The Algebraic Genesis of Fibonacci Numbers: A Diagonal Projection Theory from Pascal's Combinatorial Space
Year: 2026
Type: article
Abstract: This dissertation establishes a comprehensive algebraic framework demonstrating that the Fibonacci sequence emerges as the result of a diagonal projection operator TTT applied to Pascal’s triangle. We introduce the diagonal projection operator as a linear transformation that maps the two-dimensional binomial coefficient space onto one-dimensional recursive sequences, providing the first rigorous operator-theoretic characterization of this classical relationship.
Authors: Revista, Zen, MATH, 10
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7124277600
FWCI:
Cites:
Cited by:
Related to: