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arXiv · 1212.4969

Polynomial time factoring algorithm using Bayesian arithmetic

Michel Feldmann
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Abstract

In a previous paper, we have shown that any Boolean formula can be encoded as a linear programming problem in the framework of Bayesian probability theory. When applied to NP-complete algorithms, this leads to the fundamental conclusion that P = NP. Now, we implement this concept in elementary arithmetic and especially in multiplication. This provides a polynomial time deterministic factoring algorithm, while no such algorithm is known to day. This result clearly appeals for a revaluation of the current cryptosystems. The Bayesian arithmetic environment can also be regarded as a toy model for quantum mechanics.

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Michel Feldmann. 2012-12-20. Polynomial time factoring algorithm using Bayesian arithmetic. https://arxiv.org/abs/1212.4969

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