Dist Babble

Understanding Temporal Wave Dynamics I question why a wave with a positive value might travel in the negative direction of time, and vice versa. I believe this relates to a sequence of events where larger values propagate smaller values in the direction of the wave. Temporal Flow Hamiltonian The fundamental concept here is represented by the Temporal Flow Hamiltonian : Let T i T_i  represent the temporal flows. Let ω i \omega_i  denote their respective frequencies. Wave Propagation Temporal waves are described as Ψ ( t ) \Psi(t) , which evolve according to the Hamiltonian H ( t ) H(t) : H ( t ) = ∑ i T i ⋅ ω i H(t) = \sum_i T_i \cdot \omega_i ​ Amplitude Influence : The amplitude in Ψ ( t ) \Psi(t)  indicates energy levels. Higher amplitude values signify regions of higher energy, influencing the propagation of lower energy (smaller amplitude) regions. In this model, larger values dominate interaction dynamics. Wave Interaction Fermions : Represented by anti-symmetric wav...

  Temporal Metric and the Hamiltonian In my exploration of temporal physics, I have developed a framework that integrates a temporal metric tensor with a Hamiltonian formulation. This framework provides a unique perspective on how time and energy interact in a dynamic system. Below, I outline the key components of this model, including the temporal metric tensor and the resulting Hamiltonian. Temporal Metric Tensor The temporal metric tensor g μ ν ( t ) g_{\mu\nu}(t)  is a crucial element of my model, defined as: g μ ν ( t ) = [ α 1 ⋅ ∫ τ ( t ) d t 0 0 0 α 2 ⋅ ∫ τ ( t ) d t 0 0 0 α 3 ⋅ ∫ τ ( t ) d t ] g_{\mu\nu}(t) = \begin{bmatrix} \alpha_1 \cdot \int \tau(t) dt & 0 & 0 \\ 0 & \alpha_2 \cdot \int \tau(t) dt & 0 \\ 0 & 0 & \alpha_3 \cdot \int \tau(t) dt \end{bmatrix} ​ In this tensor: α 1 , α 2 , α 3 \alpha_1, \alpha_2, \alpha_3 ​ are coefficients that characterize the interactions within the system. τ ( t ) \tau(t)  represents the temporal flow, ...

 Time as rated flow 1. Basic State Description Let T ( t ) T(t) T ( t ) be a vector describing the state of properties at any given time t t t : T ( t ) = [ T 1 ( t ) , T 2 ( t ) , … , T n ( t ) ] T(t) = [T_1(t), T_2(t), \dots, T_n(t)] T ( t ) = [ T 1 ​ ( t ) , T 2 ​ ( t ) , … , T n ​ ( t )] Each T i ( t ) T_i(t) T i ​ ( t ) represents a measurable property at a time point, such as energy, momentum, or another physical quantity. 2. Transformation Dynamics The rate of change of each property T i T_i T i ​ is governed by a transformation function f i f_i f i ​ , which allows for changes while respecting conservation principles: d T i d t = f i ( T , t ) \frac{d T_i}{dt} = f_i(T, t) d t d T i ​ ​ = f i ​ ( T , t ) To maintain overall conservation, we impose: ∑ i f i ( T , t ) = 0 \sum_{i} f_i(T, t) = 0 i ∑ ​ f i ​ ( T , t ) = 0 This condition ensures that transformations do not add or subtract from the system's total value, only redistribute it among properties. 3. Interaction Matr...