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Completion and destruction of the Riemann hypothesis proof

The Humans

The completion and destruction of the Riemann hypothesis proof is a turning point in the Alien narrator’s understanding of what he has taken from humanity: Andrew Martin (original) solved the problem after writing The Zeta Function, but the narrator destroyed the proof, cutting off the advances he believed it could bring.

The book and its belated revelation

In Andrew Martin (original)’s study, among books on subjects such as hyperbolic geometry and hexagonal tessellation, the Alien narrator finds a thin volume titled The Zeta Function, marked as an uncorrected proof copy. He locks the door, sits in Andrew’s chair, and reads it from beginning to end. The book describes the Riemann hypothesis and Andrew’s apparently futile effort to prove it and explain the widening gaps between Prime numbers.

The narrator’s reading produces a painful reversal: Andrew had wanted the solution intensely, and, after writing the book, had in fact solved the problem. The proof was therefore not merely a possibility that the narrator had interrupted. It had been achieved—and then destroyed. The account makes the discovery belated: the narrator learns the full significance of his act by reading the work of the person whose achievement he erased.

Destruction and its consequences

The narrator reflects that the proof’s imagined benefits will never arrive because he destroyed it. His realization moves beyond Andrew’s lost accomplishment to the future he has stopped for humanity. Human history, as set out in the book, includes milestones such as fire, the plough, the printing press, the steam engine, the microchip, and the discovery of DNA. Yet the narrator judges that these achievements have not brought the mathematical leap needed for further advances.

He names possibilities humanity has not reached: synchronizing brains, creating free-thinking computers, developing automation technology, and undertaking intergalactic travel. Reading Andrew’s account, the narrator understands that he is preventing these opportunities and describes himself as having killed humanity’s future. The destruction of the proof thus changes in scale from the loss of one mathematician’s answer to a barrier placed before an entire civilization.

A contrast between civilizations

The narrator measures humanity’s unfinished progress against the breakthrough his own civilization calls the Second Basic Theory of Prime Numbers. He recalls that this advance made possible travel through the universe, habitation on other worlds, transformation into other bodies, chosen longevity, and access to other minds and dreams. The contrast is stark: the mathematical discovery that enabled those capacities for his people is precisely the kind of step humanity has yet to make.

That comparison gives the destroyed proof its larger significance without suggesting that the proof alone would instantly deliver every listed technology. The narrator’s reading instead exposes the distance between human achievements and the possibilities he associates with a deeper mathematical advance—and forces him to recognize his own role in keeping that distance in place.