Quantitative Predictions from Higher Math? Relativity, Quantum Field, String

In summary, the conversation discusses how to obtain quantitative answers from various theories, such as Einstein's theory of relativity and quantum mechanics. It is mentioned that string theory may not be able to make quantitative predictions, but relativity and quantum mechanics have been confirmed by experiments. The conversation also mentions that the "physics" version of quantum mechanics is different from the "chemistry" version and uses matrices.
  • #1
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How do you get a quantitiative answer from these theories?

Like, how did Einstein calculate the gravitational deflection of a light ray? How does one go from abstract algebra in quantum theory to quantitative descriptions of orbitals and chemical bonding? Can string theory make a single quantitative prediction?
 
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  • #2
I don't think string theory can make any quantitative predictions, but relativity and quantum mechanics make a large number of quantitative predictions that are confirmed by experiment. Get any good book on either of these topics and it will go through how to do the calculations. On the specific problem you asked about (gravitational deflection of light rays), this site goes through the calculation:

http://en.wikipedia.org/wiki/Kepler_problem_in_general_relativity#Bending_of_light_by_gravity
 
  • #3
thank you for the link. my question was there because apparently the "physics" version of quantum mechanics is different than the "chemistry" version and it uses matricies or something.
 

1. What is the purpose of using higher math in predicting phenomena in fields like relativity, quantum mechanics, and string theory?

The purpose of using higher math in these fields is to create accurate mathematical models that can predict and explain complex phenomena in the physical world. These mathematical models are necessary to understand and make predictions about the behavior of particles on a subatomic level, the interactions between matter and energy, and the structure of the universe.

2. How do scientists use quantitative predictions from higher math in their research?

Scientists use quantitative predictions from higher math in their research by applying these mathematical models to real-world data and observations. They use mathematical equations and calculations to make predictions about the behavior of particles and the structure of the universe, and then test these predictions through experiments and observations.

3. What are some examples of quantitative predictions made using higher math in the fields of relativity, quantum mechanics, and string theory?

Examples of quantitative predictions made using higher math in these fields include the prediction of the Higgs boson particle in the Standard Model of particle physics, the prediction of gravitational waves in Einstein's theory of general relativity, and the prediction of the existence of multiple dimensions in string theory.

4. Why is it important to have accurate quantitative predictions in these fields?

Accurate quantitative predictions in these fields are important because they allow us to better understand the fundamental laws and principles that govern the behavior of the universe. They also allow us to make advancements in technology and develop new technologies that can improve our lives.

5. How do scientists ensure the accuracy of their quantitative predictions from higher math?

Scientists ensure the accuracy of their quantitative predictions from higher math through rigorous testing and verification. This involves comparing the predictions to real-world data and observations, repeating experiments multiple times, and refining the mathematical models as new data and observations become available.

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