This framework approaches the Riemann Hypothesis from a structural and dynamical viewpoint. Instead of studying the analytic properties of the Riemann zeta function directly, the argument interprets the non-trivial zeros as events generated by the collective phase behavior of the primes. In the geometric model, the primes create a phase field along a cylindrical prime bundle. A non-trivial zero corresponds to a moment when two hemispheric energy sectors of this structure—called the NS-face and the YM-face—reach perfect energy balance. This balance is hypothesized to occur only on the critical line. Because the zeta function has infinitely many zeros, tracking each zero individually is impossible. To overcome this difficulty, the framework introduces three structural tools. First, the zero-sheet acts as a measuring surface for the global energy balance generated by the primes. Instead of locating zeros directly, the sheet responds dynamically to the prime phase field. When the hemispheric forces are balanced, the sheet remains stable. When the system moves away from the critical line, the imbalance activates a drift that causes the sheet to polarize toward one side of the cylinder. Second, this imbalance creates a race condition between two competing processes. On one side, the geometric imbalance drives the sheet toward collapse in a finite characteristic time. On the other side, forming a non-trivial zero requires the primes to achieve large-scale phase cancellation, which takes extremely long time due to deep independence properties of prime logarithms (related to work of Alan Baker and Gisbert Wüstholz). Because the collapse happens much faster than the time needed for phase alignment, the geometric structure required to sustain an off-critical zero is destroyed before such a zero can form. Third, the model introduces a reset mechanism. Whenever the sheet collapses, it is returned to its initial flat state. Since the prime forcing remains unchanged, each cycle repeats the same evolution. This creates a periodic obstruction: the system repeatedly collapses before a zero can stabilize away from the critical line. The only configuration where this collapse never occurs is when the hemispheric forces are exactly balanced. In the geometric model, this happens only on the critical line. As a result, the framework suggests that non-trivial zeros can exist only there. The argument is supported by two complementary logical directions. The first shows that prime phase cancellation implies hemispheric energy balance, which the geometric model allows only on the critical line. The second assumes an off-critical zero and derives a contradiction: the geometric system collapses before the required phase cancellation can occur. Both arguments ultimately depend on a shared structural link between prime phase cancellation and hemispheric energy balance. Establishing this correspondence rigorously remains the main open step. Resolving this analytic gap would complete the translation of the Riemann Hypothesis into a geometric and dynamical statement about the collective behavior of primes.
Jeong Min Yeon (Mon,) studied this question.