Navigating Creativity Through the Complex Plane
A framework for balancing imagination and action — borrowed from electrical engineering.
Ever find yourself endlessly dreaming without action, or grinding through disciplined routines without inspiration? I've been on both sides. For years I lived on the horizontal axis — shipping products, hitting KPIs, measuring everything. Then I swung hard in the other direction, spending months imagining songs and projects without finishing any of them. Neither extreme felt right.
It wasn't until I dusted off a concept from my electrical engineering days that I found a framework that actually made sense of the tension. That concept? Complex numbers.
The Two Axes
When I was studying electrical engineering in college, complex numbers — the combination of real and imaginary parts — seemed incredibly important. Honestly, though, throughout my entire career as an electrical engineer, I never used them once. Go figure.
But as a metaphor for creativity, they're perfect.
The real axis is horizontal. It represents tangible actions and measurable results — writing songs, launching a business, maintaining consistent habits. The things you can point to and say, "I did that." The pitfall of living only on this axis is burnout. You grind and grind, but without a sense of purpose or vision, the work starts to feel empty.
The imaginary axis is vertical. It represents the intangible forces that guide us — creative visions, intuitive insights, personal dreams. The song you hear in your head before it exists. The business concept you can visualize but haven't built yet. The pitfall here is different: you stay stuck in imagination. Endless scrolling, daydreaming, saying "I'll write someday" but never starting.
Engineers use complex numbers to decode signals by combining tangible measurements with intangible phase relationships. Creativity works the same way. The real part is what you produce. The imaginary part is why it matters. You need both.
Digital Tools as a Compass
Here's where our modern moment gets interesting. Digital tools — AI included — can function as a compass between these two axes. But like any compass, they only work if you're actually moving.
Used mindlessly, digital consumption traps you on the imaginary axis. Endless TikTok scrolling feels like creative engagement, but it's consumption without action — pure vertical motion that never touches the ground. You absorb inspiration after inspiration without converting any of it into something real.
Used intentionally, though, these same tools can bridge the gap. I've watched an 8-year-old use Claude AI to build games and websites, turning pure imagination into tangible results in an afternoon. That's the power of conscious engagement — using technology to clarify your vision and translate it into action steps.
Think of it like diet. Digital consumption parallels nutrition — quality, quantity, and intent determine its impact. A curated feed of educational and inspiring content empowers you to take meaningful real-world action. An uncurated firehose of content leaves you overstimulated and paralyzed.
Calibrating Your Creative Phase
In electrical engineering, the "phase" of a signal describes its position relative to the real and imaginary axes. Your creative phase works the same way. It's your internal compass — the intuitive sense of direction aligned with your personal values, creative passions, and meaningful goals.
The most fulfilling creative work happens when you consciously balance both axes. Imagination without action is fantasy. Action without imagination is labor. But when you align the two — when you let your vision guide your hands — you create something that matters to you and resonates with others.
This is where AI becomes genuinely useful. Not as a replacement for either axis, but as a calibration tool. I use AI to structure goals clearly when my vision is fuzzy. I use it to generate visual references when I can feel a concept but can't quite see it. I use it to break down an ambitious idea into concrete next steps when the gap between imagination and reality feels too wide to cross.
The result isn't that AI does the creative work for me. It's that AI helps me stay in motion across both axes simultaneously — dreaming and doing at the same time.
Embracing Complexity
Neither pure imagination nor isolated action alone achieves deep, lasting fulfillment. True creativity emerges from consciously navigating both together. The complex plane isn't just a math concept — it's a map for living a creative life.
Here's a practical way to test this: identify three dreams that exist solely in your imagination. For each one, write down one small, immediate step to move it into reality today. Not a grand plan. Not a five-year roadmap. Just one step that touches the real axis.
Real productivity isn't flashy LinkedIn trends or buzzwords. It's the quiet, effective process of using every tool at your disposal — AI included — to clarify your vision, inspire concrete action, and convert the things you imagine into things that exist.
The math I never used in my engineering career turned out to be the most useful framework I've found for making art. Sometimes the imaginary part is the most real thing about you.