The universal vector. Open Access Journal of Mathematical and Theoretical Physics [ ] Introduction [ ] ( 1)
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1 Ope Access Joural of Mahemaical ad Theoreical Physics Mii Review The uiversal vecor Ope Access Absrac This paper akes Asroheology mahemaics ad pus some of i i erms of liear algebra. All of physics ca be described by wo vecors. The do produc ad cross produc has impora resuls. Here we describe he Graviy Equaio. Ad we provide he coordiaes of he uiversal ad wha hey mea. Keywords: liear algebra, asroheology, graviy, mass, space Volume Issue 5-8 Paul TE Cusack Park Ave, Sai Joh, Caada Correspodece: Paul TE Cusack, BScE, Dule 3 Park Ave, Sai Joh, NB EJ R, Caada, Tel s-michael@homail.com Received: Augus, 8 Published: Sepember, 8 Iroducio I his paper, we provide calculaios o Asroheology from Liear Algebra. Eisei was wrog abou o absolue space ad ime ad hese calculaios show how. Graviy, Mass, Desiy, ad he zero vecors are used i calculaios ha show ha he uiverse ca be modelled as a upple. We begi wih graviy. Produc Do Produc Sum elemes. Cross Produc Le 4 G Dc cω π 6.5 M E E cos θ M D + c+ c +Ω π 8.7 Mass i he periodic able of he s E E si θ G M / 8.95 / 97 csc 66.6 Do Produc /Cross Produc cosθ / siθ co θ ρ θ 7. Mass.4 rads Roos 3, - Eigevalues. 4 / ρ Z ρ cos ϕ+ i si ϕ.97i.5 / i.5 i.5 G+ / dm / d G / + / T /+ /5 + / ( /4) 5 5 F G M M / R ( ) / ( ) 4 D Ma ρ Ma Ma Ma Ma F ( ) Submi Mauscrip hp://medcraveolie.com Ope Acc J Mah Theor Phy. 8;(5): Cusack. This is a ope access aricle disribued uder he erms of he Creaive Commos Aribuio Licese, which permis uresriced use, disribuio, ad build upo your work o-commercially.
2 Copyrigh: The uiversal vecor 8 Cusack 87 Golde mea : + iy ( iy) ( iy) Reduces o he biliear form Roaio mari Figure + + y a + a y y a + a y Le θ π π Ω cos θ si θ / si θ cos θ / [ / / ] [ ab ] [ a+ b / a b] [ a b] y [ a a a a y a a y y a a A Cy A + By+ Cy D + y+ y y+ y ( ( / ) / / / + / + / y+ y ( y) ( y) y a v P F Figure The uiversal vecor space. 396, 4,4 46,4 46, ,396,54 54,, Muliple be Operaor Mari [Emi, Aigraviy] Subspace & he zero vecor. 49, 33 [ Ts, ] [ cos 6 si 6, si 6, cos 6 ] / 3/, 3/ / D / / 3/ 3/ [ /4 3/4] [ /] Muliple by [ Ts, ] / 5, 4/3 / [ /8, /3] (,, ) (, E, s) (,, ) (, Es, ) is Perpedicular o This poi lies o he y ais o he E- golde mea parabola. T / freq. / / π π s E si θ E s si θ θ si 6 3/.866 ( 3,4,) Perpedicular o ( 4,3, ) (-,y,z) Perpedicular o (y,,z) E y E z z L + y + z L + y + z (, Es, ) ( E, s, ) (Likewise, for vecors i he III Ad IV Quadra. Muliple be Operaor Mari [ cos 6 si 6, si 6 cos 6 ] Ciaio: Cusack PTE. The uiversal vecor. Ope Acc J Mah Theor Phy. 8;(5):86 9. DOI:.546/oajmp.8..3
