Posts

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...

Temporal Physics Quantum Gravity: A Modified Model Incorporating Temporal Flows

Temporal Physics Quantum Gravity: A Modified Model Incorporating Temporal Flows State Evolution In traditional quantum gravity, the evolution of the quantum state is governed by the time-dependent Schrödinger equation: ψ ( t ) = e − i H t ℏ ψ ( 0 ) Here, the Hamiltonian H H  dictates the system's energy and dynamics, and time is treated as a passive parameter. This formulation assumes that time itself is merely a background parameter that doesn't actively influence the state evolution. In my model, time is treated as an active component influencing the evolution of quantum states. This is reflected in the modified evolution equation: ψ ( t ) = e − i ( H + f ( t ) ) t ℏ ψ ( 0 ) Here, the Hamiltonian H H  is augmented by a time-dependent term f ( t ) f(t) , representing a correction due to temporal dynamics. This correction reflects the active role of time in the quantum gravitational context, resulting in an altered evolution of the quantum state compared to traditional models....

Temporal Physics; Temporal Dynamics Metric

 Temporal Physics; Temporal Dynamics Metric Basic Form g μ ν = η μ ν + ∑ i ( α i τ i ( t ) ⋅ τ i ( t ) ) Core Structure : Starts with the Minkowski metric η μ ν \eta_{\mu\nu} , modified by contributions from temporal flows. Flow Contributions : Each temporal flow τ i ( t ) \tau_i(t)  contributes to the metric, scaled by α i \alpha_i , which governs the strength of each flow. Purpose : Describes a linear addition of temporal effects to the spacetime structure. 2. Including Non-Linear Corrections g μ ν = η μ ν + ∑ i ( α i τ i ( t ) ⋅ τ i ( t ) + κ i ( τ i ( t ) ) ) Non-Linear Term ( κ i ( τ i ( t ) ) \kappa_i(\tau_i(t)) : Accounts for non-linear effects or interactions between flows. Captures higher-order corrections that are not simply quadratic. Purpose : Models more complex systems where flows interact non-linearly or have self-modifying behavior. 3. Temporal Flows and Spatial Dimensions g μ ν ( x , t ) = η μ ν + ∑ i ( α i τ i ( t ) ⋅ τ i ( t ) + β i ( x , t ) ) Spatial-Temp...

Temporal Flow Dynamics: A Generalized Framework

  Temporal Flow Dynamics: A Generalized Framework 1. Introduction Temporal flow, as described in this model, is the fundamental basis for understanding the dynamics of energy, mass, inertia, fields, and spacetime geometry. Rather than conceptualizing time as a passive backdrop, temporal flow is presented as an active force that shapes the properties of systems, including material interactions and the geometry of spacetime itself. 2. Dynamic Non-linear Corrections Each dimension or entity in the system experiences a temporal flow that is influenced by both intrinsic and extrinsic factors. The temporal flow for a given entity i i  is defined as: τ i ( t ) = k i t + ϵ i ( t ) where: k i t k_i t  represents the linear progression of time for the entity, with k i k_i ​ as a constant scaling factor. ϵ i ( t ) \epsilon_i(t)  represents dynamic, non-linear corrections to the rate of temporal flow, which adjust based on system properties, interactions, and external influence...