Numerology | the Fibonacci sequence, Golden Ratio & Fractals

Summary

This script explores the profound connection between mathematics and the natural world, questioning whether our pattern recognition is an illusion or a sign of a deeper mathematical order. It delves into the Fibonacci sequence, the Golden Ratio, and fractals, showing their prevalence in nature and the human body. The video ponders the origins of math, with references to Pythagoras and the 'music of the spheres,' suggesting an inherent mathematical framework in the universe, and raises the question of whether math is invented or discovered.

Takeaways

• 🌌 The human mind is adept at recognizing patterns, which may be a sign of a deeper mathematical order in the universe.
• 🔍 The Big Bang marks the beginning of the universe, and questions about what caused it or happened before it are considered meaningless because it's the start of time itself.
• 📏 Physicist Brian Greene uses the analogy of the North Pole to explain why 'before the Big Bang' is an undefined concept.
• 🔢 Numerology offers a perspective on the universe's beginning, using a timeline where 1 marks the start and 0 the moment before, leading to the Fibonacci sequence.
• 🌳 The Fibonacci sequence appears frequently in nature, from the arrangement of seeds in plants to the number of petals on flowers.
• 📐 The Golden Ratio, approximately 1.618, is derived from the Fibonacci sequence and is found in various natural phenomena, including the spirals of shells, galaxies, and even the human body.
• 🎨 Leonardo da Vinci's 'Vitruvian Man' illustrates the prevalence of the Golden Ratio in the proportions of the human body.
• 🌪 Fractals, as introduced by Benoit Mandelbrot, are self-similar patterns that repeat infinitely and are evident in natural phenomena like lightning and coastlines.
• 💡 The connection between numbers and the physical world suggests an inherent mathematical order, raising the question of whether math is invented or discovered.
• 🤔 Albert Einstein pondered the effectiveness of mathematics in explaining the universe, hinting at a universal and consistent mathematical framework.
• 🎶 Pythagoras, considered the father of numerology, believed that 'everything is number,' and that the universe operates with mathematical harmony, known as 'musica universalis' or 'music of the spheres'.

Q & A

What is the significance of pattern recognition in the context of the universe's structure?

Pattern recognition is significant as it may reveal either our mind's tendency to find order in randomness or actual underlying mathematical orders within the universe, suggesting a deeper, inherent structure to reality.

What is the 'Big Bang' and why is the question 'What caused the Big Bang?' considered meaningless by some scientists?

The 'Big Bang' is the event believed to have marked the beginning of the Universe about 13.8 billion years ago. The question is considered meaningless because it implies a moment before time itself began, which is a concept that doesn't exist.

What is the Fibonacci sequence and why is it prevalent in nature?

The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, starting from 0 and 1. It is prevalent in nature because it represents a mathematical pattern found in the growth of many plants, flowers, and even in the arrangement of seeds.

What is the Golden Ratio and how is it related to the Fibonacci sequence?

The Golden Ratio, often denoted by the Greek letter PHI, is a number found by dividing a Fibonacci number by the one preceding it in the sequence, which results in an infinite, non-repeating decimal. It is related to the Fibonacci sequence as it frequently appears in natural patterns and structures.

How does the Golden Ratio manifest in the human body?

The Golden Ratio manifests in the human body through proportions such as the length of the forearm to the hand, and the length of the upper arm to the forearm, which are believed to exhibit aesthetically pleasing and efficient proportions.

What is a fractal and how are they related to Benoit Mandelbrot's work?

A fractal is a never-ending pattern that repeats itself at different scales. Benoit Mandelbrot's work introduced the concept of fractals to the scientific community, showing how simple mathematical formulas can generate complex, infinitely repeating patterns.

How do fractals appear in natural phenomena such as lightning and coastlines?

Fractals appear in natural phenomena as they represent the self-similar patterns that emerge from recursive processes. Lightning bolts and coastlines exhibit fractal patterns due to the iterative processes that shape them.

What is the philosophical question raised by the prevalence of mathematical patterns in nature?

The philosophical question raised is whether mathematics is something humans invented as a tool to describe the universe or if it is a fundamental aspect of the universe itself that we are discovering.

