\batchmode

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\usepackage{amssymb}


\makeatletter

%
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\makeatletter

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\begin{document}
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\onecolumn

% !!! IMAGES START HERE !!!

\stepcounter{section}
\stepcounter{section}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline849}%
$\mathcal{L}_{EM}=-\frac{m}{\gamma V}-\frac{q}{c^{2}V}\frac{U^{\mu }}{\gamma }A_{\mu }-\frac{1}{4c^{2}}(A^{\mu ,\nu }-A^{\nu ,\mu })(A_{\mu ,\nu }-A_{\nu ,\mu })$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline851}%
$\rightarrow \sqrt{G}m$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline853}%
$\rightarrow +$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline855}%
$\rightarrow $%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline857}%
$\mathcal{L}_{g}=-\frac{m}{\gamma V}-\frac{\sqrt{G}}{c^{2}}m\frac{U^{\mu }}{\gamma }A_{\mu }-\frac{1}{4c^{2}}(A^{\mu ;\nu }+A^{\nu ;\mu })(A_{\mu ;\nu }+A_{\nu ;\mu })$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline859}%
$\mathcal{L}_{gEM}=-\frac{m}{\gamma V}-\frac{(\sqrt{G}m+q)}{c^{2}V}\frac{U^{\mu }}{\gamma }A_{\mu }-\frac{1}{2c^{2}}A^{\mu ;\nu }A_{\mu ;\nu }$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline861}%
$=-\frac{m}{\gamma V}-\frac{(\sqrt{G}m+q)}{c^{2}V}(\phi -\overrightarrow{A}\cdot \overrightarrow{V})-\frac{1}{2c^{2}}(A^{\mu ,\nu }-\Gamma _{\omega }^{\: \mu \nu }A^{\omega })(A_{\mu ,\nu }-\Gamma _{\: \mu \nu }^{\omega }A_{\omega })$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline863}%
$=-\frac{m}{\gamma V}-\frac{(\sqrt{G}m+q)}{c^{2}V}(\phi -\overrightarrow{A}\cdot \overrightarrow{V})-\frac{1}{2c^{2}}A^{\mu ,\nu }A_{\mu ,\nu }-\frac{1}{2c^{2}}\Gamma _{\: \mu \nu }^{\omega }(\Gamma _{\omega }^{\: \mu \nu }A^{\omega }A_{\omega }-2A^{\mu ,\nu }A_{\omega })$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline865}%
$\Gamma =0$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline867}%
$\mathcal{L}_{gEM}=-\frac{m}{V}\sqrt{1-(\frac{\partial \overrightarrow{R}}{\partial t})^{2}}-\frac{(\sqrt{G}m+q)}{c^{2}V}(\phi -\overrightarrow{A}\cdot \overrightarrow{V})-\frac{1}{2c^{2}}((\frac{\partial \phi }{\partial t})^{2}-(\nabla \phi )^{2}-(\frac{\partial \overrightarrow{A}}{\partial t})^{2}+(\nabla \overrightarrow{A})^{2})$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

