Why can't we just use one theory for everything?

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The discussion centers on the confusion surrounding the behavior of light in relation to gravity, particularly in the context of black holes and wormholes. It highlights that while light is considered massless in classical mechanics, general relativity explains that light is affected by gravity due to the curvature of space-time, not by gravitational force in the traditional sense. Participants note that Newtonian physics fails to accurately describe light's behavior, necessitating the use of general relativity for precise understanding. The conversation emphasizes the necessity of different theories for different contexts, with general relativity being the more comprehensive framework. Ultimately, the key takeaway is that while simpler theories like Newton's are useful for everyday applications, they do not account for the complexities of light and gravity as described by relativity.
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I don't really understand this formula but if light has no mass, then how comes a black hole can pull it in?

F=G\frac{MassLight\times MassWormhole}{WormholeRadius^2} = G\frac{0}{WormholeRadius^2}= 0

My question is if light experiences no gravitational force wherever it is in the universe, why can a wormhole pull it in?

I know you guys probably get stupid questions like this all the time but my mind often wonders into things I don't understand.

Hope someone can clear up my ill thinking.
 
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Nevermind, I just found on the forums it's due to GR and the fact that the space-time itself is bent so light isn't actually being pulled due to the sheer gravitational force of the wormhole but because space-time is curved.

Pretty neat really
 
uperkurk said:
0f36df929ac9d711a8ba8c5658c3bfee.png


I don't really understand this formula but if light has no mass, then how comes a black hole can pull it in?

F=G\frac{MassLight\times MassWormhole}{WormholeRadius^2} = G\frac{0}{WormholeRadius^2}= 0

My question is if light experiences no gravitational force wherever it is in the universe, why can a wormhole pull it in?

There is a gravitational deflection of light in classical mechanics:

F = G \cdot \frac{{M \cdot m }}{{r^2 }} = m \cdot a

a = G \cdot \frac{M}{{r^2 }}

As light is not massless in classical mechanics this works for photons without problems and due to

\mathop {\lim }\limits_{m \to 0} \frac{m}{m} = 1

it could also be used for massless objects.

However, the results does not fit to reality. (e.g. the deflection of light in the gravitational field of the Sun is double as high) You can't use Newton's law of gravity for light or black holes. General relativity must be used to get the correct results.
 
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How is it possible that in one field of physics light is massless but in another it isn't? How can you guys just chop and change things like that?
 
uperkurk said:
How is it possible that in one field of physics light is massless but in another it isn't? How can you guys just chop and change things like that?

1. There are different theories for light.
2. There are different definitions of mass.
 
uperkurk said:
I don't really understand this formula but if light has no mass, then how comes a black hole can pull it in?
According to Newton's second law, how much force is required to accelerate a massless object?

Of course, the real answer requires relativity. Newtonian physics doesn't treat massless particles correctly. But the point is that you need to think about your premise a bit and see if it makes sense.
 
uperkurk said:
How is it possible that in one field of physics light is massless but in another it isn't? How can you guys just chop and change things like that?

I think the answer is that one theory is correct in all instances that we're discussing (Relativity), while another is correct in only some instances (Newton). Ideally we would just use Relativity for everything, but Newton's theory is much simpler and easier to use...so we only use Relativity when we really really have to. The key is knowing when that is.

As an example, we all know that the Earth is round. Nevertheless, for everyday basic tasks such as walking around, throwing a ball, etc, thinking of the Earth as being flat is good enough, because accounting for the curvature of the Earth will give you practically the same result, but with a much larger headache.
 

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