Who is Eugene Wigner and what concept is he known for in relation to mathematics and physics?

Eugene Wigner was a physicist who introduced the concept of the 'unreasonable effectiveness of mathematics,' which refers to the perplexing fact that mathematical theories often predict the behavior of the physical world with remarkable accuracy.

What was Pythagoras' view on the relationship between numbers and the universe?

Pythagoras, an ancient Greek philosopher, believed that numbers were the fundamental building blocks of reality. He proposed that the universe operates with mathematical harmony, a concept known as 'musica universalis' or the 'music of the spheres.'

How does the concept of Numerology relate to the script's discussion on numbers and the universe?

Numerology is the belief in the divine or mystical relationship between numbers and physical reality. The script suggests that numerology's principles, such as the significance of the Fibonacci sequence and the Golden Ratio, may provide insights into personality, relationships, and life approaches.

Outlines

00:00

🌌 The Mathematical Order of the Universe

This paragraph delves into the human ability to recognize patterns and the prevalence of the Fibonacci sequence and the Golden Ratio in nature. It starts by questioning the origins of the universe and the limitations of our understanding of time, using the north pole analogy to illustrate the concept of the beginning of time. The script introduces the Fibonacci sequence, highlighting its occurrence in various natural phenomena, including plant life and the structure of galaxies. The Golden Ratio, or PHI, is also discussed, showing how it manifests in the spiral patterns of shells, galaxies, and even the human body. The paragraph suggests that these mathematical patterns indicate a deeper order within the universe.

05:03

🔢 The Hidden Mathematical Order in Nature and Chaos

The second paragraph explores the concept of numerology and its connection to the universe's beginning, using the Fibonacci sequence as an example of a pattern that extends infinitely. It discusses the Golden Ratio's appearance in various natural forms, including the human body, and introduces the idea of fractals with Benoit Mandelbrot's equation, which generates repeating patterns. The paragraph emphasizes the ubiquity of fractals in nature, from lightning to the human circulatory system, and raises philosophical questions about the nature of mathematics, pondering whether it is an invention or a discovery. It concludes by referencing Pythagoras' ancient belief in the fundamental role of numbers in the universe, suggesting that our universe operates with a mathematical harmony.

10:06

📈 Unlocking Life Insights with Numerology

The final paragraph serves as a call to action for viewers interested in learning more about how numbers can reveal insights into personality, relationships, and career. It encourages viewers to like the video and subscribe to the channel for more content. The script invites viewers to share their experiences with the Fibonacci sequence or other numerical patterns in the comments section. The paragraph ends with a note of thanks and an anticipation for the next video, emphasizing viewer engagement and community interaction.

Keywords

💡Pattern Recognition

Pattern recognition refers to the ability of the human brain to identify regularities or repeated sequences in the environment. It is a fundamental cognitive process that helps us make sense of the world. In the video, it is discussed in the context of recognizing similar patterns in nature, such as the spirals of shells, galaxies, and hurricanes, suggesting a deeper mathematical order in the universe.

💡Big Bang

The Big Bang is the prevailing cosmological model for the observable universe's origin, suggesting it began as a singularity about 13.8 billion years ago. The video mentions the Big Bang as the starting point of the universe and discusses the philosophical and scientific questions it raises, such as the cause of the Big Bang and the concept of time before it.

💡Fibonacci Sequence

The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, often starting with 0 and 1. It is named after Leonardo Fibonacci, who introduced it to Europe in the 13th century. The video highlights the prevalence of this sequence in nature, such as in the arrangement of plant seeds and petals, and its connection to the Golden Ratio.

💡Golden Ratio

The Golden Ratio, denoted by the Greek letter PHI, is an irrational number approximately equal to 1.618. It is found by dividing a Fibonacci number by its predecessor in the sequence. The video explains that the Golden Ratio is ubiquitous in nature, from the spirals in shells and galaxies to the proportions of the human body, reflecting a mathematical harmony in the physical world.

💡Numerology

Numerology is the belief in the mystical significance of numbers and their influence on human life. The video uses numerology to explore the idea of the universe's beginning, suggesting that the sequence of numbers, starting with 1, can be used to represent the progression of time and events, leading to the Fibonacci sequence.

