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mozerdozer

My Online Chess

Devin Booth
Wethersfield, CT., United States

Member Since: Feb 14, 2008
Last Login: Nov 6, 2009
Profile Views: 7176
Points: 2378
Status:   buzz off (6 months ago)

Homepage: flyfishct.com

Birthday: Sep 12, 1964

About Me:

                                    

A VERY WIERD WORLD

 

“L'imagination est plus importante que le savoir”

Tout le monde connaît Albert Einstein. E=MC^2 c'est lui bien sûr, mais que savez-vous d'autres? Comment a vécu cet homme dans les tourments de la guerre? Comment s'est-il fait connaître du grand public? Quels ont été ses grands travaux? Comment ça, vous le croyez père de la bombe atomique! Grosse erreur! Il n'en est rien. Beaucoup d'interrogations autour de ce personnage mythique auxquelles je vais répondre brièvement.

 

 

GENERAL RELATIVITY:

Visible Light Spectrum

                                          

A Brief Explanation of the
Fundamental Ideas

sin2θ   + cos2θ   =   1

v/c   =   sinθ

Substitute v/c for sin θ, then solve for cosθ

(v/c)2   + cos2θ   =   1

cos2θ   =   1   –   (v/c)2

cosθ   =   [1   –   (v/c)2]1/2

 

1/cosθ   =   secθ   =   1/[1   –   (v/c)2]1/2   =   “Space-Time Compression Factor”            

                         

                                      

Image:Inverse square law.svg

                                      

ParameterValueDescription
Basic parameters
H0 73.2^{+3.1}_{-3.2} km s-1Mpc-1 Hubble parameter
Ωb 0.0444^{+0.0042}_{-0.0035} Baryon density
Ωm 0.266^{+0.025}_{-0.040} Total matter density (baryons + dark matter)
τ 0.079^{+0.029}_{-0.032} Optical depth to reionization
As 0.813^{+0.042}_{-0.052} Scalar fluctuation amplitude
ns 0.948^{+0.015}_{-0.018} Scalar spectral index
Derived parameters
ρ0 0.94^{+0.06}_{-0.09}\times10^{-26} kg/m3 Critical density
ΩΛ 0.732^{+0.040}_{-0.025} Dark energy density
zion 10.5^{+2.6}_{-2.9} Reionization red-shift
σ8 0.772^{+0.036}_{-0.048} Galaxy fluctuation amplitude
t0 13.73^{+0.13}_{-0.17}\times10^9 years Age of the universe

      

Table 1:  Velocity and Space-Time Compression

AngleθDegreesMeasuredVelocity= v = (c)(sinθ)v/c = sinθDistance(Length)Contractionor Time DilationFactor = cosθ= [1 – (v/c)2]1/2Space-TimeCompressionFactor= γ = 1/cosθ = secθ= 1/[1 – (v/c)2]1/2EffectiveVelocity= veff = (c)(tanθ)= (c)(sinθ/cosθ)[veff/c] = tanθ   0.000 0.000 1.000   1.000   0.000   2.866 0.050 0.999   1.001   0.050   5.739 0.100 0.995   1.005   0.101   8.627 0.150 0.989   1.011   0.152 11.537 0.200 0.980   1.021   0.204 14.478 0.250 0.968   1.033   0.258 17.458 0.300 0.954   1.048   0.314 20.487 0.350 0.937   1.068   0.374 23.578 0.400 0.917   1.091   0.436 26.744 0.450 0.893   1.120   0.504 30.000 0.500 0.866   1.155   0.577 33.367 0.550 0.835   1.197   0.659 36.870 0.600 0.800   1.250   0.750 40.542 0.650 0.760   1.316   0.855 44.427 0.700 0.714   1.400   0.980 45.000 0.707 0.707   1.414   1.000 48.590 0.750 0.661   1.512   1.134 53.130 0.800 0.600   1.667   1.333 58.212 0.850 0.527   1.898   1.614 60.000 0.866 0.500   2.000   1.732 64.158 0.900 0.436   2.294   2.065 71.805 0.950 0.312   3.203   3.042 73.739 0.960 0.280   3.571   3.428 75.930 0.970 0.243   4.113   3.990 78.522 0.980 0.199   5.025   4.925 81.890 0.990 0.141   7.470   7.018 84.268 0.995 0.100 10.013   9.962 85.000 0.996 0.087 11.474   11.430 85.561 0.997 0.077 12.920   12.882 86.376 0.998 0.063 15.819   15.789 87.437 0.999 0.045 22.366   22.340 
                                    Image:Gravwav.gif           Image:Star collapse to black hole.png    

