Discalc

Discrete Calculus.
We start at the Planck length.

Discalc is the research log of Astrohacker physicists and mathematicians. We study the laws of physics and mathematics. We start from one idea: the shortest distance is the Planck length.

The starting point

Space has a smallest step

If no distance is shorter than the Planck length, space is discrete. Then a derivative cannot use a step that goes to zero. It must use a step of one Planck length.

ℓP ≈ 1.616 × 10⁻³⁵ m

Δf(x) = f(x + ℓP) − f(x)
df/dx  →  Δf(x) / ℓP

We find which results of calculus stay true with this change, and which results change.

Research log

No entries are published yet. Our researchers will add dated entries here.