Update for explanation:

**The Relativity Model**

The Relativity model is a flat earth model that states the Earth is a flat plane in non-euclidean aether (space-time continuum) in relative motion with other celestial bodies, including the sun, moon, planets, and stars. This is a combination of Einstein’s General Relativity and The Ferrari Effect. This is one of the only flat earth models that don’t rely on the conspiracy (weak or strong) and is unique in that it is based on Relativity (unlike many other typical flat earth models).

Link I recommend for some other explanation of it:

https://theflatearthsociety.org/home/index.php/blog/einsteins-relativity-proves-earth-flatThe Earth is a flat plane including the sun, moon, planets, and stars. The Earth is no more unique in terms of its physical geometry than the other celestial bodies. The universe consists of aether (basically space-time), which is bent around any large mass. Think of any mass as ‘displacing’ the aether, a large mass will bend aether around it. All large masses will bend aether around them in a similar way, following that distortion of otherwise “flat” space. This means that the Earth bends aether around it, including the moon, sun, planets, and distant stars.

Aether is a term that represents the fabric of the 4-dimensional space-time continuum, in which times and distances between event pairs vary by the inertial frame of reference in which they are determined, while any event pair remains independent of the inertial frame of reference in which they are recorded. Aether can bend due to energy/mass, which is basically described in Einstein’s field equations, basically put out as:

Gμν=8πTμν

Where Gμν is the Einstein Tensor (with the geometry of space-time), and Tμν is the stress-energy tensor, which describes the movement of matter and energy through aether.

Please note that this is how aether is defined into this specific flat earth model, and is not to be taken into the context of other models.

Now, it is important to define “flat plane” in this model because this model does fall under the category of being a flat earth model. Flat in this case, does not mean two-dimensional, anyone could agree that the existence of mountains is not something that defines the geometry of the Earth when we are talking “flat” or “round” Earth. Rather, it is something based on space and how it relates to the Earth. A flat plane would be defined by the ability to traverse it in a straight line between two spatial coordinates. A “straight line” would be a line in a constant direction in three dimensional space, or any tangent vector on the surface always touching across it would be a flat surface and therefore a flat earth. So, if the Earth is able to be traversed in a straight line parallel to the surface (constant distance from it in traversal), it follows under the definition of a flat plane. Due to the fact that space is bent around the Earth, a straight line traversing the Earth in bent space will appear to curve relative to an observer in flat space around it, while maintaining a straight line since space curves independent of this line. This means that it maintains itself as straight but in simplistic terms, ‘space curves instead of the line’. With this, we start jumping into Frames of reference, which is an important concept in relativity. A great analogy is an elevator in space accelerating in a direction at 9.81 m/s/s (accelerating by going 9.8 meters per second faster for every second that goes by), which is indistinguishable from standing on Earth.

We can deduce that in the Earth’s non-inertial reference frame, the bending of space makes travelling through it as if in a straight line through flat space, but the space distortion around it changes its direction from a frame of reference independent of this bent space, so, we can define the path of an object through this linear direction as straight, and therefore flat. Flat can also and accurately be defined as the straight path of an object according to Newton's first law, which would be considered a satellite. Such a path defined as parallel to a straight path through space defines the path as flat, and therefore the Earth as flat. If we were to leave the Earth and look back at it, it would indeed appear as a curved spheroid, this is because the aether bends around it and therefore it becomes apparent when you can see across it, but from this appearance, we certainly can’t distinguish whether it is flat or literally round as we cannot perceive how space is being affected from your standpoint away from Earth (The Ferrari Effect). The same applies to the sun, moon, and planets, they are perceived as spheroids from our standpoint on Earth, but you couldn’t leap to the conclusion that it is surrounded by flat space from visual appearance. Due to the fact that aether bends due to mass like objects displace mediums, the Earth is flat and so are other masses throughout the universe.

What about the movement of the celestial bodies like the sun, moon, and stars? Is it geocentric or heliocentric? Such a concept of ‘Heliocentrism’ or ‘Geocentrism’ is non-existent in our universe since all motion is relative to other frames, so rather than saying “the Earth rotates around the sun” or “the sun rotates around the stationary earth”, it is most accurate to describe it as “the Earth and sun are in motion relative to the other”. This is most accurately described as a relative acentric description; I will call it ‘relacentric’. Relacentric as a new term, must be defined, so I define it as follows:

The barycenter rotation point between two objects is relative to each objects frame of reference, having each of the frames of reference as valid centers.

