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Meditations on change

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Despite our carefully laid plans, the lives of our projects and the projects of our lives often hinge on events we have little control over. Robert Chia stresses this point in his wonderful book, Strategy without Design:

“Ambitious strategic plans, the ‘big picture’ approach that seeks a lasting solution or competitive advantage through large-scale transformations, often end up undermining their own potential effectiveness because they overlook the fine details of everyday happenings at ‘ground zero’ level.”

At one level we know this, yet we act out our personal and work lives as if it were not so.

–x–

In business (and life!) we are exhorted to think before doing. My boss tells me I need to think about my team’s workplan for next year; my wife tells me I need to think about the future. Thinking is at the centre of our strategies, blueprints, plans etc.  – the things that supposedly propel our lives into a imagined, better future. 

The exhortation to make detailed plans of what we are going to do is a call to think before acting.  As Descartes famously wrote, cogito ergo sum:  thinking establishes our being.

But is that really so?

–x–

In his posthumously published book, Angels Fear, Gregory Bateson noted that:

“There is a discrepancy of logical type between “think” and “be”. Descartes is trying to jump from the frying pan of thought, ideas, images, opinions, arguments etc., into the fire of existence and action. But that jump itself is unmapped. Between two such contrasting universes there can be no “ergo” – no totally self-evident link. There is no looking before leaping from “cogito” to “sum”

The gap between our plans and reality is analogous to the gap between thought and action. There is ample advice on how to think, but very little on how to act in difficult situations. This gap is, I think, at the heart of the problem that Chia articulates in his writings on emergent approaches to strategy.  

Understanding this at the intellectual level is one thing. Grasping it experientially is quite another. For, as they say, there is no better way to learn than through experience. 

–x–

A few weeks ago, I attended a 10-day Vipassana course at the Dhamma Bhumi centre in Blackheath. Late April is a beautiful time in the Blue Mountains, with glorious sunshine and autumn colours just starting to turn. A perfect setting to reflect and meditate.

Vipassana, which means insight in Pali, is a meditation technique that revolves around observing the often-transient sensations one encounters across one’s body without reacting to them  (for example, that itch at the back of your head right now).

The objective is to develop a sense of equanimity in the face of an ever-changing world. Strangely, it seems to work: the simple act of observing sensations without reacting to them, if done in the right away and for long enough, has a subtle influence on how one perceives and responds to events in the world.

Now, I would not go so far as to say the experience was life changing, but it has certainly made me more aware of the many little incidents and encounters of everyday life and,  more importantly, better mediate my reactions to them.  That said, it is still very much work in progress.

Buddhist metaphysics suggests that the practice of Vipassana helps one (gradually) understand that it is futile to force change or attempt to bend the world to one’s will. Such acts invariably end in disappointment and frustration; any planned change aimed at achieving a well-defined, stable end-state will miss the mark because the world is Heraclitean: ever-changing and impermanent. 

–x–

Heraclitus famously asserted that everything is in motion all the time or all things in the world are constantly changing. Hidden in that statement is a paradox: if everything is changing all the time, then it is nigh impossible to pinpoint what exactly is changing. Why? Because nothing in the universe is stable – see Bateson’s article, Orders of Change, for more on this.

Lewis Carroll describes this paradox in a conversation between Alice and the Caterpillar in Chapter 5 of Alice in Wonderland:

“Who are you?” said the Caterpillar.

This was not an encouraging opening for a conversation. Alice replied, rather shyly, “I—I hardly know, sir, just at present—at least I know who I was when I got up this morning, but I think I must have been changed several times since then.”

“What do you mean by that?” said the Caterpillar sternly. “Explain yourself!”

“I can’t explain myself, I’m afraid, sir,” said Alice, “because I’m not myself, you see.”

If the world is ever-changing then so is one’s own identity, not to mention the identities of everything else around us. This brings up a raft of interesting philosophical questions that I neither have the time nor expertise to confront. 

However, I can write about my lived experiences.

–x–

Anapana is a breathing technique taught as a prelude to learning Vipassana. The technique involves focusing on the sensations caused by breathing – for example, the coolness felt above the upper lip on an incoming breath and the corresponding warmth on exhalation.

After a day or two of intense practice I became reasonable at it. So much so that at times deep in a Anapana session, it felt like the observer and the observed were distinct entities: the “I” who was watching me breathe was no longer the me who was being watched.

