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What if we measured societal impact the way physicists measure impact force?

I was working on the broader impacts sections of annual reports and proposals to NSF for one of my clients when it occurred to me that I didn't have much to add beyond:

We hosted an event on [date], and an estimated [number] people attended.

While these events were spectacular to experience, I had no clear, concise way to communicate "this is how impactful the experience was."

It got me wondering... if I had to break down societal impacts into a set of fundamental units that are directionally proportional to each other, what would the equation look like?

A comparison chart showing eight physics concepts on the left (mass, distance, time, velocity, acceleration, force, momentum, work) mapped to their corresponding societal impact equivalents on the right (scale, depth, duration, change rate, scale rate, impact, sustainability, efficiency), with mathematical formulas in the center connecting each pair.
The SDD Framework: Developed for STEM researchers seeking evidence-based program optimization and meaningful cross-initiative comparisons. Combines quantitative rigor with cultural responsiveness—perfect for NSF broader impacts, outreach evaluation, and education research.

The larger the object and the faster it is moving, the deeper the dent it creates. Similarly, when a broader impact initiative engages a large number of people (scale/mass) who undergo rapid transformation (velocity of change), the depth of societal impact follows the same fundamental relationship.

The SDD (Scale, Depth, Duration) Framework is about how many people you reach, how deeply you transform them, and how sustainably you do so. By mapping familiar physics concepts (mass, distance, and time) onto social impact dimensions, we obtain metrics such as velocity (rate of change), momentum (program sustainability), and force (transformative power) that make intuitive sense to STEM professionals.

Broader Impacts Evaluation: A Physics-Inspired Framework for STEM Impact
The physics-inspired measurement SDD framework maps mass to scale, distance to depth, and time to duration, using classical mechanics to quantify the impact of broader impacts initiatives in STEM.

Here's a citable DOI for the pre-print published in the Journal of Science with Impact.

I won't pretend this approach is perfect—social systems are more complex than mechanical ones, and quantifying human transformation requires careful attention to cultural context and community voice.


I recommend pairing an SDD Impact Statement with a short story that highlights the humanity of the work:

The [initiative] engaged [Scale] participants over [Duration], achieving [Depth = X% improvement/change] in [specific outcome measure].
[Insert meaningful experience, quote, or feedback from a real person impacted by the initiative]

The framework works best when combined with rich qualitative storytelling, not as a replacement for it.


The SDD Framework could provide:

  1. Evidence-based program optimization
  2. Meaningful cross-initiative comparisons
  3. Strategic resource allocation decisions

Along with a common language, the STEM impact community can use to build knowledge systematically, rather than starting from scratch with each new initiative.

In the future, every case study we publish at Science with Impact will demonstrate the SDD Framework in action, illustrating how real programs utilize these metrics to understand their impact, refine their approaches, and tell more compelling stories about their societal contributions.

Throughout, I welcome ALLLLL the feedback as I intend to turn a series of case studies into a book.

What do you think? Do you find the framing useful? Any concerns?
🧪 Helping Research Centers Transform Scientific Achievements into Measurable Societal Value 🌎