Is Newtonian gravity still relevant in modern physics?

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Newtonian gravity remains relevant in modern physics because it provides sufficiently accurate results for many practical applications, especially at human scales and in engineering contexts. While Einstein's general relativity (GR) is more precise for extreme conditions, Newton's laws are simpler and adequate for everyday calculations, such as those involved in civil engineering or vehicle design. The teaching of Newtonian gravity serves as a foundational step in understanding more complex theories, allowing students to grasp essential concepts before tackling advanced topics. Moreover, many professionals, particularly engineers, prioritize functional simplicity over theoretical precision in their work. Thus, Newtonian gravity is not outdated but rather a valuable tool within its applicable range.
SpanishOmelette
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Just a small newbie question. If Newtonian gravity is outdated and therefore inaccurate, why is it still taught?

Surely the fact that Einstein's gravity is right takes priority over the fact that Newton's method is easier.

Am I being ridiculous?

Mahmoud.
 
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SpanishOmelette said:
Just a small newbie question. If Newtonian gravity is outdated and therefore inaccurate, why is it still taught?

Surely the fact that Einstein's gravity is right takes priority over the fact that Newton's method is easier.

Start with Asimov's classic essay http://chem.tufts.edu/AnswersInScience/RelativityofWrong.htm
 
On scales comparable to a human being, Newton's theory is accurate enough.
GR only becomes necessary when describing objects on very large scales and very high speeds..
It makes no practical difference in the case of ,for example, civil engineering projects, or building vehicles.
It would just make things vastly more complicated and produce no useful improvement.
In some cases though we do need to use GR, such as in synchronisation of GPS satellites.
 
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SpanishOmelette said:
Just a small newbie question. If Newtonian gravity is outdated and therefore inaccurate, why is it still taught?

Surely the fact that Einstein's gravity is right takes priority over the fact that Newton's method is easier.

Am I being ridiculous?

Mahmoud.
In this case, yes.

Newton's laws are still taught because, on the whole for many applications, they give reasonably correct answers. It is only in extreme cases where the discrepancy between the Newtonian and the Einsteinian theories can be measured with any accuracy. Often in pedagogy, it is desirable to introduce concepts gradually, starting with simple models and then progressing to more complex topics as needed, rather than starting with the most complex concepts.
 
Or look at this way.
If I want to design a weighing machine suitable for a shopkeeper selling vegetables, I can do this using Newton's laws and a make a highly accurate machine for the purpose.
I don't need to consider the possibility of billion ton vegetables moving close to light speed.
 
The Apollo program used Newtonian gravity, not general relativity.
 
SpanishOmelette said:
Surely the fact that Einstein's gravity is right takes priority over the fact that Newton's method is easier.
Hmm, I think this may be symptomatic of a misunderstanding of what science does. Science is about finding accurate models. Newtonian gravity has been experimentally confirmed to be a very accurate model for many situations. In those situations it is every bit as "right" as GR.
 
In physics, you use the simplest model that suits your purpose. Whichever error there may is included in the uncertainty.
 
If you want to understand the dynamics of a huge gravitational source as accurately as possible, use GR. If you want to be able to calculate anyone of the millions of things that involve gravity but don't require the accuracy you can get with GR, use Newtonian gravity. It's about 10,000 times simpler. Remember that many people who learn science don't become researchers, but engineers, who don't care what the most accurate theory is. They only care they have something that works well enough and is simple enough to use in their jobs.
 
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The correspondence principle implies that Newtonian gravity is not wrong; it's just not as complete as GR. This means that GR can be trusted up to higher energy scales than Newton. But GR itself is also not complete; we suspect that for certain energy scales GR will break down too.

If I want to describe a cannonball flying through the air, according to your reasoning I would have to use string theory or loop quantum gravity instead of classical physics to describe its motion. Good luck with that.
 
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