Can a One Inch Equation Truly Explain Everything in Physics?

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Discussion Overview

The discussion revolves around the concept of a "one inch equation" that could potentially explain all of physics. Participants explore the feasibility of such an equation, what it might consist of, and whether existing fundamental equations could serve as a basis for this idea.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants question the physical possibility of a one inch equation that explains everything in the universe.
  • Others point out that many fundamental equations are compact and elegant, citing examples like Maxwell's Equations and the Schrödinger Equation, suggesting that a unifying equation could also be similarly concise.
  • There is a challenge regarding how an equation could encapsulate all phenomena in the universe, with some arguing that existing equations explain a vast majority of phenomena, while others express skepticism about their completeness.
  • One participant mentions the inflation period of the universe, inquiring if there is a specific equation that describes its expansion.
  • A later reply suggests that the second equation mentioned could be used to derive the expansion by inserting the correct value for temperature.

Areas of Agreement / Disagreement

Participants express differing views on whether a single equation can encompass all physical phenomena. While some assert that existing equations cover most phenomena, others remain unconvinced about their ability to explain everything comprehensively. The discussion does not reach a consensus.

Contextual Notes

Participants reference specific equations and their applications, but there are unresolved questions about the completeness of these equations and their ability to address all aspects of the universe.

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I hear physicist talk about a theory of everything, or a one inch theory.
First of all, is it physically possible to have a equation that is one inch long that can explain everything?
Second, what would the equation consist of? Obviously I'm not asking what exactly would it be, because if you knew you would publish it. But what would someone expect it to be on the lines of.

Is this possible?
 
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Most fundamental equations are extremely compact in their classical form. They also don't tell you anything useful until you expand all the terms. For example, here is the Maxwell's Equations in SR formalism.

[tex]\Box A^{\nu} = \mu_0 j^{\nu}[/tex]

Or here is the field equation from General Relativity that describes curvature of space-time.

[tex]G_{\mu\nu}=8\pi T_{\mu\nu}[/tex]

Classical Quantum Mechanics is pretty much covered by Schrödinger Equation.

[tex]H\psi = E\psi[/tex]

Well, you get the picture. These are some pretty fundamental equations. It wouldn't be terribly surprising if the equation covering all of the above would end up being just as elegant in its most simplified form.
 
Yes but those equations are explaining certain phenomena, an equation would be dealing with everything in the universe and the universe itself I'm assuming. How would one be able to wrap it up into something noted above.
 
Flustered said:
Yes but those equations are explaining certain phenomena
No. These equations, together, explain almost all phenomena. In fact, if you name me a phenomenon, I can almost promise you that it falls within one of these 3 or some combination thereof. The major exceptions are condensed matter stuff (superconductors, etc) and particle physics. I left these out by choosing to go with Schrödinger's Equation instead of pulling something from RQFT to make the equations a bit more familiar.

There really are just a handful of equations that are truly fundamental, and they all have a very simple form.
 
So is there an equation for how the inflation period expanded?
 
Sure. Just put correct value for T in the second equation.
 

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