💡Fractals

Fractals are complex geometric shapes that are self-similar across different scales, meaning a part of the pattern resembles the whole pattern. The video discusses fractals in the context of Benoit Mandelbrot's work, showing how they appear in natural phenomena like lightning, coastlines, and even within the human body, such as in the circulatory system.

💡Chaos Theory

Chaos theory is a branch of mathematics focusing on the behavior of dynamic systems that are highly sensitive to initial conditions, often resulting in unpredictable and seemingly random outcomes. The video mentions chaos theory in relation to fractals, suggesting that even in chaotic systems, there can be underlying patterns and order.

💡Mandelbrot Set

The Mandelbrot Set is a set of complex numbers for which the function defined by Benoit Mandelbrot's formula does not diverge when iterated from that number. The video describes how this simple equation generates infinitely repeating patterns, illustrating the concept of fractals and their prevalence in nature.

💡Musica Universalis

Musica Universalis, or the 'music of the spheres,' is an ancient philosophical concept that suggests there is a harmonic relationship between celestial bodies and their distances, as if the universe were a grand musical composition. The video references this idea by Pythagoras, indicating a belief in the mathematical harmony of the universe.

💡Pythagoras

Pythagoras was an ancient Greek philosopher and mathematician known for his theorem in geometry and his belief that numbers are the fundamental elements of reality. The video credits Pythagoras as the father of modern numerology and discusses his idea that the universe operates with mathematical harmony.

💡Unreasonable Effectiveness of Mathematics

This term, coined by Eugene Wigner, refers to the surprising and deep applicability of mathematics to the physical world, despite it being a human invention. The video raises the question of whether mathematics is something we invented or discovered, highlighting the mystery of its effectiveness in describing the universe.

Highlights

The human mind's exceptional ability to recognize patterns and the prevalence of similar spiral shapes in nature, such as shells, galaxies, and hurricanes, raises questions about the nature of reality and whether these patterns are inherent or imagined.

The Big Bang theory posits the universe began 13.8 billion years ago, but questions about its cause are considered meaningless by physicist Brian Green, as time itself began at that moment.

An analogy is made comparing the concept of time before the Big Bang to trying to go further north from the North Pole, illustrating the futility of seeking a cause for the beginning of time.

Numerology offers another perspective on the universe's beginning, using a timeline where 1 marks the start and 0 the moment before, suggesting an ongoing sequence of numbers that may reflect the universe's structure.

The Fibonacci sequence, introduced to Europe by Leonardo of Pisa in 1202 but known since 200 BC in India, is highlighted for its ubiquity in nature, from plant sections to flower petals.

The Golden Ratio, derived from the Fibonacci sequence, is identified as a key pattern in nature, evident in the spirals of shells, galaxies, and even the human body.

Leonardo Da Vinci's Vitruvian Man is cited as an example of the Golden Ratio's presence in the dimensions of the human body.

Benoit Mandelbrot's discovery of fractals in 1979 revolutionized science, contributing to chaos theory and fractal geometry, with fractals being patterns that repeat infinitely at different scales.

Fractals are found in various natural phenomena, such as lightning bolts, coastlines, broccoli, and even within the human body, like the lungs and circulatory system.

The connection between numbers and the physical world suggests an inherent mathematical order to the universe, challenging the notion of whether math is invented or discovered.

Albert Einstein's musings on the effectiveness of numbers in explaining the universe raises the question of why numbers correspond so well with natural patterns.

Eugene Wigner's concept of the 'unreasonable effectiveness of mathematics' is introduced as a testament to the mystery of numbers' predictive power in the universe.

Pythagoras, an ancient Greek philosopher, is recognized as the father of modern numerology, with his belief that numbers are the fundamental pieces of reality and that the universe operates with mathematical harmony.

The idea of 'musica universalis' or 'music of the spheres' is presented as Pythagoras' insight into the universe's vibrational harmony, suggesting everything is number.

Numerology's power extends beyond natural patterns to offering insights into personality, relationships, and life approach through the analysis of unique life numbers.

