{"id":36,"date":"2015-11-03T12:01:51","date_gmt":"2015-11-03T12:01:51","guid":{"rendered":"http:\/\/lkb-insight.dk\/?page_id=36"},"modified":"2025-05-23T16:12:45","modified_gmt":"2025-05-23T15:12:45","slug":"forskningsformidling","status":"publish","type":"page","link":"https:\/\/lkb-insight.dk\/?page_id=36","title":{"rendered":"The Generel Relativity Theory"},"content":{"rendered":"

The key point is to the physical laws that react on a traversible wormhole solution i.e if we use all knowledge about classical mechanics, is it then possible that a traversible wormhole can exist? The wormhole metric can be describe by this metric.<\/span><\/p>\n

ds^2 = -e^{2\\Phi}dt^2 + d\\rho^2 + r^2(d\\theta^2 + \\sin^2 \\theta d\\phi^2)<\/span><\/p>\n

The strategy is to find the components of the Einstein tensor and to find the three differential equations, where each one respectively describes the mass-energy, radial tension and the lateral pressure as a function of the radial coordinate, and by use of these make a statement about the future and the maintenance of the wormhole.
\n<\/span><\/p>\n R^{\\alpha}_{\\hspace{5pt} \\beta \\gamma \\delta} = \\Gamma^{\\alpha}_{\\hspace{5pt}\\beta \\delta , \\gamma} - \\Gamma^{\\alpha}_{\\hspace{5pt}\\beta \\gamma , \\delta} + \\Gamma^{\\alpha}_{\\hspace{5pt}\\lambda \\gamma}\\Gamma^{\\lambda}_{\\hspace{5pt} \\beta \\delta} - \\Gamma^{\\alpha}_{\\hspace{5pt} \\lambda \\delta}\\Gamma^{\\lambda}_{\\hspace{5pt} \\beta \\gamma} <\/span>\n

The expansion of the geodadic by covariant point separations metods is,<\/span><\/p>\nT^{\\mu \\nu}(x, x^{\\prime}) = \\lim_{x \\rightarrow x^{\\prime}}\\left[ g^{\\mu \\lambda}(x)g^{\\nu^{\\prime} \\omega^{\\prime}}(x^{\\prime}) - \\frac{1}{4} g^{\\mu \\nu^{\\prime}}(x^{\\prime})g^{\\lambda \\omega^{\\prime}}(x^{\\prime})\\right]\\cdot\u00a0 \\newline \\frac{1}{2}g^{\\rho \\tau^{\\prime}}(x^{\\prime})\\left( F_{\\lambda \\rho}(x)\\tilde{F}_{\\omega \\tau}(x^{\\prime}) + \\tilde{F}_{\\lambda \\rho}(x^{\\prime})F_{\\omega \\tau}(x) \\right) <\/span>\n

and<\/span><\/p>\n \\lim_{\\rho \\rightarrow \\rho^{\\prime}}g_{\\mu \\nu^{\\prime}}{ ;}{\\tau}\u00a0 =\u00a0 \\lim_{\\rho \\rightarrow \\rho^{\\prime}}g_{\\lambda \\nu^{\\prime}}\\hspace{2pt} g^{\\lambda \\rho}\\frac{1}{2}(\\partial_{\\tau}g_{\\mu \\rho} + \\partial_{\\mu}g_{\\rho \\tau} - \\partial_{\\rho}g_{\\mu \\tau}) = \\frac{1}{2}(\\partial_{\\tau}g_{\\mu \\nu} + \\partial_{\\mu}g_{\\nu \\tau} - \\partial_{\\nu}g_{\\mu \\tau})\\newline =\u00a0 \\Gamma_{\\mu \\tau}^{\\lambda}g_{\\lambda \\nu}\u00a0<\/span>\n

