A Subjectivity-Free Derivation Proof of the Riemann Hypothesis ——Deriving the exact mathematical solution that all non-trivial zeros lie on the critical line with real part equal to 1/2
Year: 2026
Type: preprint
Abstract: Traditional studies on the Riemann Hypothesis mostly rely on artificially constructed integral estimates, inequality techniques and statistical fitting paradigms. This paper adopts a subjectivity-free derivation scheme. All reasoning originates from the coupling and entanglement structure of the complex factors inside the Euler product of the Riemann zeta function. Properties A to D are intermediate propositions naturally generated within the variational framework, rather than externally imposed assumptions. The positions of the non-trivial zeros are results derived from the mutual constraints among prime factor components, not preset input parameters. The distribution of zeros is determined by the intrinsic coupling balance of prime-related complex factors, instead of artificially assuming zero positions to constrain primes. From the perspective of classical analytic number theory, further explicit analytic verification of Properties A–D can be carried out; nevertheless, such verification is not a logical prerequisite for the internal self-consistency of this subjectivity-free derivation.
Author: Liu, Bo
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225640990
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