The Leibniz project

Jochen Szangolies

Christoph Hartmann

Withdrawn by the author. This document was produced in an exploratory project with AI language models (2025–2026). An independent check in September 2026 found that it contains mathematical errors and novelty claims that cannot be upheld. Its correct mathematical content is either standard theory or is covered, with complete proofs, in:C. Hartmann, Second-order generators with quadratic Leibniz defect on M_n: a self-contained study of ½[H,[H,·]] + [K,·], Zenodo (2026), DOI: [https://doi.org/10.5281/zenodo.22967633].Please cite that text instead. This version is kept for the record only.

Dongfen Li

Marek Kuś

Leibniz’s principium identitatis indiscernibilium excludes the existence of two different objects possessing all properties identical. Although perfectly acceptable for macroscopic systems, it becomes questionable in quantum mechanics, where the concept of identical particles is quite natural and has measurable consequences. On the other hand, Leibniz’s principle seems to be indispensable when we want to individuate an item and ascribe to it particular property (e.g. value of the projection of spin on a chosen axis). We may thus abandon the principle on the quantum level, claiming it falsity here, or (better) try to find other ways of individuation of objects, possibly by adopting appropriately the very concept of it. All these problems, and many other connected with identity and indiscernibility of quantum objects, are thoroughly discussed in the book of Tomasz Bigaj, unique in the world literature due to its comprehensiveness.

Yanhua H. Shih

Tim van Zoest, T. Müller, Thijs Wendrich +16 more

In this proceeding we present ongoing projects concerning high resolution measurements developed for future space missions based on ultracold atoms at the Institut fur Quantenoptik (IQ) of the Leibniz-Universitat Hannover. This work involves the realization of a Bose Einstein condensate in microgravitational environment and an inertial atomic quantum sensor.