This was disconcerting. I asked the teacher what was going on.

His terse reply: “don’t worry about it, just do what you are doing.”

At the time his response felt deeply unsatisfying. It was only later I understood: as Wittgenstein famously noted in the final line of the Tractatus: whereof one cannot speak, thereof one must be silent.

Some things are best experienced and learnt through experience than spoken (or written about) or taught explicitly.

–x–

An organisation is a complex system in which much of the complexity arises from the multiple pathways of interaction between the people who comprise it. The objective of an organisational strategy (of any kind) is to get all those people working purposefully towards a well-defined set of goals. Such a strategy is invariably accompanied by a roadmap that describes what needs to be done to achieve those objectives.  Very often the actions are tightly scripted and controlled by those in charge.

But those who wish to control change are no different from those who believe in a chimerical stability: they are today’s Parmenideans. Many years ago, the cybernetician and organisational theorist, Stafford Beer, wrote:

“The most famous of the believers in change was Heraclitus, working in Ephesus, best known for teaching that everything is in constant flux. It was he who wrote that you cannot step into the same river twice. But just down the road the philosophers of Elea were contending that change is impossible. Parmenides, for example, taught that all change is inconceivable – its appearance an illusion. All this in 500 BC. The argument rages on. Today’s management scone is typified in my experience by people fervidly preaching change to people who fervently embrace change – on condition that nothing alters.”

A little later in the same piece, he notes, “Society is Heraclitian; but Parmenides is in charge

One could say the same for organisations.

But then, the question is:  if tightly scripted and controlled approaches to strategy don’t work, what does?

–x–

The technique of Vipassana is simple, straightforward and can be summarised in a few lines:

The basic procedure is to scan (turn one’s attention to) all parts of the body in sequence, objectively observing the sensations one feels on each part. A sensation is anything that comes to your attention. It could be temperature, humidity, itchiness, pressure, strain, pain etc. Although one is immediately aware of relatively intense sensations itches and pains, one is typically not attuned to the subtle, ephemeral sensations experienced across one’s entire body all the time. The technique forces one to focus on the latter in an equanimous manner – i.e., without reacting to them. Instead, one uses these sensations to guide the pace at which one does the scan. See this reddit post for more.

The simplicity is deceptive.

It was sometime in the latter half of the course – may be day 6 or 7 – I realised that a key aspect of the technique is its indirectness. The sense of balance and equanimity I was practising during meditation was, almost imperceptibly, spilling over into other aspects of my life. I found myself being more relaxed about small things I would normally get upset about. Not always, of course, but more often than I used to.

Habits of a lifetime take a while to change, and the trick to changing them seems to centre around taking an oblique or indirect route.

–x–

In a paper published in 2014, Robert Chia noted that:

“Managing change then is more about small, timely and quiet insertions made to release the immanent forces of change always already present in every organizational situation. Change then appears unexceptionally as a naturally occurring phenomenon; it does not attract undue attention and does not generate unnecessary anxieties. Obliqueness of engagement is key to managing sustainable change in a world that is itself ever-changing.”

From personal experience – and more about that in a moment – I can attest that such an indirect approach to change, which leverages latent possibilities within the organisation, really does work. Akin to natural evolution, it is about repurposing or exapting what is at hand to move in a direction that takes one to a better place.

As Chia wrote,

“The Emergent perspective emphasizes a ‘bottoms up’ approach to change and views outcomes as the result of the cumulative and oftentimes ‘piecemeal’ adaptive actions taken in situ by organizational members in learning to cope with the exigencies of organizational situations.”

So, back to the question I hinted at earlier: how does one act in such a manner?

–x–

Strangely, few if any proponents of the Emergent perspective have offered any advice on how to develop and implement strategy in an indirect manner. As Bateson once noted,

“What is lacking is a theory of action within large complex systems, where the active agent is himself a part and a product of the system.”

A couple of sentences later, Bateson offers a route to a possible solution:

“It seems also that great teachers and therapists avoid all direct attempts to influence the action of others and, instead, try to provide the settings or contexts in which some (usually imperfectly specified) change may occur.”

An indirect approach to change must focus on creating a context in which change can happen of its own accord.

–x–

Participants in a Vipassana course are required to abide by a code of discipline for the entire period of the course At first I thought some of the restrictions were over the top – for example, complete silence, no reading or writing. Now I know that is not so:  the rules are necessary for creating a context in which an individual can initiate serious changes in his or her outlook and way of life.

