This interactive visualization explores the relationship between gravitational intensity (λ), segment count (N), and the deformation of space and time.
A single HTML file demonstrates how λ affects both spatial and temporal geometry using simple triangular representations and exponential growth.
- The upper triangle visualizes space deformation (r(N)).
- The lower triangle represents the time required to traverse that deformed space (r(t)).
- A slider lets you adjust λ (gravitational factor).
- N is automatically derived from λ using a logistic approximation.
- The exponential function applies:
The visualization is based on the assumption that space is not continuous, but segmented.
Stronger gravitation → More segmentation → Greater temporal cost to cross the same space.
This model challenges the flat, Newtonian space-time intuition and leans into visual relativity.
In the upper triangle:
- Point x: starting point in space
- Point y: destination along the y-axis (defined by λN)
- Line x–y: the real path through segmented space
In the lower triangle:
- Point z: target point in time
- Line x–z: the temporal cost to reach from x to y
So we have:
- λN = y → vertical displacement from gravitation
- x–y = spatial path
- x–z = time needed
The higher the λ, the more segmented the space becomes → the longer the journey → the more time it takes.
Slider.html: Main visualization with interactive sliderREADME.md: This file
- Segment count (logistic):
- Space deformation:
λN is y.
x to y is the spatial path.
x to z is the temporal path.
If λ increases, then N increases as well. Because N is not a free parameter. Gravitation (λ) segments space (N).
More segments = more time needed to cross the same space.
This is visualized here using exponential stretching of the triangles.
r(N) = r₀ * e^(λN)
https://error-wtf.github.io/SEGMENTED_SPACETIME/Slider.html
ANTI-CAPITALIST SOFTWARE LICENSE (v 1.4) 2025 © Carmen Wrede and Lino Casu