Why Hadron Colliders are useful to society and scientific study

Hadron Colliders are useful to society and scientific study because we're able to test theories on quantum mechanics with them, both by smashing atoms and seeing what's inside them at high energies of course, and also due to Time dilation. Part of the usefulness relies on time dilation, that if essentially if two particles hit each other with enough energy and both are traveling near the speed of light, to resolve the particular conundrum time slows down. In nature, nothing can have a higher velocity than the speed of light, so time slows down and the energy is dissipated over time. So two particles moving near the speed of light hitting each other doesn't equal double the speed of light, but it results time slowing down.

Time dilation is an interesting field to study itself that hadron colliders allow us to study. But, we also can measure and observe particles that come in and out of existence too quickly to otherwise know exist or study. The most obvious of this was the Higgs boson, which we have used to confirm Einstein's theory on gravity and discover more about it. Because this Higgs Boson decays almost immediately upon creation, time dilation was an incredibly useful component to finally be able to observe it. At the time the Higgs Boson was theorized as an explanation for important factors in Quantum mechanics, there was not yet any direct evidence that the Higgs field existed, but even without direct proof, the accuracy of its predictions led scientists to believe the theory might be true. By developing the Hadron collider we were able to prove that the theories we had based a lot of our ideas on for the past 30 years were true and, we obviously were able to study them further.

This also can apply to other concepts. Essentially if our theories on things are right, than there should be particles that are coming in and out of existence so quickly we can't observe them that carry the force of things like gravity or magnetism in the forms of Bosons or other particles. This has been confirmed true by getting a powerful enough collider to slow down time enough. With better one's, we can know more about these particles and thus about how everything works, particularly gravity and magnetism. The cost of a hadron collider is usually in the 10's of billions of dollars, so for example if a 22 billion dollar one was built, it would be approximately .5% of the 4+ trillion dollar U.S. budget, for one year. The costs are small in comparison to the value of understanding the universe. If we manage to figure out how things like gravity or spacebending work, there's a lot of stuff we could pull off like faster than light travel, wormholes, artificial gravity for spaceships, neutron lenses for accelerator driven fission and more. Humans have come a long way since hunting with bows and arrows, and new technology means a better standard of living, which depends on scientific understanding of the world.

https://en.wikipedia.org/wiki/Higgs_boson