Harmonic space is married to real space through an equivalence relation which requires that the two observation methods agree on the result of a common event. For each fundamental constant the equivalence relation has a specific solution set. It contains the coding pattern for combining the individual harmonics for equivalence. Each combination establishes a specific harmonic mode.

** DOWNLOAD ARTICLES **

Modal Harmonics and the Coding Patterns of Nature (3/10/2014)

A Solution to the Reimann Hypothesis(9/9/2014)

• Simplifications & Corrections to the Pi Harmonics (10/27/2014)
• Prime Number Table Formula (5/20/2015)

Casey’s Curves 24″ x 36″ Posters

• Abstract for Sheets 1 & 2 (4/19/2016)
• Sheet 1 – e, π & natural log (4/22/2016)
• Sheet 2 – Fibonacci Series, Golden Triangle & π² (5/2/2016)
• Sheet 3 – π³ & Summary of Some of the Simple Harmonics (7/6/2018)
• Sheet 3.1 – Summary of Some of the Simple Harmonics (cont’d) (7/16/2018)
• Sheet 3.1- Revised (2/7/2024)
• Sheet 3.2 (2/7/2024)
• Sheet 3.3 (2/7/2024)

Free hard copies are available upon request.

• Sheet 4.0 (2/7/2024)
• Sheet 4.1 (2/7/2024)
• Sheet 4.2 (2/7/2024)
• Sheet 4.3 (2/7/2024)
• Sheet 4.4 (2/7/2024)
• Sheet 4.5 (2/7/2024)
• Sheet 4.6 (2/7/2024)
• Sheet 5 (2/7/2024)