Draw a colorful diagram [closed]

Question

Is there some way to draw a similar diagram on Latex?

(1) I can draw the axes.

(2) We can forget about the shaded color background area for the moment.

This figure looks too fancy to be drawn by LaTex tikz?

Thank you for your attention and time!

Answer 1

As CarLaTeX says, the answer is yes. Of course, one may tune it further by making the fading more sophisticated.

\documentclass[tikz,border=3.14mm]{standalone}
\usetikzlibrary{fadings,calc,snakes,shadows.blur}
\makeatletter % https://tex.stackexchange.com/a/432949/121799
\tikzset{ % based on https://tex.stackexchange.com/q/328433/121799
/tikz/render blur shadow/.code={
    \pgfbs@savebb
    \pgfsyssoftpath@getcurrentpath{\pgfbs@input@path}%
    \pgfbs@compute@shadow@bbox
    \pgfbs@process@rounding{\pgfbs@input@path}{\pgfbs@fadepath}%
    \pgfbs@apply@canvas@transform
    \colorlet{pstb@shadow@color}{white!\pgfbs@opacity!\my@shadow@color}%
    \pgfdeclarefading{shadowfading}{\pgfbs@paint@fading}%
    \pgfsetfillcolor{\my@shadow@color}%
    \pgfsetfading{shadowfading}%
       {\pgftransformshift{\pgfpoint{\pgfbs@midx}{\pgfbs@midy}}}%
    \pgfbs@usebbox{fill}%
    \pgfbs@restorebb
  },}
\tikzset{
  /tikz/shadow color/.store in=\my@shadow@color,
  /tikz/shadow color=gray,
}
\makeatother
\definecolor{myblue}{RGB}{0,100,255}
\tikzfading[name=fade out,
inner color=transparent!0,
outer color=transparent!100]
\begin{document}
\begin{tikzpicture}[every shadow/.style={shadow blur steps=20,
  shadow scale=1.2,shadow xshift=0pt,shadow yshift=0pt,shadow opacity=100}]
% quarter circles
\fill[orange!20] (0,0) rectangle (8,4);
\fill[myblue!20] (0,4) arc(90:0:4) -| cycle;
\fill[red!20] (8,4) arc(90:180:4) -| cycle;
% dashed arcs
\draw[dashed,gray,very thick] (70:4) arc(70:0:4) arc(180:110:4);
% axes
\draw[very thick,latex-latex] (0,5) node[anchor=north west,xshift=1mm,font=\Large]{$T$} 
|- (8.5,0) node[yshift=-1mm,anchor=north east,font=\Large] (m) {$m$};
\draw[very thick] (4,0) -- ++(0,-0.1);
\path (4,0|-m) node[font=\Large] {$0$} (2,0|-m) node[font=\Large]{$n=0$} 
(6,0|-m) node[font=\Large]{$n=-1$};
% circles in circle left
\draw[thick,myblue!80] (1.5,1) coordinate(X1) circle(0.6);
\draw[fill=green!60!black] ($(X1)+(100:0.3)$) circle(0.2);
\draw[fill=red] ($(X1)+(220:0.3)$) circle(0.2);
\draw[fill=myblue!80] ($(X1)+(340:0.3)$) circle(0.2);
% circles in circle right
\draw[thick,myblue!80] (6.5,1) coordinate(X2) circle(0.6);
\draw[fill=myblue!80] ($(X2)+(100:0.3)$) circle(0.2);
\draw[fill=red] ($(X2)+(220:0.3)$) circle(0.2);
\draw[fill=green!60!black] ($(X2)+(340:0.3)$) circle(0.2);
% snaky triangle
\coordinate (X3) at (3.2,3.3);
\draw [decorate,decoration={snake,amplitude=.4mm,segment length=2mm},
thick,magenta] ($(X3)+(210:0.3)$) coordinate (X3a)
-- ($(X3)+(330:0.3)$) coordinate (X3b) -- ($(X3)+(90:0.3)$) coordinate (X3c)
-- cycle;
\draw[fill=red] (X3a) circle(0.1);
\draw[fill=blue!80] (X3b) circle(0.1);
\draw[fill=green!60!black] (X3c) circle(0.1);
% sand watch
\coordinate (X4) at (4.8,3.3);
\draw[thick] ($(X4)+(45:0.3)$) -- ($(X4)+(225:0.3)$)
($(X4)+(-45:0.3)$) -- ($(X4)+(-225:0.3)$)
($(X4)+(90:{0.3/sqrt(2)})$) circle({0.3/sqrt(2)} and 0.06)
($(X4)+(-90:{0.3/sqrt(2)})$) circle({0.3/sqrt(2)} and 0.06);
\draw[thick,dashed,red] ($(X4)+(180:0.3)$) -- ($(X4)+(0:0.3)$);
% text nodes
\node[font=\Large] at (4,3.3) {$\sim$};
\node[font=\bfseries] at (4,1.5) {\emph{DQCP}};
% blurry region
\clip (0,0.8pt) rectangle (8,5);
\fill [myblue!80,path fading=fade out] (2.25,-2.25) rectangle (5.75,1.75);
\path[blur shadow={shadow color=myblue!40}] (4,-0.5) circle (1);
\node[font=\Huge\bfseries] at (4,0.6) {?};
\end{tikzpicture}
\end{document}