitational Waves from Temporal Fluctuations
Equation: h(t) ~ ∂^2τ(t)/∂t^2
Here, h(t) denotes gravitational wave amplitude, directly tied to the second derivative of temporal flow, reflecting how fluctuations in temporal dynamics generate gravitational waves.
Strong and Weak Nuclear Forces
Strong Force:
Equation: Fs(t) = gs · τ(t)^3
The strong nuclear force Fs(t) is a function of the cube of the temporal flow value, with gs being a proportionality constant.
Weak Force:
Equation: Fw(t) = gw · τ(t)
The weak nuclear force Fw(t) is directly proportional to the temporal flow value, where gw is a proportionality constant.
Cyclical Universe
Equation: U(t) = cos(ωt + ϕ) · τ(t)
The cyclical universe model U(t) is described by a cosine function modulated by the temporal flow. Here, ω is the angular frequency of the universe's cycles, and ϕ is a phase constant.
Temporal Flow and Gravity Interaction
Equation: G(t) = α · τ(t) · ∇τ(t)
Here, G(t) represents the gravitational influence at time t, proportional to the product of temporal flow τ(t) and its spatial gradient ∇τ(t). This reflects how gravity arises from varying temporal interactions rather than a spacetime curvature.
Energy-Momentum Relation
Equation: E(t) = m(t) · c^2 + γ(τ(t))
In this formulation, energy E(t) incorporates mass m(t) and a term γ(τ(t)) that describes how energy changes with respect to temporal flow, indicating that energy is influenced by the underlying temporal dynamics.
Emergent Spatial Dynamics
Equation: S(t) = ∫[0 to t] τ(t') dt'
This integral expresses how space S(t) emerges from the accumulation of temporal flow over time, establishing a direct relationship between temporal interactions and spatial configuration.
Uncertainty Principle in Temporal Terms
Equation: Δx · Δτ ≥ ℏ/2
This adaptation of the uncertainty principle emphasizes the intrinsic relationship between spatial uncertainty Δx and temporal uncertainty Δτ, suggesting that understanding one inherently involves understanding the other through temporal dynamics.
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