  The light braneworld radion, stabilized via the Goldberger-Wise mechanism in
the Randall-Sundrum model, can be produced copiously inside the supernova core
due to plasmon-plasmon annihilations. The radion, thus produced, subsequently
decays to a neutrino-antineutrino pair and takes away the energy released in
the SN1987A explosion. Assuming that the supernovae cooling rate for any new
physics channel(Raffelt's criterion) $\dot{\varepsilon}(\gamma_P\gamma_P
\stackrel{\phi}{\longrightarrow} \nu_{\tau} \overline{\nu}_{\tau}) \leq
7.288\times 10^{-27} \rm{GeV}$, we find the lower bound on the radion vacuum
expectation value $\langle\phi\rangle \sim 3$~TeV for $m_\phi = 30$ MeV
corresponding to the deformation parameter $q=1.17$ in the Tsallis statistics
formalism. In the scenario with $q=1$, we find $\langle\phi\rangle = 178$ GeV
for $m_\phi = 30$ MeV.