By day three I no longer missed having my phone, journals or reading materials at hand. When the weather permitted, I spent the time between meditation sessions walking on the tracks within the centre compound. On rainy days I would just sit and reflect on the things going on in my head.

Practising the technique seems to evoke all kinds of thoughts, memories and emotions.  As we were informed in one of the evening discourses these are all expected  natural reactions caused by the process of learning Vipassana in the right context. The serene physical environment and the code of discipline provided that context.

–x–

To be clear, creating a context for good things to happen does not guarantee a specific outcomes, let alone positive ones. The Vipassana experience is highly personal: no two people doing it will have the same experience. Yet, the context is the key because creates conditions in which beneficial outcomes are more likely to occur than harmful ones. This is reflected in the overwhelming number of people who speak positively about the experience.

As I have discussed in an earlier piece , there are many actions from which one might reasonably expect positive changes without knowing upfront, in detail, what exactly those changes are. This is exactly what Bateson was getting at when he wrote about good teachers (or change agents) who are somehow able to create “settings or contexts in which some (usually imperfectly specified) change may occur.”

–x–

In the late 1990s, a group from MIT Media worked on a multi- year project to introduce students in rural Thailand to new learning approaches based on computing technologies. In the early stages of the project, it became evident that standard pedagogical approaches would not work for these students, not because of a lack of ability or intelligence but due a lack of relevance. To address this, the group created a context that would motivate the students to learn. They did this by demonstrating how the technology could help address problems the villagers faced – such as building a dam to store water.

The change in approach made all the difference: once students could relate the new technology to issues that they could relate to, learning came for free.  They called this approach Emergent Design.

When I came across the MIT work about a dozen years ago, I  realised it could be applied to problems of organisational change (indeed, David Cavallo – one of the MIT team – mentions that specifically in his PhD thesis). Since then, I have applied variations of Emergent Design in distinct organisational settings, ranging from multinationals to not for profits and government agencies. Although the broad approach I took was inspired by the MIT work, it gradually took on a life and identity of its own.

I have described my take on Emergent Design in brief in this article and in detail in this book.  However, if I were asked to summarise the key to Emergent Design, I would echo Bateson in saying that it is largely about creating a context in which good stuff can happen.  Doing this successfully requires the change agent to develop a deep understanding of the organisation and the way it works, and then initiating small changes that enable it to evolve in a positive direction.

Evolution is a slow process, but far more likely to succeed than revolution (see this article for an elaboration of this point).

–x–

In a lecture on Intelligence, Experience and Evolution, delivered at the Naropa Institute in 1975, Bateson started with the remark, “what goes on inside is what goes on outside.”  He was referring to the deep analogy between human learning and natural evolution (see Chapter 6 of his book, Mind and Nature, for an elaboration of the analogy). In essence, learning and evolution are processes of change which are context dependent.  Both processes are essentially based on gradual improvement through trial and error, and context plays a key role by constraining  successive iterations of trial and error to move in productive directions.

Bateson’s analogy between what goes on in our heads and on the outside assumes an even greater significance for me when I view my experiences over ten years doing organisational change via Emergent Design through the lens of the ten days I spent learning Vipassana in Blackheath. The key lesson it brought home to me is that true, lasting change – whether at the societal, organisational or personal level – is best achieved through a gradual, evolutionary process which mirrors what goes on both on the inside and the outside.

–x–x–

Written by K

May 19, 2025 at 9:39 pm

On the anticipation of unintended consequences

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A couple of weeks ago I bought an anthology  of short stories entitled, An Exploration of Unintended Consequences, written by a school friend, Ajit Chaudhuri. I started reading and couldn’t stop until I got to the last page a couple of hours later. I’ll get to the book towards the end of this piece, but first, a rather long ramble about some thoughts which have been going around my head since I read it.

–x–

Many (most?) of the projects we undertake, or even the actions we perform, both at work and in our personal lives have unexpected side-effects or results that overshadow their originally intended outcomes. To be clear, unexpected does not necessarily mean adverse – consider, for example, Adam Smith’s invisible hand. However, it is also true – at least at the level of collectives (organisations or states) – that negative outcomes far outnumber positive ones. The reason this happens can be understood from a simple argument based on the notion of entropy – i.e., the fact that disorder is far more likely than order. Anyway, as interesting as that may be, it is tangential to the question I want to address in this post, which is:

Is it possible to plan and act in a way which anticipates, or even encourages, positive unintended consequences?

