This website presents the results of a mathematician’s long-standing hobby, pursued during his even longer career in industry. The three topics of this hobby project concern the Riemann Hypothesis, the irrationality of the Euler-Mascheroni number, and the broad range of problems from a physics perspective that lie behind the concepts of experimental and theoretical physics, “wave-particle dualism, matter, field, vacuum,” etc.
Quantum Dynamics
In our paper, we explore the distinction between dynamic and statistical approaches in physics, proposing a novel Hilbert space-based formulation of quantum dynamics that integrates classical mechanics through new concepts of quantum fluctuations. We invite you to check out our findings on how these ideas can reshape our understanding of classical phenomena and the underlying quantum dynamics.
Riemann Hypothesis
We present a new approach to the Riemann Hypothesis by introducing a sum representation of the meromorphic zeta function, which allows us to characterize the zeros of the proper zeta function through an identity of two alternating power series. This perspective challenges the traditional views and opens up fresh avenues for understanding the distribution of nontrivial solutions.
Euler–Mascheroni Constant
A strictly monotonous sequence is provided that starts at 0 and approaches the Euler-Mascheroni constant, demonstrating its irrationality through Bessel function based transcendental values.