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Despite the big success, the old open questions at its very heart, such as the measurement problem and the wave function collapse, are still open. Various theories consider scenarios which could encompass a departure from the predictions of the standard QM, such as extra-dimensions or deformations of the Lorentz\/Poincar\u00e9 symmetries. At the Italian National Gran Sasso underground Laboratory LNGS, we search for evidence of new physics proceeding from models beyond standard QM, using radiation detectors. Collapse models addressing the foundations of QM, such as the gravity-related Di\u00f3si\u2013Penrose (DP) and Continuous Spontaneous Localization (CSL) models, predict the emission of spontaneous radiation, which allows experimental tests. Using a high-purity Germanium detector, we could exclude the natural parameterless version of the DP model and put strict bounds on the CSL one. In addition, forbidden atomic transitions could prove a possible violation of the Pauli Exclusion Principle (PEP) in open and closed systems. The VIP-2 experiment is currently in operation, aiming at detecting PEP-violating signals in Copper with electrons; the VIP-3 experiment upgrade is foreseen to become operative in the next few years. We discuss the VIP-Lead experiment on closed systems, and the strong bounds it sets on classes of non-commutative quantum gravity theories, such as the \u03b8\u2013Poincar\u00e9 theory.<\/jats:p>","DOI":"10.3390\/sym15020480","type":"journal-article","created":{"date-parts":[[2023,2,13]],"date-time":"2023-02-13T04:07:19Z","timestamp":1676261239000},"page":"480","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Underground Tests of Quantum Mechanics by the VIP Collaboration at Gran Sasso"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8686-5923","authenticated-orcid":false,"given":"Fabrizio","family":"Napolitano","sequence":"first","affiliation":[{"name":"INFN, Laboratori Nazionali di Frascati, Via E. Fermi 54, I-00044 Roma, Italy"}]},{"given":"Andrea","family":"Addazi","sequence":"additional","affiliation":[{"name":"INFN, Laboratori Nazionali di Frascati, Via E. 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Speakable and Unspeakable in Quantum Mechanics, Cambridge University Press.","DOI":"10.1017\/CBO9780511815676"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"470","DOI":"10.1103\/PhysRevD.34.470","article-title":"Unified dynamics for microscopic and macroscopic systems","volume":"34","author":"Ghirardi","year":"1986","journal-title":"Phys. Rev. D"},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Adler, S.L. (2004). Quantum Theory as an Emergent Phenomenon, Cambridge University Press.","DOI":"10.1017\/CBO9780511535277"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"062116","DOI":"10.1103\/PhysRevA.85.062116","article-title":"Collapse of the state vector","volume":"85","author":"Weinberg","year":"2012","journal-title":"Phys. Rev. A"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"581","DOI":"10.1007\/BF02105068","article-title":"On gravity\u2019s role in quantum state reduction","volume":"28","author":"Penrose","year":"1996","journal-title":"Gen. Relativ. Gravit."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"557","DOI":"10.1007\/s10701-013-9770-0","article-title":"On the gravitization of quantum mechanics 1: Quantum state reduction","volume":"44","author":"Penrose","year":"2014","journal-title":"Found. Phys."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"043047","DOI":"10.1088\/1367-2630\/ab104a","article-title":"Exploring the unification of quantum theory and general relativity with a Bose\u2013Einstein condensate","volume":"21","author":"Howl","year":"2019","journal-title":"New J. Phys."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"377","DOI":"10.1016\/0375-9601(87)90681-5","article-title":"A universal master equation for the gravitational violation of quantum mechanics","volume":"120","year":"1987","journal-title":"Phys. Lett. A"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"1165","DOI":"10.1103\/PhysRevA.40.1165","article-title":"Models for universal reduction of macroscopic quantum fluctuations","volume":"40","year":"1989","journal-title":"Phys. Rev. A"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1038\/s41567-020-1008-4","article-title":"Underground test of gravity-related wave function collapse","volume":"17","author":"Donadi","year":"2020","journal-title":"Nat. Phys."