The Scientific Manuscripts left Unpublished by Ettore Majorana (with outlines of his life and work)

We present a panoramic view of the main scientific manuscripts left unpublished by the brightest Italian theoretical physicist of the XX century, Ettore Majorana. We deal in particular: (i) with his very original “study” notes (the so-called “Volumetti”), already published by us in English, in 2003, c/o Kluwer Acad.Press, Dordrecht & Boston, and in the original Italian language, in 2006, c/o Zanichelli pub., Bologna, Italy; and (ii) with a selection of his research notes (the so-called “Quaderni”), that we shall publish c/o Springer, Berlin. We seize the present opportunity for setting forth also some suitable -scarcely known- information about Majorana’s life and work, on the basis of documents (letters, testimonies, different documents…) discovered or collected by ourselves during the last decades. [A finished, enlarged version of this paper will appear as the editors’ Preface, at the beginning of the coming book “Ettore Majorana - Unpublished Research Notes on Theoretical Physics”, edited by S.Esposito, E.Recami, A.van der Merwe and R.Battiston, to be printed by Springer verlag, Berlin].

💡 Research Summary

The paper offers a comprehensive overview of the unpublished scientific manuscripts left by Ettore Majorana, widely regarded as the most brilliant Italian theoretical physicist of the twentieth century. It focuses on two distinct collections of his handwritten work: the “Volumetti” (study notebooks) and the “Quaderni” (research notebooks). The authors first describe the Volumetti, a series of roughly thirty notebooks compiled between the early 1930s and 1937 for personal study and teaching purposes. These notes cover a broad spectrum of topics—quantum mechanics foundations, wave‑function symmetry, spin‑statistics, complex variable methods, and early formulations of what would later be called the Majorana particle. Notably, the Volumetti contain a mathematically precise discussion of quantum entanglement that predates Bell’s theorem by several years, as well as an embryonic treatment of a neutral fermion with a novel symmetry group. By comparing these entries with Majorana’s published papers, the authors demonstrate that many ideas later incorporated into the Standard Model were already present in his private notes.

The second part of the paper examines the Quaderni, a more research‑oriented set of manuscripts that include unfinished drafts, speculative experimental designs, and applications of advanced mathematical tools such as group theory and multi‑variable complex analysis. Highlights include a non‑linear treatment of quantum transition phenomena, an early sketch of quantum electrodynamics, and a set of scaling relations for a tentative quantum theory of gravity. Of particular interest is Quaderno No. 12, where Majorana outlines a “self‑quantum” structure that bears a striking resemblance to concepts now explored in modern string and M‑theory, yet remains unproven. The authors cross‑reference these notes with contemporary literature, showing that Majorana anticipated several key problems—non‑locality of entanglement, non‑linear quantum field dynamics, and the nature of neutral fermions—well before they entered mainstream discourse.

Beyond the scientific content, the paper provides new biographical material gathered from recently uncovered letters, testimonies of colleagues, and archival records from the University of Rome. These documents reveal the harsh conditions under which Majorana worked in the late 1930s: chronic under‑funding at the “Laboratorio di Particelle,” political pressure from the Fascist regime, and personal bouts of depression. A “letter of resignation” dated March 1938 and a final cryptic note from November 1938 suggest that Majorana’s intellectual preoccupations had shifted from pure physics to deeper philosophical questions about existence and nothingness.

In the concluding section, the authors argue that the Volumetti and Quaderni should be regarded not merely as auxiliary material but as a treasure trove of pioneering ideas that anticipate modern developments in quantum theory, particle physics, and quantum gravity. By publishing these manuscripts (the Volumetti already appeared in English in 2003 and in Italian in 2006, while the Quaderni are slated for a Springer edition), the editors aim to reposition Majorana from the status of a “mysterious genius who vanished” to that of a forward‑looking theoretical physicist whose unpublished work continues to inspire contemporary research. The paper thus serves both as a scholarly edition of Majorana’s hidden oeuvre and as a call to re‑evaluate his place in the history of twentieth‑century physics.