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Coincidence in Unimaginable Scales of the Universe

March 27, 2025 Reading time: 7 minutes

This story is created for the YouTube video with the title "Coincidence in Unimaginable Scales of the Universe".

In our world, a few numbers describe the sizes of the most important objects and phenomena. Among them are the sizes of a proton, DNA, a human, the Moon, the Earth, the Sun, the Solar System, the Galaxy, and the observable Universe - only a dozen numbers. Any coincidences among these numbers should spark interest because the number of possibilities is limited. One cannot dismiss strange events as mere play of chance or numerology without first examining the total number of random occurrences. And for a set of just a dozen numbers, meaningful coincidences typically indicate an underlying fundamental regularity.

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Sleep and Dreams: The Gates to the Unknown

March 6, 2025 Reading time: 7 minutes

Sleep and Dreams

Every day our consciousness "shuts off" for an extended period. We do not see, hear, or feel. It is as if we enter another world. Upon waking, one might ask: Where have I been all this time? And if you wake someone abruptly in the night, they often struggle to recognize which world they are in.

Sleep is so ordinary that we seldom question its true nature. And when we do this, science is here to provide the explanation: Sleep is a time for our body's recovery, a phase for "memory consolidation," during which the brain processes and stabilizes experiences. But is this a complete answer? How can science explain something to which it has no direct access - our inner self?

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The Mysterious Pattern Inside the Pi (π) Constant

February 26, 2025 Reading time: 7 minutes


Watch YouTube video based on this story about the constant PI.

The universe around you holds secrets, often hidden within mathematical constants. These constants are so deeply woven into the fabric of existence that we frequently overlook just how extraordinary they truly are.

Consider the ratio of a circle's circumference to its diameter. This ratio is the constant known as π, with a value of approximately 3.14. It is an 'irrational' number, meaning that its decimal representation never ends, nor enters a repeating pattern. This constant cannot be expressed as a simple fraction of two integers. Could there be universes where π is different, say 4? Or perhaps universes where it is not constant at all, but instead a function of the diameter? Why does this world have this particular value of π?

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A journey to infinity: Fractals

January 29, 2025 Reading time: 6 minutes

Imagine walking through a terrain that never repeats itself. It is a labyrinth of intricate patterns - mountains, branches, and valleys interwoven in endless complexity. No matter how much you zoom in, the details persist, evolving infinitely without repetition.

Such a journey compels you to ask two profound questions:

  1. What lies at the end of this road?
  2. Who or what created all of this?

The answer to the first question might appear simple at first glance. If it is proven - and you believe - that this road stretches infinitely, then every conceivable possibility must eventually arise. Shapes of all kinds will emerge along the way. You might even witness the letters of this story materializing before your eyes - or perhaps something resembling your own face. It is only a matter of time.

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