Let’s deal with the “unintended” bit first. And you may ask: does the question make sense? Surely, if an outcome is unintended, then it is necessarily unanticipated (let alone positive).

But is that really so?  In this paper, Frank DeZwart, suggests it isn’t. In particular,  he notes that, ” if unintended effects are anticipated, they are a different phenomenon as they follow from purposive choice and not, like unanticipated effects, from ignorance, error, or ideological blindness.”

As he puts it, “unanticipated consequences can only be unintended, but unintended consequences can be either anticipated or unanticipated.”

So the question posed earlier makes sense, and the key to answering it lies in understanding the difference between purposive and purposeful choice (or action).

–x–

In a classic paper that heralded the birth of cybernetics, Rosenblueth, Wiener and Bigelow noted that, “the term purposeful is meant to denote that the act or behavior may be interpreted as directed to the attainment of a goal-i.e., to a final condition in which the behaving object reaches a definite correlation in time or in space with respect to another object or event.”

Aside 1: The reader will notice that the definition has a decidedly scientific / engineering flavour. So, it is not surprising that philosophers jumped into the fray, and arguments around finer points of the definition ensued (see this sequence of papers, for example). Although interesting, we’ll ignore the debate as it will take us down a rabbit hole from which there is no return.

Aside 2: Interestingly, the Roseblueth-Wiener-Bigelow paper along with this paper by Warren McCulloch and Walter Pitts laid the foundation for cybernetics. A little known fact is that the McCulloch-Pitts paper articulated the basic ideas behind today’s neural networks and Nobel Prize glory, but that’s another story.

Back to our quest: the Rosenblueth-Wiener definition of purposefulness has two assumptions embedded in it:

a) that the goal is well-defined (else, how will an actor know it has been achieved?), and

b) the actor is aware of the goal (else, how will an actor know what to aim for?)

We’ll come back to these in a bit, but let’s continue with the purposeful / purposive distinction first.

As I noted earlier, the cybernetic distinction between purposefulness and purposiveness led to much debate and discussion. Much of the difference of opinion arises from the ways in which diverse disciplines interpret the term. To avoid stumbling into that rabbit hole, I’ll stick to definitions of purposefulness / purposiveness from systems and management domains.

–x–

The first set of definitions is from a 1971 paper by Russell Ackoff in which he attempts to set out clear definitions of systems thinking concepts for management theorists and professionals.

Here are his definitions for purposive and purposeful systems:

A purposive system is a multi-goal seeking system the different goals of which have a common property. Production of that property is the system’s purpose. These types of systems can pursue different goals, but they do not select the goal to be pursued. The goal is determined by the initiating event. But such a system does choose the means by which to pursue its goals.”

and

A purposeful system is one which can produce the same outcome in different ways…[and] can change its goals under constant conditions – it selects ends as well as means and thus displays will. Human beings are the most familiar examples of such systems.”

Ackoff’s  purpose(!) in making the purposive/purposeful distinction was to clarify the difference  between apparent purpose displayed by machines (computers) which he calls purposiveness, and “true” or willed (or human) purpose which he calls purposefulness. Although this seems like a clear cut distinction, it falls apart on closer inspection. The example Ackoff gives for a purposive system is that of a computer which is programmed to play multiple games – say noughts-and-crosses and checkers. The goal differs depending on which game it plays, but the common property is winning. However, this feels like an  artificial distinction: surely winning is a goal, albeit a higher-order one.

–x–

The second set of definitions, due to Peter Checkland, is taken from this module from an Open University course on managing complexity:

Two forms of behaviour in relation to purpose have also been distinguished. One is purposeful behaviour, which [can be described] as behaviour that is willed – there is thus some sense of voluntary action. The other is purposive behaviour – behaviour to which an observer can attribute purpose. Thus, in the example of the government minister, if I described his purpose as meeting some political imperative, I would be attributing purpose to him and describing purposive behaviour. I might possibly say his intention was to deflect the issue for political reasons. Of course, if I were to talk with him I might find out this was not the case at all. He might have been acting in a purposeful manner which was not evident to me.”

This distinction is  strange because the definitions of the two terms are framed from two different perspectives – that of an actor and that of an observer. Surely, when one makes a distinction, one should do so from a single perspective.

