How dark matter, axion walls, and graviton production lead to observable Entropy generation in the Early Universe. Dr.

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1 How dk me, xion wlls, nd gvion poduion led o obsevble Enopy geneion in he Ely Univese D. Andew Bekwih

2 he D Albembein opeion in n equion of moion fo emegen sl fields implying Non-zeo sl field V && Penose quinessene sl field evoluion Fiedmn Wlke mei employed s well s s he following poenil () R 6 6 κ V.7 ε Kelvin

3 () 6 ) ( ε κ α high () 6 ) ( ε κ α Low high nd nex, Low : Axion mss 7. ) / (. m m QCD

4 DeSie spe ime geomey s given by Pk () dim β Leding o Bvinsky vs. Pk [ K ] dim 6 mp << gvion poduion Lge sle vlues of he bsolue mgniude of he osmologil vuum enegy e lgely due o: VAC l Plnk obseved 8πG l H l Plnk UV H IR obseved H iniil 9

5 ( End of inf ) ( Beginning of inf ) exp( N) [ ] If Kelvin iniil hen iniil 56 [ ] 8 π G huge numbe ds F d d () d F () Ω Q F Kelvin P () ( l )

6 hs empeue dependene, hen we ge Wheele De Wi Equion soluion wih pseudo ime omponen pu in, Cowell (5) F ( l ) η( ) ( ) P l P Ψ { } A η C Aη ω C I so hppens h hee, C nd C hve pseudo yli nd evolving ime funion behvio, nd e p of he (pseudo) ime dependen soluions o he (pseudo) ime dependen Wheele-De Wi equion, s wien by Cowell (5). he wve funionl is simil o he WKB wve funionls nd e n ppoxime soluion.

7 Does hee exis five-dimensionl vesion of n insnon in he wom hole nsiion egime? We will hen look Reissne-Nodsom mei embedded in five dimensionl spe- ime () [ ] ) ( dv g g ε π π δ Q Spe ime line mei in five dimensions, Wesson, modified : [ ] dim 5 ) ( exp dl e d R d e d e i ds μ π Ω Φ

8 {} is Reissne-Nodsom line mei in fou dimensionl spe Φ Q e Q e m l P ximum ximum 5 μ 8 Q Q Q π Deeminn: Q g

9 Conlusion, CLAI s we hve usl disoninuiy he onse of spe ime S wih he Fiedmnn eqn. his ssumes vlue we sy holds even hough ely imes o he pesen. 8πG ( & / ) [ ] el me We mke he following definiions el pesene ( ) ( el ) pesene m pesene ( ) ( m ) pesene

10 Fiedmnn equion fo he evoluion of sle fo, [ ] 8 8,, / 5 6 << < ε π δ π π δ δ ε δ l l m el P m el P We ge violion of Dowke pil odeing if we hve. < δ HOW does his led o enopy poduion?

11 Enegy fluuions due o he womhole nd hei link o enopy geneion. S wih semilssil: δ ( x) s Δ δ ( x) π G δ( x) σ Δδ S( x). Fouie-nsfom o (ssuming lmos onsn vlues of k nd x ) δ 8σ ( x) δ S( ) x s. Due o inesing empeue: δ ( x) iniil mx

12 A die linkge beween enegy densiy fluuions nd enopy In ely univese ondiions we mke he following idenifiion is enegy densiy dimensions (Lloyd) δ ( x) 8σ δ S( x) 5 [# opeions] ( ) Obsevble Bis bis nsfeed of infomion vi womhole in ou (pio) o univese bby (Smoo) univese P 8 Hologphi piniple-llowed ses in univese evoluion/developmen Iniilly vilble ses onse of infliony e (heml flux) Obsevble bis due o qunum/ sisil fluuion 8

13 Gowh of ely suue h my ise An nlogue o e k inflion by sing heoiss, llowing fo he following idenifiion: ΔE l P ΔP 5π l P ΔS Cn lso hve inflion wihou bnes E.g.,hieve eenl opologil inflion (wih simil qudi poenil) in ek model wih wo gugino ondenses

14

15 We ge CBR glihes

16

17 Bu he χ /dof 9/98 > poblem of only 7% h his model is oe We hve LO of wok hed of us, espeilly if Sk s is oe: Qusi-DeSie speime duing inflion hs no "lumpiness" i is neessily vey smooh. Neveheless one n genee suue in he speum of qunum fluuions oigining fom inflion by disubing he slow-oll of he inflon - in ou model his hppens beuse ohe fields o whih he inflon ouples hough gviy undego symmey beking phse nsiions s he univese ools duing inflion.

18 Conguen wih ondensed me nlogy Ruuu, V., Elsov, V, Gill, A., Kibble,., Kusius,., khlin, Y.G., Plis, B., Volvik, G, nd Wen, Z., Voex Fomion in neuon idied He s n nlog of osmologil defe fomion, Nue 8, -6 (5 July 996) his hs been fuhe ionlized vi een Physis ody ile wien by. Kibble of Oxfod, Sepembe 7, pp Fom he Physis ody ile wien by. Kibble of Oxfod, Sepembe 7, sing pge 7 Symmey beking (), nd Voex filmen foms (b) See xiv.og/bs/7.9 fo efeenes o his slide show

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