Using the Point-Line-Plane Postulate in Euclidean Geometry, I have developed twelve dimensions in physical reality and an additional twelve dimensions in non-physical reality. The two types of dimensionality are symmetrical and share the last three dimensions. These last three dimensions describe how both types of dimensionality interact with each other. I call them “interaction variables.” They are what give meaning and purpose to our combined dimensionality universe.  

My dimensionality construct seems to be fairly compatible with string theory.

When adding dimensions, each dimension above the previous one is the next logical extension of the system. It is easier to visualize using points, lines, planes, and volumes, and this generally accepted method is derived from the Point-Line-Plane Postulate in Euclidean Geometry. Each additional dimension is 90 degrees from the previous one.  

Now let us work out how this process might describe the dimensions of physical existence. I readily admit that this is pure speculation on my part, and there are many alternative explanations out there. However, to the best of my knowledge, this is by far the most logical, complete, and mathematically consistent representation available. Its logic is inescapable, and its implications are compelling. So here it goes:  

As we stated before, the first three dimensions define a space or volume. They are the dimensions you should be familiar with (length, width, and height, or for ball shapes, a distance and two degrees similar to latitude and longitude).  

Dimension 0 – No variables. A point with no size or direction.  This could be also considered a singularity.

Dimension 1 – New variable called Length.  

A line consisting of a series of points stretching in both directions without end.  

Dimension 2 – New variable called Width.  

Another line at right angles to the first. Together, they form a plane that stretches off in two directions to infinity.  

Dimension 3 – New variable called Height (or Depth).  

Yet another line at right angles to the plane defined in Dimension 2. With Dimension 3, we now describe a static volume or space that stretches out in all three directions to infinity.  

In traditional thinking, there are only three spatial dimensions, but in string theory, it is believed there are additional physical dimensions before you get to time. The six additional dimensions are not perceivable in our macroscopic perception of reality but are supposedly wrapped up in what is called a “Calabi-Yau manifold” that is too small to see. Additionally, another theorist proposes that space itself is quantized, leading to three additional spatial dimensions, which then define movement in the “space” outside the quantized spatial dimensions. Within our discussion, we could also see these six dimensions as defining the starting conditions we explore later: the starting conditions for physical existence (three dimensions) and the starting conditions for combined dimensional reality (three dimensions). With these extra dimensions, we arrive at nine dimensions to define physical “space.” Anyway, let us continue defining the dimensions.  

For Dimensions 4–6, we will define a “time space.”  

Dimension 4 – A variable we commonly think of as Time.  

Usually thought of as the fourth dimension, with the six Calabi Yau dimensions added, it becomes the tenth dimension. More accurately, this dimension should be thought of as a process that defines the possible change in state of a volume or space. Others like to think of this dimension as duration. Think of the volume or space defined in Dimension 3 as a point, and Dimension 4 as a line that connects an infinite series of Dimension 3 points, stretching “forwards” and “backwards” in “time” (time and anti-time) to infinity. Each Dimension 3 “point” represents a static “moment” or “fixed state” in Dimension 4 “time.” Others might call it “the eternal NOW.” The change in states of the Dimension 3 points gives rise to the concept we call time. It also brings up the possibility that time itself might be quantized just like energy. And indeed Plank time contains the plank constant in its numerator as well, hinting that this is indeed the case.

Dimension 5 – A new variable best thought of as Choice and Chance.  

Without Dimension 5, we would live in a physical universe that was deterministic and without free will. All outcomes would be fixed without variability, as defined by a straight line in Dimension 5. We can also think of it as a process with more than one possible outcome based on probabilities (mathematically speaking). With free will, we are able to change our path or direction in life independent of the more fixed and predictable processes that would be associated with a straight line in Dimension 5. Think of Dimension 5 as a plane that represents all the possible choices or directions of change for each “point” in Dimension 4. Thus, we create a zigzagging path or timeline that represents our life experience or the “history” of an object (including the universe itself) based on initial conditions (our starting point) and both deterministic (fixed processes) and indeterministic (free will and chance) variables. This holds true for us as individuals, for the universe as a whole, and for everything in between.  

Dimension 6 – Defines a point outside our timeline.  