…and yet, there is something in this perspective shift which I’ll come back to in a bit.

–x–

The third set of definitions is from Robert Chia and Robin Holt’s classic, Strategy Without Design: The Silent Efficacy of Indirect Action:

Purposive action is action taken to alleviate ourselves from a negative situation we find ourselves in. In everyday engagements, we might act to distance ourselves from an undesirable situation we face, but this does not imply having a pre-established end goal in mind. It is a moving away from rather than a moving towards that constitutes purposive actions. Purposeful actions, on the other hand, presuppose having a desired and clearly articulated end goal that we aspire towards. It is a product of deliberate intention

Finally, here is a distinction we can work with:

  • Purposive actions are aimed at alleviating negative situations (note, this can be framed in a better way, and I’ll get to that shortly)
  • Purposeful actions are those aimed at achieving a clearly defined goal.

The interesting thing is that the above definition of purposive action is consistent with the two observations I made earlier regarding the original Rosenbluth-Wiener-Bigelow definition of purposeful systems

a) purposive actions have  no well-defined end-state (alleviating a negative situation says nothing about what the end-state will look like). That said, someone observing the situation could attribute purpose to the actor because the behaviour appears to be purposeful (see Checkland’s definition above).

b) as the end-state is undefined, the purposive actor cannot know it. However, this need not stop the actor from envisioning what it ought to look like (and indeed, most purposive actors will). 

In a later paper  Chia, wrote, , “…[complex transformations require] an implicit awareness that the potentiality inherent in a situation can be exploited to one’s advantage without adverse costs in terms of resources. Instead of setting out a goal for our actions, we could try to discern the underlying factors whose inner configuration is favourable to the task at hand and to then allow ourselves to be carried along by the momentum and propensity of things.”

Inspired by this, I think it is appropriate to reframe the Chia-Holt definition more positively, by rephrasing it as follows:

“Purposive action is action which exploits the inherent potential in a situation so as to increase the likelihood of positive outcomes for  those who have a stake in the situation”

The above statement includes the Chia-Holt definition as such an action could be a moving away from a negative situation. However, it could also be an action that comes from recognising an opportunity that would otherwise remain unexploited.

–x–

And now, I can finally answer the question I raised at the start regarding anticipated unintended consequences. In brief:

A purposive action, as I have defined above, is one that invariably leads to anticipated unintended consequences.

Moreover, its consequences are often (usually?) positive, even though the specific outcomes are generally  impossible to articulate at the start.

Purposive action is at the heart of emergent design, which is based on doing things that increase the probability of organisational success, but in an unobtrusive manner which avoids drawing attention. Examples of such low-key actions based on recognising the inherent potential of situations  are available in the Chia-Holt book referenced above and in the book I wrote with Alex Scriven.

I should also point out that since purposive action involves recognising the potential of an unfolding situation, there is necessarily an improvisational aspect to it. Moreover, since this potential is typically latent and not obvious to all stakeholders, the action should be taken in a way that does not change the dynamics of the situation. This is why oblique or indirect actions tend to work better than highly visible, head-on ones. Developing the ability to act in such a manner is more about cultivating a disposition that tolerates ambiguity than learning to follow prescribed rules, models or practices.

–x–

So much for purposive action at the level of collectives. Does it, can it, play a role in our individual lives?

The short answer is: yes it can.  A true story might help clarify:

“I can’t handle failure,” she said. “I’ve always been at the top of my class.”

She was being unduly hard on herself. With little programming experience or background in math, machine learning was always going to be hard going.  “Put that aside for now,” I replied. “Just focus on understanding and working your way through it, one step at a time. In four weeks, you’ll see the difference.”

“OK,” she said, “I’ll try.”

She did not sound convinced but to her credit, that’s exactly what she did. Two months later she completed the course with a distinction.

“You did it!” I said when I met her a few weeks after the grades were announced.

“I did,” she grinned. “Do you want to know what made the difference?”

Yes, I nodded.

“Thanks to your advice, I stopped treating it like a game I had to win,” she said, “and that took the pressure right off.  I then started to enjoy learning.”

–x–

And this, finally, brings me back to the collection of short stories written by my friend Ajit. The stories are about purposive actions taken by individuals and their unintended consequences. Consistent with my discussion above, the specific outcomes in the stories could not have been foreseen by the protagonists (all women, by the way), but one can well  imagine them  thinking that their actions would eventually lead to a better place.

