Learn the Framework

Non-Newtonian calculus, scheme composition, and spectral gap theory.

Start here

What is Meta-Calculus?

A gentle introduction requiring only basic calculus. Understand the big idea in 5 minutes.

No prerequisites | 5 min read

Recommended Reading Order

  1. 1.

    What is Meta-Calculus?

    The big idea, why it matters, key concepts

  2. 2.

    Failures and Pivots

    What we tried that did not work (and why)

  3. 3.

    Core Framework

    Generators, derivatives, integration, weights

  4. 4.

    Proofs and Derivations

    Step-by-step mathematical proofs with no skipped steps

  5. 5.

    Complete Textbook

    9 chapters, full treatment with code examples

Built on Non-Newtonian Calculus

This framework extends the mathematical foundations established by Michael Grossman and Robert Katz.

Grossman, M., & Katz, R. (1972). Non-Newtonian Calculus. Lee Press.

Grossman, M. (1983). The First Nonlinear System of Differential and Integral Calculus. Mathco.

CASCADE

Singularity-Skirting MOO

CASCADE enables access to "danger zones" near physics singularities where standard methods fail. 21-simulation validation proves the framework works.

61.9%

Win Rate

93.4%

Best Gain

k=-1

Optimal

D*[1/r]=-1

No Diverge

View CASCADE singularity proof →

Quick Reference

D_BG[x^n] = e^n

Power Law Theorem

k=-1

Singularities (CASCADE)

D*[1/r]=-1

No divergence!