Author: Francesca Perez
Definition: Nano Numbers are the infinitesimal components that form the internal structure of numbers, analogous to how atoms form matter.
Core Principle: Every number
Inspired by non-standard analysis:
Where:
Each number has "layers" of nano numbers that interact.
Where:
Nano numbers exhibit exponential decay:
Adding two macro numbers involves summing their nano layers:
The product of two numbers is derived from the cross-interaction of their nano layers:
Division operates layer-by-layer:
Introduce fractal structures and layers:
Example:
Nano numbers can model quantum uncertainty, such as nano components of energy levels.
Useful for material science at nanoscale dimensions.
Nano numbers could redefine randomness at a mathematical level.
Defining derivatives at the nano level:
Summing infinitesimals within a number:
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