Well kiddo, δ34s is a way that scientists measure the amount of sulfur in things like rocks and water to help them learn about the history of our planet.
Now, you might remember from science class that sulfur is an element that is found in many places on Earth, like volcanoes and the ocean. Scientists can use a special machine that looks at the ratio of two different kinds of sulfur atoms, called isotopes, in a sample.
The machine compares the amount of the lighter isotope, sulfur-32, to the heavier isotope, sulfur-34. The difference between these two isotopes is very small, but the machine can still detect it. We call this difference the "δ34s value."
By measuring the δ34s value, scientists can learn things like how old a rock is, or where water in a certain area came from. For example, if a scientist finds a rock with a very high δ34s value, that might mean it came from a volcanic eruption.
So basically, δ34s is a tool that scientists use to help them understand the history of our planet by looking at the amount of different sulfur isotopes in rocks and water.