{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,8]],"date-time":"2026-02-08T15:10:35Z","timestamp":1770563435451,"version":"3.49.0"},"reference-count":60,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2012,10,18]],"date-time":"2012-10-18T00:00:00Z","timestamp":1350518400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>We show how conformal relativity is related to Brans\u2013Dicke theory and to low-energy-effective superstring theory. Conformal relativity or the Hoyle\u2013Narlikar theory is invariant with respect to conformal transformations of the metric. We show that the conformal relativity action is equivalent to the transformed Brans\u2013Dicke action for \u03c9 = -3\/2 (which is the border between standard scalar field and ghost) in contrast to the reduced (graviton-dilaton) low-energy-effective superstring action which corresponds to the Brans\u2013Dicke action with \u03c9 = -1. We show that like in ekpyrotic\/cyclic models, the transition through the singularity in conformal cosmology in the string frame takes place in the weak coupling regime. We also find interesting self-duality and duality relations for the graviton-dilaton actions.<\/jats:p>","DOI":"10.3390\/e14101978","type":"journal-article","created":{"date-parts":[[2012,10,18]],"date-time":"2012-10-18T13:00:46Z","timestamp":1350565246000},"page":"1978-1996","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Conformal Relativity versus Brans\u2013Dicke and Superstring Theories"],"prefix":"10.3390","volume":"14","author":[{"given":"David B.","family":"Blaschke","sequence":"first","affiliation":[{"name":"Institute for Theoretical Physics, University of Wroc\u0142aw, 50-204 Wroc\u0142aw, Poland"},{"name":"Bogoliubov Laboratory for Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8722-9470","authenticated-orcid":false,"given":"Mariusz P.","family":"D\u0105browski","sequence":"additional","affiliation":[{"name":"Institute of Physics, University of Szczecin, Wielkopolska 15, 70-451 Szczecin, Poland"},{"name":"Copernicus Center for Interdisciplinary Studies, S\u0142awkowska 17, 31-016 Krak\u00f3w, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2012,10,18]]},"reference":[{"key":"ref_1","unstructured":"Birell, N.D., and Davies, P.C.W. 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