To give more clearly details for the traversible wormhole I showed in 1996 that the stress-energy tensor in a transversibel wormholes for a spin 1 field would be expressed as;<\/span><\/p>\n <\\bar{T}_{\\mu\\nu}>_{ren} = <\\bar{T}_{\\mu\\nu}>_{reg} - <\\bar{T}_{\\mu\\nu}>_{div}<\/span>\n

where<\/span><\/p>\n2 \\pi^2 \\left( \\begin{array}{c}\\bar{T}_{t \\tilde t} \\\\ \\bar{T}_{\\rho \\tilde \\rho} \\\\ \\bar{T}_{\\theta \\tilde \\theta} \\end{array} \\right)_{renormaliz} = \\left( \\begin{array}{l} -\\frac{1}{60r_{o}^4} \\ln \\frac{L}{\\Lambda} + \\frac{1}{36}\\frac{r_{o}^{\\prime \\prime}}{r_{o}^3} + \\frac{1}{4}\\frac{\\Phi_{o}^{\\prime \\prime}}{r_{o}^2} \\\\ \\frac{1}{60r_{o}^4} \\ln \\frac{L}{\\Lambda} + \\frac{1}{36}\\frac{\\Phi_{o}^{\\prime \\prime}}{r_{o}^2} \\\\ -\\frac{1}{60r_{o}^4} \\ln \\frac{L}{\\Lambda} +\\frac{1}{120r_{o}^4} + \\frac{1}{18}\\frac{r_{o}^{\\prime \\prime}}{r_{o}^3} - \\frac{1}{72}\\frac{\\Phi_{o}^{\\prime \\prime}}{r_{o}^2} \\end{array} \\right)<\/span>\n

Remember\u00a0<\/span>the classical Morris-Thorne conditions for a wormhole, which always imply that the tension is higher than the mass-energy.<\/span><\/p>\nTension - mass = \\tau - \\rho_{E} = -\\bar{T}_{\\rho \\tilde \\rho} - \\bar{T}_{t \\tilde t} > 0 <\/span>\n

And by this notation we remark that tension is larger than mass. That means the wormholes can\u00b4t exist.<\/span> By inserting the result of the stress-energy tensor from my calculations. But I\u00a0get the opposite;<\/span><\/p>\n \\tau - \\rho_{E} = -\\frac{1}{72\\pi^2 r_{o}^2}\\left( 10\\Phi_{o}^{\\prime \\prime} + \\frac{r_{o}^{\\prime \\prime}}{r_{o}}\\right) < 0 <\/span>\n

Note:<\/span> \\Phi_{o}^{\\prime \\prime}>0 , r_{o}^{\\prime \\prime} >0<\/span><\/p>\n

Apparently it is possibly to sent light through a wormholes, or to be more specific is it possibly to create a wormhole also to be <\/span>intended for a spacecraft. <\/span>I still need to make the calculations for scalar fields, but these fields are also inadequate and have some serious theoretical challenges. These serious challenges in elementary particle physic have a background in the question – “What is mass?”.<\/span><\/p>\n

Space is made of discreste points, and I will assume space look like<\/span><\/p>\n

\"\"<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

The key point is to the physical laws that react on a traversible wormhole solution i.e if we use all knowledge about classical mechanics, is it then possible that a traversible wormhole can exist? The wormhole metric can be describe by this metric. The strategy is to find the components of the Einstein tensor and […]<\/p>\n","protected":false},"author":2,"featured_media":135,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-36","page","type-page","status-publish","has-post-thumbnail","hentry"],"_links":{"self":[{"href":"https:\/\/lkb-insight.dk\/index.php?rest_route=\/wp\/v2\/pages\/36","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lkb-insight.dk\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/lkb-insight.dk\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/lkb-insight.dk\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/lkb-insight.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=36"}],"version-history":[{"count":95,"href":"https:\/\/lkb-insight.dk\/index.php?rest_route=\/wp\/v2\/pages\/36\/revisions"}],"predecessor-version":[{"id":476,"href":"https:\/\/lkb-insight.dk\/index.php?rest_route=\/wp\/v2\/pages\/36\/revisions\/476"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/lkb-insight.dk\/index.php?rest_route=\/wp\/v2\/media\/135"}],"wp:attachment":[{"href":"https:\/\/lkb-insight.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=36"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}