Metric Tensor with Temporal Flows
Introduction and Foundational Framework Spacetime is fundamentally composed of temporal flows. In this model, temporal flows are defined as: τ i ( t ) = A i ϕ i ( t ) where: A i A_i represents the amplitude, quantifying the strength of the flow. ϕ i ( t ) \phi_i(t) is a normalized time-dependent function, with max ∣ ϕ i ( t ) ∣ = 1 \max |\phi_i(t)| = 1 , capturing the shape of the flow. In this framework, temporal flows drive curvature and changes in the metric tensor g μ ν g_{\mu\nu} , which manifests as spacetime in response to these temporal dynamics. 2. Quantum Field Theoretical Foundation 2.1 Field Theoretic Description Temporal flows are described within the context of quantum field theory using the Lagrangian density: L = 1 2 g μ ν ∂ μ τ i ∂ ν τ i − V ( τ i ) where V ( τ i ) V(\tau_i) represents the potential associated with the temporal flows. 2.2 Quantum Entanglement Connection Temporal flows influence quantum entanglement through modifications to the dens...