James Fodor

speaker

3,084 appearances 4 recordings 1 series first heard Jun 2026 last heard 30 Aug

James Fodor’s voice in public audio — every appearance, attributed to the second.

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recordings per month · last 12 months

Recordings per month over the last 12 months — 4 in all, peaking in Aug 2026 with 2.

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The Science of Everything Podcast · Episode 164: Gauge Theory and the Higgs Boson · 30 Aug 2026 podcast

Normally, the higher the value of the field, the higher the potential energy.

That's what a quadratic is.

It goes up either way.

Negative numbers or positive numbers, the higher the value of the field, the higher the potential energy.

And that kind of is sort of more intuitive, potentially.

But with our quartic function, the higher the value of the field,

Does not necessarily mean that there's a higher potential.

So let's let's walk this through.

Suppose that we start with a zero field, like zero, no field there, zero value of the field.

It has no potential.

But now let's imagine increasing the field value a little bit.

Well, what happens with this special structure is that the potential actually goes down.

There's a lower potential energy with a positive field.

And at some point it reaches a minimum.

And then if you increase the field value even further, then the potential

That's going up.

So this is a weird, it's a different type of potential structure that the potential actually goes down for a bit with when you increase the field before going up.

Now this is important because those minima on either side of like you think of it as a hill and there's like a valley that surrounds the hill, the minimum energy point of the field is actually in that valley.

So the minimum energy value of the field corresponds to a non-zero field value.

What happens in nature is that physical states tend towards a lowest energy state, at least in expectation, like it'll fluctuate around that lowest energy state.

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