Yet, making two everyday objects pass through each other is not that easy ...
Additionally, the densities of the systems are also very different (not in absolute terms of course)
As long as the 2nd law is in play, I could see the two objects as being passed through each other. One side you have particlesA[cub1_particles, new_fusion_particles] and on the other side you have particlesB[cube2_particles, new_fusion_particles]. Both of these would sum to the same thermodynamic energy of [cube1, cube2].
Right?
Good opportunity to plug https://savechandra.org/why/
NGC 2207 https://www.chandra.harvard.edu/photo/2014/ngc2207/ ("Colliding galaxies like this pair are well known to contain intense star formation. Shock waves — like the sonic booms from supersonic aircraft — form during the collision, leading to the collapse of clouds of gas and the formation of star clusters")
NGC 1232 https://chandra.harvard.edu/photo/2013/ngc1232/ (the text below the image is excellent).
Stephan's Quintet https://chandra.harvard.edu/photo/2009/stephq/ (be sure to use the "View Wavelengths" buttons right below the image, and mouse over the image for annotations)
There are lots of other examples. While brief <https://en.wikipedia.org/wiki/Interacting_galaxy#Galaxy_coll...> is decent, and can take you to the longer https://en.wikipedia.org/wiki/Galaxy_merger, which is pretty encyclopedic on that branch of galaxy-interaction outcomes.
Spongebob pretty clearly doesn't account for gas. The initial velocities are also not really comparable to a galaxy-galaxy interaction. And of course it's in two spatial dimensions, so fewer ways that any pair of particles might avoid each other than in our three.
And to answer the grandparent comment, the gravitational interaction of particle-particle close calls in Spongebob are suppressed, so no collisions. Gravitation is the only force modelled, so no clumping. I arrived at that from scattered Q&A comments in the twitter thread, but also it's pretty clear from eyeballing.