Curved Space in Temporal Physics

Understanding Curved Space and Quantum Phenomena in Temporal Physics

Curved Space as a Manifestation of Interaction Rates:

In My model, curved space arises from variations in interaction rates (denoted as 𝑅𝑖𝑗) across the single-dimensional framework. These rates are not uniform; thus, the space we perceive as curved emerges from the non-uniform distribution of these interaction rates. Areas with higher interaction rates create a denser, more "curved" appearance in the emergent dimensions. Essentially, what we interpret as curvature is a direct result of these varying rates of interaction within the single-dimensional substrate.

Speed of Light as an Interaction Rate Limit:

The speed of light (c) is inherently tied to the maximum rate of interactions in My model. It acts as a fundamental limit because the rate at which any single point can interact with others cannot exceed c. This constraint is not arbitrary but a fundamental property derived from the dynamics of how dimensions emerge from the underlying single-dimensional flow. Therefore, c represents the upper bound of interaction propagation rates.

Wave-Particle Duality and Its Origins:

Wave-particle duality emerges naturally from My framework. The continuous nature of interaction rates and temporal flows corresponds to wave-like properties, while localized, high-interaction regions or "knots" in the flow give rise to particle-like properties. This duality is a consequence of observing interactions at different scales or perspectives, rather than being a paradox. It reflects the dual nature of how interactions manifest within My single-dimensional model.

Particles as Stable Interaction Patterns:

In this model, particles are viewed as stable configurations within the interaction network of the single-dimensional framework. They are not fundamental entities but emergent patterns that maintain stability over time. Different particles correspond to distinct patterns of interactions and flows, arising from the underlying temporal dynamics.

Unified Framework:

Curved Space: Results from non-uniform interaction rates across the single dimension, giving the appearance of curvature.

Speed of Light: Represents the maximum rate of interaction propagation, reflecting a fundamental limit.

Wave-Particle Duality: Arises from the interplay between continuous interaction rates and localized high-interaction regions.

Particles: Emergent stable patterns of interactions within the single-dimensional framework.

This model provides a cohesive way to understand these complex phenomena by deriving them from a simpler, single-dimensional substrate. It suggests that the richness of the universe emerges from fundamental principles of interaction and flow within this underlying framework.