fibonacci-sequence-worth-knowing-that-golden-ratio-code-natures-formula

The Fibonacci Sequence/Golden Ratio – Nature’s Coding/Mathematical Construct of the Universe

 

Article Overview 🔎

 

 

The Mathematical Construct of the Universe 🔢

 

Physicists explain that the Universe and nature have a mathematical construct. This construct is known as the Fibonacci Sequence (or Golden Ratio). The sequence has been called ‘nature’s formula’, as it is seen throughout nature. Examples of Fibonacci Sequence in nature (including Fibonacci patterns the Fibonacci spiral) can be seen in the images below:

 

The Fibonacci Number Sequence scale is as follows: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 and this equation continues infinitely. Each number’s progression is the sum of the previous two. This series of numbers is known as the Golden Proportion, Fibonacci Numbers, Fibonacci Code or Fibonacci Sequences. The ratio between the numbers (1.618034) is frequently called the Golden Ratio or Golden Number.

The ‘Fibonacci Triangle’ (also known as ‘Hosoya’s Triangle’) is a triangular arrangement of numbers, like ‘Pascal’s Triangle’, but based on the Fibonacci sequence (not binomial coefficients). Like Pascal’s triangle, the ‘Fibonacci Triangle’ is constructed by starting with a ‘1’ at the top and then filling in subsequent rows by adding the two numbers above in either the left or right diagonal (as mentioned, each number is the sum of the two preceding ones). The ‘Fibonacci Triangle’ exhibits various patterns and properties, including the Fibonacci numbers appearing along the diagonals and the sum of the numbers in each row being a Fibonacci number. Here’s an example image of the ‘Fibonacci Triangle’:

pascal-triangle-fibonacci-sequence-fibonacci-triangle

 

This Golden Number was known in ancient times and was used to build ancient architecture such as ‘The Great Pyramid of Giza‘. It is named after the Italian mathematician Leonardo of Pisa, known as Fibonacci, who introduced it more widely from to Western mathematics in his 1202 book, ‘Liber Abaci‘.

 

Fibonacci Sequence and Simulation Theory 🌐

 

This mathematical formulation of the universe displayed by the Fibonacci principle also ties closely to the Phi Ratio/Perfect Ratio/Golden Number of 1.618034. These mathematical constructs of our reality deepens contemplation into the idea that a great mind/God created everything (everything in nature operates in patterns of logical math). This also links to more evidence surfacing that suggests the universe is holographic in nature. Elon Musk is a household name that believes we live in a simulation (Simulation Theory/the Holographic Universe) and the concept has been discussed by reputable physicists on renowned platforms such as World Science Festival and TED Talks.

The concept is based on a number of principles. These principles include the idea that everything you experience is how your brain (‘your consciousness filter for to experience this reality’) is decoding waves and electrical signals. Your brain perceives information in ‘the field’ to make up this reality. More can be read on this in our holographic universe post here.

 

Fibonacci Sequence Videos 🎥

 

The Fibonacci sequence is a fundamental concept in mathematics and beyond, highlighting connections between numbers, patterns, and the natural world.

The Fibonacci Sequence is used to forecast and calculate numbers in day to day life. In mathematics, it is studied in number theory, combinatorics, and algorithms. Stock market trading is renowned for using Fibonacci retracements to forecast the value of stocks and shares, as it is inherent in subconscious human behavior. In art and design, Fibonacci numbers influence architecture, music and visual art for creating harmonious proportions.

Check out the videos below that discuss the Fibonacci Sequence in more detail.

Video 1 – The Fibonacci Sequence: Nature’s Code

This video explains how the Fibonacci Sequence, a number pattern in mathematics appears throughout nature, and how it connects to the Golden Ratio and natural growth patterns.

Fibonacci Sequence (Basics):

The sequence goes; 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, etc. The rule is that each number is the sum of the two before it.

