Ontology of Saint Stuart

The premise of my idea is that motion (and the measurement of an object’s pathway or history of motion) is the fourth step in the order of spatial dimensions. Some have said that the fourth dimension is time, but time is simply one of the measurements of motion. Motion utilises space and is therefore spatial. I have explained it in my “A Response to the Poincare Conjecture” as follows: In “Motion: The Fourth Spatial Dimension” I go on to describe the motion of a cube that can be represented by the common “shadow” of the fourth dimension known as the tesseract. What I mean by “shadow” is a concept commonly used when referring to higher and lower dimensions, describing how a higher dimensional object would look on a lower dimensional plane. For instance, a sphere passing through a two-dimensional plane would look like a circle growing bigger, then smaller. Some call that the “shadow” of the three dimensional sphere on the two-dimensional plane. Interestingly, the transforming edge of that circle growing bigger then smaller on the two-dimensional plane describe the sphere’s surface in the third dimension. If we consider the fourth spatial dimension as motion, then in a world of… Read more

Here are some writings that began with a revelation I had about the fourth spatial dimension while reading “Mathematics: A Very Short Introduction” by Timothy Gowers around May of 2023. Interestingly, I have found some similar writing from 2022 at https://lovinthings.com/the-4th-dimension-is-motion/ Also, see Time itself is not the fourth dimension, but emerges due to motion along fourth space dimension from March 27, 2023.

Motion – The Fourth Spatial Dimension: Part II June 8, 2023 The common representation of a four-dimensional object is the tesseract. Continuing with the symmetrical representation of dimension from the point to the line to the square to the cube, I propose that a tesseract is a symmetrical representation of a cube’s fourth spatial dimension’s path of motion as each part of it is changed in an equal manner by change in size (growth of expansion/contraction). The paths that those parts travel are represented by the edges and faces between the parts’ original and moved states. The path of each corner is represented by a new edge, making eight new edges in addition to the twelve edges of the original and moved cubes, making a total of 32 edges. The path of each edge is represented by a new face, making twelve new faces in addition to the six faces of the original and moved cubes, making a total of 24 faces. Finally, the path of each face is represented by a new solid, making six new solids in addition to the two solids of the original and moved cubes, making a total of eight solids. For this type of… Read more

June 6, 2023 Clay Mathematics Institute, I had earlier sent a solution to the Poincaré conjecture and have since learned that it was proven by Grigori Perelman, but the prize had not been claimed. In “The Math Book” by Clifford A. Pickover, the conjecture is stated more clearly, saying: “Imagine a loop of string wrapped around an orange. In theory, we can slowly shrink the loop to a point without tearing the string or the orange, and without the string leaving the surface of the orange. However, if a string is wrapped around a doughnut through its hole, the string can’t be shrunk to a point without breaking the string or the doughnut. The surface of the orange is called ‘simply connected,’ and the doughnut surface is not. Poincaré understood that a two-dimensional spherical shell (for example, modeled by the orange surface) is simply connected, and he asked if a three-dimensional spherical shell (the set of points in four-dimensional space that are the same distance away from a single point) has the same properties.” There’s a problem with calling a sphere’s shell two-dimensional when it is not. It is the shape of the sphere, a three-dimensional object. As for the… Read more

Time – The Measure of Duration May 5, 2023 People have recently started to ask, “does time exist?” My response is “yes, of course,” as a method of measuring any moment. Duration is the history of the constantly existing moment known as the present. We cannot escape the present. We can remember the past and conceptualise the future, but we always live in what we call “now.” Time is the measurement between two instances in the ever-existing and moving present. By keeping the intervals between the instances constant we set a standard that can be used by others to synchronise to and thus document increments of time with the same measurement. Time is preferrably measured by reliable cycles, like the roation of the Earth, and its revolution around the Sun, or the duration of a force. It always exists, and the measurement of it is best with a reliable constant. Is it a new dimension? I think it is simply a way of referencing the fourth spatial dimension of motion.

Laws of Motion May 5, 2023 Newton’s laws of motion all describe its interaction with force. Here are some principles that strictly deal only with motion (movement/change) in relation to space and time. Motion is change in spatial occupancy. Objects move by change in position, rotation or formation. Motion occurs toward or anywhere in between six directions in relation to an object/observer which are the two opposing directions of the x, y and z axes:     forward and backward     left and right     up and down Motion’s possible pathways are three-dimensional. Motion’s speed is the amount of spatial change over time. Change in the speed of motion is acceleration or deceleration. Change in the direction of motion is a turn. Motionless is unchanging spatial occupancy The pathway of motion in one direction forms a line. The pathway of motion with any degree of turn in only one other direction forms a two-dimensional shape. The pathway of motion with turns on all three dimensional axes forms a three-dimensional shape.

Motion – The Fourth Spatial Dimension May 3, 2023 What are the properties of motion? It is movement in space. An object can change its position in relation to another object by a change in distance or rotation on its axis. An object can move in relation to itself through the transformation of its shape by distortion. Motion is a property of physical reality that is measured by the three lower spatial dimensions plus a property of time. How do we spatially measure motion? An object’s pathway, or history of position in space, is measurable by three dimensional qualities, but for complete accuracy it also needs time. What we see at any moment is the universe’s three-dimensional qualities, but its fourth dimensional spatial qualities are known through our memory and methods of recording, or possibly by deducing from what instances of change have already occurred. In a three-dimensional model we can document a point’s movement through a succession of x, y, z, t measurements. In relation to another object, we can say that it is a position of x, y, z to it, and if we want to track any motion between the two we take the x, y, z… Read more

A Response to the Poincare Conjecture as Described in “Mathematics: A Very Short Introduction” by Timothy Gowers April 29, 2023 “Is there some easy way of telling, by looking at a three-dimensional atlas, whether the manifold it represents is the three-dimensional surface of a four-dimensional sphere?” The fourth spatial dimension is movement. A static three-dimensional model of the solar system is a three-dimensional “surface” of its fourth-dimensional history of movement and change. The point is where we start. The line is the measurement between two points, or we may say it is the point “stretched” into the next dimension. The square is the line “stretched” into the next dimension. It doesn’t have to be a square to be two-dimensional, but just needs to have a secondary property (width and length) that is measured spatially. Again, the cube is the square “stretched” into the next dimension. How, then, is the cube “stretched” into the next dimension? In all other cases we see the point, the line and the square retaining their properties, yet being “pulled” or “stretched” into a direction that its current form has no existence of. How do we do that with a cube? Imagine, if like the point,… Read more