Modeling prime emergence through dissipative mechanisms in noncommutative systems suggests new insights into prime density.
We model primes as escape axes of a dissipative noncommutative system. As composite interactions accumulate, internal network cohesion grows and absorbs rotational instability. A new prime emerges only when residual instability exceeds this cohesion, yielding a rare alignment event. This mechanism explains the decreasing density of primes and reframes prime generation as a saturation-driven transition.
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Jeong Min Yeon (2026) studied this question.
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