Craft's Self-Referential Law

Description

Abstract

Craft’s Self-Referential Law provides a simple, internally consistent framework for modeling monotonically increasing sequences with power-law growth, fully defined by its own structure. It is directly applicable to population growth, viral metrics, downloads, views, and other cumulative systems.

Selfreferential , Discretesequences, Asymptotic , Recursive , Power-lawbased, Monotonic , Generative 

Why the Craft +1 Law Is Novel (Physics Perspective)

Most physics only talks about a few types of growth:

Linear → constant speed

Quadratic → constant acceleration (like gravity)

Exponential → things that multiply quickly, like populations

The Craft +1 Law shows a missing category: growth where the acceleration itself grows in a structured way.

Here’s how it works:

Squares grow by odd numbers → normal acceleration

Cubes grow by squares → acceleration is itself accelerating (jerk)

4th powers grow by cubes → acceleration grows even faster (snap)

And it keeps going for higher powers

Physics knows about jerk, snap, and higher-order changes, but almost nobody treats them as primary growth laws. This law does.

Basically, every higher power grows according to the previous one.

Squares → sum of odd numbers

Cubes → sum of squares

4th powers → sum of cubes

And so on

This makes it a generalized kinematic law — it shows how systems behave when the rate of change itself keeps growing in a structured way.