Life as a Fractal

I have found the term “fractal” to be increasingly useful. Rather than thinking of one thing as a “copy” of another, I see the similarities that are, nevertheless, unique. I have three adult daughters, all of whom resemble their mother (and each other) with each them still being quite unique. Interestingly, I did not recognize this until a decade or so ago in which their resemblance was a theme in a dream. I woke up, and, as they say, “Once you see it – you can’t unsee it.” I have noticed the same sort of thing as I look in a mirror. There, I see my father as well as my two brothers. Growing up, I did not see that we resembled each other at all (despite being told so by others). Now I cannot unsee it.

Our genes are not the only fractals of our lives. Even personalities tend to “rhyme” through the generations, as do many of the situations they confront. Revolutionary change is very much the exception rather than the rule. I suspect that this aspect of our existence underwrites the striking relevance of ancient stories to our lives. It is, all in all, the same story, lived over-and-over with slight changes, a fractaled tale of human struggle, triumph, and failure.

In an interview, J.R.R. Tolkien opined that all great human stories are about one thing: “death.” It is the haunting presence that threatens to end any story, undo its meaning, or wrap it in unfinished and unanswered questions. And so, the gospels confront our humanity. The story confronts death and defeats it. That defeat echoes back through every action, every spoken word, every gesture. Everything is Pascha.

It is a story that we lose sight of in an intermittent manner – thinking that our lives are either self-defined or fractals of some other narrative. A present generation laments that the American Dream is beyond their reach (as though such a story was ever worth much). That dream, last time I checked, always ended in a grave, some coffins fancier than others as if such mattered to its decaying contents.

The Christian life is, properly, baptized into the fractal of Christ’s Pascha. Buried with Him in Baptism, raised in the likeness of His resurrection, we become “Christ-ians” (little Christs). The moral life that we might live is not measured against an abstract standard of rules, but measured against the silhouette of Christ Himself. Our actions of greed, envy, and lust (and such) are thus revealed to be betrayals of the Story, lines of forgetfulness.

The term “fractal” seems to fit the on-going drama. For no living depiction of Christ in a human life exactly matches the image according to which it is made. Nevertheless, or, precisely because of this, we constantly draw ourselves back to Christ Himself and the original story. Repentance erases and redraws the lines of our lives, even as God Himself directs our hand.

St. Silouan of Mt. Athos spoke and wrote about the “whole Adam,” a way of describing the whole human race. It is not a mere collection of billions of different things, but things (people), whose differences are actually quite small, all rhyming in a manner with an original pattern. Of course, he was interested in more than their similarity. The “whole Adam” can be spoken of in the singular because its commonality is grounded in a single, common life. In some manner, what happens to any one of us happens to all of us. “My brother is my life,” the great saint said. With a grounding in a single, common life, it is little wonder that our lives rhyme with one another. We are fractals.

What we proclaim as Christians is that God Himself becomes one of us. He is the Adam from whom the whole family of humanity is named. Christ, the “Second Adam,” is the Pattern according to whose image the “First Adam” is created. It should be of note that the gospel of Christ, that story which is the fullness of the human story (for so we believe), has found nowhere within our planet in which the story fails to resound. Indeed, it would seem that all the stories ever told find some level of resonance within Christ. As C.S. Lewis observed:

The heart of Christianity is a myth which is also a fact. The old myth of the Dying God, without ceasing to be myth, comes down from the heaven of legend and imagination to the earth of history. It happens at a particular date, in a particular place, followed by definable historical consequences. We pass from a Balder or an Osiris, dying nobody knows when or where, to a historical Person crucified (it is all in order) under Pontius Pilate. By becoming fact it does not cease to be myth: that is the miracle.

Or, as Lewis himself first heard it expressed by a fellow Oxford professor (T.D. Weldon):

“Rum [odd] thing, all that stuff of Frazer’s about the Dying God. It almost looks as if it had really happened once.”

I would add something perhaps odder still. It not only happened once, but seems to be repeated over and over within the life of every human being. The Orthodox say it this way:

“God became man so that man might become god.”

And the God we become is not the imagined Omnipotence-in-the-sky; it is none other than the Crucified God. Created in the image of Christ, our every step graced by His presence is a movement towards the completeness declared from the Cross. To be like Christ is not measured by miracle or speech, but by the fullness of the stature of His love.