\stepcounter{section}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline869}%
$\partial _{\mu }(\frac{\partial \mathcal{L}}{\partial (\partial _{\mu }\phi )})=\frac{\partial \mathcal{L}}{\partial \phi }$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline871}%
$-\frac{\sqrt{G}}{c}\frac{\gamma m}{V}\frac{\partial R_{u}}{\partial t}-\Box ^{2}A_{\mu }=-\frac{(\sqrt{G}m+q)}{V}\frac{U_{\mu }}{c\gamma }=J_{m}+J_{q}\qquad iff\: \Gamma =0$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline873}%
$\overrightarrow{E}=-\frac{\partial \overrightarrow{A}}{\partial t}-c\overrightarrow{\nabla }\phi $%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline875}%
$\overrightarrow{B}=c\overrightarrow{\nabla }\times \overrightarrow{A}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline877}%
$g=\frac{\partial \phi }{\partial t}+c\overrightarrow{\nabla }\cdot \overrightarrow{A}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline879}%
$g=0\quad iff\; M=0$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline881}%
$\rho _{m}+\rho _{q}=\frac{\partial ^{2}\phi }{\partial t^{2}}-c^{2}\nabla ^{2}\phi =\frac{\partial ^{2}\phi }{\partial t^{2}}+c\frac{\partial }{\partial t}\overrightarrow{\nabla }\cdot \overrightarrow{A}-c\overrightarrow{\nabla }\cdot \frac{\partial \overrightarrow{A}}{\partial t}-c^{2}\nabla ^{2}\overrightarrow{A}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline883}%
$=\frac{\partial g}{\partial t}+c\overrightarrow{\nabla }\cdot \overrightarrow{E}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline885}%
$=c^{2}(\nabla ^{2}\phi -(\nabla ^{2}\phi +\nabla ^{2}\overrightarrow{A}))$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline887}%
$\frac{\partial \phi }{\partial t}=k,\frac{\partial \overrightarrow{A}}{\partial t}=c\overrightarrow{\nabla }\phi $%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline889}%
$\overrightarrow{J}_{m}+\overrightarrow{J}_{q}=\frac{\sqrt{G}}{c}\frac{\gamma m}{V}\frac{\partial \overrightarrow{R}}{\partial t}+\frac{\partial ^{2}\overrightarrow{A}}{\partial t^{2}}-c^{2}\nabla ^{2}\overrightarrow{A}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline891}%
$=\frac{\sqrt{G}}{c}\frac{\gamma m}{V}\frac{\partial \overrightarrow{R}}{\partial t}+\frac{\partial ^{2}\overrightarrow{A}}{\partial t^{2}}+c\frac{\partial }{\partial t}\overrightarrow{\nabla }\phi -c\overrightarrow{\nabla }\frac{\partial \phi }{\partial t}-c^{2}\overrightarrow{\nabla }(\overrightarrow{\nabla }\cdot \overrightarrow{A})+c^{2}\overrightarrow{\nabla }(\overrightarrow{\nabla }\cdot \overrightarrow{A})-c^{2}\nabla ^{2}\overrightarrow{A}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline893}%
$=\frac{\sqrt{G}}{c}\frac{\gamma m}{V}\frac{\partial \overrightarrow{R}}{\partial t}-c\overrightarrow{\nabla }g-\frac{\partial \overrightarrow{E}}{\partial t}+c\overrightarrow{\nabla }\times \overrightarrow{B}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline895}%
$J_{m}^{\mu }=\partial ^{\mu }g$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline897}%
$g=0$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

\stepcounter{section}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline899}%
$\pi ^{\mu }=hc\sqrt{G}\frac{\partial \mathcal{L}}{\partial (\frac{\partial A^{\mu }}{\partial t})}=-F^{\mu 0}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline901}%
$F^{00}=0$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline903}%
$[x^{0},\pi ^{0}]=0$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline905}%
$\pi ^{\mu }=\frac{h\sqrt{G}}{c}\frac{\partial A^{\mu }}{\partial t}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline907}%
$[x^{\mu },\pi ^{\mu }]\neq 0$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline909}%
$\mathcal{L}_{EM}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline911}%
$\mathcal{L}_{gEM}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline913}%
$\partial ^{\mu }A_{\mu }=0\quad iff\: M=0$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

\stepcounter{section}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline915}%
$\mathcal{L}=\bar{\psi }\gamma ^{\mu }D_{\mu }\psi $%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline917}%
$D_{\mu }=\partial _{\mu }-ig_{EM}YA_{\mu }-ig_{weak}\frac{\tau ^{a}}{2}W_{\mu }^{a}-ig_{strong}\frac{\lambda ^{b}}{2}\textrm{G}_{\mu }^{b}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline919}%
$A_{\mu }$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline921}%
$A^{\mu }A^{\nu *}g_{\mu \nu }=\mid A^{0}\mid ^{2}-\mid A^{1}\mid ^{2}-\mid A^{2}\mid ^{2}-\mid A^{3}\mid ^{2}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline923}%
$A^{\mu }A^{\nu *p}g_{\mu \nu }=\mid A^{0}\mid ^{2}+\mid A^{1}\mid ^{2}+\mid A^{2}\mid ^{2}+\mid A^{3}\mid ^{2}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline925}%
$\frac{A}{\mid A\mid }^{\mu }\frac{A}{\mid A\mid }^{\nu *p}g_{\mu \nu }=1$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline927}%
$\frac{A}{\mid A\mid }^{\mu }\frac{A}{\mid A\mid }^{\nu *p}g_{\mu \nu }\neq 1$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline929}%
$\frac{A}{\mid A\mid }^{\mu }\frac{A}{\mid A\mid }^{\nu *p}g_{\mu \nu }$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

