Fractal Time: Absolute or Relative?

This is a discussion entry based on my fractal discoveries.

 I have since published in 2023: 

1. The fractal with no observation demonstrates no time. 
2. The fractal with observation demonstrates the passing of time, not absolute time, but relative time.

1. No time: - A fractal in an isolated superposition demonstrates no time.

It is only once a reference point is provided that an observation is made - that time is time.
When we have a reference point on the fractal, we 'know' our position. The modern clock itself may be a reference point—without it, we could be anywhere or at any time. Without it, we are lost in chaos. The importance of a reference point in time is just as important as any other reference—it is to 'know'.
Absolute time:
In this blog, I have recently explored two critical areas of science in terms of the fractal: the expanding fractal (universe) and the de Broglie wave function. In both of these entries, I had to act in some kind of motion, classical physics, or mathematics. Both demanded some kind of understanding of time; both showed that time is subjective and not fundamental. Time is external or exogenous to the fractal. See the appendix for work, or see my early entries.

Relative time

Though there may be no absolute time, relative time may be demonstrated - as (from one standpoint, iteration 0on the Koch snowflake fractal) future iteration can be viewed. From this standpoint, 6 iterations can be viewed into the future, but not more. One can look back and forward by zooming into the fractal, so there is a notion of before and after. But where in time these observations are made, in an absolute sense, is impossible to determine.
Time is one thing relative to another.



The fractality of time
Interestingly, time itself is also fractal in that it can be broken into ever smaller fractions or scales: the universe's story may be described in the same amount of time it takes to describe any other story. All descriptions of timeshare basic principles: there is a beginning, and there is an end, and details in between. 

Appendix:

From the Expanding Universe entry:
While producing my expanding fractal entry and the wave equations of the fractal, I assumed time was the iteration number - the iteration rate. But is it really? As pointed out earlier, there is no reference to time on a fractal, and using this iteration rate as the nearest thing is problematic because it is arbitrary or subjective.

Workings from de Broglie entry:

Wave velocity is equal to frequency(f) multiplied by the wavelength (λ) 

v = fλ

f: is equal to 1 divided by the Period(T)  

f=1/T

T: equals the time a wave takes to produce one cycle.

Time:

λ: is equal to the distance* between the crest to crest or trough to trough

*It is here, with the fractal, that two issues of position (time and distance) present themselves, or as it would be, don't present themselves. The calculation (in a classical sense) is impossible without time, mass, and distance. In terms of the fractal, their values are not apparent or obvious, and any attempt to assign them to them is subjective or arbitrary. It may be concluded that a fractal in isolation has no concept of time nor distance - something I shall address in a separate entry due to this interesting characteristic and to the occurrence of this problem.

The one (accurate) reference to the time that the fractal may offer may be found in the iteration: the change from one iteration to another. Again, these are concepts I aim to develop, but for now:

It shall be assumed that T = to the iteration number (i).

T = (i)

So, T (the period from crest to crest in the Koch snowflake wavelength) is equal to 6 iterations: 

T = 6

f = 1/6

To calculate the velocity, we need λ, the wavelength, and to calculate this, we need a distance.

Distance: As with time, I shall address the fractal issues of distance in a separate entry due to this exciting characteristic and the occurrence of this problem.

As I have pointed out, the fractal shows no concept of distance, so what should we do? Should we leave it?

I am currently working on ways to measure this distance, but until then I'll:

Assume that the wavelength behaves as a sinusoid and that the frequency and the wavelength become exponentially smaller.