Firoozbakht's Conjecture: Computational Analysis Through Temporal Dynamics Framework

This paper applies the Temporal Dynamics Framework to Firoozbakht's Conjecture (1982), which states that pₙ^1/n is strictly decreasing. Computational verification confirms zero violations across 664, 578 consecutive prime pairs up to 10⁷, with a maximum Firoozbakht ratio of 0. 9999993658. The absolute differences follow power-law convergence with exponent beta = -1. 889 and R-squared = 0. 998. A strong correlation of r = -0. 765 is found between the corrected resonance function and Firoozbakht differences. Twenty-two record prime gaps are analysed with Temporal Dynamics Framework metrics. All record gap primes above 3 satisfy the 6k plus-or-minus 1 structure with 100% compliance. Paper 27 in the Temporal Dynamics Framework Research Series.