This challenges the common assumption of absolute motion; people tend to speak of the solar system and moving objects in terms of objective motion and objectively stationary objects. With this, they may confine all motion in terms of the solar system since other motion is irrelevant and proclaim we live in a heliocentric system, however, in absolute terms, this is incorrect, and it is simply used as a model of our solar system to explain movements for simplification and explanation in terms of basic laws and theories. A “Frame of reference” is an abstract coordinate system that has fixed physical reference points that locate and orient the coordinate system and measurements. We can use numerous reference frames for distinctive purposes, but there is no ‘correct’ one, to say so is nonsense, since motion is not absolute. If you were to be in a universe with only you as the frame of reference and no other, then you wouldn’t be able to derive your state of motion. From this, we conclude that the Earth is in motion relative to other distinct reference frames following geodesics in curved aether. There is no center of rotation in any solar system or absolute orbit motion but rather the reference frame we define that is in the frames in relative movements serves as its own distinct center in which to observe and measure.

**The Pillars of this Model**

This model has a few main supports that keep it standing; crippling any of the supports will damage it.

The Pillars:

1. Theory of General Relativity

2. Aether- 4D space-time continuum (not the luminiferous aether medium of the late 19th century, but rather a term for space-time, which is influenced by mass)

3. The Ferrari Effect

The Ferrari Effect is something not so well known outside of the Flat Earth Society. The Ferrari Effect is basically the effect of viewing the Earth and it appearing round (spherical) due to curved space. The appearance is actually an illusion due to how we interpret space in our minds, when viewing space as curved, we can’t distinguish it from a round Earth at a glance, just like the accelerating elevator and standing on Earth with the gravity to give it that acceleration. The Earth’s geometry following the curved space is what makes it flat, so we can essentially say that areas of high density in molecular clouds collapsing into stars is them “flattening out”.

I defined flat Earth as the Earth being able to traverse it in a three dimensional straight line. Just like the path of an object in accordance with Newton's first law at a specific velocity.

This, on earth, would be defined as drawing a straight line from the apex of a parabolic path of a ball, forming a tangent. If it could be demonstrated that Earth can be traversed between two spatial coordinates in a straight path across, it satisfies a flat Earth.

Now, how would we demonstrate this? We can determine the nature of space's relation to Earth.

In the early 20th century, Albert Einstein proposed his theory of general relativity where space is non Euclidean and is the equivalent of acceleration, which can be standing on Earth or an elevator accelerating at 9.81 m/s/s. This means acceleration would be indistinguishable from a gravitational field. Space curves and therefore affects the straight path of any object. If this is the case, and space bends around any object, as long as the acceleration across it is relatively constant like is the case on Earth. This is because the change in bend of space gives the acceleration and keeps things on Earth. So, from this, we can deduce that a straight line follows the bend if space, giving a flat Earth.

Now, from an outer observer, it appears as if a straight line is curved since it follows the bend in space, but the observer following the bend is following a straight line while space is bending their path relative to outer flat space.

This is the Ferrari Effect, brought up by philosopher and free thinker Leo Ferrari.

Has it been verified as an accurate model?

Yes, it has. By observing distant objects in the universe, the path of light, and the deflection of radio waves near large masses.

It has been experimentally verified and observed that the path of light through space deflects relative to us as predicted by the curvature of space-time.

Here's a link with basic description and sources:

http://w.astro.berkeley.edu/~jcohn/lens.htmlAs you can see in the diagram presented, the straight path of light follows the curvature of space, space defines the path of an object and so a straight line in curved space implies flatness.

Now what is the angle of deflection as described mathematically with this phenomena and light?

The angle of deflection = 4GM/rc^2

Where G is the gravitational constant, M is the mass, r is the distance from the mass, and c is the speed of light in a vacuum.

