### Gravity as the second time dimension

Posted:

**Mon Sep 03, 2018 12:15 am**I don't know if this is already established science, but I've been trying to conceptualise the notion that gravity is warped spacetime in my own way - as follows:

I started by considering how a 2D graph of space (y axis) against time (x axis) behaves when bent around a sphere - so that the y axis goes up and around the sphere vertically, and the x axis wraps around the middle of the sphere horizontally. If you were to draw a horizontal line anywhere along y axis (y=n) when the graph is in 2D, that line would get curved when bent around a 3D sphere to eventually meet the x axis in just the same way that the y axis does - like a falling motion. This represents the rate of decrease of distance between two points in space (acceleration) relative to one another simply by conceiving of time in an extra dimension.

Of course, this can be represented on a 3D graph just as easily, if not more easily, with a curved line that looks horizontal when viewed straight along the z axis (a second time axis) at the y (spatial) coordinate where it starts. As you rotate the view 90 degrees to look down the y axis, the curve becomes more and more pronounced.

I've since been pondering the famous F=ma equation, and rearranging it to be in terms of time with two dimensions - more specifically rate of change of time: 1/time^2 or t^-2. The "a" in the equation is of course "m/s/s" (metres per second squared i.e. acceleration, "a"), so if you divide both sides of the equation by a product of mass (m) and distance (d), you get t^-2 = F/md

This equation elucidates the description of force (F) as proportional to the rate of change in time i.e. the rate at which time is bent along a second dimension. Interestingly it also shows how the degree to which time is curved is inversely proportional to distance, which is quite intuitive when you consider that when time is curved around a second dimension (something is accelerated due to a force), the vector distance between the start point and the end point is reduced. What is also interesting is how it shows that mass is inversely proportional to time curvature, which to me perhaps suggests that mass is the result of a lack of curvature (in contact with it you don't accelerate), yet the force around mass (gravitational field) that isn't the mass itself is where time is being curved around a second dimension and acceleration does occur. Most interestingly, I think, is that this conception does away with the mystery of inertia (see Newton's laws of motion).

If there are any scientists (or otherwise I suppose) who have any input here, I'm interested in what feedback you have to offer.

I started by considering how a 2D graph of space (y axis) against time (x axis) behaves when bent around a sphere - so that the y axis goes up and around the sphere vertically, and the x axis wraps around the middle of the sphere horizontally. If you were to draw a horizontal line anywhere along y axis (y=n) when the graph is in 2D, that line would get curved when bent around a 3D sphere to eventually meet the x axis in just the same way that the y axis does - like a falling motion. This represents the rate of decrease of distance between two points in space (acceleration) relative to one another simply by conceiving of time in an extra dimension.

Of course, this can be represented on a 3D graph just as easily, if not more easily, with a curved line that looks horizontal when viewed straight along the z axis (a second time axis) at the y (spatial) coordinate where it starts. As you rotate the view 90 degrees to look down the y axis, the curve becomes more and more pronounced.

I've since been pondering the famous F=ma equation, and rearranging it to be in terms of time with two dimensions - more specifically rate of change of time: 1/time^2 or t^-2. The "a" in the equation is of course "m/s/s" (metres per second squared i.e. acceleration, "a"), so if you divide both sides of the equation by a product of mass (m) and distance (d), you get t^-2 = F/md

This equation elucidates the description of force (F) as proportional to the rate of change in time i.e. the rate at which time is bent along a second dimension. Interestingly it also shows how the degree to which time is curved is inversely proportional to distance, which is quite intuitive when you consider that when time is curved around a second dimension (something is accelerated due to a force), the vector distance between the start point and the end point is reduced. What is also interesting is how it shows that mass is inversely proportional to time curvature, which to me perhaps suggests that mass is the result of a lack of curvature (in contact with it you don't accelerate), yet the force around mass (gravitational field) that isn't the mass itself is where time is being curved around a second dimension and acceleration does occur. Most interestingly, I think, is that this conception does away with the mystery of inertia (see Newton's laws of motion).

If there are any scientists (or otherwise I suppose) who have any input here, I'm interested in what feedback you have to offer.