A matsayin madadin ka'idar kirtani, Kleinert ya yi amfani da cikakkiyar kwatankwacin tsakanin lissafin da ba na Euclidean ba da kuma lissafin lu'ulu'u tare da lahani don gina samfurin sararin samaniya da ake kira Crystal Crystal ko Planck-Kleinert crystal. A cikin wannan samfurin, kwayoyin halitta suna haifar da lahani a cikin sararin samaniya wanda ke haifar da karkata. Wannan karkata yana sake haifar da duk tasirin ka'idar dangi gabaɗaya, amma yana haifar da ilimin lissafi daban-daban fiye da ka'idar kirtani a sikelin tsawon Planck. Wannan ka'idar ta yi wahayi ga mai zane-zane ɗan Italiya Laura Pesce don ƙirƙirar hotunan gilashi mai suna "crystal world" (duba kuma hagu na wannan shafin). Tambaya: Wace ƙasa ce Laura Pesce?
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