Do a search on 'fractal universe' and numerous resources will come up speculating that the universe is fractal in nature.

It must be too obvious. Even children would notice the visible spirals apparent in tiny objects as well as in large ones. Notice the patterns in sunflowers and seashells, or take a look at satellite photos of typhoons and pictures of galaxies.

The spiral pattern appears in both small and gargantuan objects which signify that the universe has an inherent fractal property. The spiral, the sphere, are just a few basic clues that denote that our world has the property of "self-similarity". Take a closer look at a fern's leaf, it is an exact replica of the whole fern including it's leaves! The patterns are just too overwhelming to ignore that it spawned a whole new science of Fractal Cosmology to investigate such a conjecture.

So what if the universe is a fractal? What are the implications if the cosmos is self-similar? What would it mean for us anyways?

Everyone would probably have a different answer but in context with this site, having a fractal universe would mean that 'archetyping' (a term I coined for pattern-seeking) is a wonderfully fruitful activity. It means that there is so much to be discovered out there. It means that there is an awesome landscape of adventure for the mind, such that a pattern - or an archetypal concept, discovered in one observational level can be used to unravel new knowledge in another.

And because fractals are the result of an 'algorithm' that dictates how the pattern appears (as exemplified by Mandelbrot Sets), it means that there is an ultimate cosmic algorithm, or 'archetypal functions' waiting to be tapped into.

And so, the answer to the question "So what if our universe is fractal?" is a resounding, "It is Fun!"

## Tuesday, September 25, 2007

## Thursday, September 20, 2007

### Metaphors from the Fig Wasp and Sycamore Fig

I just can't help but write about how inspired I was by this documentary so rich with metaphors and analogies to learn from, the greatest of which has something to do with living life according to your purpose. The energy I mustered to launch Archetyper.com was partly inspired by this DVD, hence it is only proper that I post about this wonderful story of the Sycamore Tree and the Fig wasp.

Every single fig tree supports an entire ecosystem of thousands - even millions - of organisms, one species of which is the fig wasp.

The fig wasp lives only for a few days but it does so remarkably because the next generation of sycamore trees depends on them. Only the fig wasps can pollinate the figs. And only the fig tree can support the survival of the fig wasps. Each cannot exist without the other.

On a mass-ive scale, we are like fig wasps on this "sycamore" planet. For millions of years, earth has been nurturing our species. It is now our turn to do our part in nurturing the planet and its ecology to propagate life for future generations.

On an individual scale, a single fig wasp busting it's gut to accomplish it's unique mission is the way to go. There is nothing more fulfilling than to breathe your last knowing that you are what you were meant to be, and done what you were meant to do.

Every single fig tree supports an entire ecosystem of thousands - even millions - of organisms, one species of which is the fig wasp.

The fig wasp lives only for a few days but it does so remarkably because the next generation of sycamore trees depends on them. Only the fig wasps can pollinate the figs. And only the fig tree can support the survival of the fig wasps. Each cannot exist without the other.

On a mass-ive scale, we are like fig wasps on this "sycamore" planet. For millions of years, earth has been nurturing our species. It is now our turn to do our part in nurturing the planet and its ecology to propagate life for future generations.

On an individual scale, a single fig wasp busting it's gut to accomplish it's unique mission is the way to go. There is nothing more fulfilling than to breathe your last knowing that you are what you were meant to be, and done what you were meant to do.

### The Pattern in Longevity and how to break free

It has been recently announced that plants' lifespan follow the same rules as the animal kingdom - that bigger animals live longer, and smaller ones die quicker - in a predictable proportion between size and longevity. Think fruit flies and whales, duckweed and Sequoia. I know that this fact have been known long since long ago, and its no news at all but its a good time to reflect why this is so. Humans only have about a hundred years to savor life on this planet. Our natural lifespan follow the same ratio described above.

Is there a way to live forever? Proponents of longevity struggle to break the barrier, and I do believe that in the future, the lifespan of humanity will be extended a hundredfold. But still mortality will remain forever. As stated by the second law of thermodynamics, our bodies continue to decay into entropy.

The only way I see to transcend mortality is to live life to the fullest by living according to your purpose, here and now.

Is there a way to live forever? Proponents of longevity struggle to break the barrier, and I do believe that in the future, the lifespan of humanity will be extended a hundredfold. But still mortality will remain forever. As stated by the second law of thermodynamics, our bodies continue to decay into entropy.

The only way I see to transcend mortality is to live life to the fullest by living according to your purpose, here and now.

## Saturday, September 1, 2007

### Prime Numbers and Quantum Physics

Here's a great story that illustrates why it is good to look into patterns from other fields of study and apply it to another field to gain novel new insights. The pattern discovered from one discipline can then be used to solve problems in another field that may have been unsolvable (or would have taken decades to solve) from within that field alone. In this case, the connection is between Prime Numbers and Physics. This is what I call Archetyping.

The gist is that when prime numbers were plotted as points in some sort of graph (zeta landscape) using Riemann's equation, a pattern emerged that the zeros seemed to be "running in a straight line through the landscape". Hence, Riemann He proposed that all the zeros, infinitely many of them, would be sitting on this critical line — a conjecture that has become known as the Riemann Hypothesis. The connection to Quantum Physics is that "if you compare a strip of zeros from Riemann's critical line to the experimentally recorded energy levels in the nucleus of a large atom like erbium, the 68th atom in the periodic table of elements, the two are uncannily similar". And so, "If one could understand the mathematics describing the structure of the atomic nucleus in quantum physics, maybe the same math could solve the Riemann Hypothesis".

And so, insights from Quantum Physics resulted in great new many discoveries in Mathematics. A formula to predict all the numbers in the sequence, as well as solutions to other math-specific puzzles were gleaned from Quantum Physics largely inspired by the connection and the pattern.

I believe that a great many new things can solved in other fields using this "extra-disciplinary cooperation". Great questions in Science, Spirituality, Theology and Philosophy can be given a new light, specially in questions about the meaning of life and maybe even the afterlife, if we all learned a bit more to correlate and cooperate.

The gist is that when prime numbers were plotted as points in some sort of graph (zeta landscape) using Riemann's equation, a pattern emerged that the zeros seemed to be "running in a straight line through the landscape". Hence, Riemann He proposed that all the zeros, infinitely many of them, would be sitting on this critical line — a conjecture that has become known as the Riemann Hypothesis. The connection to Quantum Physics is that "if you compare a strip of zeros from Riemann's critical line to the experimentally recorded energy levels in the nucleus of a large atom like erbium, the 68th atom in the periodic table of elements, the two are uncannily similar". And so, "If one could understand the mathematics describing the structure of the atomic nucleus in quantum physics, maybe the same math could solve the Riemann Hypothesis".

And so, insights from Quantum Physics resulted in great new many discoveries in Mathematics. A formula to predict all the numbers in the sequence, as well as solutions to other math-specific puzzles were gleaned from Quantum Physics largely inspired by the connection and the pattern.

I believe that a great many new things can solved in other fields using this "extra-disciplinary cooperation". Great questions in Science, Spirituality, Theology and Philosophy can be given a new light, specially in questions about the meaning of life and maybe even the afterlife, if we all learned a bit more to correlate and cooperate.

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