Finally… Logic is revealed behind the Golden Ratio, Pi and the Fine-structure constant.
When I started this journey down the rabbit hole 5 years ago, nothing could have prepared me for the point I have reached. I did not think for a second going into this that I would solve or understand anything of the magnitude to which I have.
It is humbling and none of it would be possible were it not for the long history of people far smarter than I. Great minds who have advanced technology and our knowledge of the natural world. I truly stand on the shoulders of giants.
- Our understanding of Pi is wrong (until now)
- Our understanding of the Golden Ratio is correct. (there is a lot more than we knew)
- There is no understanding as to why the fine-structure is the value that it is. (until now)
- We do not know why light is the speed that it is, why it reflects or refracts the way that it does through different materials and why 48 degrees is the critical angle for complete internal reflection. (until now)
Extraordinary claims require extraordinary proof. So let’s get started!
Before I can talk about Pi, lets start where I started.
The Golden ratio governs how things grow. This can be seen in fractals. This ratio is very precise. Too small and things grow too close together and die, too big and things grow too far apart and die. It is a fine balance that must occur for things to grow the way that that do. This makes sense and was confirmed by experiment long before I started my research.
The Fibonacci Sequence has long been known to have the property of converging on the Golden ratio. Thus why we see Fibonacci numbers in the number of petals a flower has or the spiral on a pine cone to name a couple of examples.
I have covered the digital roots and repeating codes in the Fibonacci Sequence in other posts. I am going to cheat a bit for now and skip over much of this. If you want to know more about that you can easily refer to earlier posts. Through experimenting and understanding these codes and rules I derived the Sypi Equation. I have also posted about this equation and will come back to it later in this post.
What is important for this post is that we highlight the significance of Golden ratio and while we know far more about it than the Fine-structure constant we still don’t understand the logic of why it is the precise value that it is. Same story for Pi.
What are these numbers? Are they God’s numbers? I will answer the first question and leave the theology to others.
Pi is not an approximation and only irrational because of our interpretation of it. We think of it mostly to do with circles but it is found all over nature in many forms. Why?
A circle is the perfect shape. This is why we see Pi in circles more than anywhere else. In order to prove why I need to talk more about the fine-structure constant. I will also have to talk about what I call the Synergy constant. This is a number that deserves a post onto itself and I have not posted about it specifically, only mentioned it as being the key number. For the purpose of this post it is noteworthy, but it is not the point of this post to focus on the Synergy constant. That is for a later post.
Lets look at some constructions of these 3 numbers plotted as angles.
Although making a web image capture the detail impossible Looking at the numbers plotted as angles is striking. Phi and Alpha are a single 5 degree unit in a 720 degree compass and the Synergy constant (Sy) is 1/3 of that unit. This seems way to simple. Lets look at the math.
This is extremely remarkable and revealing connection between the top 3 mathematical constants. 4 if you include the Synergy constant. For now, lets focus on Pi, the Fine-structure constant and the Golden ratio for now.
The Fine-structure constant and the Golden ratio are two sides of the same coin. Pi is found in the angle and amount of space between Alpha and Phi. So in the same way the Golden ratio governs how things grow, the Fine-structure constant governs how things stick together, while Pi seems to control the space between.
On it’s own I think all of this is both insanely remarkable and simple. For me It was more than enough proof that Alpha and Phi & Pi are connected but it does not answer the question of why any of these constants have precise value that they have. Why do they show up in nature and physics? Why are they so significant?
Okay, so this construction I show the relationship between Sy, Phi and Alpha as seen figure 1 when looking at them in angles. The far right construction has a total of 6 circles and 6 squares. The 6th circle/square is rotated exactly 45 degrees.
This simple image and equations are revealing. By moving the 45 degree circle-square up 1/3, plotting the Fine-structure constant again we find Pi hiding as a perfect circle unit. It’s not Pi as we know it though. It is SyPi173.
What does that even mean? If we use the standardly accepted value of Pi the 150th circle would overlap by a half onto the first circle. So what does SyPi173 mean and why does it work better than standard Pi? Lets look of the SyPi Equation.
What needs to be mentioned here here how pi falls out of a unique method to derive the Radian, thus SyPi. The Synergy constant 162 is highlighted. In this context it is a position number for the SyPi Gradient (Function). What is striking about this equation is that when the Gradient constant is 1 than SyPi1 is about 22/7. When set to 162 returns the closet value to our standard Pi.
We always call Pi an approximation because every time we find it, it seems to be a little bit different. We never find it exactly. Always an approximation and that is because, if we think of a circle as a point in space and a circle as we know it as a collection of points forming a circle. The “fine” properties of that circle like the diameter is going to shift depending on the size of the circle.
There is an oscillation which occurs with the sizing of a circle where and the points(circles in formation). Sometimes there can be 2 even points dividing the circle or 1/2 of a point, depending on the size. This is why SyPi1 = 22/7 and this is exact what we see if we draw a circle 1cm.
Getting back to the Fine-structure constant and figure 3. The reason SyPi173 works better over standard Pi is because we have been wrong about Pi. It is a function, a gradient and SyPi173 is related to the distance of space between Alpha and Phi. There is no doubt that Pi and SyPi are the same. That what I am talking about is in fact just Pi. It is important however being how embedded Pi is into society that we distinguish a difference between the two.
Don’t take my word for it, try it yourself. I set up a GeoGebra page with both the SyPi and SyFeyn formulas so that you can all test it easily yourself and explore the SyPi Gradient as well as the SyFeyn Gradient.
Simply test any value of c, keeping in mind that Synergy constant 162 gives us the closest result to the accepted value of Pi. 173 gives us a slightly lower value for Pi but a closer match to experiment for the Fine-structure constant.
If you want to join the discussion feel free to join my discord https://discord.gg/phxHNF8
You can check out more details about SyPi and the Gradient specifically in other posts.
On that note we have scratched of 3 of the 4 points/questions I made at the beginning of this post and will leave it there for now. I will cover the 4th in my next post.
UPDATE: Check out the 5 quick videos where I attempt to explain more findings. 25 mins total for all 5.
Try SyPi 2.0 here https://www.geogebra.org/m/pbp8z9ms
Stay tuned. Thank you.