That aside, the book is worth picking up because the author is a brilliant raconteur: his stories are not only entertaining, they also give readers interesting insights into everyday life in rural and urban India. The author’s note at the end gives some background information and further reading for those interested in the contexts and settings of the stories.

I found Ajit’s use of inset stories – tales within tales – brilliant. The anthropologist, Mary Catherine Bateson, once wrote, “an inset story is a standard hypnotic device, a trance induction device … at the most obvious level, if we are told that Scheherazade told a tale of fantasy, we are tempted to believe that she, at least, is real.” Ajit uses this device to great effect.

Finally, to support my claim that the stories are hugely entertaining, here are a couple of direct quotes from the book:

The line “Is there anyone here at this table who, deep down, does not think that her husband is a moron?” had me laughing out loud. My dear wife asked me what’s up.  I told her; she had a good laugh too,  and from the tone of her laughter, it was clear she agreed.

Another one: “…some days I’m the pigeon and some days I’m the statue. It’s just that on the days that I’m the pigeon, I try to remember what it is like to be the statue.  And on the days that I’m the statue, I try not to think.” Great advice, which I’ve passed on to my two boys.

–x–

I called Ajit the other day and spoke to him for the first time in over 40 years; another unintended consequence of reading his book.

–x—x–

Written by K

February 18, 2025 at 5:22 am

The Shot Tower – reflections on surprise and serendipity

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A year on from my walk to the elusive arch, I found myself on another trail in Tasmania with my friend Daniel. This time around, we decided to do a more leisurely walk, with no particular destination or distance in mind. He suggested taking the Alum Cliffs Trail, a moderate grade coastal walk close to Hobart. As expected, there were some spectacular views along the way but the real surprise was the curious structure shown below:

“What’s that?” I asked, pointing at the tower.

“Oh, that’s the shot tower, ” replied Daniel.

That sounded vaguely familiar but I couldn’t be sure. “What’s it for?”

“No idea,” came the reply.

As we got closer, we saw that it was open.

We stepped in.

–x–

Science concerns itself with explanation. However,  although explanations tell us why phenomena or events occur as they do, narratives tell us how they unfold. Both are concerned with sequences of events, but there is a world of difference in their aims – explanations are intended to be conclusive whereas narratives open up new possibilities. As James Carse noted in his book Finite and Infinite Games,

Explanations settle issues, showing that matters must end as they have. Narratives raise issues, showing that matters do not end as they must but as they do. Explanation sets the need for further inquiry aside; narrative invites us to rethink what we thought we knew.”

If this is true, then science is [or ought to be] more about crafting narratives that provoke questions than finding explanations that resolve them. One of the dirty secrets of science is that no one really knows where good hypotheses come from. When asked, great scientists offer responses like the one below:

The supreme task of the physicist is to arrive at those universal elementary laws from which the cosmos can be built up by pure deduction. There is no logical path to these laws; only intuition, resting on sympathetic understanding of experience, can reach them.” 

These lines are from a 1918 lecture by Einstein.

–x–

Stepping into the shot tower was a step back in time, to thirty years ago when I had just started a PhD in Chemical Engineering. 

Given my math and physics background, I gravitated towards the mathematically-oriented field of  fluid dynamics, but I had a lot of reading and learning to do. I spent a few months trying to define a decent research problem but made little progress.

After about a year my supervisor decided to push. He suggested that I work on a practical problem linked to his consulting work. It had to do with improving a shot-making process for a mining company. Incidentally, shot is a term used to refer to spherical metal pellets.

In the 18th and 19th centuries, shot was commonly used as ammunition in various firearms. Ideally, shot pellets should be perfectly spherical. The key problem faced by shot-makers in the 18th century was the design of a manufacturing process that would enable the production of shot of acceptable quality (uniform size and sphericity) at scale.

William Watts solved this problem in the late 18th century using an ingenious idea: let uniformly sized drops of molten metal to free-fall from a height. While falling they will tend to form spheres due to the effect of surface tension (the force that the interior metal atoms exert on the surface atoms). Why spheres? Answer: because the most energetically favourable shape for a metal drop of a fixed volume is one that minimizes the surface area, and the 3d shape that has the smallest surface area for a given volume is a sphere.

This reasoning is what led Watts to add a three storey tower to his own house in the 1780s and start producing shot from his home factory.