 

 

About Fr. Stephen Freeman

Fr. Stephen is a retired Archpriest of the Orthodox Church in America. He is also author of Everywhere Present: Christianity in a One-Storey Universe, and Face to Face: Knowing God Beyond Our Shame, as well as the Glory to God podcast series on Ancient Faith Radio.



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26 responses to “Life as a Fractal”

  1. Steve Avatar
    Steve

    Beautifully written. Another interesting thing about fractals is that if we are a microcosm, then we can understand the cosmos from looking within. It reminds me of the St. Macarius quote about the heart, where can be found “not only dragons, but the treasures of grace”.

  2. Fr. Stephen Avatar

    Steve,
    Good examples. Thanks!

  3. Michael Bauman Avatar
    Michael Bauman

    My mother who was born in 1908 new of fractals all her life, even though the word was not coined until 1975. She use the term “dynamic spiral” infinitely simple and infinitely complex at the heart of what it means to be human: intra-connected with each other, creation and the Divine.

    She found the idea first in her experience of Native American cultures a hundred years ago in Taos, NM especially in their dancing prayers set to the rhythm of the human heart and exploring the mysteries of creation.

    I think it is the Word of God echoing through His Creation revealing both its infinite beauty in which we each share and it’s source in the I AM.

    Prayer, repentance, Sacramental celebration and the sharing of that with each other.

    “This is the day the Lord has made! Let us rejoice and be glad in it.”

  4. Connie Avatar
    Connie

    Fr Stephen, Steve’s comment that we can understand the cosmos by looking within is a fascinating but confusing idea to me. Can you expand upon it?

  5. Dee of St Herman Avatar
    Dee of St Herman

    Connie,
    I believe I might have something to offer in addition to what Father Stephen and Steve have already said.

    This perspective they express is actually an old, even ancient, understanding of the Orthodox Church. The term fractal, used in recent language, refers to a mathematical algorithm of shapes within shapes, such that as you zoom into an image, you continue to see the same shapes. They are describing the entire creation as having a certain relationship within itself because God is in all things. And we, as human beings, all carry the image of God.

    Unfortunately, our current (western) culture has a way of individualizing things, such that in chemistry, as an example, we are taught that all substances are particulate. The notion is also described as the “particulate nature of matter”. However recent physics has begun to dismantle such notions, impacting the fields of both physics and chemistry. Things at their fundamental level are not so much as particulate and isolated in space but relational. “Empty” space itself is no longer what we thought it was. In other words, it isn’t empty.

    I don’t have the references ready at hand but if my memory serves me St Maximos and St Sophrony describe similar understandings.

    From (this site Orthodox Christianity: https://orthochristian.com/96486.html I find these words of St Maximus:

    In his vision of this task, man is described by St. Maximus as a microcosm (ό μικρὸς κόσμος) because man is composed of both body and soul—both physical and spiritual, sensible and intelligible natures, he is thus the creation in miniature, as creation also consists of both physical and spiritual realities. In this he is following upon the Cappadocian Fathers, and Nemesius of Edessa. Man occupies a “middle” position in creation, straddling the division between the material world that we inhabit and the spiritual world of the angelic powers.

    Conversely, if man is a microcosm, then for St. Maximus the universe is a makranthropos—a man distended, and so the universe can be contemplated as a man. St. Maximus states in his work The Church’s Mystagogy that “the whole world, made up of visible and invisible things, is man and conversely that man made up of body and soul is a world …

    St Sophrony also mentions that the warring and upheavals (man-made and otherwise) we see outside of us are related to what goes on within us. Again, this stresses our relationship with each other and with creation.

  6. Connie Avatar
    Connie

    Dee, I believe firmly in our connectedness to each other, that all things work together, and that ultimately the whole human race will be saved in a glorious finale. I can look within myself and see the good, the bad, the grace of God, and thus can definitely relate to all humanity. What I can’t quite grasp is how being a microcosm of the universe and looking within ourselves can help us understand the world beyond humans – the stars, flora, fauna, spiritual beings, the entire cosmos. Confession: I want to be able to relate more personally to Creation but find mental blocks all along the way. But that is an issue stemming from an incredibly reductionistic childhood that probably should be dealt with elsewhere.

