{"id":9910,"date":"2026-04-02T16:04:11","date_gmt":"2026-04-02T14:04:11","guid":{"rendered":"https:\/\/websrv.saske.sk\/uef\/?p=9910"},"modified":"2026-04-02T16:19:29","modified_gmt":"2026-04-02T14:19:29","slug":"tajomstva-ciernych-dier-a-hmotnosti-higgsovho-bozonu-by-mohli-byt-skryte-v-7-rozmernej-geometrii","status":"publish","type":"post","link":"https:\/\/websrv.saske.sk\/uef\/tajomstva-ciernych-dier-a-hmotnosti-higgsovho-bozonu-by-mohli-byt-skryte-v-7-rozmernej-geometrii\/","title":{"rendered":"Tajomstv\u00e1 \u010diernych dier a hmotnosti Higgsovho boz\u00f3nu by mohli by\u0165 skryt\u00e9 v 7-rozmernej geometrii"},"content":{"rendered":"

Jedna z najv\u00e4\u010d\u0161\u00edch z\u00e1had modernej fyziky, \u201einforma\u010dn\u00fd paradox \u010diernych dier\u201c, mo\u017eno kone\u010dne na\u0161la elegantn\u00e9 rie\u0161enie a odpove\u010f by mohla odhali\u0165 aj p\u00f4vod hmotnosti z\u00e1kladn\u00fdch \u010dast\u00edc.<\/p>\n

V 70. rokoch 20. storo\u010dia Stephen Hawking pomocou semiklasick\u00fdch v\u00fdpo\u010dtov preuk\u00e1zal, \u017ee \u010dierne diery nie s\u00fa skuto\u010dne \u010dierne, ale vy\u017earuj\u00fa slab\u00e9 \u017eiarenie, ktor\u00e9 sp\u00f4sobuje ich postupn\u00e9 zmen\u0161ovanie, a\u017e k\u00fdm nezmizn\u00fa. Tento proces v\u0161ak so sebou prin\u00e1\u0161a obrovsk\u00fd probl\u00e9m: zd\u00e1 sa, \u017ee sp\u00f4sobuje nezvratn\u00fa stratu inform\u00e1ci\u00ed, \u010d\u00edm poru\u0161uje princ\u00edp unit\u00e1rnosti kvantovej mechaniky. In\u00fdmi slovami, z\u00e1kony kvantovej fyziky hovoria, \u017ee inform\u00e1cie nemo\u017eno zni\u010di\u0165, ale vyparovanie \u010diernej diery nazna\u010duje opak.<\/p>\n

Teraz nov\u00e1 \u0161t\u00fadia publikovan\u00e1 v \u010dasopise General Relativity and Gravitation, veden\u00e1 t\u00edmom Dr. Richarda Pin\u010d\u00e1ka<\/strong> z Oddelenia teoretickej fyziky \u00daEF SAV, v. v. i.,\u00a0 navrhuje inovat\u00edvne rie\u0161enie zalo\u017een\u00e9 na komplexnej geometrii priestoru s extra dimenziami.<\/p>\n

Odpudiv\u00e1 sila na zastavenie odparovania<\/strong><\/p>\n

V \u010dl\u00e1nku publikovanom<\/a> v \u010dasopise General Relativity and Gravitation fyzici sk\u00famali fenomenologick\u00e9 d\u00f4sledky gravita\u010dnej te\u00f3rie, zn\u00e1mej ako Einstein-Cartan te\u00f3ria, formulovanej v 7 rozmeroch na \u0161pecifickej matematickej \u0161trukt\u00fare naz\u00fdvanej \u201eG2<\/sub>-manifold s torziou\u201c. Na rozdiel od \u0161tandardnej v\u0161eobecnej relativity t\u00e1to te\u00f3ria umo\u017e\u0148uje \u010dasopriestoru nielen sa zakrivova\u0165, ale aj sa \u201eskr\u00faca\u0165\u201c (tzv. torzia \u010dasopriestoru).<\/p>\n