–x–

As we made our way up the tower, the kids started asking questions.

“Why is there  big bucket down there? Asked one, peering down the central shaft as we made our way up the narrow spiral stairway.

“What’s with the stove at the top – it’s a terrible place for a kitchen? Asked the other when we got to the top.

I was surprised at how their questions and observations reminded  me of what I once knew well but had since forgotten:

Molten lead would be dropped from the top of the tower. Like most liquids, surface tension makes drops of molten lead become near-spherical as they fall. When the tower is high enough, the lead droplets will solidify during the fall and thus retain their spherical form. Water is usually placed at the bottom of the tower, cooling the lead immediately upon landing.”  – from the Wikipedia article on shot

And so on. There are several engineering challenges around ensuring uniform drop sizes. For example, as the shot size increases, the drops of molten metal needs to be released from a greater height. 

On our way out, we spent some time browsing the photographs and artefacts in the small museum at the base of the tower. I launched into an impromptu lecture on the physics of jet breakup, again surprised at how much I could recall.

“Interesting,” said Daniel politely, “so is this what your Phd was about? Shot-making?”

“No,” I said, “I ended up working on another related problem, and that’s another story.”

And as I said that, I realised the unforeseen and unplanned turn my research took thirty odd years ago was not so different from what had happened on  our walk that day.

–x–

One October evening 1995, about a year into my shot-making project, I was washing up after dinner when I noticed a curious wave-like structure on the thin jet that emerged from the kitchen sink tap and fell onto a plate an inch or two below the tap (the dishes had piled up that day). The wave pattern was stationary and rather striking.

The phenomenon is one that countless folks have seen. Indeed, I had noticed it before but never paid it much attention until that October evening when I saw the phenomenon with new eyes.  Being familiar with the physics of jet breakup, I realised, at once, that the pattern had the same underlying cause. Wondering if anyone had published papers on it, I dashed off to the library to do a literature search (Google Scholar and decent search engines were still a few years away). Within a few hours I knew I’d stumbled on a phenomenon that would change the direction of my research.

The next day, I told my supervisor about it. He was just as excited about it as I was and was more than happy for me to switch topics. I worked feverishly on the problem and within a few months had a theory that related the wavelength of the waves to jet velocity and properties of the fluid.  The work was not a major innovation, but it was novel enough to get me a degree and a couple of papers.

–x–

Here’s the thing, though. I came upon the phenomenon by accident. There was nothing planned about it, neither was there anything in my training that prepared me for it.

Much is made of the importance of having well-defined goals, both in scientific research and business. You know the spiel: without goals there can be no plans; to map out a route, you must know the destination etc.   

However, it is all too easy to become fixated on achieving goals or arriving at a destination to the point where one ceases to pay attention to the journey. Much of the fun and learning is not in reaching one’s goal but in the events and encounters along the way. If we’d been fixated on the walk, we might have missed the opportunity to explore the tower.

As they say, it is the journey that matters, not the destination. Carse put it beautifully when he wrote,

Copernicus was a traveler who…[dared] to look again at all that is familiar in the hope of vision. What we hear in this account is the ancient saga of the solitary wanderer… who risks anything for the sake of surprise. True, at a certain point he stopped to look and may have ended his journey…But what resounds most deeply in the life of Copernicus is the journey that made knowledge possible and not the knowledge that made the journey successful.”

A journey that seeks surprise necessarily involves taking paths to destinations unknown in preference to those that have been mapped out clearly. Our visit to the shot tower was not planned- indeed, I didn’t even know of its existence before that morning – but the half hour we spent there is what made our walk interesting and memorable.

–x–

A final word before I go, once again prompted by Carse:

To be prepared against surprise is to be trained. To be prepared for surprise is to be educated. Education discovers an increasing richness in the past, because it sees what is unfinished there. Training regards the past as finished and the future as to be finished. Education leads toward a continuing self-discovery; training leads toward a final self-definition. Training repeats a completed past in the future. Education continues an unfinished past into the future.”

If Carse is right – and I think he is – our education system is all about training, not education. The many years I spent at universities taught me skills I could use to solve problems that were given to me, but not how to look at the world in wonder and find  problems of my own. It was only towards the end of my time in university that I learnt the latter, and the irony is that I did so serendipitously.

–x–x–

Written by K

December 3, 2024 at 5:19 am