This point may represent a place in an alternate timeline had we made other choices. As we move within Dimension 5, we are influenced by chance and choice. As we move from one “moment” to the next in Dimension 5, a “direction” is taken. At that moment, all the other possible directions we could have taken become unavailable to us (no longer part of our timeline). The “directions” we didn’t take can then be thought of as being rotated 90 degrees to create the next degree of freedom, which represents Dimension 6. Dimensions 4-6 may therefore represent the space of all possible timelines (a probability space in mathematical terms) that could have occurred for one set of initial conditions.  

Dimension 7 – Now we add in the possibility of different initial conditions.  

Dimension 6 becomes a point with one set of starting conditions. Now think of a line representing all the possible (infinite in both directions) names for initial condition variables in Dimension 7.  

Dimension 8 – Values for Each Variable. There can be an infinite number of possible values for each initial condition variable. So, let’s add another line perpendicular to the first that represents all the possible (again infinite in both directions—positive and negative– values for each variable. Dimensions 7 and 8 then represent an infinite plane of the names and magnitudes of all possible variables for starting conditions.  

Dimension 9 – Direction for Variables That Have One.  

Now, some starting condition variables may have a direction, while others may not. For Dimension 9, let’s add another dimension to represent the “direction” of the variable. In physics, a direction is usually associated with a force, so it is necessary to include a direction variable to adequately represent the possibility of force acting on the system as an initial condition. To define a force in a physical space, we typically need more than one variable to specify its “direction.”  

However, for our purposes, let’s simplify and consider direction as a single variable (a variable with variables). Dimensions 7- 9 can, therefore, be thought of as representing the space of all the infinite possible starting conditions and all the resultant possible timelines of a purely physical existence. Any additional dimensions imply an existence beyond the purely physical. Let us continue with our point-line-plane postulate to see what we can derive.  

Dimension 10 – Represents the “names” for all the “interaction variables.”  

In Dimension 10, we represent Dimension 9 as a point. But what could another point represent since we’ve accounted for all the possible variables in physical existence (at least as far as we’ve explored)? That’s just it—so far, we’ve only considered the physical aspect of existence. What about the possibility of non-physical forms of existence with their own dimensionality? Or even a mix where existence contains both physical and non-physical aspects? What might non-physical existence consist of? Possibilities that come to my mind include thoughts, ideas, attitudes, and possibly emotions—what could be considered our inner life. We will explore the dimensionality of nonphysical existence later.  

For now, what could Dimension 10 represent? Staying consistent with our point-line-plane analogy, let Dimension 9 be a point in Dimension 10, representing the space of all purely physical aspects of reality. Then, let another point in Dimension 10 represent the space of all purely non-physical aspects of reality. A finite but unbounded line connecting these two points could represent the infinite possible combinations between the two extremes of dimensionality and the resultant combined dimensionality. Dimension 10 might then be considered a line representing all the possible “names” for an “interaction variable” that defines how the two extremes of dimensionality might interact. We might think of an interaction variable as related to meaning or purpose, and the line as representing the “name” of the interaction. For instance, one variable might represent the interaction of an emotion with physicality. The “rules” for that variable might state that the degree of the emotion’s effect on physicality depends on its intensity and duration, much as emotions affect our attitudes on a non-physical level of existence, and emotions also can influence our body chemistry on the physical level of existence.

Dimension 11 – All the Possible Values of an “Interaction Variable  

Dimension 11 can be thought of as a line representing an infinite number of possible values for an interaction variable. Thus, Dimension 11 represents the plane of all possible interaction variables and their effective “intensity” of action.  

Dimension 12 – Defines the “direction” of the interaction variable. 

Imagine another line representing the “direction” of the interaction variable. This could represent the net effect that variable would have on both physical and non-physical dimensionality (similar to a force in physical reality). With this, we have defined a space representing all possible dimensional interactions between physicality and non-physicality. This space represents the initial conditions for all possible “universes” (physical, non-physical, and mixed) and all their possible timelines. Interestingly, this “24-dimensional” universe has two “times”: one for physical dimensionality and another for non-physical dimensionality.  This description of physical dimensionality comes from my book “Life in 24 Dimensions” which is available on Amazon.