1 + 1 = 2
1 + 2 = 3
2 + 3 = 5 etc.

Named after Leonardo of Pisa (Fibonacci), who introduced it to Western math in 1202. Fibonacci originally described it using a thought experiment about rabbit reproduction. The idea shows how populations can grow following this pattern.

The Golden Ratio (Phi ≈ 1.618):

If you divide one Fibonacci number by the previous one, you get a value close to 1.618. This ratio is called the Golden Ratio (Phi). Known since ancient Greek mathematics.

Fibonacci in Nature:

  • Petals on flowers (often 3, 5, 8, 13, 21).
  • Seed patterns in sunflowers.
  • Pine cones.
  • Fruit structures (like bananas and apples).
  • Waves.
  • Shells.
  • Cyclones.
  • Galaxies.

It suggests that this happens not because of “mystical design”, but because it is an efficient way for growth and packing in limited space, even from a creator’s perspective.

golden-ratio-in-art-nature

Golden Ratio in Art & Design:

Also displayed in the image above of the ‘Mona Lisa’, it’s used in classical art and sculpture (e.g. proportions of the human body), being associated with ideas of balance and “aesthetic perfection.”

Golden Rectangle & Spiral:

A Golden Rectangle uses Fibonacci-based side lengths (like 8×13). It can be divided into smaller squares based on Fibonacci numbers. Drawing arcs through these squares creates a spiral pattern.

The Fibonacci Spiral - Golden Rectangle and Golden Spiral - The Harmonious Golden Ratio
In summary, math is not abstract, it often taken from/describes natural growth patterns. Fibonacci numbers and the Golden Ratio show how simple rules can create complex, beautiful structures in nature.

Video 2 – God’s Fingerprint: The Fibonacci Sequence – Golden Ratio and The Fractal Nature of Reality

Like the previous video, this video also explains the Fibonacci sequence and Golden Ratio mathematically, as well as how it shows in nature. In addition to this, it discusses the points listed below.

Fractals & Self-Similarity:

  • The video introduces fractal geometry (Benoit Mandelbrot’s work); patterns repeat at all scales from cells, to humans, to societies, to galaxies.
  • Nature is self-similar across all levels of reality.

Biology & Physics Claims:

  • Cells behave like “mini versions of humans”.
  • The human body is a “community of 50 trillion cells”.
  • Atomic structure and vacuum energy connect everything.
  • Reality is deeply interconnected at all levels.

Consciousness & Reality:

  • The universe is not purely material.
  • Matter is interconnected and dynamic.
  • Mathematics inks to consciousness, spirituality, and “infinite potential” of nature.

Interpretation of Mathematics in Nature:

  • Math is the “language of nature”; the deepest way to describe reality.
  • As science goes deeper, math becomes more fundamental.

Suppressed INformation

  • Fibonacci/Golden Ratio knowledge is “hidden” or ignored.
  • Education systems and institutions suppress this information.
  • Wikipedia and academia allegedly omit or distort it.
  • This is interpreted as intentional control.

Video 3 – Why is 1.618034 So Important?

This video also explains the Fibonacci sequence and Golden Ratio mathematically, as well as how it shows in nature. Additional insights are listed below.

The golden ratio appears in:

  • Ancient architecture (e.g. pramids, Parthenon, Taj Mahal).
  • Art (e.g. Leonardo da Vinci, Vitruvian Man).
  • Music (e.g. Bach, Mozart, Beethoven).
  • Facial and body proportions.
  • DNA and the double helix.

golden-ratio-human-arm-hand

golden-ratio-in-human-hand-fingers

golden-ratio-in-human-dna-double-helix

Other Biological Examples:

  • Honeybee colony ratios (male to female distribution).
  • Animal body proportions.
  • Algae and root systems.

On reflection, it questions whether the golden ratio just a natural mathematical pattern or is it evidence of:

  • Intelligent design.
  • A universal blueprint.
  • Extraterrestrial or divine planning.

