Cosmic Lottery

Physicist Max Tegmark has identified 32 dimensionless ratios that are basic properties of reality in his though-provoking book, Our Mathematical Universe: My Quest for the Ultimate Nature of Reality. These are 32 pure numbers from which every other fundamental constant of nature can be theoretically derived.

In this illustration I depicted these parameters and added the missing on/off switch, bringing the grand total of controls needed to mathematically define a universe up to the magic 33.

33 controls must be tuned to create our universe
33 controls must be tuned to create our universe

These knobs must be so incredibly finely-tuned to create a universe, let alone a universe capable of supporting life, that we have truly won the cosmic lottery. Tegmark explains:

“How far could you rotate the dark-energy knob before the “Oops!” moment? The current setting of the knob, corresponding to the dark-energy density we’ve actually measured, is about 10−27 kilograms per cubic meter, which is almost ridiculously close to zero compared to the available range: the natural maximum value for the dial is a dark-energy density around 1097 kilograms per cubic meter, which is when the quantum fluctuations fill space with tiny black holes, and the minimum value is the same with a minus sign in front. If rotating the dark-energy knob…by a full turn would vary the density across the full range, then the actual knob setting for our Universe is about 10−123 of a turn away from the halfway point. That means that if you want to tune the knob to allow galaxies to form, you have to get the angle by which you rotate it right to 123 decimal places!

That’s interesting also because of the parallel with the game of Chess. Louis Victor Allis, a Dutch computer scientist working in the artificial intelligence field, has calculated that there are at least 10^123 games of Chess that can possibly be played. That means that the probability that our universe contains galaxies is akin to exactly 1 game of chess in 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,
000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 games. Unlikely doesn’t even begin to describe these odds. There are “only” 10^81 atoms in the observable universe, after all.


Tegmark continues:

…if the electromagnetic force were weakened by a mere 4%, then the Sun would immediately explode as its hydrogen fused into so-called diprotons, an otherwise nonexistent kind of neutron-free helium. If it were significantly strengthened, previously stable atoms such as carbon and oxygen would radioactively decay away.

If the so-called weak nuclear force were substantially weaker, there would be no hydrogen around, since it would all have been converted to helium shortly after our Big Bang. If it were either much stronger or much weaker, the neutrinos from a supernova explosion would fail to blow away the outer parts of the star, and it’s doubtful whether life-supporting heavier elements such as iron would ever be able to leave the stars where they were produced and end up in planets such as Earth.

If electrons were much lighter, there could be no stable stars, and if they were much heavier, there could be no ordered structures such as crystals and DNA molecules. If protons were 0.2% heavier, they’d decay into neutrons unable to hold on to electrons, so there would be no atoms. If they were instead much lighter, then neutrons inside of atoms would decay into protons, so there would be no stable atoms except for hydrogen. Indeed, the proton mass depends on another knob that has a very wide range of variation and needs to be fine-tuned to thirty-three decimal places to get any stable atoms other than hydrogen.

Many of these fine-tuning examples were discovered in the seventies and eighties by Paul Davies, Brandon Carter, Bernard Carr, Martin Rees, John Barrow, Frank Tipler, Steven Weinberg and other physicists. And more examples just kept turning up.”

The Moon and the Sun constitute further proof we passengers on spaceship Earth are winners. There is nothing in physics that says the Moon and Sun must appear the same size in our skies. In fact our Moon is the only satellite in our system that even comes close to doing this. It is truly amazing that the Moon and Sun discs match up—and they won’t forever as the Moon is slowly moving away from the Earth. We won the cosmic lottery again!

A look at any total solar eclipse is proof of the astronomically unlikely situation that the Sun is 400 times larger than the Moon and 400 times father away from Earth than the Moon.

Luc Viatour / CC-BY-SA-3.0
Luc Viatour / CC-BY-SA-3.0

I discovered another such symmetry in the orbital dynamics of Moon and Earth.

During one orbit around the Sun, Earth actually rotates about its own axis 366.3 times. The Moon orbits the Earth in 27.3 days. Of course a day is one Earth rotation on its own axis.

366.3 x 27.3 = 9999.99

At the same time, the Earth is 366.3% the diameter of the Moon and the Moon is 27.3% the diameter of Earth.


