some anwers here
a "Symbol" of the cosmic dance.
the CERN explanation HERE:
The statue is a gift from India, celebrating CERN's long association with India which started in the 1960's and continues strongly today. It was unveiled by the Director General, Dr Robert Aymar, His Excellency Mr K. M. Chandrasekhar, Ambassador (WTO-Geneva) and Dr Anil Kakodkar, Chairman of the Atomic Energy Commission and Secretary, Dept of Atomic Energy, India.In the Hindu religion, this form of the dancing Lord Shiva is known as the Nataraj and symbolises Shakti, or life force. As a plaque alongside the statue explains, the belief is that Lord Shiva danced the Universe into existence, motivates it, and will eventually extinguish it. Carl Sagan drew the metaphor between the cosmic dance of the Nataraj and the modern study of the 'cosmic dance' of subatomic particles.
Yes, but it is also a god worshipped by millions. and not necessarily a "good" god, but one who destroys. (destruction is good because creation follows destruction).
When the ABomb went off, one physicist quote Shiva: I am death destroyer of worlds. So there is a long history of this.
They are saying it is that CERN put it there because of their links to India: But India is not exclusively Hindu, you know. It is the country with the second highest Muslim population.
So why is CERN singling out Indian scientists? What? no Jewish/Christian/Muslims working at CERN? No European atheists? No Russian Orthodox Christians? No Jews there? No Chinese Buddhists?
So why Shiva, and not a reclining Buddha or an icon of Michael the archangel?
And the "Dance" implies circular history: western philosophy is based on the idea of the myth of progress. The dance implies reality is illusion, western philosophy implies reality is real.