3 Copyrigh: The uiversal vecor 8 Cusack 88 Period T5 / 3/, 3/ / D / / 3/ 3/ [ /4 3/4] Muliple by [ Ts, ] /8 +, 3/8+ E +, SF.. + ] mi Subspace o e zero vecor. [ 49/5, 33/5 ] [ Ts, ] [ π, si π ] [ π, ] (,, ) (, E, s) is Perpedicular o (,, ) (, Es, ) This poi lies o he y ais o he E- golde mea parabola. T / freq. / / π π s E si θ E s si θ si 6 3/.866 (3,4,) Perpedicular o (4,3,) (-,y,z) Perpedicular o (y,,z) E y E z z L + y + z L + y + z (, Es, ) ( E, s, ) (Likewise, for vecors i he III ad IV Quadra. Because you ca have egaive K.E., here is o such hig as egaive ime, so here is o orhogoal vecor o he zero vecors(figure ). True! Le s z si θ s θ π E E s E / ( ) i E E / E E ± ε ε F + iy y ε R + iy E + E E i E + E+ + dm / d E+ + ( ) Sice ime is K.E., ad K.E is ime, we measure K.E. relaive o somehig - he zero vecor. We also kow ha Mass is he do produc of E ad (Figure 3). Figure 3 The zero vecor. Figure Orhogoal vecors. s E si θ M E cos θ M ( ) ( ) cos θ Ciaio: Cusack PTE. The uiversal vecor. Ope Acc J Mah Theor Phy. 8;(5):86 9. DOI:.546/oajmp.8..3
4 Copyrigh: The uiversal vecor 8 Cusack 89 θ rad Ad we kow ha Momeum, P, or v cos θ So K. E. / Mv ( θ) ( θ) / cos cos ( cos θ ) 3 /.785 / 7.3 / ρ ρ Desiy This disproves Eisei s Relaiviy. There is a saioary poi i he uiverse. I is he Zero Vecor. Space ad ime are absolue. So his is how he uiverse crysallized io eisece. 3 M E cos θ Bu E P. E. dm / d M ( dm / d) ( ) cos θ s E siθ s ( dm / d) ( ) si θ Desiy ρ M / Vol. [ dm / d cos θ] /[ dm / d si θ] cos θ / siθ co θ co π /3 / rads Mass H Equaio of a plae ( ra ) ( ra ) ( b a) ( ca ) ( ra) r { },, 5,, a E cos θ (,,) posiio vecor ( b a) ( 3,,) (,, π) ( 3,, π) ( C a) ( 3,,) (,,) ( 5,,) ( 3,, π ) ( 5,,) ( 5,,) Mass Gap / G 3/ c / dm / d 3/ / G ( r a) (,,) ( 3,,) r r cos θ rε R r,, 5,, r 5 cos θ + r is orhogoal o r or cos θ θ π /, 3 π / s E si θ si θ θ ± π; ± π E M E cos θ v M cos π G E s G M ρ M / Vol. χ / π 995 ( 4π) χ χ 5. Period T Cusack s graviy equaio Figure 4 Add wo vecors G ρ c c G G ρc ρ c.5 MASS GAP π G 3 o π 4,3, 3, π M E DC C Ω M s M [ ] π + { ] ( 5 ) ( 4 ) (.73 ) ( 4.4 ) legh π / 4 45 / ρ Ciaio: Cusack PTE. The uiversal vecor. Ope Acc J Mah Theor Phy. 8;(5):86 9. DOI:.546/oajmp.8..3
5 Copyrigh: The uiversal vecor 8 Cusack 9 Figure 4 Mass a he L fucio. Uiversal vecor / ρ Vol. / Mass dvol. / d / dm / d 995 / 3 / rad π 65 [ ] 6 For he agle of his uiversal vecor c a + b abcos θ c cos θ cos θ.7393 θ 7387 /.433 / cuz ( π ) / e So he Uiversal Vecor produces G ; ρ, E rad;;cuz (or PTEC)(Figure 5). The Norm v For he uiversal vecor Ad, ( uv, ) (4, 3, 3, π ) G Bu we kow G λ λ λ Eige value rad ( 57.9 ) 3 3 Eige vecor Characerisic Equaio Le Coclusio π Operaor π π 57.9 rad We see ha he uiverse ca be well modelled by liear algebra. Ackowledgemes Noe. Coflic of ieres The auhor declares ha here is o coflic of ieres. Refereces. Aler S. Liear Algebra Doe Righ. 3 rd ed. Spriger, USA; 5.. Shilov G. Liear Algebra. USA: Dover; Cusack P. Asroheology, Cusack s uiverse. J of Phys Mah. 6;7():8. Figure 5 The uiversal vecor ad ime. Ciaio: Cusack PTE. The uiversal vecor. Ope Acc J Mah Theor Phy. 8;(5):86 9. DOI:.546/oajmp.8..3
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