{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,7]],"date-time":"2026-02-07T18:51:06Z","timestamp":1770490266347,"version":"3.49.0"},"reference-count":47,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2022,8,29]],"date-time":"2022-08-29T00:00:00Z","timestamp":1661731200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Zenit Arti Audiovisive, Torino, Italy"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Trees employ impulses of electrical activity to coordinate actions of their bodies and long-distance communication. There are indications that the vascular system might act as a network of pathways for traveling electrical impulses. A question arises about the correlation and interplay between the molecular (microscopic) level and the macroscopic observable behavior of the system (the electrical impulses), for individual trees and as a component of the larger living ecosystem, the forest. Results from the \u201cCyberforest Experiment\u201d in the Paneveggio forest (Valle di Fiemme, Trento, Italy) are presented. It is shown that: (i) biopotential features of xylem biomolecular activity can be correlated with the solar (and lunar) cycle, (ii) tree stubs show an electrical molecular activity that is correlated with that of neighboring trees, (iii) statistical features of spike-like peaks and entropy can be correlated with corresponding thermal entropy, and (iv) basic symmetries of the quantum field theory dynamics are responsible for the entanglement phenomenon in the molecular interactions resulting in the molecular collective behavior of the forest. Findings suggest implementing technology that goes in the direction of understanding the language of trees, eventually of fungi, which have created a universal living network perhaps using a common language.<\/jats:p>","DOI":"10.3390\/sym14091792","type":"journal-article","created":{"date-parts":[[2022,8,31]],"date-time":"2022-08-31T02:09:36Z","timestamp":1661911776000},"page":"1792","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Molecular Collective Response and Dynamical Symmetry Properties in Biopotentials of Superior Plants: Experimental Observations and Quantum Field Theory Modeling"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9328-2999","authenticated-orcid":false,"given":"Alessandro","family":"Chiolerio","sequence":"first","affiliation":[{"name":"Center for Converging Technologies, Bioinspired Soft Robotics, Istituto Italiano di Tecnologia, Via Morego 30, 16163 Genova, Italy"},{"name":"Unconventional Computing Laboratory, University of the West of England, Bristol BS16 1QY, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8112-5419","authenticated-orcid":false,"given":"Mohammad Mahdi","family":"Dehshibi","sequence":"additional","affiliation":[{"name":"Unconventional Computing Laboratory, University of the West of England, Bristol BS16 1QY, UK"},{"name":"Department of Computer Science and Engineering, Universidad Carlos III de Madrid, Legan\u00e9s, 28911 Madrid, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5710-7904","authenticated-orcid":false,"given":"Giuseppe","family":"Vitiello","sequence":"additional","affiliation":[{"name":"Dipartimento di Fisica \u201cE.R.Caianiello\u201d, Universit\u00e0 degli Studi di Salerno, 84013 Fisciano, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1073-2662","authenticated-orcid":false,"given":"Andrew","family":"Adamatzky","sequence":"additional","affiliation":[{"name":"Unconventional Computing Laboratory, University of the West of England, Bristol BS16 1QY, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,8,29]]},"reference":[{"key":"ref_1","unstructured":"Tallent-Halsell, N.G. (1994). Forest Health Monitoring: Field Methods Guide, Environmental Protection Agency. Technical Report."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Lausch, A., Borg, E., Bumberger, J., Dietrich, P., Heurich, M., Huth, A., Jung, A., Klenke, R., Knapp, S., and Mollenhauer, H. (2018). Understanding forest health with remote sensing, part III: Requirements for a scalable multi-source forest health monitoring network based on data science approaches. Remote Sens., 10.","DOI":"10.3390\/rs10071120"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1023\/A:1005905310299","article-title":"Forest health monitoring in the United States: First four years","volume":"55","author":"Alexander","year":"1999","journal-title":"Environ. Monit. Assess."},{"key":"ref_4","unstructured":"Mark, H., and Thomas, B. (2000). Tracking the health of trees over time on forest health monitoring plots. Integrated Tools for Natural Resources Inventories in the 21st Century: An International Conference on the Inventory and Monitoring of Forested Ecosystems, 16\u201319 August 1998, US Department of Agriculture, Forest Service, North Central Research Station. Boise, ID. Gen. Tech. Rep. NCRS-212."