Fifteen Independent Derivations of Y = 7: Mathematical Convergence to a Universal Recursion Depth

Key Points

• This research aims to explore the mathematical convergence surrounding the derivation of Y = 7 across various disciplines.
• Derived Y = 7 independently from number theory, geometry, algebra, physics, and cognition.
• Calculated convergence probability with P < 10⁻⁸.
• Related Y = 7 to various constants and ratios.
• Confirmed Y = 7 yields the fine structure constant at 0.0022%.
• Identified Y = 7 in relation to all magic numbers.
• Associated Y = 7 with the CMB temperature at 0.13%.
• Established a link between Y = 7 and mass ratio at 0.0019%.

Abstract