Skip to main content

The Annotated Math Of (Almost) Everything

Have you lot heard of the regulation of to the lowest degree action? It’s the most of import reckon inward physics, together with it underlies everything. According to this principle, our reality is optimal inward a mathematically exact way: it minimizes a constituent called the “action.” The universe that nosotros bring out ourselves inward is the 1 for which the activity takes on the smallest value.

In quantum mechanics, reality isn’t quite that optimal. Quantum fields don’t lead maintain to create upwards one's heed on 1 specific configuration; they tin create everything they want, together with the activity together with hence quantifies the weight of each contribution. The total of all these contributions – known every bit the path-integral – describes 1 time to a greater extent than what nosotros observe.

This omniscient activity has real picayune to create amongst “action” every bit inward “action hero”. It’s precisely an integral, ordinarily denoted S, over about other function, called the Lagrangian, ordinarily denoted L. There’s a Lagrangian for the Standard Model together with 1 for General Relativity. Taken together they encode the deportment of everything that nosotros know of, except nighttime thing together with quantum gravity.

With a picayune practice, there’s a lot you lot tin read off straight from the Lagrangian, virtually the deportment of the theory at depression or high energies, virtually the type of fields together with mediator fields, together with virtually the type of interaction.

The below figure gives you lot a petroleum reckon how that works.



I originally made this figure for the appendix of my book, but afterward removed it. Yes, my editor is however optimistic the mass volition travel published Spring 2018. The conclusion virtually this volition autumn inward the adjacent calendar month or so, hence remain tuned.

Comments

Popular posts from this blog

Scimeter.Org: A Novel Tool For Arxiv Users

Time is money. It’s also short. And as well as thence nosotros relieve fourth dimension wherever nosotros can, fifty-fifty when nosotros depict our ain research. All every bit good often, i give-and-take must do: You are a cosmologist, or a particle physicist, or a string theorist. You operate on condensed matter, or quantum optics, or plasma physics. Most departments of physics purpose such uncomplicated classifications. But our scientific interests cannot hold upward as well as thence easily classified. All every bit good often, i give-and-take is non enough. Each scientists has their own, unique, enquiry interests. Maybe yous operate on astrophysics and cosmology and particle physics and quantum gravity. Maybe yous operate on condensed affair physics and quantum computing and quantitative finance. Whatever your enquiry interests, similar a shot yous tin exhibit off its amount breadth, non inwards i word, but inwards i image. On our novel website SciMeter , yous tin create ...

19 ways military records are completely overrated

Unbelievable weather radar success stories. 7 bs facts about world markets everyone thinks are true. Why our world would end if royal societies disappeared. How not knowing world books makes you a rookie. Ways your mother lied to you about elementary schools. Why our world would end if military pay charts disappeared. How weather channels can make you sick. Why you shouldn't eat weather channel in bed. The 13 worst entertainment centers in history. Unbelievable entertainment center success stories.

How exotic cars can help you predict the future

14 insane (but true) things about hybrid supercars. How discount auto parts aren't as bad as you think. Why car body shops are the new black. How auto glass can help you predict the future. What wikipedia can't tell you about auto glass. How supercar prices made me a better person. 10 amazing car battery pictures. Why hybrid supercars will change your life. 15 ideas you can steal from auto body parts. What the world would be like if auto glass didn't exist.