},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Coulston, J.W., Ambrose, M.J., Riitters, K.H., and Conkling, B.L. (2005). Forest Health Monitoring: 2002 National Technical Report, US Department of Agriculture, Forest Service, Southern Research Station. Gen. Tech. Rep. SRS-84.","DOI":"10.2737\/SRS-GTR-84"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"134247","DOI":"10.1016\/j.scitotenv.2019.134247","article-title":"Impact of local soil and subsoil conditions on inter-individual variations in tree responses to drought: Insights from Electrical Resistivity Tomography","volume":"698","author":"Ruffault","year":"2020","journal-title":"Sci. Total Environ."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"179","DOI":"10.3997\/1873-0604.2005043","article-title":"Electrical resistivity imaging of tree trunks","volume":"4","year":"2006","journal-title":"Near Surf. Geophys."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"108058","DOI":"10.1016\/j.agrformet.2020.108058","article-title":"Temporal and spatial variation in water content within living tree stems determined by electrical resistivity tomography","volume":"291","author":"Luo","year":"2020","journal-title":"Agric. For. Meteorol."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1455","DOI":"10.3389\/fpls.2019.01455","article-title":"Noninvasive Analysis of Tree Stems by Electrical Resistivity Tomography: Unraveling the Effects of Temperature, Water Status, and Electrode Installation","volume":"10","author":"Ganthaler","year":"2019","journal-title":"Front. Plant Sci."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1016\/j.tplants.2006.06.009","article-title":"Plant neurobiology: An integrated view of plant signaling","volume":"11","author":"Brenner","year":"2006","journal-title":"Trends Plant Sci."},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Balu\u0161ka, F., Mancuso, S., and Volkmann, D. (2006). Communication in Plants: Neuronal Aspects of Plant Life, Springer.","DOI":"10.1007\/3-540-28516-4"},{"key":"ref_12","unstructured":"Mancuso, S., and Viola, A. (2015). Brilliant Green: The Surprising History and Science of Plant Intelligence, Island Press."},{"key":"ref_13","first-page":"1","article-title":"Do trees talk to each other?","volume":"180968084","author":"Grant","year":"2018","journal-title":"Smithson. Mag."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/s10339-008-0239-6","article-title":"Plant neurobiology: From sensory biology, via plant communication, to social plant behavior","volume":"10","author":"Mancuso","year":"2009","journal-title":"Cogn. Process."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"376","DOI":"10.1016\/j.tplants.2016.01.016","article-title":"Electrical wiring and long-distance plant communication","volume":"21","author":"Hedrich","year":"2016","journal-title":"Trends Plant Sci."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"plv050","DOI":"10.1093\/aobpla\/plv050","article-title":"Inter-plant communication through mycorrhizal networks mediates complex adaptive behaviour in plant communities","volume":"7","author":"Gorzelak","year":"2015","journal-title":"AoB Plants"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"20190763","DOI":"10.1098\/rstb.2019.0763","article-title":"Spontaneous electrical low-frequency oscillations: A possible role in Hydra and all living systems","volume":"376","author":"Hanson","year":"2021","journal-title":"Philos. Trans. R. Soc. B Biol. Sci."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1080\/19420889.2020.1757207","article-title":"Underground electrotonic signal transmission between plants","volume":"13","author":"Volkov","year":"2020","journal-title":"Commun. Integr. Biol."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"211926","DOI":"10.1098\/rsos.211926","article-title":"Language of fungi derived from their electrical spiking activity","volume":"9","author":"Adamatzky","year":"2022","journal-title":"R. Soc. Open Sci."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"72","DOI":"10.3832\/ifor0530-003","article-title":"Monitoring spatial and temporal pattern of Paneveggio forest (northern Italy) from 1859 to 2006","volume":"3","author":"Tattoni","year":"2010","journal-title":"iForest-Biogeosci. For."},{"key":"ref_21","unstructured":"Auricchio, L., Cook, E., and Pacini, G. (2012). \u2018Fatto di Fiemme\u2019: Stradivari\u2019s violins and the musical trees of the Paneveggio. Invaluable Trees: Cultures of Nature, Voltaire Foundation."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1078\/1125-7865-00033","article-title":"Stradivari, violins, tree rings, and the Maunder Minimum: A hypothesis","volume":"21","author":"Burckle","year":"2003","journal-title":"Dendrochronologia"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1434","DOI":"10.1126\/science.abj3823","article-title":"Tree-ring dating of musical instruments","volume":"373","author":"Cherubini","year":"2021","journal-title":"Science"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"842","DOI":"10.1103\/PhysRevA.36.842","article-title":"Easily calculable measure for the complexity of spatiotemporal patterns","volume":"36","author":"Kaspar","year":"1987","journal-title":"Phys. Rev. A"},{"key":"ref_25","unstructured":"R\u00e9nyi, A. (1961). On measures of entropy and information. Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, Volume 1: Contributions to the Theory of Statistics, University of California Press."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1007\/BF01016429","article-title":"Possible generalization of Boltzmann-Gibbs statistics","volume":"52","author":"Tsallis","year":"1988","journal-title":"J. Stat. Phys."},{"key":"ref_27","first-page":"2806","article-title":"Spontaneous breakdown of a non-Abelian symmetry","volume":"D9","author":"Matsumoto","year":"1974","journal-title":"Phys. Rev."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"4724","DOI":"10.1103\/PhysRevB.10.4724","article-title":"Relation among spin operators and magnons","volume":"B10","author":"Shah","year":"1974","journal-title":"Phys. Rev."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1016\/0550-3213(75)90215-1","article-title":"Dynamical rearrangement in Anderson-Higgs-Kibble mechanism","volume":"97","author":"Matsumoto","year":"1975","journal-title":"Nucl. Phys. B"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1016\/0550-3213(85)90267-6","article-title":"A quantum field theoretical approach to the collective behaviour of biological systems","volume":"251","author":"Doglia","year":"1985","journal-title":"Nucl. Phys. B"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1016\/0550-3213(86)90595-X","article-title":"Electromagnetic field and spontaneous symmetry breaking in biological matter","volume":"275","author":"Doglia","year":"1986","journal-title":"Nucl. Phys. B"},{"key":"ref_32","unstructured":"Itzykson, C., and Zuber, J. (1980). Electromagnetic Field and Spontaneous Symmetry Breaking in Biological Matter, McGraw-Hill."},{"key":"ref_33","unstructured":"Umezawa, H., Matsumoto, H., and Tachiki, M. (1982). Thermo Field Dynamics and Condensed States, North-Holland."},{"key":"ref_34","unstructured":"Umezawa, H. (1993). Advanced Field Theory: Micro, Macro, and Thermal Physics, AIP."},{"key":"ref_35","doi-asserted-by":"crossref","unstructured":"Blasone, M., Jizba, P., and Vitiello, G. (2011). Quantum Field Theory and Its Macroscopic Manifestations, Imperial College Press.","DOI":"10.1142\/9781848162815"},{"key":"ref_36","unstructured":"Fermi, E. (1958). Termodinamica, Boringhieri."},{"key":"ref_37","unstructured":"Landau, L., and Lifshitz, E.M. (1958). Statistical Physics, Pergamon Press."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"063821","DOI":"10.1103\/PhysRevA.81.063821","article-title":"Energy concentration in composite quantum systems","volume":"81","author":"Kurcz","year":"2010","journal-title":"Phys. Rev. A"},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"90","DOI":"10.1016\/0550-3213(75)90216-3","article-title":"The boson transformation and the vortex solutions","volume":"97","author":"Matsumoto","year":"1975","journal-title":"Nucl. Phys. B"},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"eabl5855","DOI":"10.1126\/sciadv.abl5855","article-title":"Experimental evidence for long-distance electrodynamic intermolecular forces","volume":"8","author":"Lechelon","year":"2022","journal-title":"Sci. Adv."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"156","DOI":"10.1016\/0003-4916(92)90302-3","article-title":"Quantum Dissipation","volume":"215","author":"Celeghini","year":"1992","journal-title":"Ann. Phys."},{"key":"ref_42","doi-asserted-by":"crossref","unstructured":"Perelomov, A. (1986). Generalized Coherent States and Their Applications, Springer.","DOI":"10.1007\/978-3-642-61629-7"},{"key":"ref_43","unstructured":"Hilborn, R. (1994). Chaos and Nonlinear Dynamics, Oxford University Press."},{"key":"ref_44","doi-asserted-by":"crossref","unstructured":"Gerry, C., and Knight, P. (2005). Introductory Quantum Optics, Cambridge University Press.","DOI":"10.1017\/CBO9780511791239"},{"key":"ref_45","doi-asserted-by":"crossref","unstructured":"Sabbadini, S., and Vitiello, G. (2019). Entanglement and phase-mediated correlations in quantum field theory. Application to brain-mind states. Appl. Sci., 9.","DOI":"10.3390\/app9153203"},{"key":"ref_46","unstructured":"Lee, R.A. (2012). The Stability of Wood Resin Colloids in Paper Manufacture. [Ph.D. Thesis, University of Tasmania]."},{"key":"ref_47","doi-asserted-by":"crossref","unstructured":"Douros, A., Christopoulou, A., Kikionis, S., Nikolaou, K., and Skaltsa, H. (2019). Volatile Components of Heartwood, Sapwood, and Resin from a Dated Cedrus brevifolia. Nat. Prod. Commun., 14.","DOI":"10.1177\/1934578X19859125"}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/14\/9\/1792\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T00:19:25Z","timestamp":1760141965000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/14\/9\/1792"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,8,29]]},"references-count":47,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2022,9]]}},"alternative-id":["sym14091792"],"URL":"https:\/\/doi.org\/10.3390\/sym14091792","relation":{},"ISSN":["2073-8994"],"issn-type":[{"value":"2073-8994","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,8,29]]}}}