Dark Energy
I am not so sure about disproving you, for you might be on to something. Maybe the energy, which can be mathematically broken up into components of momentum, and Planck's constant, can be shown to be an intrinsic part of a vacuum based on a mathematical law of consistency. Consider a space that is infinitely dividable, e.i. a perfect vacuum. For simplicity's sake, let us suppose, for a moment, that we are speaking of an infinite Euclidean 3-space that forms a sphere. One can construct a lattice out of an infinite number of parallel x, y, and z axis through every possible orientation of the sphere. Geometrically, this creates a multi-sphere where the intersection of all points in the lattice form centers of an infinite number of spheres formed by the lattice structure. There are an infinite number of infinitely close parallel lines in the lattice that represent a slopes of a given infinite number of spheres. Now we assume that the parallel lines extend to both negative infinity, and positive infinity. This forms an infinite universe that is similar to perceived universe of the late 1800's(Of course we know this does not describe our universe, but the mathematical conclusion I will be representing here applies both to a finite Universe of curve space, as well as to a Euclidean universe. So it doesn't matter, in this case.).
In this universe, there are an infinite number of parallel spheres along all the given axis, which form a cube like structure. Let the three dimensions composing a sphere Q be represented by x, y and z, and the dimensions composing a sphere R be X, Y, and Z. You can draw a straight ray from the center of a given sphere Q through the North pole of another sphere R(assume that the x line that runs through the center of sphere R also runs through the center of sphere Q, so that spheres R and Q are parallel.) The angle between this ray and the x-axis that runs through the center of spheres Q and R is between 0 degrees and 90 degrees depending on how far sphere R is away from sphere Q along the x axis. The actual equation that describes the distance from the North Pole of sphere is
sec^2(theta) d(theta)dt. Where (theta) is the angle between the ray that runs from the center of sphere Q through the North Pole of sphere R and the y-axis of sphere Q. Now suppose that theta approaches 90 degrees, then the distance between the North Poles of both spheres along the x' axis approaches infinity. Now, suppose that the angle theta continues to rotate on through 180 degrees, then the distance between both spheres along x' goes to zero, and yet x' remains positive on both sides of y because second is squared. If one looks at a graph representing this based on the equation, one will quickly ascertain that the graph of the X, Y, and Z axis of sphere R is reflected when theta is between 90 degrees, and 180 degrees, so that although sphere R's position along the x' axis continues to remain positive, it is traveling, in the opposite direction toward sphere Q. So we know that the distance from the North Pole of sphere Q and R, is always on the positive side of the the x' axis. Now suppose that sphere Q, and R remain separated from each other along the x' axis by an infinite distance, The angle between the sphere Q and Sphere R is 90 degrees, while the angle between sphere R and Q is 270 degrees, or 90 degrees counter-rotation. Let both spheres be rotating clock-wise on their z axes at the same angular velocity. One can draw an infinite number of rays from Q's center to every point on the x' axis from 0 to positive infinity which corresponds all possible angles of rotation of sphere Q can take between 0 and 90 degrees. Likewise One can draw an infinite number of rays from R's center to every point on the x' axis from positive infinity to a finite number which corresponds all possible angles of counter-rotation that sphere R can take between 360 degrees and 270 degrees, or between 0 and 90 degrees counter-rotation. Now the angle between sphere R's Y axis, and all points on the x' axis that are within a finite distance of sphere Q, is 270degree, or 90 degrees counter rotation. Inversely, the angle between sphere Q's y axis, and all points on the x' axis that are within a finite distance of sphere R, is 90 degrees, or 90 degrees rotation. Therefore, as sphere Q rotates from 0 to 91 degrees, a point p on x' goes from zero through positive infinity, and arrives at a coordinate that is within a finite distance of sphere R. But if point p is within a finite distance of sphere R, then the counter-angle between sphere R's Y axis and point p on x' must no longer be 90 degrees, but must be less then 90 degrees counter rotation. If sphere R is rigid, then that means that sphere R must have rotated by some given amount N. Well if sphere R rotated by a given amount N, then some point q that was some finite distance L away from sphere R on x' goes from L through positive infinity, and arrives at a coordinate that is within a finite distance of sphere Q. But if point q is within a finite distance of sphere Q, then the angle between sphere Q's y-axis and point q on x' must no longer be 90 degrees, but must be less then 90 degrees rotation. If sphere Q is rigid, then that means that sphere Q must have rotated by some given amount M. So the rotation of spheres Q and R perpetuate each other if spheres Q and R exist within an infinitely dividable space, or a continuum. Furthermore, spheres Q and R must rotate, according to the math, if any finite angle can be measured on either spheres. This could account for the dynamics a vacuum. If one works out the equations, one will find that either clockwise or counterclockwise of the spheres will account for the position p and q on the x' axis. Therefore the change in position of p, and q with respect to x' is a scalar, the sum of two opposite possible rotations which reduces the change of p and q with respect to x' to a vibration. Let p be a given particle m1, and E the kinetic energy of particle m1 in one direction of particle m1's vibration. Then the energy of in 1 direction would be m1 would 1/2mv where m is the momentum of m1, and v is the velocity of particle m1 in one direction of it's vibration. Suppose that the motion of m1 creates a ripple within the fabric of the continuum, then this ripple will expand out at right angles to the motion of m1, and will have the total energy equal to that of m1 in one direction of m1's vibration, and is = to 1/2mv. In quantum physics, let m be Planck's constant h existing as the result of this mathematics describing the intrinsic dynamics of a vacuum. A similar argument can be formulated for non-Euclidean geometry, accept, in non-Euclidean geometry, spheres Q and R don't have to be an infinite distance from each other for there angles with respect to x' to be zero! This means that the dynamics of a vacuum of curved space can be mutually perpetuated by spheres within finite distances of each other.
What do you think? Does this prove or disprove your hypothesis?
Regards,
Edwin