Closed cosmological solutions to Einstein’s field equations
1972; Springer Science+Business Media; Volume: 3; Issue: 16 Linguagem: Inglês
10.1007/bf02756406
ISSN1827-613X
Autores Tópico(s)Noncommutative and Quantum Gravity Theories
ResumoI n th i s n o t e we p r e s e n t a p r e s c r i p t i o n m a d e for ~ geome t r i z ing ~> t h e space t ime man i fo ld as a n e x t e n s i o n of W h e e l e r ' s (( w o r m h o l e ~> t h e o r y (1). I n t he m e t h o d pres e n t e d a se t of va r iab les , t e r m e d q u a n t a l un i t s , is i n c t r o d u e e d i n to t h e cosmological e q u a t i o n s and , w h i c h a re cons idered to ac t as a n a d d i t i o n a l cons t r a in t , w h i c h m a k e imp l i ca t i ons a b o u t poss ible closed cosmological so lu t ions (2,3). R e c e n t e x p e r i m e n t a l ev idence is c i t ed for a closed un ive r se t heo ry . WHEELER (1) a t t e m p t e d to geome t r i ze t h e space t ime m a n i f o l d in t e r m s of a ( , t e r m e d t h e W h e e l e r ( >, 1 = (Gh/ca)L WHEELER p ic tu re s t he m e t r i c of h is space as f luc tua t ions in a m u l t i p l e c o n n e c t e d foaml ike s t r u c t u r e in w h i c h t h e m i c r o c u r v a t u r e ha s a scale (( size ,~ of l cha rac t e r i s t i c of his topology. Th i s topological s t r u c t u r e , accord ing to W H ~ L E R , desc r ibed b y t h e use of t h e q u a n t a l u n i t s or P l a n e k u n i t s in W h e e l e r ' s t e rmino logy , appl ies to t h e topo logy of t he U n i v e r s e as a whole, to s t a r sy s t em s a n d to s y s t e m s h a v i n g less t h a n a t o m i c d imens ions (a). Also t h e m i c r o e u r v a t u r e sets a lower l imi t on t h e m e a n i n g f u l i n t e r v a l s of l e n g t h a n d t ime . He also discusses a q u a n t u m of mass , m = (eh/G) 89 a n d a q u a n t u m of energy, E ~ (]~cS/G) 89 Ear l ie r , P~A~CK (~) de r i ved d i m e n s i o n e d q u a n t i t i e s in t e r m s of t h e f u n d a m e n t a l un ive r sM c o n s t a n t s ~ (P l anck ' s c o n s t a n t ) , G (un iversa l g r a v i t a t i o n a l cons t an t ) , c (veloci ty of l ight) . T he q u a n t i t i e s P l a n e k i n t r o d u c e d were
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