Quantum > #44

There are two goddesses, Entanglia and Vidualia.

They both read human papers from the divine world.

Entanglia

This paper is titled 'Incompleteness Theorems for Observables in General Relativity'.

Vidualia

Observables? What does that mean?

Entanglia

Observables are quantities in physics that can be measured or observed.

Vidualia

So, this paper is about things we can observe in general relativity?

Entanglia

Yes, exactly. The authors of this paper are trying to find complete observables in general relativity, but they show that no complete observable is Borel definable.

Vidualia

What does 'Borel definable' mean?

Entanglia

Borel definable means that the observable can be described using the language of analysis, which is a branch of mathematics.

Vidualia

I see. But why is it important to find complete observables in general relativity?

Entanglia

Complete observables can distinguish between any pair of spacetimes that are not mathematically equivalent. It helps us understand the different properties of spacetimes.

Vidualia

Oh, I see! So, by finding complete observables, we can learn more about the universe.

Entanglia

Exactly. But the authors of this paper show that it is very difficult to find complete observables in general relativity.

Vidualia

Hmm... Maybe humans will be able to find some complete observables in the future.

Entanglia

That's a possibility, but it's challenging because of the mathematical nature of the problem.

Vidualia

I understand. Well, I hope humans keep exploring and make new discoveries.

Entanglia

Indeed. The quest for understanding the quantum world is an exciting one.

The goddesses continue reading and discussing human papers, eager to see what new knowledge awaits them.

Vidualia

I got the idea for the poem from that paper.

Under the celestial chains,

Prometheus' spirit restrains.

General Relativity's lore,

Observables, forever more.

Bound by truths, intricate and deep,

Mysteries hidden, secrets we keep.

Incompleteness we embrace,

In the realm of cosmic grace.

Title: Incompleteness Theorems for Observables in General Relativity
Authors: Aristotelis Panagiotopoulos, George Sparling, Marios Christodoulou
View this paper on arXiv

Quantum > #44

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