Time and Gravity as Motion Derivatives
Exploring how Pattern Field Theory derives both time and gravity directly from recursive motion and curvature dynamics, replacing relativistic abstractions with structural causality.
Time as Recursive Curvature Propagation
In PFT, time is not a separate dimension but a measurable consequence of recursive motion cycles within curvature layers. Time flows because patterns continue to refresh through motion.
Local time rate is determined by the local curvature interaction with motion:
T_{local} = \frac{dC}{dM}Where:
- Tlocal = localized time rate
- C = local curvature
- M = local motion intensity
Gravity as Compressed Curvature from Motion Density
Gravity results from accumulation of motion-curvature density in a localized area. The more curvature anchors via recursive motion, the stronger the gravitational pull.
G = \gamma \cdot \sum (M^2 \cdot D) / CWhere:
- G = gravitational field strength
- M = motion magnitude at a given recursion layer
- D = local pattern density
- C = curvature resistance
- γ = curvature proportionality constant
This formula reframes gravity as an emergent effect of internal field motion, explaining why gravitational effects scale with mass (motion density) and why extreme curvature leads to phenomena like black holes.
Related References:
Next Steps:
In Article 3, we will explore the true nature of light as frequency propagating on two-dimensional curvature and explain why photons do not exist within Pattern Field Theory.