Hello flat earthers.

I honestly have made an account here just to ask you a question on gravitational force around the Earth.

So Newton's law of universal gravitation is F = -GMm/R^2.

This means that the gravitational force is subject to three things:
1) The mass of the source of the gravitational force, in our case, the Earth, which is around 6x10^24 kg.
2) The mass of the object in question, so in this instance it can be anything - lets just say an average human being with mass 70kg.
3) The radius of the source in question - which is the radius of the Earth, which is around 6,317,000 metres. This is essentially, the displacement between you and the Earth's core.

So I will be taking those values as the working values.

Here is the context: You are on the Earth's LEVEL SURFACE. This context ensures that the radius value from the equation is constant.

I would like to ask you a question.

Is the force of gravity noticeably different if you are at different locations on Earth?
For example, is the gravitational force stronger in NYC and weaker in LA? Is it stronger in Berlin and weaker in Mexico city?

The obvious answer here is no. The force of gravity felt around the Earth is the same, because you don't feel noticeably lighter or heavier, regardless of where you are standing.
This phenomenon only works because you are equidistant from the source of the Earth's gravitational force, which is its core. And this also fits the equation I gave above - as all the variables stay the same where ever you are, the force is constant.

Hence, you will need to suggest a model where, regardless of where you are on the surface of the shape of the earth, the displacement from the Earth's core is constant. And the globe model fits this criteria. Regardless of where you are, granted that it is a level, smooth surface, on a surface of a sphere, you are always equidistant from its centre..

But if I take the current mainstream model of FE, this whole thing crumbles apart.

Firstly, I don't even know where your core is. But let me work with an appropriate model:

The mainstream FE model shows a disc shaped Earth with flat surfaces, so let's say that the 'core', or its centre of mass, is at the halfway point of its length, width, and depth.

Imagine a circular cake, or a circular pie. Now imagine that there is a little spherical marble at the location I just described above, embedded within the cake/pie.

That is your model's centre of mass, or 'core', for the purposes of this model.

Now, I am going to place a lego man at the centre of the cake, on its top surface, and a lego lady at the edge of the cake, also on its top surface. Now imagine: are their displacements from the centre marble the same?

Nope, they aren't. Clearly, the lego man is closer because the marble is directly underneath him, whereas for the lego lady, she has vertical AND horizontal displacement to travel to get to the marble.

So your model suggests that if you are at different locations around the Earth, your displacement from the Earth's core would change.

This poses problems, because according to Newton's law of universal gravitation, the gravitational force would vary. So technically, if your model was true, at the centre of your Earth, which I believe is the north pole, you would have to feel a lot heavier than you do at the south pole, which is the outer edge on your model.

So this leads me to think that your model is flawed. There are lots of other evidence I believe, such as being able to see the curvature of the Earth, etc, but this flaw on your explanation of gravity really makes me confused as to why you believe in FE.

If there are any mathematicians or physicists on the FE side, I'd love to hear from you.

If you aren't a physics person, I'd still like to hear from you too - but please let's keep the conversation civil.