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1806","DOI":"10.1103\/PhysRevA.56.1806","article-title":"Spontaneous radiation of free electrons in a nonrelativistic collapse model","volume":"56","author":"Fu","year":"1997","journal-title":"Phys. Rev. A"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"2277","DOI":"10.1103\/PhysRevA.39.2277","article-title":"Combining stochastic dynamical state-vector reduction with spontaneous localization","volume":"39","author":"Pearle","year":"1989","journal-title":"Phys. Rev. A"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"78","DOI":"10.1103\/PhysRevA.42.78","article-title":"Markov processes in Hilbert space and continuous spontaneous localization of systems of identical particles","volume":"42","author":"Ghirardi","year":"1990","journal-title":"Phys. Rev. A"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"30","DOI":"10.1016\/S0920-5632(02)01302-6","article-title":"Physical instances of noncommuting coordinates","volume":"108","author":"Jackiw","year":"2002","journal-title":"Nucl. Phys."},{"key":"ref_18","unstructured":"von Meyenn, K. (1985). Wissenschaftlicher Briefwechsel mit Bohr, Einstein, Heisenberg u.a. Band II: 1930\u20131939, p.15\/Scientific Correspondence with Bohr, Einstein, Heisenberg a.o. Volume II: 1930\u20131939, p.15, Springer."},{"key":"ref_19","unstructured":"von Meyenn, K. (1993). Wissenschaftlicher Briefwechsel mit Bohr, Einstein, Heisenberg u.a. Band III: 1940\u20131949, p. 380\/Scientific Correspondence with Bohr, Einstein, Heisenberg, a.o., Volume III: 1940\u20131949, p. 380, Springer."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"032","DOI":"10.1088\/1126-6708\/1999\/09\/032","article-title":"String theory and noncommutative geometry","volume":"1999","author":"Seiberg","year":"1999","journal-title":"J. High Energy Phys."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"044005","DOI":"10.1103\/PhysRevD.95.044005","article-title":"Linking loop quantum gravity quantization ambiguities with phenomenology","volume":"95","author":"Brahma","year":"2017","journal-title":"Phys. Rev. D"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1016\/j.physletb.2016.06.048","article-title":"Deformed discrete symmetries","volume":"760","author":"Arzano","year":"2016","journal-title":"Phys. Lett. B"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"2042003","DOI":"10.1142\/S0217751X20420038","article-title":"A modern guide to \u03b8\u2013Poincar\u00e9","volume":"35","author":"Addazi","year":"2020","journal-title":"Int. J. Mod. Phys. A"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"084010","DOI":"10.1103\/PhysRevD.84.084010","article-title":"Principle of relative locality","volume":"84","author":"Freidel","year":"2011","journal-title":"Phys. Rev. D"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"34","DOI":"10.1038\/418034a","article-title":"Special treatment","volume":"418","year":"2002","journal-title":"Nature"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"131301","DOI":"10.1103\/PhysRevLett.129.131301","article-title":"Strongest Atomic Physics Bounds on Noncommutative Quantum Gravity Models","volume":"129","author":"Piscicchia","year":"2022","journal-title":"Phys. Rev. Lett."},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Donadi, S., Piscicchia, K., Grande, R.D., Curceanu, C., Laubenstein, M., and Bassi, A. (2021). Novel CSL bounds from the noise-induced radiation emission from atoms. Eur. Phys. J. C, 81.","DOI":"10.1140\/epjc\/s10052-021-09556-0"},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Carlesso, M., Bassi, A., Falferi, P., and Vinante, A. (2016). Experimental bounds on collapse models from gravitational wave detectors. Phys. Rev. D, 94.","DOI":"10.1103\/PhysRevD.94.124036"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"080401","DOI":"10.1103\/PhysRevLett.129.080401","article-title":"Search for Spontaneous Radiation from Wave Function Collapse in the Majorana Demonstrator","volume":"129","author":"Arnquist","year":"2022","journal-title":"Phys. Rev. Lett."