{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,7]],"date-time":"2026-04-07T04:58:50Z","timestamp":1775537930116,"version":"3.50.1"},"reference-count":82,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2019,12,18]],"date-time":"2019-12-18T00:00:00Z","timestamp":1576627200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Einstein\u2019s equations of general relativity (GR) can describe the connection between events within a given hypervolume of size L larger than the Planck length     L P     in terms of wormhole connections where metric fluctuations give rise to an indetermination relationship that involves the Riemann curvature tensor. At low energies (when     L \u226b  L P     ), these connections behave like an exchange of a virtual graviton with wavelength      \u03bb G  = L     as if gravitation were an emergent physical property. Down to Planck scales, wormholes avoid the gravitational collapse and any superposition of events or space\u2013times become indistinguishable. These properties of Einstein\u2019s equations can find connections with the novel picture of quantum gravity (QG) known as the \u201cEinstein\u2013Rosen (ER) = Einstein\u2013Podolski\u2013Rosen (EPR)\u201d (ER = EPR) conjecture proposed by Susskind and Maldacena in Anti-de-Sitter (AdS) space\u2013times in their equivalence with conformal field theories (CFTs). In this scenario, non-traversable wormhole connections of two or more distant events in space\u2013time through Einstein\u2013Rosen (ER) wormholes that are solutions of the equations of GR, are supposed to be equivalent to events connected with non-local Einstein\u2013Podolski\u2013Rosen (EPR) entangled states that instead belong to the language of quantum mechanics. Our findings suggest that if the ER = EPR conjecture is valid, it can be extended to other different types of space\u2013times and that gravity and space\u2013time could be emergent physical quantities if the exchange of a virtual graviton between events can be considered connected by ER wormholes equivalent to entanglement connections.<\/jats:p>","DOI":"10.3390\/e22010003","type":"journal-article","created":{"date-parts":[[2019,12,20]],"date-time":"2019-12-20T09:50:33Z","timestamp":1576835433000},"page":"3","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":16,"title":["General Relativistic Wormhole Connections from Planck-Scales and the ER = EPR Conjecture"],"prefix":"10.3390","volume":"22","author":[{"given":"Fabrizio","family":"Tamburini","sequence":"first","affiliation":[{"name":"ZKM\u2014Zentrum f\u00fcr Kunst und Medientechnologie, Lorentzstr. 19, D-76135 Karlsruhe, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ignazio","family":"Licata","sequence":"additional","affiliation":[{"name":"Institute for Scientific Methodology (ISEM), Via Ugo La Malfa 153, I-90146 Palermo, Italy"},{"name":"School of Advanced International Studies on Theoretical and Nonlinear Methodologies of Physics, I-70124 Bari, Italy"},{"name":"International Institute for Applicable Mathematics and Information Sciences (IIAMIS), B.M. Birla Science Centre, Adarsh Nagar, Hyderabad 500 463, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,12,18]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1113","DOI":"10.1103\/PhysRev.160.1113","article-title":"Quantum Theory of Gravity. I. The Canonical Theory","volume":"160","author":"DeWitt","year":"1967","journal-title":"Phys. Rev."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1195","DOI":"10.1103\/PhysRev.162.1195","article-title":"Quantum Theory of Gravity. II. The Manifestly Covariant Theory","volume":"162","author":"DeWitt","year":"1967","journal-title":"Phys. Rev."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1239","DOI":"10.1103\/PhysRev.162.1239","article-title":"Quantum Theory of Gravity. III. Applications of the Covariant Theory","volume":"162","author":"DeWitt","year":"1967","journal-title":"Phys. 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