To better understand why the Earth rotates more times than there are days in the year, watch this clear explanation:

How can it be that the Earth and Moon are in a reciprocal mathematical relationship in terms of number of rotations and in the pure ratios of diameters? Nothing in physics says this need be so. It is far too perfect and we won the cosmic lottery yet again!


The following equation also reveals something about the unexpected perfection of the Earth-Moon system:


The combined diameter of all the planets in our solar system is 10 times greater than the Earth’s circumference. This has astonishingly high accuracy at 99.99%. As we don’t know the combined diameters of all the planets with more than 99.99% accuracy this relationship might in fact be exact. It is a powerful argument for the primacy of base 10.

“It is the mark of an instructed mind to rest satisfied with the degree of precision which the nature of the subject admits and not to seek exactness when only an approximation of the truth is possible.” -Aristotle


We won the cosmic lottery yet again, against astronomical odds! What are we not understanding?

God, Aliens, Conspiracy, Randomness and/or Triviality are unsatisfying explanations to me. These major secrets placed so obviously in plain sight make me feel like humanity is destined to understand the deeper implications.

Many more such symmetries and wonderment are in my most recent book, The Divine Proportion.

27 thoughts on “Cosmic Lottery

  1. I can provide you with several other
    Mathematical spot on numbers that are beyond chance, feel free to contact me

      1. There are a few I like to mention, but before I do I need to say that all this
        Comes from an ancient book, and this book reveals a structure upon which all is woven. One of several measures given is the cubit .0.5236
        Which in itself holds sacred secrets. But that is for another time. You will know an often mentioned number 432 and 432000 but where does it come from? The zodiac cycle 25920 as the length of the circle divided by PI
        3.1416 ( 6 cubits ) is 8,250.572956455309
        A meaningless number by the looks of it? Until one knows they are cubits
        So multiply by 52.36 and you get 432.000.
        But this is just a fraction of what the structure reveals , universal constants etc. and much much more.

        1. .5236 meters is an interesting number. I discovered this relationship:


          The royal Egyptian cubit is approximately this same distance, .5236 meters or 1.718 feet (99.4%). I think the cubit is precisely expressed as (6/5)^3 feet or 1.728 feet exactly (see Cubits).

          25920 x .3333333… = 8640

  2. Good to see you posting again Scott!

    Amazing stuff as always.

    On a side note – have you or anyone else calculated the statistical odds of some of the coincidences you’ve found?

  3. The best place to hide anything is in plain view.
    —Edgar Allan Poe, The Purloined Letter

    Wonderful new post and news of new book, Scott. Much to sink ones teeth into.

  4. Before I give you one of many, I will need
    To mention a few things, one, all this is written
    Down in code and found in a ancient manuscript.
    It gives a structure upon which matter is woven
    So to speak. Secondly, there are measures given
    Which are constants and measures given one
    That is the cubit 0.5236 or 52.36 which holds
    Many sacred secrets on its own but that for
    Another time, you might have heard of the number
    432 or 432.000 but where does it come from?
    I don’t mean the text of the Veda,s etc. but let
    Me move on the great year of 25920 as length
    Of cycle/circle divide it by PI 3,1416 or 6 x 0.5236

  5. 25920 divided by 3,1416 is
    8.250,572956455309 a meaningless
    Number until one realises its cubits
    So times 52.36 is 432.000.
    It would be to much to show how
    This links up to everything else
    In reply,s its so vast and complete
    And a bridge to all branches of science.

  6. 27.283640729019

    The cubit , a cube and sphere of same
    Diameter volume difference 52.36%

    Volume sphere 8 X cubit X D
    Golden ratio 5 X cubit

    PI 6 X cubit

    7 X cubit X 27.2839

    But be careful , do not juggle with numbers, there is one and only one structure
    From which they Spring aliphas Levi said: he who joins the hexagram and pentagram has solved half of the sacred secret

  7. When done correctly, it’s circumference
    Will be 576, the value of Holy Spirit .

    It collects in pairs the animals 12 itself containing 8
    The ark was build, 300 X 50 X 30=45.000
    45 X cubit is 235.62 ( side length pyramid )
    45 X 576 is 25920
    235.62 X 8 is 188496 / cubit is 360.0
    When hexagram (6) and pentagram (5)
    Are joined the point will be in daath

    And not 11 but 7 will mark the circumference

    1. The standard (most common) form of the pentagram ritual involves first the tracing of the circle then transforming oneself as a “cross of light”.

