000069758 001__ 69758 000069758 005__ 20190709135619.0 000069758 0247_ $$2doi$$a10.1103/PhysRevD.96.105010 000069758 0248_ $$2sideral$$a104793 000069758 037__ $$aART-2017-104793 000069758 041__ $$aeng 000069758 100__ $$aShajesh, K.V. 000069758 245__ $$aCasimir energy of Sierpinski triangles 000069758 260__ $$c2017 000069758 5060_ $$aAccess copy available to the general public$$fUnrestricted 000069758 5203_ $$aUsing scaling arguments and the property of self-similarity we derive the Casimir energies of Sierpinski triangles and Sierpinski rectangles. The Hausdorff-Besicovitch dimension (fractal dimension) of the Casimir energy is introduced and the Berry-Weyl conjecture is discussed for these geometries. We propose that for a class of fractals, comprising compartmentalized cavities, it is possible to establish a finite value to the Casimir energy even while the Casimir energy of the individual cavities consists of divergent terms. 000069758 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E24-2$$9info:eu-repo/grantAgreement/ES/UZ/CUD2015-12 000069758 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000069758 590__ $$a4.394$$b2017 000069758 591__ $$aASTRONOMY & ASTROPHYSICS$$b15 / 66 = 0.227$$c2017$$dQ1$$eT1 000069758 591__ $$aPHYSICS, PARTICLES & FIELDS$$b7 / 29 = 0.241$$c2017$$dQ1$$eT1 000069758 592__ $$a1.801$$b2017 000069758 593__ $$aPhysics and Astronomy (miscellaneous)$$c2017$$dQ1 000069758 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000069758 700__ $$aParashar, P. 000069758 700__ $$0(orcid)0000-0002-5575-6775$$aCavero-Peláez, I. 000069758 700__ $$aKocik, J. 000069758 700__ $$aBrevik, I. 000069758 773__ $$g96, 10 (2017), 105010 [7 pp]$$pPhys. rev. D$$tPHYSICAL REVIEW D$$x2470-0010 000069758 8564_ $$s348095$$uhttps://zaguan.unizar.es/record/69758/files/texto_completo.pdf$$yVersión publicada 000069758 8564_ $$s103854$$uhttps://zaguan.unizar.es/record/69758/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000069758 909CO $$ooai:zaguan.unizar.es:69758$$particulos$$pdriver 000069758 951__ $$a2019-07-09-12:26:34 000069758 980__ $$aARTICLE