We are pleased to announce the official publication of the Springer Proceedings of GSI’25! The full proceedings are available across three volumes:

• Volume 1: Springer – Volume 1
• Volume 2: Springer – Volume 2
• Volume 3: Springer – Volume 3

These volumes bring together the selected scientific contributions, including articles, demonstrations, and the latest findings in information geometry, statistics, quantum physics, and beyond.

We warmly thank all the authors for the high quality of their work, as well as our partner Springer for supporting the dissemination of these results.