Modelling dimensions

As I have said in the blog on fifth dimension, when we talk dimensions, the first thought that comes to mind is space dimensions. The x, y and z co-ordinate system. Any new dimensions identified are added to this to extend this view. But, we need to ask ourselves why should new dimensions be an extension to these three spatial dimensions? The fact that an object in space can be adequately located by specifying 3 numbers is not going to change by adding more dimensions to it. It should be noted that adding a new dimension to it indicates that we are changing the definition of space. Is this what we want? So, for example, by adding time as a dimension of space and calling it the fourth dimension implies that space itself extends into a fourth dimension. Meaning, rather than indicating a point in space by co-ordinates (x, y, z) we are saying it has to be (x, y, z, t). Thus space itself is extended to be having a time component rather than the object represented having a change.

The question we have to ask ourselves is: “Does an object occupy a location in space and time?” or “Does an object occupy a location in space and the space properties of the object change to form the time dimension?” While the distinction seems very subtle, it makes a huge difference to the model of these two scenarios. If the first is true, then we model a spacetime continuum as is done in modern science. But, if the second is true, then what emerges is not a spacetime continuum. It is an object that has a location in space with properties that can vary and hence form time. The x, y, z co-ordinates then become the properties that indicate the location in space and hence become the sub-dimensions to the dimension of space. So, an object is located as (L) – (location) where Location is a fifth dimension computation based on 3 sub-dimensions of (x, y, z) and t = (L) i.e., the state of the object is ‘t’ which is represented by the location L, where there is only space dimension.

Now, let’s look at what will happen if we add new dimensions to these systems. Let’s take the example of uncertainty as a dimension. In the first type of definition where the existing dimensions are extended to include the new dimension, it becomes space-time-uncertainty continuum. So, it becomes (x, y, z, t, p) – p = probability representing uncertainty. But, this representation become unwieldy when we start adding sub-dimensions to uncertainty. So, for example, we wanted to say that the probability of ‘p1’ varies by the entropy of the underlying network ‘e1’, momentum at the location of underlying network ‘m1’ and the path taken by underlying network path ‘pth1’, then we end up with a 7 dimension representation of (x, y, z, t, e, m, pth) and so on it goes on as we add more dimensions. And if the ancient science is to go by, there are 12 such dimensions.

But, let’s say we use the second way of viewing dimensions, where the sub-dimensions of space are not extended, but space is considered as a major dimension with (x, y, z) as minor dimensions. Here to add a new dimension of uncertainty, we would indicate a point as t = (L, p) where L = location of existence in space computed using (x, y, z), p = probability of existence computed using (e, m, pth) and t = is the current change computed. Here, both location and probabilities are the fifth dimension computation from the underlying dimensions and these computations are visible as our reality around us. Thus, the 12 dimensions which ancient science indicates can be grouped as 4 major dimensions with 3 sub-dimensions each. This is what is explained in Surya Siddanta verse:

taddvAdashasahastraNi caturyugamudAhRutam
sUryAbdasantvyayA dvitrisAgarairayutAhataiH ||15||

Translates to

That 12, 3 momentum, 4 joint mix holds indistinct pattern existing imperishable as 2 heaps of 3 collection, connected perfectly

Read more in book Surya Siddanta: Emergence of empirical reality

If we follow this from the beginning there are 4 major dimensions with 3 sub-dimensions, each of the 3 sub-dimensions having an inactive-active parts to it, similar to the positive and negative parts of the axis that we have. These 12 now has the opportunity to change in 3 directions. This now represents the system of reality that we are looking at. The next important part here is that we are looking at these 12 (4 * 3 dimensions) being smoothly connected as opposed to the abrupt digital view that we typically have. When all the changes in these 4 * 3 dimensions as they occur are remembered and analysed, then the subsequent fifth dimension parameter is computed and rendered. So, the point rather than being just t = (L, p), we have t = (L, p, h, f) where L = location, p = probability, h = heat, f = force, that are computed as the current change state t and is a transformation of the original 4 * 3 dimensions. A remembrance and rendering of multiple such transformations gives rise to the fifth dimension which is the reality that we are living in. Thus in this representation, space is one dimension, uncertainty the next dimension and so on and time rather than being a fourth dimension becomes the current computed state that which is rendered.

The advantage of this kind of representation is numerous. The object can be projected in purely the space dimension and the changes in the space dimensions studied or the object at a location can be projected on the uncertainty dimension and the changes in the uncertainty dimension studied and so on. Thus gravity or electromagnetic force etc rather than being the fifth dimension fall back to being a part of four dimensions of raw data belonging to the force dimension and play a part in the computed transformation of the state that is rendered in the fifth dimension in which we live i.e., reality.

One Comment on “Modelling dimensions

  1. Pingback: Exploring science in ancient scriptures | Research of Ancient Philosophy

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