K\u013e\u00fa\u010dov\u00fd v\u00fdsledok tohto modelu je fascinuj\u00faci: pri extr\u00e9mnych hustot\u00e1ch, typick\u00fdch pre Planckovu \u0161k\u00e1lu, t\u00e1to geometrick\u00e1 torzia generuje odpudiv\u00fa silu. T\u00e1to sila p\u00f4sob\u00ed proti gravita\u010dn\u00e9mu kolapsu a dynamicky zastavuje z\u00e1vere\u010dn\u00fa f\u00e1zu Hawkingovho odparovania. V d\u00f4sledku toho \u010dierna diera nezmizne do ni\u010doty, ale zanech\u00e1va po sebe stabiln\u00fd \u201ezvy\u0161ok\u201c, ktor\u00e9ho predpokladan\u00e1 hmotnos\u0165 je pribli\u017ene 9.10-41<\/sup> kg.<\/p>\n

\"\"<\/a><\/p>\n

Obr. 1.<\/strong> Torzne stabilizovan\u00fd zvy\u0161ok \u010diernej diery. Schematick\u00e9 zn\u00e1zornenie stabiln\u00e9ho zvy\u0161ku v 7-rozmernej Einstein-Cartanovej te\u00f3rii na G2\u200b-manifolde s torziou. Geometrick\u00e1 torzia vytv\u00e1ra odpudiv\u00fa silu (farebn\u00e9 \u0161\u00edpky) pri Planckov\u00fdch hustot\u00e1ch, ktor\u00e1 zastavuje posledn\u00fa f\u00e1zu Hawkingovho vyparovania a vytv\u00e1ra zvy\u0161ok s hmotnos\u0165ou M_RES\u22489\u00d710^-41<\/sup> kg. Panel vpravo hore zobrazuje efekt\u00edvny potenci\u00e1l Veff(M) s minimom pri hmotnosti zvy\u0161ku \u010diernej diery. Panel vpravo dole ilustruje z\u00e1kladn\u00fa geometriu G2\u200b-manifoldu.<\/em><\/p>\n

7-rozmern\u00fd kozmick\u00fd pevn\u00fd disk<\/strong><\/p>\n

Ak \u010dierna diera nezmizne, \u010do sa stane s inform\u00e1ciami o v\u0161etkej hmote, ktor\u00e1 do nej spadla? V\u00fdskumn\u00edci predpokladaj\u00fa, \u017ee tento stabiln\u00fd zvy\u0161ok funguje ako skuto\u010dn\u00fd pam\u00e4\u0165ov\u00fd arch\u00edv. \u0160trukt\u00fara zvy\u0161ku poskytuje konkr\u00e9tny mechanizmus na ukladanie inform\u00e1ci\u00ed prostredn\u00edctvom spektra jeho \u201ekv\u00e1zinorm\u00e1lnych m\u00f3dov\u201c.<\/p>\n

V praxi je kvantov\u00e1 inform\u00e1cia zak\u00f3dovan\u00e1 a uv\u00e4znen\u00e1 v dlhotrvaj\u00facich \u201evibr\u00e1ci\u00e1ch\u201c torzn\u00e9ho po\u013ea vo vn\u00fatri geometrie zvy\u0161ku \u010diernej diery. T\u00edm vypo\u010d\u00edtal, \u017ee zvy\u0161ok poch\u00e1dzaj\u00faci z \u010diernej diery s hmotnos\u0165ou n\u00e1\u0161ho Slnka by bol schopn\u00fd ulo\u017ei\u0165 neuverite\u013en\u00e9 mno\u017estvo pribli\u017ene 1,515.1077<\/sup> qubitov inform\u00e1ci\u00ed, \u010do je presne to\u013eko, aby sa paradox vyrie\u0161il.<\/p>\n

Dve muchy jednou ranou: s\u00favislos\u0165 s Higgsov\u00fdm boz\u00f3nom<\/strong><\/p>\n

T\u00fato \u0161t\u00fadiu rob\u00ed obzvl\u00e1\u0161\u0165 zauj\u00edmavou jej hlbok\u00e9 prepojenie s fyzikou \u010dast\u00edc. V\u00fdskumn\u00edci preuk\u00e1zali, \u017ee redukcia rozmerov (zo 7 na 4 rozmery, n\u00e1\u0161ho vn\u00edmate\u013en\u00e9ho \u010dasopriestoru) tejto geometrie poskytuje prirodzen\u00fd p\u00f4vod pre elektroslab\u00fa \u0161k\u00e1lu (pribli\u017ene 246$ GeV). T\u00e1to \u0161k\u00e1la je zn\u00e1ma t\u00fdm, \u017ee je spojen\u00e1 s Higgsov\u00fdm po\u013eom, ktor\u00e9 d\u00e1va hmotu element\u00e1rnym \u010dasticiam.<\/p>\n