\frac{\Phi}{c^2}=\frac{GM_\mathrm{sun}}{r_\mathrm{orbit}c^2} \sim 10^{-8}, \quad \left(\frac{v_\mathrm{Earth}}{c}\right)^2=\left(\frac{2\pi r_\mathrm{orbit}}{(1\ \mathrm{yr})c}\right)^2 \sim 10^{-8}

Image:PrismAndLight.jpg 

                                          

d(\mathbf{x}, \mathbf{y}) = \|\mathbf{x} - \mathbf{y}\| = \sqrt{\sum_{i=1}^n (x_i - y_i)^2}. Image:Orbit2.gif  

Image:Military laser experiment.jpg   

R_{\mu <br/>u} - {1 \over 2}g_{\mu <br/>u}\,R - g_{\mu <br/>u} \Lambda = -{8 \pi G \over c^4} T_{\mu <br/>u}.  


  Image:Atomic clocks.jpg

\mathbf{F}_{12} = - G {m_1 m_2 \over {\vert \mathbf{r}_{12} \vert}^2} \, \mathbf{\hat{r}}_{12}                

 

            

(h^{ij}<br/>abla_{i}<br/>abla_{j} - 2R^{(3)})\Phi_{A} = 0,       
Image:String theory.svg      

R^{(3)}_{ij} = 2[<br/>abla_{i}\Phi_{A}<br/>abla_{j}\Phi_{A} - (1+ 4 \Phi^{2})^{-1}<br/>abla_{i}\Phi^{2}<br/>abla_{j}\Phi^{2}],          
Image:World line2.svg
Image:AxialTiltObliquity.png
Image:Light-wave.svg



 Image:Albert Einstein signature.svgImage:Albert Einstein as a child.jpg  Image:1919 eclipse positive.jpg  

\begin{matrix}g_{00} = -1+2U-2\beta U^2-2\xi\Phi_W+(2\gamma+2+\alpha_3+\zeta_1-2\xi)\Phi_1 +2(3\gamma-2\beta+1+\zeta_2+\xi)\Phi_2 \\ \ +2(1+\zeta_3)\Phi_3+2(3\gamma+3\zeta_4-2\xi)\Phi_4(\zeta_1-2\xi)A-(\alpha_1-\alpha_2-\alpha_3)w^iw^iU \\ \ -\alpha_2w^iw^jU_{ij}+(2\alpha_3-\alpha_1)w^iV_i \end{matrix}
g_{0i}=-\textstyle\frac12(4\gamma+3+\alpha_1-\alpha_2+\zeta_1-2\eta)V_i-\textstyle\frac12(1+\alpha_2-\zeta_1+2\xi)W_i -\textstyle\frac12(\alpha_1-2\alpha_2)w^iU-\alpha_2w^jU_{ij}\;
g_{ij}=(1+2\gamma U)\delta_{ij}\;

 

R_{ab} - {1 \over 2}R g_{ab} = \frac{8 \pi G}{c^4 \mu_0} (\, F_{a}{}^{s} F_{sb} + {1 \over 4} F_{st} F^{st} g_{ab}) \
 Image:EnsteinRingZoomOptimised.gif Image:Acceleration.svg 

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