    Your quote from St Maximus (“the whole world, made up of visible and invisible things, is man”) is also intriguing. I hope to understand this some day! Thank you.

  7. Fr. Stephen Avatar

    Connie,
    It’s (as Dee noted) an understanding that is somewhat common among some of the greater Fathers – but famously associated with St. Maximus. I do not think that he means that we may understand the particulars of the cosmos by looking within ourselves (flora, fauna, stars, etc.). There is something of a “mystical” meaning – that the whole universe is somehow present within us and reflected in us (like the visible/invisible sense). For one, it means that we should not see things outside of us as “alien” to us. In science terms, for example, we’re told that many of the elements that constitute our bodies and our planet were given birth in the events of super novas elsewhere in the universe. (We’re not just “earth” people – Earth itself is the beneficiary of the whole process of the universe’s unfolding).

    It is a notion that bears meditation and consideration. I’ve pondered it for a lot of years, and am still working on it.

  8. Michael Bauman Avatar
    Michael Bauman

    …and yet Father there is a utter simplicity about it at the same time. The dance of Creation begun by God’s Word sill echoing through us and the Cosmos.

  9. Connie Avatar
    Connie

    Thank you Fr Stephen. That does help.

  10. Ook Avatar
    Ook

    Whilst studying fractal mathematics during my misspent youth (always seeking a deeper meaning in the math), I drew inspiration from Blake’s “Auguries of Innocence”; particularly the opening lines:
    To see a World in a Grain of Sand
    And a Heaven in a Wild Flower
    Hold infinity in the palm of your hand
    And Eternity in an hour

    It seems as if Father is saying something quite similar but on a human scale.

    PS The photo above has probably triggered thousands of yawns among readers. “Rhyming” indeed.

  11. Connie Avatar
    Connie

    Ook, I so appreciate you posting those beautiful lines by Blake. They so perfectly illustrate what Fr Stephen was saying and what I was looking for.

  12. Dee of St Herman Avatar
    Dee of St Herman

    Father,
    We hear the voice of the Lord in scripture, but I also believe that we hear his voice as we attend closely and reverently to nature. As you wrote about our ‘stuff’ is the material of ancient stars. Nature is not a thing, it is the living landscape upon which our Lord writes his words. Because God is Life, His workings in creation bring life. I’ve heard a geologist say we are the eyes of the earth looking upon itself. Although it might sound poetic, I also believe in a concrete sense that nature speaks to us (of our Lord and of our relationship with Him) and hymns with us. I hope this, too, is aligned with Orthodox teaching. However, I’ve heard occasionally that my perspective is very similar to Sergius Bulgakov’s (whose writings I actually haven’t read).

  13. Fr. Stephen Avatar

    Dee,
    A very prominent topic in the writings of a number of the early Fathers was that of the contemplation of nature (theoria physike) – it was a contemplation of God “in and through nature.” Much of what they saw was the “divine energies” manifested as the goodness of God in His creating of all things and His good will in their direction, etc.

    At a certain point in the modern world the theoria physike became divorced from God (like all else) and became just contemplating matter, etc. But, even in this, its beauty, wonder, and composition have continued to hold our attention.

    I am amused (to some degree) by all of the seeming fascination with finding “life” somewhere other than our own planet. I’m also amused at the nonsense surrounded purported alien visitations (especially the crashes of alien spaceships) to our shores. I have wondered why we would ever want to communicate with aliens who are such bad drivers? 🙂

    I do not find it necessary or interesting to imagine that these “visitations” are the work of demons. It’s a far more interesting commentary on the nature of human psychology. Dr. Nathan Jacobs did a film a few years back on the phenomenon of the “Nones” – those who have left the ranks of believers, or who simply describe themselves as having “None” when asked about religious belief. They have been described as a very fast growing statistic in certain age groups in our culture. He did his film with in depth interviews of around 60 people/couples. In a recent conversation with Jonathan Pageau, he noted that nearly all (“98 percent at least”) of those interviewed, though professing no religion or belief in God, professed to believe in ghosts. That’s not surprising, actually. The Enlightenment classically produced lots of critics of religion while producing a rapid rise of interest in “spiritual things.” So today we have the “spiritual but not religious.” I see the aliens phenomenon as just a recent version of ghosts (with the added attraction of being able to maintain the pretense of “rational inquiry”).