V tomto teoretickom r\u00e1mci je o\u010dak\u00e1van\u00e1 hodnota v\u00e1kua (VEV) predpokladan\u00e1 torzn\u00fdm po\u013eom dynamicky identifikovan\u00e1 s elektroslabou \u0161k\u00e1lou (pribli\u017ene 246 GeV). V podstate t\u00e1 ist\u00e1 geometrick\u00e1 vlastnos\u0165, ktor\u00e1 chr\u00e1ni \u010dierne diery pred zmiznut\u00edm a zachov\u00e1va kvantov\u00fa inform\u00e1ciu, pon\u00faka aj \u010disto geometrick\u00e9 vysvetlenie probl\u00e9mu hierarchie hmotnost\u00ed vo fyzike \u010dast\u00edc.<\/p>\n

\"\"<\/a><\/p>\n

Obr. 2.<\/strong> Zjednotenie stability \u010diernej diery a hmotnosti element\u00e1rnych \u010dast\u00edc prostredn\u00edctvom 7D geometrie. Schematick\u00e9 zn\u00e1zornenie r\u00e1mca prezentovan\u00e9ho v 7-rozmernej Einstein-Cartanovej te\u00f3rii na G2\u200b-manifolde s torziou. \u013dav\u00fd panel zobrazuje torzn\u00fd uzol 7D G2\u200b-manifold. Geometrick\u00e1 torzia generuje odpudiv\u00fa silu pri Planckov\u00fdch hustot\u00e1ch (stredn\u00fd panel), \u010d\u00edm stabilizuje zvy\u0161ok \u010diernej diery. Prostredn\u00edctvom redukcie rozmerov sa o\u010dak\u00e1van\u00e1 hodnota torzn\u00e9ho v\u00e1kua identifikuje s elektroslabou \u0161k\u00e1lou (pribli\u017ene \u2248246 GeV), \u010do prirodzene poskytuje o\u010dak\u00e1van\u00fa hodnotu v\u00e1kua Higgsovho po\u013ea (VEV) a umo\u017e\u0148uje element\u00e1rnym \u010dasticiam z\u00edska\u0165 hmotnos\u0165 v 4D \u010dasopriestore.<\/em><\/p>\n

Za hranicami ur\u00fdch\u013eova\u010dov: Testovate\u013en\u00e1 realita<\/strong><\/p>\n

Pre\u010do e\u0161te nem\u00e1me d\u00f4kaz o t\u00fdchto extra dimenzi\u00e1ch? Odpove\u010f spo\u010d\u00edva v ohromuj\u00facich energetick\u00fdch \u0161k\u00e1lach. V\u00fdskumn\u00edci vypo\u010d\u00edtali, \u017ee \u010dastice spojen\u00e9 s t\u00fdmito dimenziami (Kaluza-Klein excit\u00e1cie) maj\u00fa hmotnosti okolo 8,6.1015<\/sup> GeV. To je o sedem r\u00e1dov mimo dosahu Ve\u013ek\u00e9ho hadr\u00f3nov\u00e9ho ur\u00fdch\u013eova\u010da (LHC), av\u0161ak \u201enevidite\u013en\u00fd\u201c pre ur\u00fdch\u013eova\u010de neznamen\u00e1 \u201enetestovate\u013en\u00fd\u201c.<\/p>\n

