I’m a sucker for all things Mythbusters and analogies. Indulge me for a moment.
What Is the Brachistochrone Curve?
The brachistochrone curve (from the Greek for “shortest time”) is the path of fastest descent under gravity between two points at different heights. Counterintuitively, that fastest path is not a straight line. It is a curved track, specifically a cycloid, that initially dips steeply before rising to meet the end point.
By dropping more sharply at the start, an object on this curve gains speed quickly, allowing it to reach the finish faster than it would on a direct straight slope. The brachistochrone takes a longer route and still arrives sooner because the early steep descent builds momentum. This problem was famously solved in the 17th century and demonstrated a truth that still unsettles our intuition today. Sometimes the quickest path is not the straightest one.
Deep Work Before Growth: A Personal Brachistochrone
Just as the brachistochrone’s initial downward plunge is essential for a faster journey, we often see a similar pattern in life. An initial descent into difficulty can lay the groundwork for faster growth and recovery later.
After a divorce or another major loss, many people experience a sharp dip in emotional well-being. Sadness, anger, and confusion surface all at once. It can feel as if life is going downhill in a very real way. Yet the “inner work” that happens in this season often serves the same purpose as the curve’s steep drop. It creates the conditions for later movement.
Psychological research supports this. Confronting pain and working through it can lead to positive changes known as post-traumatic growth. Life disruptions have the power to shake entrenched beliefs and force us to examine long-held assumptions about ourselves, our relationships, and the world. When people face the hurt directly and make meaning of what happened, the result is often a significant shift in perspective that opens the door to growth.
“Life crises are seismic events. They have the power to shake the entrenched beliefs people hold and force them to think in completely new ways about themselves, their relationships, and the world. Confronting a traumatic event and trying to make sense of it can therefore lead to powerful shifts in thinking.”
Importantly, this growth does not happen in the middle of the free fall. It happens in the reflective work that follows. Once the initial turmoil settles, processing the experience becomes essential. Therapists note that it is nearly impossible to evolve in the middle of a crisis, but the reflection that comes afterward provides the foundation for change.
In practical terms, this means deliberately engaging in what might be called deep personal work during the post-divorce season. Instead of avoiding pain, a person allows themselves to feel and process difficult emotions such as grief, guilt, and fear. Psychologists recognize this as healthy coping because allowing emotions to run their course supports long-term healing. This emotional processing mirrors the brachistochrone’s downward segment. It can feel disorienting and heavy, yet it is precisely what builds momentum for later transformation.
As Mark Manson has written, when we grapple with challenges we believe we can overcome, those struggles can eventually lead to meaning and a deeper sense of accomplishment. The hard work of facing your feelings now often becomes the source of energy that moves your life forward later.
From Descent to Ascent: The Early Work of Rebuilding
In therapy and in coaching, including my 1:1 framework, this early “descent” typically involves several layers of deep work before meaningful outward change appears.
- Processing Feelings This begins with fully acknowledging and working through the emotions connected to the divorce. Grief, anger, betrayal, relief, shame, and fear all tend to arrive together. Rather than bypassing these feelings, people learn to sit with them, understand their patterns, and allow them to move through. This process can feel like things are getting heavier before they get lighter. Much like the curve itself, the early drop is doing necessary work even when progress is not obvious.
- Naming Core Beliefs Divorce often exposes the beliefs we hold about ourselves and about relationships. Ideas such as “I’m not worthy of love” or “I failed, so I am a failure” surface quickly when a life structure collapses. Bringing these beliefs into the open allows them to be examined rather than silently obeyed. By naming and questioning them, people gain the ability to revise the stories that quietly dictate their decisions. This adjustment of internal direction is what eventually redirects the larger trajectory of life.
- Discovering Purpose and Values Deep work also involves redefining purpose, values, and direction. When the life you expected dissolves, a new set of questions naturally appears. What actually matters to me now? What kind of life do I want to build from here? Many people find that adversity clarifies their priorities in lasting ways. Relationships deepen. Values sharpen. Purpose becomes more intentional.
Within the Adventure-10 framework, this may look like choosing a meaningful accomplishment or direction that reflects who a person is becoming, not who they were trying to be. This stage mirrors the lowest point of the curve, the place where stored momentum begins to carry forward into movement. The outward changes that follow often appear to happen quickly, yet they draw on months of quiet internal work.
Rapid Growth: Rising Stronger and Faster
Time invested in this initial downward phase of healing and self-discovery often leads to faster forward growth socially, emotionally, and personally. This is not merely a hopeful idea. Studies on post-divorce adjustment consistently show that many people report positive change over time, including increased resilience, self-esteem, and life satisfaction, especially when they actively engage in meaning-making after the loss.
Post-traumatic growth does not deny distress, but grows alongside it. Pain and progress coexist for longer than most people expect. The brachistochrone offers a helpful parallel here. The ride is neither smooth nor easy. The descent is intense. Still, it is what allows for a faster and more stable rise later.
Many people describe feeling propelled into an unexpected new chapter of life after doing this work. Not because the suffering was desirable, but because it reshaped their identity, values, and direction in lasting ways. The strength that emerges was built during the descent.
Sum it up, man…
The brachistochrone curve offers a useful metaphor for rebuilding after divorce. Sometimes the fastest way toward the life you want involves an initial dive into the work you hoped to avoid. By processing your emotions, examining your core beliefs, and clarifying your purpose, you create the conditions for genuine momentum.
The descent may feel slow, uncomfortable, and unproductive. In reality, it is shaping the curve that carries you forward.
If you’d like to know more about creating the upward trajectory portion of the curve, join me on January 3 for a 4- hour workshop on creating your own vision. I’d love to see you there!
