Dist Babble

 Linearized Theory of Gravity In light of the temporal dependence of the metric tensor and the need for a dynamic approach, the metric perturbation in a weak field might be updated to: ημν(t) = [ 1 + α₀ · t² 0 0 0 1 + α₁ · t² 0 0 0 1 + α₂ · t² ] g_μν = η_μν + h_μν Where: h_μν = Perturbation influenced by τ(t) The perturbation h_μν should reflect the time-dependent scaling. For a more accurate representation, the perturbation might be: h_00 = -2 * (k * q1 * q2) / (r * (1 + α * t²)) Modified Potential The Coulomb potential in the context of time-dependence is: V(r, t) = (k * q1 * q2) / (r * (1 + α * t²)) The Newtonian gravitational potential ϕ is then: ϕ(r, t) = (k * q1 * q2) / (r * (1 + α * t²)) Metric Perturbation With the modified potential, the perturbation in the metric tensor due to the gravitational field is: h_00 = -2 * (k * q1 * q2) / (r * (1 + α * t²)) Wave Propagation and Polarization The linearized Einstein field equations for the perturbation now include the time-depende...

 Limit to Heisenberg  consider Δx⋅Δp≥ ℏ/2c Modified Schrödinger Equation In a potential-free region, the modified Schrödinger equation is: i ℏ ∂ψ/∂t = -ℏ² / [2m (1 + α t²)] ∇²ψ Deriving the Uncertainty Relation Wavefunction Form: Assume a plane wave solution for the wavefunction ψ: ψ(x, t) = A e^(i (k x - ω t)) where k is the wave number and ω is the angular frequency. Momentum and Energy Operators: The momentum operator in quantum mechanics is: p̂ = -i ℏ ∂/∂x For a plane wave, the momentum is: p = ℏ k The kinetic energy operator is: T̂ = -ℏ² / [2m (1 + α t²)] ∇² For a plane wave, the kinetic energy is: T = ℏ² k² / [2m (1 + α t²)] Uncertainty in Position (Δx): For a plane wave, the position uncertainty Δx is related to the wave packet's spatial extent. For simplicity, consider a Gaussian wave packet where: Δx ≈ 1 / (√2 k) Uncertainty in Momentum (Δp): The uncertainty in momentum Δp can be derived from the relation: Δp ≈ ℏ k Uncertainty Product: The product of uncertainties Δx ...

Cosmological predictions in temporal physics.   Cosmic Microwave Background (CMB) Anisotropies Predicted CMB Temperature Fluctuations   In my model, the spacetime metric is influenced by temporal dynamics. The temperature fluctuations (ΔT) in the CMB might be affected by these dynamics.   General Form: ΔT(n̂) = ΔT₀(n̂) × (1 + α_CMB ⋅ τ(t))   Where:   ΔT(n̂) is the temperature fluctuation at direction n̂. ΔT₀(n̂) is the baseline temperature fluctuation from standard cosmological models. α_CMB is a model-specific coefficient. τ(t) is the gravitational field effect, given by τ(t) = t². Equation: ΔT(n̂) = ΔT₀(n̂) × (1 + α_CMB ⋅ t²)   Galaxy Distribution Galaxy Density Field   The density of galaxies (ρ_g(x, y, z)) might be modified by the effects of temporal dynamics on space expansion.   General Form: ρ_g(x, y, z) = ρ_g₀(x, y, z) × (1 + α_gal ⋅ τ(t))   Where:   ρ_g(x, y, z) is the...

Temporal spacetime metric. Scenario: Gravitational Field with Increasing Effect Suppose τ(t) represents a gravitational field effect that increases over time, such that τ(t) = g(t) = t². The generalized metric tensor would be: (edit removed the temproal aspect from the old model, minkowski to temporal) ημν(t) = [ 1 + α₀ · t² 0 0 0 1 + α₁ · t² 0 0 0 1 + α₂ · t² ] The spacetime interval is: ds² = (1 + α₀ · t²) dx² + (1 + α₁ · t²) dy² + (1 + α₂ · t²) dz² In this case, as time t increases, the spatial distances (dx², dy², dz²) are scaled more significantly due to the time-dependent factors, than in Minkowski space. This reveals new insights into how gravitational fields or other temporal factors alter spatial dimensions, which is not captured in the standard Minkowski spacetime model. To see how gravity is described by my metric, let’s examine the spacetime interval and its implications. ds² = (1 + α₀ · τ(t)) dx² + (1 + α₁ · τ(t)) dy² + (1 + α₂ · τ(t)) dz² General temporal Compon...

  Wave-Particle Duality in the Temporal Framework Temporal Flow as a Foundation: Temporal Flows: Temporal flows are the fundamental dynamics from which spatial dimensions emerge. These flows can be considered as vectors in a time-evolving vector space. Emergent Spatial Vectors: Spatial dimensions are derived from interactions among these temporal flows, resulting in structures that can be visualized in space. Wave Behavior: Continuous Temporal Flows: The continuous nature of temporal flows gives rise to wave-like behavior. These flows exhibit patterns similar to waves, where fluctuations and interactions create wave phenomena. Wave Equation: The wave-like nature of temporal flows can be described by equations similar to the wave equation in classical physics. For example, the wave equation in this context is: (Second partial derivative of T with respect to time) - (Laplacian of T) = 0 Here, T represents the temporal field, and its variations in space and time give rise to wave ...

 Building up time. You could think of time as physical, or much more basic such as meta dynamics of what is physical. Sense you are working with a single dimension that builds up dimensons through interations.  c = j⋅r_i + 2⋅(Δr_i / Δj)⋅r_i Where: c is the result  j is flow (a positive or negitive value) r_i represents a rate (which is a conglomerate of flows) Δr_i and Δj represent changes in rate and flow, respectively given the "speed" of light consider our dimensions are D = fa + fb A dimension (D) emerges as the ratio of two interacting flows (fa and fb). This suggests that dimensions are not absolute, but relative measures arising from the interaction of more fundamental entities, flows. Lets go further and say space emerging from time. A metric for this space as: ds² = Σ(Ri + fi)² * dxi² Where i runs over all dimensions. Include our speed of light in the metric ds² = c² * [dt² - (1/c²) * Σ(ri² * dx0²)] Events with ds² > 0 are timelike separated, ds² = 0 are light...

   Model of Consciousness and Subjective Experience Core Concept: I propose that subjective experience emerges from the complex interplay between contextual information, dimensionality, time, and strategic choices, all modulated by temporal flows, which I refer to as stress patterns. This model aims to quantify and explain how these factors interact to shape consciousness and learning. Key Equations and Their Roles: Subjective Experience Equation: S E i = f ( C i , T , D / C i ) SE_i = f(C_i, T, D/C_i) S E i ​ = f ( C i ​ , T , D / C i ​ ) SE_i: Subjective experience of individual i i i C_i: Contextual information matrix for individual i i i T: Time D: Overall dimensionality of the information space D/C_i: Contextual asymmetry Information Exchange Rate: I i = k ⋅ N 2 ⋅ ( D C i ) ⋅ B ( s i ) ⋅ S i I_i = k \cdot N^2 \cdot \left(\frac{D}{C_i}\right) \cdot B(s_i) \cdot S_i I i ​ = k ⋅ N 2 ⋅ ( C i ​ D ​ ) ⋅ B ( s i ​ ) ⋅ S i ​ I_i: Rate of information exchange for individual...