The Provisional Conclusion of a Joyful Hobby

This website presents the results of a mathematician’s long-standing hobby, pursued during his even longer career in industry. The considered  topics of this hobby project concern 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., the Riemann Hypothesis, and the irrationality of the Euler-Mascheroni number.

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

A new representation of the meromorphic symmetrical form of the zeta function and a toolbox to enable non-harmonic Fourier series theory in the context of density theorems and the determination of the rate of growth of analytic functions from their growth on sequences of points.

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.