The channel's goal is to demonstrate how numbers can reveal information about one's personality, relationships, and career, inviting viewers to subscribe for more content.

A call to action for viewers to share their experiences with the Fibonacci sequence or other number patterns in the comments section of the video.

Transcripts

What makes us so good at recognizing patterns?

And why does the spiral of a shell, look so similar to the shape of a galaxy?

And the spiral of hurricane?

Is it that our minds are seeing patterns that aren’t really there - and we’re imagining

them in a random world?

Or are we actually seeing signs of a deeper mathematical order in the universe?

To answer this, we have to go back to the very beginning.

Most scientists believe that the Universe began with the “Big Bang” about 13.8 billion

years ago.

But when we ask: “what caused the big bang” science doesn’t really have an answer.

Physicist Brian Green argues that this is actually a meaningless question.

He says that in most cases, we know how to talk about the moment before something happens.

But when it comes to the big bang, the sentence doesn’t actually mean anything, because

that’s the moment where time itself began.

Here’s an analogy.

Imagine you’re walking north.

And if you use a compass, it’s fairly easy to go in that direction.

But there’s one place in the world where you can’t do that: the north pole.

If you’re already standing exactly at the north pole, then asking “how can I go more

north” doesn’t make any sense.

Because you’re already as far north as you can go.

You can’t go any further north than the north pole itself.

And in much same way, it doesn’t make sense to ask “what happened before the big bang”

because the big bang is the moment that time began.

You can’t go further back in time than the beginning of time itself.

Whether or not you’re happy with this answer, there’s another way to think about the beginning

of the universe: in terms of Numerology.

Imagine a timeline, where we use the number 1 to mark the beginning; the start of something

new.

And on the same time line, we can think of the number zero as the moment before the beginning.

We can use this to figure what the next moment will be, like this:

0 + 1 = 1

If we want to see what happens after that, we continue the sequence, and add the new

number to the one before it, like this:

1 + 1 = 2

And to find out what happens after that, we add each new number to the one before it,

like this:

1 + 2 = 3.

And so on.

And if we keep doing this, we get a string of numbers that goes on forever.

And it might look like random list of numbers, but it’s not random at all.

It’s called the Fibonacci sequence, and it’s named after the Italian mathematician

Leonardo of Pisa, who later became known as Fibonacci.

He introduced this sequence in Europe in the year 1202, but it’s actually even older

than that, and its believed to be first discovered in India at least as early as 200 BC.

But the baffling thing is, this sequence shows up everywhere in nature.

We see it so unexpectedly, and so often, that there’s a whole scientific journal dedicated

to studying it.

It’s called the “Fibonacci Quarterly.”

One of the clearest examples of this, is that we find the Fibonacci sequence in almost every

kind of plant and seed.

If you cut a cross-section of a banana, you’ll find that it has 3 sections.

An apple has 5.

Flowers also follow the same pattern.

And will have 3 petals.

Or 5.

Or 8.

Or 13.

Or 21.

And so on, and so forth.

All Fibonacci numbers.

But there’s another fascinating implication here.

If you divide almost any Fibonacci number, by the one before it in the sequence, you

get a number that looks like this.

And it goes on an on.

It’s an infinite number.

Again, this looks like a random number, but it’s not.

The Ancient Greeks called this number, PHI.

But maybe you’ve heard about it by a different name: “the Golden Ratio.”

And much like the Fibonacci Sequence, the Golden Ratio, also shows up all around us

in nature.

Here’s how we can see this: make a rectangle with the dimensions of the Golden Ratio.

And if you keep making a series of bigger rectangles using Fibonacci numbers, you can

draw an arc from one corner to another; making a spiral.

And this shape actually reflects many of the spirals we see in nature.

Including storms, tornados, and hurricanes - all of which spin according to this pattern.

And you can find this very same spiral in shells, galaxies, and even the human ear.

In fact, there are countless examples of the Golden Ratio all over your body.

Go ahead and hold out your arm, and look at the section between your shoulder to your

elbow, and your elbow to the tips of your fingers.

You’ll find that these dimensions follow the golden ratio.