Video 4 – Fibonacci Programming

This video explains Fibonacci as a recursive function in computer science that can be computed with loops or recursion and visualized geometrically as a spiral pattern that resembles structures found in nature.

It is defined recursively: F(n) = F(n−1) + F(n−2)

Starts with: F(1) = 1, F(2) = 1

Sequence: 1, 1, 2, 3, 5, 8, 13, 21, 34 etc.

Fibonacci is a classic example of recursive functions in computer science:

  • Calls itself multiple times (double recursion).
  • Compared to factorial (Factorial = single recursion, Fibonacci = multiple recursion).

“De-recursing” (Optimization Idea):

  • Fibonacci can be rewritten using loops instead of recursion.
  • Functions that can be rewritten this way are called primitive recursive.

This is important in computer science for efficiency.

Stack Frames & How Computers Handle It:

  • Recursive functions rely on stack frames (memory structures).
  • Languages like C/Java handle this automatically.
  • Lower-level systems (like PostScript in the example) require manual stack management.

Recursion works because computers manage function calls in a stack.

Fibonacci Spiral (Visual Application):

  • Fibonacci numbers can be turned into squares; 1×1, 1×1, 2×2, 3×3, 5×5, etc.
  • Arranging these squares together produces a pattern.
  • Drawing arcs through them creates the Fibonacci spiral.

Fibonacci is a mathematical sequence, a recursive algorithm, and a visual geometric pattern generator. It connects computer science (recursion, stacks), mathematics (sequences), and geometry (spirals in nature).

 

The Physics of God by Joseph Selbie 📘

 

Joseph Selbie’s book ‘The Physics of God‘ discusses a number of topics on the nature of reality. It discusses that modern physics and ancient spiritual traditions are converging on a shared view of reality; that consciousness, not matter, is the foundation of existence.

Selbie bridges:

  • Quantum physics and cosmology.
  • Meditation and mystical traditions (especially yoga philosophy).

He explains that reality is not purely material, consciousness is fundamental, and the physical universe emerges from it. What we call “matter” is a secondary expression of deeper non-material layers of reality.

Physics Side (Simplified)

The book draws on ideas from:

  • Quantum mechanics (observer effects, uncertainty).
  • Non-locality (entanglement; particles influencing each other instantly).
  • Cosmology (origin of the universe from a non-material source).

Key interpretation:

  • Physical reality is not solid or independent.
  • Observation and consciousness may play a role in shaping reality.

 Spiritual Side

Selbie connects physics to yogic and mystical traditions:

  • Consciousness exists beyond the brain.
  • The universe has multiple layers of reality; physical (material world), subtle energetic layers, causal/consciousness level.

He draws from:

  • Yoga philosophy.
  • Meditation experiences.
  • Non-dual traditions (everything is one consciousness).

Structure of Reality (Book Model)

He proposes a layered model of existence:

  • Matter is the outermost layer.
  • Energy fields underlie matter.
  • Consciousness is the deepest layer.

The deeper you go, the more fundamental consciousness becomes.

Mind and Brain Relationship

The brain is not the source of consciousness, it is a receiver or interface. Consciousness uses the brain like a tool:

“The brain is like a TV; consciousness is the broadcast signal”.

Human Experience & Purpose

In summary, the book discusses how:

  • Humans are not separate from the universe.
  • Spiritual development is about realizing this connection.
  • Practices like meditation allow awareness of deeper reality.
  • Mystical experiences and scientific discoveries are not opposed, they are pointing toward the same truth; a unified, conscious, interconnected reality.
  • Modern physics and spiritual traditions both point to a universe where consciousness is the fundamental reality and the physical world is its expression.

Here is a video of the ‘The Physics of God‘ audiobook:

You can read more on the Holographic Universe here and the Fibonacci Sequence here. Also, here is the World Science Festival’s official website for further reference – https://cdn.worldsciencefestival.com/

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