\stepcounter{section}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline931}%
$F_{EM}^{\mu }=q\frac{U_{\nu }}{c}(A^{\mu .\nu }-A^{\nu ,\mu })$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline939}%
$F_{g}^{\mu }=\sqrt{G}m\frac{U_{\nu }}{c}(A^{\mu ;\nu }+A^{\nu ;\mu })$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline941}%
$F_{gEM}^{\mu }=\frac{\partial mU^{\mu }}{\partial \tau }=(\sqrt{G}m+q)\frac{U_{\nu }}{c}A^{\mu ;\nu }+(\sqrt{G}m-q)\frac{U_{\nu }}{c}A^{\nu ;\mu }$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline943}%
$F^{\mu }=\frac{\partial mU^{\mu }}{\partial \tau }=m\frac{\partial U^{\mu }}{\partial \tau }+U^{\mu }\frac{\partial m}{\partial \tau }=0$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline945}%
$=mU^{\nu }U_{\: ;\nu }^{\mu }=mU^{\nu }U_{\: ,\nu }^{\mu }+m\Gamma _{\: \nu \omega }^{\mu }U^{\nu }U^{\omega }=m\frac{\partial ^{2}x^{\mu }}{\partial \tau ^{2}}+m\Gamma _{\: \nu \omega }^{\mu }U^{\nu }U^{\omega }$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline947}%
$=(\sqrt{G}m+q)\frac{\partial x_{\nu }}{c\partial \tau }A^{\mu ,\nu }+(\sqrt{G}m-q)\frac{\partial x_{\nu }}{c\partial \tau }A^{\nu ,\mu }-\frac{2}{c}m\Gamma _{\omega }^{\: \mu \nu }U_{\nu }U^{\omega }$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline949}%

% latex2html id marker 949
$\therefore $%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

\stepcounter{section}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline951}%
$\phi =\frac{1}{R}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline953}%
$R=0$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline955}%

% latex2html id marker 955
$\therefore A_{\mu }=(A_{0},\overrightarrow{0})$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline957}%
$A_{\mu }=(\frac{1}{\tau ^{2}},\overrightarrow{0})$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline959}%
$\tau ^{2}=0$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline961}%
$(\frac{1}{\tau ^{2}},\overrightarrow{0})\rightarrow (\frac{\frac{1}{(R_{0}+\frac{k}{2R_{0}}R)^{2}-(T_{0}+\frac{k}{2T_{0}}t)^{2}}}{\frac{1}{R_{0}^{2}-T_{0}^{2}}},\overrightarrow{0})$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline963}%
$t$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline965}%
$R$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline967}%
$\frac{\partial A^{0}}{\partial t}=\frac{k}{\tau ^{2}}+O(k^{2})$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline969}%
$\frac{\partial A^{0}}{\partial R}=-\frac{k}{\tau ^{2}}+O(k^{2})$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline971}%
$F_{g}^{\mu }=\sqrt{G}m\frac{U_{\nu }}{c}(A^{u,\nu }+A^{\nu ,\mu })=m(\frac{\partial t}{\partial \tau },-\frac{\partial R}{\partial \tau })(\frac{k}{\tau ^{2}},\frac{k}{\tau ^{2}})$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline973}%
$F_{g}^{\mu }=m(\frac{k}{\tau ^{2}}\frac{\partial t}{\partial \tau },-\frac{k}{\tau ^{2}}\frac{\partial R}{\partial \tau })$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