According to a study done with telescopes observing radio waves bear the sun, the deflection of radio waves by the sun precisely, and it confirmed the general relativity prediction of bent space time to a high degree (within 0.03 %), here it is as published in the Astrophysical journal:https://arxiv.org/abs/0904.3992

This lensing effect has been observed with distant galaxies with long red shifts and the sun. Another identification published:https://arxiv.org/abs/1405.3661

This effect has been observed with solar eclipses and visible stars bear the sun, verifying the predictions of general relativity.www.google.com/amp/s/www.wired.com/2009/05/dayintech_0529/amp/

Also, time is affected too by this curvature, which makes it so atomic clocks on Earth run slightly slower than farther away from it, the Hafelle-Keating experiment confirmed this by comparing clocks of planes flying east and west and a stationary clock on the Earth's surface and found an inconsistency. These clocks were cesium beam atomic clocks. Here's where you can obtain the published paper on it:http://science.sciencemag.org/content/177/4044/166

This is a confirmation of general relativity and lacks an explanation by Newtonian gravitation (Basic Round Earth explanation with Minkowski space to explain the Earth's geometry).

If as general relativity claims, acceleration on Earth (accelerating free fall) is the result of the bending of space-time, then the curve in time and space accelerates any object to it. Think of a stationary object moving through time even though it is stationary in three dimensional space. Time is curved and so its path is curved. This curve is like a parabola on a graph. So, this object accelerates towards the Earth. It does this across Earth almost consistently, this consistent curve in space-time has a straight line between spatial coordinates travel a straight path through space while appearing to travel a non-Euclidean path from an independent frame of reference.

**The Ferrari Effect**

The Ferrari Effect is the effect of visualizing a flat plane as being a spheroid due to the curvature of aether (space-time dimensions). This was a prediction made by the philosopher Leo Ferrari that is currently a major concept in the Davis Relativity Model. Despite common conceptions, the appearance of a spherical Earth is not what defined a flat vs round surface geometry. A “flat earth” is defined by its surface geometry being so that it is traversable in a straight line as defined by the direction of linear motion according to Newton’s first law. With non-Euclidean space, a flat earth appears indistinguishable from a spheroid earth from an external point of view (just like acceleration and gravitation), what separates them is the geometry of space and its relation to Earth’s surface. Since space defines direction and geometry, the deformation of space relative to homogenous space has an equivalent definition of the geometry of a mass; it is just defined in relation to how space is changing or non-homogenous. This is based on general relativity and its conception of space.

The Ferrari Effect deals with the visual appearance of Earth, and its main implications include the possibility of orbit (considering the non-Euclidean nature of space), the potential accuracy space travel as presented by space agencies/NASA today, and an explanation of apparent curvature at high altitudes. The Ferrari Effect allows for the consistency between flat earth and modern space travel, since the apparent spheroid shape of the Earth from space travel footage and photos. Typical Flat Earth models and/or representations include the assumption that space travel is faked as a conspiracy, this is largely because of the inconsistency of the claims and apparent documentation of space travel and flat earth models and theories.

The Ferrari Effect was verified by observations and experimentation of space travel and curved aether.

**Why it should be more considered in mainstream FE**

As anyone with a fair understanding in “Flat Earth 101” (the basics of flat earth views and models) knows, this specific model is very unique and significantly off of the mainstream. This model differs in numerous ways to the classical mainstream ones:

1. There is no accurate map projection that conveys the surface, since space is non-Euclidean in this model and therefore can’t be mapped on 2D to complete scale.

2. There is no surrounding ice wall; this model is bi-polar (two poles, north and south), allowing north-south circumnavigation.

3. There is no ‘edge’ or surrounding worlds beyond; this model has the Earth contained in non-Euclidean space, so the curved space meets around it.

4. The celestial bodies are not and need not be close to Earth, space curves away relative to the outer bodies surrounding straight across flat space.

5. Outer space as conceived by modern society does exist, in contrast to the mainstream FE view that the celestial bodies are in a near, small, and confined space above us.

6. Satellites, space travel, Apollo moon landings, astronauts, and modern space exploration are all consistent with this model, as opposed to the mainstream FE concept of “The Conspiracy” with the faking of space travel.

7. This FE model is most consistent with modern mainstream science and with general relativity.

Why should planarists consider this? It appeals to skeptical globe earth advocates since it describes and works in terms of relativity. Any skeptic approaching flat earth will have many objections, questions, and potential ridiculing to go through. This will give the skeptic a reason to rethink how they originally thought this debate really means. Not only that, it is a model that can be held up to scrutiny, any flat earth model with that characteristic deserves to be considered. It also gets us to ask how we should draw the line between flat vs round earth. I consider this to be among the most advanced FE models today.