Te\u00f3ria nie je ani z\u010faleka len \u0161pekul\u00e1ciou, preto\u017ee je postaven\u00e1 na rigidn\u00fdch geometrick\u00fdch vz\u0165ahoch. Ak je model spr\u00e1vny, vytv\u00e1ra \u0161pecifick\u00e9, falzifikovate\u013en\u00e9 predpovede, ktor\u00e9 mo\u017eno vyh\u013ead\u00e1va\u0165 v hlbin\u00e1ch vesm\u00edru, a nie v laborat\u00f3riu. Po prv\u00e9, stabiln\u00e9 zvy\u0161ky \u010diernych dier (9 .10-41<\/sup> kg) predpovedan\u00e9 \u0161t\u00fadiou by mohli by\u0165 s\u00fa\u010das\u0165ou z\u00e1hadnej temnej hmoty. Detekcia gravita\u010dn\u00e9ho podpisu t\u00fdchto \u201ePlanckovsk\u00fdch pozostatkov\u201c by poskytla priamy d\u00f4kaz pre t\u00fato te\u00f3riu. Okrem toho inform\u00e1cie zak\u00f3dovan\u00e9 v ich \u201evibr\u00e1ci\u00e1ch\u201c (kv\u00e1zinorm\u00e1lne re\u017eimy) pon\u00fakaj\u00fa konkr\u00e9tny matematick\u00fd r\u00e1mec, ktor\u00fd odli\u0161uje tento model od ak\u00fdchko\u013evek in\u00fdch. Nakoniec, energetick\u00e9 \u0161k\u00e1ly, ktor\u00e9 s\u00fa s nimi spojen\u00e9, s\u00fa typick\u00e9 pre ve\u013emi ran\u00fd vesm\u00edr, \u010do znamen\u00e1, \u017ee odtla\u010dky prstov tejto 7-rozmernej geometrie by mohli by\u0165 skryt\u00e9 v kozmickom mikrovlnnom pozad\u00ed alebo v prvotn\u00fdch gravita\u010dn\u00fdch vln\u00e1ch. Preklenut\u00edm priepasti medzi najmen\u0161\u00edmi mierkami \u010diernych dier a roz\u013eahlos\u0165ou Higgsovho po\u013ea tento v\u00fdskum nazna\u010duje, \u017ee informa\u010dn\u00fd paradox nemus\u00ed vy\u017eadova\u0165, aby sme sa znova prep\u00edsali kvantov\u00fa mechaniku. Namiesto toho n\u00e1s poz\u00fdva k hlb\u0161iemu, 7-rozmern\u00e9mu pochopeniu samotnej \u0161trukt\u00fary na\u0161ej reality.<\/p>\n

 <\/p>\n

P\u00f4vodn\u00e1 publik\u00e1cia:<\/strong><\/p>\n

Pin\u010d\u00e1k, R., Pigazzini, A., Pudl\u00e1k, M. et al. Geometric origin of a stable black hole remnant from torsion in G-manifold geometry. Gen Relativ Gravit 58, 29 (2026). https:\/\/doi.org\/10.1007\/s10714-026-03528-z<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Jedna z najv\u00e4\u010d\u0161\u00edch z\u00e1had modernej fyziky, \u201einforma\u010dn\u00fd paradox \u010diernych dier\u201c, mo\u017eno kone\u010dne na\u0161la elegantn\u00e9 rie\u0161enie a odpove\u010f by mohla odhali\u0165 aj p\u00f4vod hmotnosti z\u00e1kladn\u00fdch \u010dast\u00edc….<\/p>\n","protected":false},"author":11,"featured_media":9908,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/websrv.saske.sk\/uef\/wp-json\/wp\/v2\/posts\/9910"}],"collection":[{"href":"https:\/\/websrv.saske.sk\/uef\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/websrv.saske.sk\/uef\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/websrv.saske.sk\/uef\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/websrv.saske.sk\/uef\/wp-json\/wp\/v2\/comments?post=9910"}],"version-history":[{"count":6,"href":"https:\/\/websrv.saske.sk\/uef\/wp-json\/wp\/v2\/posts\/9910\/revisions"}],"predecessor-version":[{"id":9916,"href":"https:\/\/websrv.saske.sk\/uef\/wp-json\/wp\/v2\/posts\/9910\/revisions\/9916"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/websrv.saske.sk\/uef\/wp-json\/wp\/v2\/media\/9908"}],"wp:attachment":[{"href":"https:\/\/websrv.saske.sk\/uef\/wp-json\/wp\/v2\/media?parent=9910"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/websrv.saske.sk\/uef\/wp-json\/wp\/v2\/categories?post=9910"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/websrv.saske.sk\/uef\/wp-json\/wp\/v2\/tags?post=9910"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}