    Sorry for the long aside.

    Theoria physike is still a very good practice – to look for and contemplate God as He makes Himself known to us in creation. Bulgakov is a very interesting read. There were some things of his that were a bit scandalous – but much that is of value. He’s not a touchstone of Orthodoxy – but quite interesting.

  14. Dee of St Herman Avatar
    Dee of St Herman

    Thank you Father! I enjoy and so appreciate everything you have said, including the ‘aside’.

    Just recently, I was curious to find out what NASA might define “life” since some scientists are looking for signs of life elsewhere. Indeed, the current concept is quite reductionist, centered in some respects on our current understanding of DNA replication and gas development on Earth. Also, interestingly, some are asking why we must use life on Earth as the analog of what we should look for elsewhere. If Orthodox scientists pursued such a question, we would likely end up with the very thoughts you have brought into this article!

  15. Michael Bauman Avatar
    Michael Bauman

    Dee, another aside on this topic: An old pre-Orthodox friend of mine who with many others I know became Orthodox 30 years ago, Vincent Rossi, wrote extensively on the topic especially after studying under Met. Kallistos Ware. He ended his life as a monk in ROCOR a couple of years ago.
    I think he offered a lot on the topic of the Holy interaction between God, His Creation, and we humans as microcosm and steward.

  16. Simon Avatar
    Simon

    In what little Orthodox phronema I possess, ‘the human being’ is an ongoing revelation of the Cosmos. The implication is that the Cosmos possesses the possibility of personhood. I think the idea that the mind as a nonmaterial something added to the body via choose-your-pixie-dust to the brain fell out of favor a long time ago, and for good reasons. This saw the subsequent rise of epiphenomenalism among neuroscientists and philosophers of the mind. Recently, however, this radical idea has also fallen or is falling out of favor. There are many neuroscientists coming around to the idea that the universe is something panpsychic: Psyche is fundamental to the universe. OF course, if we allow for that, then this entails the possibility of the emergence–or revelation (Rom 8:19)–of beings with personhood. Ergo, deification, full hypostatic realization, is the hypostatization of the Cosmos. The Cosmos herself is Eve writ large.

    I like the language of revelation. By that I mean that whereas I would never feel included to push back against language that uses concepts of change, emergence, evolution, etc. I think it brings us closer to the kernel of Eucharistic truth to speak of revelation. I wouldn’t argue with anyone about perceiving changes over time as ‘God working out what he has worked in.’ The difficulty I have with this is that it prioritizes our perception of change when what we perceive and experience is vulnerable, fragile and constitutes such a small part of what can be perceived. I think language that recasts Life and the Cosmos as a revelation in progress decentralizes our perception.

  17. Dana Ames Avatar
    Dana Ames

    I recently listened to the interview Fr Stephen references, between Jonathan Pageau and Dr Jacobs; find it at Jonathan’s channel on YouTube. Wonderful exchange, giving clarity to the thoughts underpinning Modernity, among other things. Highly recommended, esp if you like thinking about stuff 🙂

    Dana

  18. Fr. Stephen Avatar

    Simon,
    I can see the direction of what you’re saying…it’s way above my pay grade (meaning that I could only speculate). I frequently think of the whole universe existing in its size and length of time for the single purpose of giving us “us” – thinking (logikos) beings who give thanks (voice) to the whole thing. It’s sort of the anthropic principle on steroids. I like “God working out what he has worked in.”

  19. Margaret Avatar
    Margaret

    Father,
    Thank you for writing a little about theoria physike. I like to read the comment section of your articles to find all the extra tid-bits; everyone here has good discussion points!

    This concept of fractal patterns and theoria physike is one thing I’ve been struggling with when contemplating Christianity. As G.K. Chesterton put it, “Who does not feel the death and resurrection of the growing things of the earth as something near to the secret of the universe?” It seems to me that the promise of everlasting life is nearly an antithesis to this fractal pattern. In fact, everlasting life seems almost like a threat. Things that don’t rot and die are rather repulsive, like a Big Mac that just stays “fresh” for 20 years. A deacon at my parish questioned why we didn’t use silk flowers for Pascha, and was met with a volley of protests from all the ladies – “But they have to… die!”

