The Golden Structure of Prime Numbers

This paper develops a recursive normalization framework for comparing prime-admissible
numbers, twin-prime structures, and cousin-prime structures on the integer number line.

Revision 1 - Significant rewrite for clarity, and consistency.

Revision 2-  Revised Final Theorem to be more clear.

Revision 3 (2.2) Added a Table of calculations showing the steps taken.

Revision 4 Improved Final Theorem and previous section based on feedback. Included certification of twin primes.

Revision 5 : Extensive rewrite to establish a stronger connection between the three complimentary frameworks. Tightened and refined logic.

Revision6: Improved langauge and clarified for brevity.

Revision 7 : Improved Langauge and clarified for brevity again (down to 16 pages now)

Revision8:  Made connection between Phi and Twin primes more rigorous.
Revision 8.1 : Clarified wording in Prime Persistence subsection. 

Revision 9 : Clarified the exact equations used in the computation section, and updated the language to reflect that.