\stepcounter{section}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline975}%
$k=GM$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline977}%
$\tau ^{2}=R^{2}-t^{2}\cong R'^{2}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline979}%
$(\frac{\partial t}{\partial \tau },\frac{\partial \overrightarrow{R}}{\partial \tau })\rightarrow (\frac{\partial t}{\partial \mid R\mid },\frac{\partial \overrightarrow{R}}{\partial \mid R\mid })=(0,\hat{R})$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline981}%
$d\tau ^{2}=d\overrightarrow{R}\cdot d\overrightarrow{R}-dt^{2}=0$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline983}%
$(\frac{\partial t}{\partial \tau },\frac{\partial \overrightarrow{R}}{\partial \tau })=(\gamma ,\gamma \overrightarrow{\beta })$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline985}%
$dR^{2}\neq 0\neq f(t)$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline987}%
$(\frac{\partial t}{\partial \mid R\mid },\frac{\partial \overrightarrow{R}}{\partial \mid R\mid })=(0,\hat{R})$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlpictureA{tex2html_wrap1698}%
\includegraphics{minkowski.eps}%
\lthtmlpictureZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlpictureA{tex2html_wrap1699}%
\includegraphics{newton.eps}%
\lthtmlpictureZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline989}%
$F_{g}^{\mu }=(0,-\frac{GMm}{R^{2}}\hat{R})$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

\stepcounter{section}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline991}%
$\frac{\partial ^{2}t}{\partial \tau ^{2}}-\frac{k}{\tau ^{2}}\frac{\partial t}{\partial \tau }=0$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline993}%
$\frac{\partial ^{2}\overrightarrow{R}}{\partial \tau ^{2}}+\frac{k}{\tau ^{2}}\frac{\partial \overrightarrow{R}}{\partial \tau }=0$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline995}%
$(U^{0},\overrightarrow{U})=(\frac{\partial t}{\partial \tau },\frac{\partial \overrightarrow{R}}{\partial \tau })$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline997}%
$\frac{\partial U^{0}}{\partial \tau }-\frac{k}{\tau ^{2}}U^{0}=0$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline999}%
$\frac{\partial \overrightarrow{U}}{\partial \tau }+\frac{k}{\tau ^{2}}\overrightarrow{U}=0$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1001}%
$U^{\mu }=(ce^{-\frac{k}{\tau }},\overrightarrow{C}e^{\frac{k}{\tau }})$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1003}%
$U^{\mu }=(c,\overrightarrow{C})$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1005}%
$U^{\mu }U_{\mu }=\frac{dR^{2}-dt^{2}}{d\tau ^{2}}=1=\overrightarrow{C}\cdot \overrightarrow{C}-c^{2}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1007}%
$d\tau ^{2}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1009}%
$d\tau ^{2}=e^{-\frac{2k}{\tau }}dR^{2}-e^{\frac{2k}{\tau }}dt^{2}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1011}%
$k=GM/c^{2}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1015}%
$\tau \cong \pm R$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1017}%
$d\tau ^{2}=e^{\frac{2GM}{c^{2}R}}dR^{2}-e^{-\frac{2GM}{c^{2}R}}dt^{2}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1019}%
$\frac{GM}{c^{2}R}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1021}%
$d\tau ^{2}=(1+2\frac{GM}{c^{2}R}+2(\frac{GM}{c^{2}R})^{2})dR^{2}-(1-2\frac{GM}{c^{2}R}+2(\frac{GM}{c^{2}R})^{2})dt^{2}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

\stepcounter{section}
{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1023}%
$F^{\mu }=\frac{\partial mU^{\mu }}{\partial \tau }=m\frac{\partial U^{\mu }}{\partial \tau }+U^{\mu }\frac{\partial m}{\partial \tau }$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1025}%
$\frac{\partial U^{\mu }}{\partial \tau }=0$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1029}%
$(0,\frac{\partial m}{\partial \tau }\overrightarrow{V})=(0,-\frac{km}{\tau ^{2}}\hat{R})$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1031}%
$\frac{\partial m}{\partial \tau }+\frac{km}{\tau ^{2}}=0$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1033}%
$m=ce^{\frac{k}{\tau }}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1039}%
$m=ce^{\frac{GM}{c^{2}R}}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlinlinemathA{tex2html_wrap_inline1041}%
$V_{max}$%
\lthtmlinlinemathZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlpictureA{tex2html_wrap1731}%
\includegraphics{constant_v.eps}%
\lthtmlpictureZ
\lthtmlcheckvsize\clearpage}

{\newpage\clearpage
\lthtmlpictureA{tex2html_wrap1732}%
\includegraphics{bang.eps}%
\lthtmlpictureZ
\lthtmlcheckvsize\clearpage}

\stepcounter{section}

\end{document}