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"2935","DOI":"10.1088\/1751-8113\/40\/12\/S03","article-title":"Lower and upper bounds on CSL parameters from latent image formation and IGM heating","volume":"40","author":"Adler","year":"2007","journal-title":"J. Phys. A"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"765","DOI":"10.1007\/BF02980631","article-title":"\u00dcber den Zusammenhang des Abschlusses der Elektronengruppen im Atom mit der Komplexstruktur der Spektren","volume":"31","author":"Pauli","year":"1925","journal-title":"Z. F\u00fcr Phys."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"1450","DOI":"10.1103\/PhysRev.110.1450","article-title":"Connection between Spin and Statistics","volume":"110","author":"Zumino","year":"1958","journal-title":"Phys. Rev."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"B248","DOI":"10.1103\/PhysRev.136.B248","article-title":"Symmetrization Postulate and Its Experimental Foundation","volume":"136","author":"Messiah","year":"1964","journal-title":"Phys. Rev."},{"key":"ref_34","first-page":"21","article-title":"Le Ultime Particelle Costitutive Della Materia","volume":"28","author":"Fermi","year":"1934","journal-title":"Scientia"},{"key":"ref_35","first-page":"6","article-title":"Search for slight violation of the Pauli principle","volume":"47","author":"Ignatiev","year":"1987","journal-title":"JETP Lett."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"2507","DOI":"10.1103\/PhysRevLett.59.2507","article-title":"Local Quantum Field Theory of Possible Violation of the Pauli Principle","volume":"59","author":"Greenberg","year":"1987","journal-title":"Phys. Rev. Lett."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"438","DOI":"10.1016\/0370-2693(90)91762-Z","article-title":"Experimental limit on a small violation of the Pauli principle","volume":"238","author":"Ramberg","year":"1990","journal-title":"Phys. Lett. B"},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1109\/TNS.2014.2379941","article-title":"Silicon Drift Detectors and CUBE Preamplifiers for High-Resolution X-ray Spectroscopy","volume":"62","author":"Quaglia","year":"2015","journal-title":"IEEE Trans. Nucl. Sci."},{"key":"ref_39","doi-asserted-by":"crossref","unstructured":"Napolitano, F., Bartalucci, S., Bertolucci, S., Bazzi, M., Bragadireanu, M., Capoccia, C., Cargnelli, M., Clozza, A., De Paolis, L., and Del Grande, R. (2022). Testing the Pauli Exclusion Principle with the VIP-2 Experiment. Symmetry, 14.","DOI":"10.3390\/sym14050893"},{"key":"ref_40","first-page":"529","article-title":"On the Possibility of Pauli Principle Violation in Atoms","volume":"46","author":"Okun","year":"1987","journal-title":"JETP Lett."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"3728","DOI":"10.1103\/PhysRevA.38.3728","article-title":"Thermodynamical implications of a violation of the Pauli principle","volume":"38","author":"Rahal","year":"1988","journal-title":"Phys. Rev. A"},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"508","DOI":"10.1140\/epjc\/s10052-020-8040-5","article-title":"Search for a remnant violation of the Pauli exclusion principle in a Roman lead target","volume":"80","author":"Piscicchia","year":"2020","journal-title":"Eur. Phys. J. C Part. Fields"},{"key":"ref_43","unstructured":"Curceanu, C., Napolitano, F., Bartalucci, S., Bertolucci, S., Bazzi, M., bragadireanu, M., Capoccia, C., Cargnelli, M., Clozza, A., and De Paolis, L. (December, January 29). Underground tests of Quantum Mechanics at Gran Sasso. Proceedings of the 7th Symposium on Prospects in the Physics of Discrete Symmetries, Bergen, Norway."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/15\/2\/480\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T18:31:21Z","timestamp":1760121081000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/15\/2\/480"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,2,11]]},"references-count":43,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2023,2]]}},"alternative-id":["sym15020480"],"URL":"https:\/\/doi.org\/10.3390\/sym15020480","relation":{},"ISSN":["2073-8994"],"issn-type":[{"value":"2073-8994","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,2,11]]}}}