Physics Is A Mathematical Model

In summary, the conversation discusses the use of mathematics and mathematical models in physics to describe the relationships of mass, momentum, and energy. The confusion arises when some people do not understand that physics is not limited to Euclidean geometry or models based on it. However, the principles in physics are based on logical deductions from abstract postulates.
  • #1
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I participated in a recent thread where it was obvious the poster was confused about what physical theories are.

Of course they are mathematical models, but they say the mathematics can't be the reality etc etc. I am sure regular posters here have seen the arguments - they appear with surprising regularity.

What I have never understood is pretty much everyone studies Euclidean geometry at school. All physics does is model itself on that. Points with no part don't exist. Lines with only length don't exist - yet everyone has zero problem applying it from surveyors and engineers, to guys that lay concrete about their house.

But for some reason some get confused about it in physics.

Thanks
Bill
 
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  • #2
Physics uses mathematics and mathematical model to quantitatively describe relationships of mass, momentum and energy of matter and non-matter in time and space.

bhobba said:
. . . Euclidean geometry . . . . All physics does is model itself on that.
Physics is a lot more than Euclidean geometry or models based on Euclidean geometry.
 
  • #3
Astronuc said:
Physics is a lot more than Euclidean geometry or models based on Euclidean geometry.

Good point.

I was thinking in terms of the principles involved where its a logical deduction from stated abstract postulates.

Thanks
Bill
 

1. What is a mathematical model in physics?

A mathematical model in physics is a simplified representation of a physical system using mathematical equations and calculations. It allows scientists to describe and understand complex phenomena and make predictions about how the system will behave.

2. How is mathematics used in physics?

Mathematics is used in physics to create mathematical models that describe and explain natural phenomena, such as the motion of objects, the behavior of light and sound, and the interactions between particles. Mathematics also provides a universal language for expressing and testing theories and hypotheses in physics.

3. What are the benefits of using a mathematical model in physics?

The use of a mathematical model in physics allows scientists to make quantitative predictions and test hypotheses about complex systems. It also enables them to simplify and understand complex phenomena, identify patterns, and make connections between different areas of physics.

4. How accurate are mathematical models in physics?

The accuracy of a mathematical model in physics depends on the assumptions and simplifications made in the model. In some cases, mathematical models can accurately predict the behavior of a physical system. However, in other cases, the model may have limitations and may not fully capture all aspects of the system.

5. How do scientists validate mathematical models in physics?

Scientists validate mathematical models in physics by comparing their predictions to experimental data. If the model's predictions closely match the observed data, it is considered a valid representation of the physical system. Scientists also continuously refine and improve models based on new evidence and observations.

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