      The cross is of course an unfolded cube and it connects with Saturn/Binah and the tarot card The Lovers which connects to Tiphareth/Sun. The Hexagram on Saturn’s north Pole can also be viewed as a cube. Thus the mystery of the 4 into the 6 which relates to the form aspect.

      Then the tracing of a pentagram to the 4 corners / elements culminating in imaging oneself in the (star) double tetrahedron

      The WORD however is always silent.

  8. 576 X 3 = 1728
    Two further measures are given
    31.25 and 56.25
    One is in relation with 32 paths
    The structure eliphas Levi talked
    About in joining the star and creating
    It’s tail is of course the tree of knowledge

  9. You mentioned eclipses there Scott;

    Did you know that on December 22nd 2014 was the beginning of the new Metatonic calendar which is almost exactly 19 years where the Moon and Sun always align at Galactic Centre.

    Then there is the 18.6 year lunar standstill where the Moon’s declination reached a nadir on January 2016 thus starting a new cycle.

    This is why we have the 18 year 11 day eclipse cycle.

  10. Scott- A mention of a book I read, in an old post here, seemed to result in you going out and checking it out- Before the Pyramids. Very exciting!
    For other readers of this site, I would recommend 5 books exploring the ancient megalithic culture, who understood the universe far better than most people would believe, and used this knowledge to create an entire system of weights and measures which was used in everything from trade to giant building projects and beyond.
    1. Before the Pyramids. If you can absorb it, your mouth will be hanging open…mine was!
    2. Ethiopian “book of enoch”…all that matters are the astronomical observations beginning at chapter 72. It’s meaningless mumbo jumbo until you read:
    3.Uriels machine. The Book of Enoch makes sense after this large book.
    4. Civilization One. Shows how understanding the nature of astronomy led them to create an entire system of weights and measures (all encompassing and elegant) based on the 366 day year and speed of rotation of the earth. Shows how both the imperial and metric systems are far older than we think.
    5. Who built the moon? Sounds ridiculous but there are so many bizarre coincidences regarding our moon that it makes you actually question if it was designed and placed there.

  11. On the subject of the cosmic lottery I recommend reading The Privileged Planet by Gonzales and Richards and The Cosmic Blueprint by Paul Davies.

  12. Im a strange genius ,my brain operate with extreme logic just like rainman . So much that it allow me to see in the future ,but I understand why now ,I was winning at the cosmic lottery

    Im an inventor ,when I draw design it have to be perfection ,I have control over the design but not over the matter . Design is easy a compass a square and autocad . Matter is the problem why it exist its never perfect it always have a scratch or dent 🙂

    You forget to add the matter factor ;
    366.3 x 27.3 = 9999.99 + a scratch

  13. Beautiful sinchronicities with Scott, as usual, I was just studying the structure of water molecules, and reading about Leonardo da Vinci, his first quote in this blog

    I’ll read it eagerly as usual

  14. Some reasearch has shown that our solar system is ordered; all celestrial bodies following a fibonacci sequence relationship. Ordered matter in solar systems and galaxies exhibit divine proportions, and hence it’s only enevitable that at some point in space/time the habitable region of a solar system would harvest Earth and it’s moon at these ratios which brought about life. It was never a lottery, numbers, patterns and laws of physics/nature are a fundamental part of life. Beautiful exploration Scott!

  15. You realize that when multiplying the percentage of diameter for the moon and the earth you can only get 1 right?

    (d_earth/d_moon) = 366.3% (you are off but I’ll use your numbers)

    (d_moon/d_earth) = 27.3%

    Multiplying together gives:

    (d_earth/d_moon) (d_moon/d_earth) = 1 ; you only got 0.999 because you truncated the decimals.

    Furthermore, if you add a few more digits to your calculation:

    27.323*366.3 = 10008.4149 day.

    Also, this is irrelevant because you chose days … there is nothing special about that unit of measuring time.

Leave a Reply

Your email address will not be published. Required fields are marked *