Is Physics Just a Mathematical Model?

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SUMMARY

The discussion centers on the nature of physics as a mathematical model, emphasizing that physics quantitatively describes relationships of mass, momentum, and energy in time and space. Participants highlight the confusion some individuals have regarding the application of mathematical models in physics, particularly in relation to Euclidean geometry. It is established that while physics utilizes mathematical frameworks, it encompasses more than just Euclidean principles. The conversation underscores the importance of understanding the logical deductions derived from abstract postulates in physics.

PREREQUISITES
  • Understanding of mathematical modeling in physics
  • Familiarity with Euclidean geometry concepts
  • Knowledge of mass, momentum, and energy relationships
  • Basic principles of logical deduction in scientific theories
NEXT STEPS
  • Explore advanced mathematical models used in physics
  • Study the implications of non-Euclidean geometries in modern physics
  • Research the role of logical deduction in theoretical physics
  • Investigate the relationship between mathematics and physical reality
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This discussion is beneficial for physicists, mathematics educators, students of physics, and anyone interested in the philosophical implications of mathematical models in science.

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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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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.
 
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
 

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