Christopher Hill / An open research question

What shapes
what happens
next?

A system has a shape. Energy moves through it. Its past can affect its next response.

NetPhysics is exploring whether these relationships can form a common predictive framework across different physical systems.

A developing research program founded by Christopher Hill.

THE QUESTION, IN MOTION

Shape sets the possibilities.

Scripted conceptual illustration. No measured data or validated physical simulation. Select a chapter to pause and inspect it.

01 / The connecting idea

Three ideas.
One question.

Can geometry, energy and retained history help us predict different systems within a useful common framework? The aim is to discover which connections survive a careful test.

01 / GEOMETRYConceptual geometry diagram

What does the shape allow?

Boundaries and arrangement help determine how a system can respond. Start by identifying what changes when its geometry changes.

02 / ENERGYConceptual energy diagram

How does the response unfold?

Specify what enters the system, where it is transferred or dissipated, and what can actually be measured.

03 / PHYSICAL MEMORYConceptual physical memory diagram

What does the past change?

A retained physical state can affect a later response. Identify that state and compare it with conventional explanations.

02 / From an idea to a prediction

Follow what
changes next.

The same visual language follows the whole question: change the boundary, apply an input, retain a state, and ask what a model predicts about the next response.

24 seconds · Silent explanatory film · Scripted illustrationDownload the film ↗
Read the film’s visual description
  1. Shape: the boundary of a drawn system changes length. The question is which responses its geometry permits.
  2. Input: orange markers move through the illustrated system. They represent an imposed input and a response, not measured energy flow.
  3. History: the input stops and a teal trace remains, illustrating a retained physical state.
  4. Prediction: another input arrives. Two scripted curves compare a reference with a changed response. A real test needs calibrated equations and observations.

The film illustrates the research question. It does not solve a constitutive model, depict experimental equipment or establish a shared law.

03 / Why pursue it?

Understanding that
could become useful.

If a proposed connection makes reliable predictions, it could help us design systems whose behavior we can anticipate. These are long-term directions for the research.

01

Materials with a controlled response.

Understand how loading history affects later behavior, then ask whether that response can be predicted and deliberately used.

02

Structures tuned for a purpose.

Connect geometric choices with resonance and response, so a design starts with a prediction that can be checked.

03

Models that travel further.

Test whether a precisely defined relationship transfers to another system, with clear boundaries on where it works.

04 / A research direction by Christopher Hill

Look for the connection.
Make it answerable.

Read the proposed framework →

NetPhysics gives a larger question a concrete research home: could these relationships reveal a deeper organization of physical behavior?

The next step is specific. Write down a model, identify a meaningful alternative, and predict something that observations can settle.

Geometry and physical memory already have extensive scientific histories. Our contribution has to come from the particular connections we propose and the predictive value they demonstrate.

Meet Christopher Hill →
05 / The investigation today

A question becomes
a body of evidence.

Follow the actual work: a measured-data analysis, a source-parameter audit and a proposed new-specimen test. Each answers a different part of the question.

Measured data / retrospective

Does one relationship predict across body sizes?

A 573-species mammal analysis tests scaling alternatives. The proposed 10 kg hinge does not improve the primary held-out prediction. That result is part of the story.

Inspect the result →
Source calculation / conditional

Can a model reproduce a later response?

Published memristor parameters support a scoped pulse comparison. Differences and unresolved source specifications remain visible.

Follow the audit →
Proposed experiment / not run

Can we predict a new specimen?

Calibrate a candidate and credible rivals, freeze their predictions, then compare them on independent elastomer specimens. Physical calibration and data collection remain ahead.

See the next test →
06 / Take the next step

Help turn a connection
into a prediction.

Explore the idea, run a model, or bring a result that changes our understanding. The research grows through questions that become precise enough to test.

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New / A material case study

What changes when
you look inside?

A crystal’s hidden structure turns a broad idea into a concrete question. Explore published evidence, change a model’s geometry and put predictions to the test.

Conceptual crystal cutaway showing broad internal boundary regions