Sources, assumptions & link inventory
Link inventory (checked 25 Oct 2026)
| URL | Status | Used? |
|---|---|---|
| https://sahiltayal.com/ | Loaded; Sahilverse homepage content confirmed | Yes — home link, footer, related worlds |
| https://worldengine.sahiltayal.com/ | Loaded; “The World Engine” prototype confirmed | Yes — related worlds |
| https://synth.sahiltayal.com/ | Loaded; “SYNAPSE” idea laboratory confirmed (declares canonical synthesis.sahiltayal.com) | Yes — related worlds |
| https://underworld.sahiltayal.com/ | Not verified: automated access refused by the site’s robots rules; content could not be checked | No — omitted per the never-publish-unverified rule |
Simulation assumptions
2D, axis-aligned boxes without rotation, circles, sequential impulse contacts (3 passes, 4 substeps per 1/60 s frame), semi-implicit Euler, Coulomb friction with one μ, restitution disabled below 0.6 m/s impact, 0.5%/frame damping, softened inverse-square attractor (GM 30, softening 0.25 m). World 16 m × 10 m; g = 9.8 m/s² × slider.
References
- Feynman, Leighton & Sands, The Feynman Lectures on Physics, Vol. I (1963).
- OpenStax, University Physics Volume 1 (2016).
- Newton, Principia (1687).
- E. Catto, “Iterative Dynamics with Temporal Coherence”, GDC 2005.
- G. Fiedler, “Fix Your Timestep!”, Gaffer On Games (2004).
- I. Millington, Game Physics Engine Development, 2nd ed. (2010).
- PhET Interactive Simulations, University of Colorado Boulder.
None of these sources reviewed or endorse this project.