Fundamental Accuracy-Resolution Trade-Off for Timekeeping Devices.

From a thermodynamic point of view, all clocks are driven by irreversible processes. Additionally, one can use oscillatory systems to temporally modulate the thermodynamic flux towards equilibrium. Focusing on the most elementary thermalization events, this modulation can be thought of as a temporal probability concentration for these events. There are two fundamental factors limiting the performance of clocks: On the one level, the inevitable drifts of the oscillatory system, which are addressed by finding stable atomic or nuclear transitions that lead to astounding precision of today's clocks. On the other level, there is the intrinsically stochastic nature of the irreversible events upon which the clock's operation is based. This becomes relevant when seeking to maximize a clock's resolution at high accuracy, which is ultimately limited by the number of such stochastic events per reference time unit. We address this essential trade-off between clock accuracy and resolution, proving a universal bound for all clocks whose elementary thermalization events are memoryless.

"Philosophysics" at the University of Vienna: The (Pre-)History of Foundations of Quantum Physics in the Viennese Cultural Context.

Vienna today is one of the capitals of research on foundations of quantum physics. We reconstruct the development of modern physics in Vienna, with a focus on foundations of quantum mechanics (FQM), which is a sub-field of quantum mechanics. We show that the influence of Erwin Schrödinger and, in more recent years, the initiatives of Anton Zeilinger-the two main intuitive reasons-cannot alone account for today's outstanding research landscape on FQM in Vienna. We highlight four additional factors that played a crucial role in the development of foundational research in Vienna: 1) the Viennese heritage of the cultural golden age just before World War II; 2) the long-lasting institutional connection between the faculty of physics and philosophy; 3) a rise of several initiatives that gave forum to the interplay of physics and philosophy; and 4) the influence of several external scholars in the Viennese scientific landscape. Our analysis is informed by interviews with the most pertinent scientists, a detailed survey of the relevant social networks, and review of the main primary literature.