And again, the section from your elbow to your wrist, and your wrist to the tips of

your fingers.

This also follows the golden ratio.

And even further than that, from your wrist to your knuckles, and your knuckles to the

tips of your fingers.

Again, follows the same ratio.

And as Leonardo Da Vinci found in his famous work, the Vitruvian Man, we find the golden

ratio in the dimensions of the entire human body.

But maybe you’re still skeptical.

You might say: well, we can find patterns in some areas of nature, but what about chaotic

systems?

In 1979, when mathematician Benoit Mandelbrot came up with this simple equation, he had

little idea that it would completely revolutionize science, and lead to huge contributions to

Chaos theory and Fractal geometry.

Here’s how the formula works: you take a number, square it, you add it to the original

number, and then you continually feed it back into the equation, processing it over and

over again.

And using this formula, you can generate patterns that repeat infinitely.

And, if you go deeper into the image, you’ll find smaller copies of the original shape.

These patterns are called fractals.

Any time you see a figure where a small piece of it looks like the whole, that’s a fractal.

The fascinating thing is, we see fractals everywhere - all around us.

In the shape of lightening bolts.

In the jagged coastlines of the ocean.

And even in the shape of broccoli.

In fact, you can even find fractals inside your body.

Your lungs are fractals, and so is your circulatory system.

In a very real sense, we are all, living and breathing fractals.

What this suggests, is that there’s a powerful connection between numbers, and our physical

world.

And the deeper we go, the more it looks like there’s an inherent mathematical order to

universe.

Which raises a profound question: is math something we invented?

Or something we discovered?

Many skeptics argue that numbers are just figments of our imagination.

But even Albert Einstein wondered: if math is just a creation of our minds, then why

are numbers are so good at explaining the universe as we see it?

Why do numbers correspond so well with the actual patterns we find in nature?

And if math is something we made up, then why is it so universal and consistent?

Many scientists, describe this sense that numbers somehow predict what our universe

will be like, even before we investigate it.

And the fact that numbers are so good at this is one of the deepest mysteries of the Universe.

Eugene Wigner calls it the “unreasonable effectiveness of mathematics” and the fact

that numbers describe the universe so well, is a gift that we neither understand nor deserve.

All of this points to the idea that there’s a hidden mathematical order that underlies

all of reality.

And the connection between numbers and the physical universe, runs deeper than many of

us would like to admit.

We might think of this as a recent discovery, it’s actually a very old idea.

We find it with Pythagoras, an ancient greek philosopher and mathematician who lived between

570 and 495 BC.

Pythagoras believed that numbers were the most fundamental pieces of reality.

And it’s only when we understand this more basic level of numbers, that we can begin

to really make sense of the world around us.

This idea led Pythagoras to the idea that the universe itself and everything in it,

is constantly vibrating.

He believed the universe runs with mathematical harmony and precision.

And in the same way that each string in a harp vibrates at its own frequency - every

planet, star, and galaxy also has a unique vibration.

He called this idea “musica universalis” or the “music of the spheres.”

And it was precisely this insight, that led Pythagoras to say that “everything is number.”

Most scholars now recognize Pythagoras as the father of modern Numerology, as it’s

practiced today.

He spoke these words hundreds of years before the birth of Christ.

And yet, even then, he recognized that the universe has a kind of mathematical framework.

A logical order that seems to reflect a deeper and hidden structure to reality.

As the next two thousand years have shown, he was right.

And today, with all our advances in science and technology, we seem to be uncovering the

same truths that Pythagoras discovered all those centuries ago.

According to Numerology, the power of numbers goes much further than the spirals we find

in nature, or the fractal patterns all around us.

Using the unique numbers in your life, you can unlock insights into your personality,

your relationships, and your approach to life itself.

And one of the goals of this channel, is to show you how.

If you’d like to know more about what numbers can tell you about your personality, your

relationships, and your career, like the video and hit the subscribe button.

It really does help me out.

And it helps me bring more content like this to you.

And if you’ve noticed the fibonacci sequence in your life, or any of these other number

patterns, let me know in the comments.

Thanks so much for watching, and I’ll see you in the next video.