LAPL
lapl.asia · Laplace · Δ · spectra · papers

Infernal mathematics,
rendered as design.

Not prediction. Not vibes. Operators.
We define the object, decompose it into spectra, and seal the result as an invariant signature.

Background runs a discrete Laplacian field. Click to inject energy. Scroll to switch modes.
live Δ-field

Operator

\( \Delta u = \nabla^2 u \)
A judge of deviation from the local mean. Curvature, confessed as computation.

Transform

\( \mathcal{L}\{f\}(s)=\int_0^\infty e^{-st}f(t)\,dt \)
Time becomes algebra. The future becomes solvable.

Status

Papers and notes are published here.
Docs site will live under /docs/ (VitePress).

About

operator-first thinking

Define

Make it operator-ready. Undefined objects cannot be computed.

Decompose

Split complexity into modes. eigen is not decoration; it’s anatomy.

Seal

Keep invariants. Discard noise. Publish the signature.

Papers & Notes

latest drops

Coming soon

When you upload a PDF/MD, it will appear here as an entry with metadata + download link.

Index format

Recommended: YYYY-MM-DD-title.pdf
and optional abstract in .md.

Docs

Future VitePress site: /docs/
Landing stays at /.

Upload

UI now, backend later
This is a static site right now. The button is wired to POST /api/upload (not installed yet).
Next step: a minimal upload API (FastAPI/Node) or object-storage presigned uploads.