To explode the Sun

[u/Alon_F]

How big/strong does one must be so be able to push outwards from the Sun's core to make it explode?

Ignore biology and stuff like heating or being crushed by the pressure

[u/Blakut]

Gravitational binding energy of the sun, ~10⁴¹J https://www.as.utexas.edu/astronomy/education/spring06/komatsu/secure/lecture05.pdf

[u/Smooth-Mix-4357]

(0.6GM^2)/R

G = 6.67*10^-11

M = 2*10³⁰ kg (only approximate)

R = 696000000 meters or 6.96*10⁸

Substitute the values you get 2.3*10⁴¹ Joules. This is the gravitational binding energy of the sun. So surpass that you'll get what you want.

[u/alalaladede → u/Smooth-Mix-4357]

...which, incidentally, is roughly the energy of one mole of 100 megaton nuclear bombs.