    In order to live well, death is necessary – our skin cells have to die to make room for new cells, the process of digestion is a “death” of decomposition, the plants and animals we eat die to give us life. And certainly on a spiritual and mental level, I need so many little “deaths” to my desires, expectations, etc.

    My only way to approach this seeming incongruence is differentiating between “productive death”and “destructive death”. For example, only the outer layer of a tree trunk is alive. The heartwood is technically dead, and the tree can only keep growing if the outer layer dies, joins the heartwood, and makes way for the next year’s growth. But it’s a healthy, necessary death – very unlike when the tree starts to rot from the inside.

    Is this similar to the Christian promise of everlasting life?

    Please forgive the long comment – I’ve been struggling with this concept for so long.

  20. Fr. Stephen Avatar

    Margaret,
    Death is “redeemed” in Christ’s death – it is changed and we can see as something else (a door to a greater life, etc.). If we were pure materialists, we could see death as “useful” – as one death provides fertilizer for someone’s new life. But, without Christ’s death and resurrection, it passes into a meaninglessness, mostly under the heading of “stuff happens.” Everlasting life is not a contradiction of this life – it is its fulfillment. Christ in the resurrection, for example, still bears the wounds of the nails and the wound in His side. This life is not “destroyed” but “fulfilled” in the life to come.

  21. Michael Bauman Avatar
    Michael Bauman

    Father, is that in line with Christ’s proclamation: “Behold, I make all things new!”?

  22. Margaret Avatar
    Margaret

    Thank you for the reply, Father, and for the addition, Micheal. I’ll contemplate this some more! Perhaps I am too enthralled with the little rhythms of the life-death-resurrection cycle here on earth. The idea of it all culminating in an Eschaton and End still feels not only frightening but rather tragic.

    This has made me think of a quote from Anne of the Island:

    “When she came to the end of one life it must not be to face the next with the shrinking terror of something wholly different — something for which accustomed thought and ideal and aspiration had unfitted her. The little things of life, sweet and excellent in their place, must not be the things lived for; the highest must be sought and followed; the life of heaven must be begun here on earth.”

  23. Michael Bauman Avatar
    Michael Bauman

    Margaret, it has been 60 years since my dear mother awakened my heart to both the necessity and the reality of God with us.

    When I think in those terms: a time line of sorts, it seems both a fantasy and intimidating at tmes. What makes it real is that Jesus is with me now. Eternity is much the same. We only know what we know right now. There is context from which we derive meaning and substance, but only the now is real. The eschaton is the same as is death.

  24. Michael Bauman Avatar
    Michael Bauman

    The Gospel song “One day at time, sweet Jesus” comes to mind.

  25. Nicole from VA Avatar
    Nicole from VA

    Father, you may know but I fairly recently learned that from one cell if the DNA is extended like a ladder rather than kept wrapped up in a spool as it typically is, the DNA is over 6 feet long. For me, that means one cell holds something taller than I am.

    My husband, who is a Cell Biologist, pointed out that a recent movie showed an image of the DNA of the main character, pulled up from a database on a computer screen, and it had 20 or fewer base pairs in the depiction. There are more than a billion! The depiction speaks of the reductionist nature of modernity and its unwillingness to see the true complexity of what God has done, instead to perceive itself as master over something negligable as it moves forward with its own planning and will

    I mention this just to share the theme of DNA like a long scroll that does capture so much, back to our family members thousands of years ago.

    When I teach the math of the powers of 2
    2, 4, 8 16 32 64….

    I always emphasize a cell dividing, but it is also a grandparent catalog. You have 4 grandparents, 8 great grandparents and so on stretching back through time. In a way it is like there are more people we are direcly related to 1,000 years ago than 80 years ago.

    I like how you are using the word fractal here. I often think of the word ‘within-ness’ The mystery of who is inside of us, along with us, Christ knocking or within our hearts, but also our family members and those who have impacted us so deeply. I think the Harry Potter stories and movies did this so well as Harry later relizes his parents and mentors dwell within him and are with him before his final fight.

    Also, finally, on the theme of being surprised as we grow older to realize how much we are connected to or resemble our parents, I remember from years ago someone commented on your blog:

    ‘I hear my dad every time I cough’

    I hope all is well and send a hello to all the readers 🌿

  26. Fr. Stephen Avatar

    Nicole,
    Thank you. We are “fearfully and wonderfully” made.

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