用残余散射振幅解释黎曼ζ零点的量子化常数

Lam Kai Shun
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引用次数: 1

摘要

黎曼假说由伯恩哈德·黎曼于1859年提出。如今,在互联网社会或学术专业权威等方面,有很多证明或反驳。然而,他们都没有被克莱数学研究所接受为她的千年奖。在过去的几个月里,笔者发现黎曼Zeta函数的实部和虚部之间可能存在关联,比如黎曼函数的前10个非平凡零点等。事实上,当一个人试图把相关关系看作一个常数,就像普朗克常数一样。然后,我们可以证明黎曼ζ零点确实是离散量子能级或离散谱,因为电子从某个束缚量子态下降到更低的能量态(或量子场论)。这可以用雷曼散射振幅或s矩阵进一步解释。我们可以用HKLam理论来近似s矩阵,并预测散射振幅甚至Riemann Zeta非平凡零点等。顺便说一下,在接下来的内容中,重点研究的方程或公式将围绕黎曼ζ函数的泰勒展开式及其收敛性等。另外,我还将调查(*”),如下所示:∏_ (I = 1) ^∞▒(z-z_i) =ξ(0.5 + I * t) =(∑_ (n = 1) ^∞▒1)⁄n ^((我* 0.5 + t)) =∏_ (j = 1) ^∞▒(1 - 1⁄(p_j ^((我* 0.5 + t)))) ^ (1 ) ------------ (*’’) 我们可能会发现一些普朗克常数等的存在。对于上述学术成果的应用,众所周知,如果能够找到素数的出现模式,从而在日常使用的信息技术安全等方面破解公钥加密。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
The Quantized Constants with Remmen’s Scattering Amplitude to Explain Riemann Zeta Zeros
Riemann Hypothesis has been proposed by Bernhard Riemann since year 1859. Nowadays, there are lots of proof or disproof all over the internet society or the academic professional authority etc. However, none of them is accepted by the Clay’s Mathematics Institute for her Millennium Prize. In the past few months, this author discovered that there may be a correlation exists between the real and imaginary parts of Riemann Zeta function for the first 10 non-trivial zeros of the Riemann function etc. Indeed, when one tries to view the correlation relationship as a constant like the Planck’s one. Then we may show that Riemann Zeta zeros are indeed discrete quantum energy levels or the discrete spectrum as electrons falling from some bound quantum state to a lower energy state (or Quantum Field Theory). That may be further explained by Remmen’s scattering amplitude or the S-matrix. We may approximate the S-matrix by applying the HKLam theory to it and predict the scattering amplitude or even the Riemann Zeta non-trival zeros etc. By the way, the key researching equations or formula in the following content will be around the Taylor expansion of the Riemann Zeta function, their convergence etc. In additional, I will also investigate the (*’’) as shown below: ∏_(i=1)^∞▒(z-z_i ) = ξ(0.5 + i*t) = (∑_(n=1)^∞▒1)⁄n^((0.5+i*t) ) = ∏_(j=1)^∞▒(1-1⁄(p_j^((0.5+i*t) ) ))^(-1) ------------ (*’’) as we may find the existence of some constants like the Planck’s one. For the application of the aforementioned scholarly outcome, it is well-known that if one can find the pattern of the appearance to the prime number and hence break the public key cryptography in the everyday usage of information technology security etc.
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