What this framework proposes.
Christopher Hill’s research questions connect geometry, retained physical information and relationships across scales. The larger proposal remains unverified.
A proposal needs a distinguishable prediction
The project asks whether geometric relationships and retained physical states can be described in a useful common framework across selected systems. It explores Alpha 1 as a hypothetical extension beyond the observable-universe view. The present oscillator is a deliberately chosen, bounded model. Its form is not established as novel, universal, or a derivation of the wider proposal.
A connection between topics is a research direction. Scientific progress requires a defined prediction that a serious competing explanation does not already provide.
Background → proposal → discriminating test
| Conventional account | Proposed extension | Distinguishing test |
|---|---|---|
| Boundaries and geometry affect modes and interactions. | A broader organizing role for geometric relationships. | A quantitative response outside uncertainty in the best conventional model, with controls. |
| Material states, hysteresis and relaxation retain effects of past inputs. | A common framework for retained states and later behavior. | Held-out predictions and an identifiable physical state compared with appropriate relaxation models. |
| Scale invariance and universality occur in specified regimes. | Relationships may transfer between selected different systems. | A fixed dimensionless mapping that predicts untouched systems and states its failures. |
| The observable universe is modeled without treating its horizon as a physical edge. | Alpha 1 as a hypothetical containing or connected system. | Dynamics and an observable signal not degenerate with conventional cosmology. Neither is supplied yet. |
| Biological memory depends on physical organization. | Questions about information, transformation and conscious experience. | An operational variable and discriminating experiment. No claim that energy alone stores personal memories. |
What the present model demonstrates
Central model v0.2 includes a scalar state m recording a fading influence of squared input. The chosen law changes stiffness and damping, so the same later forcing can produce a different trajectory. During rest the state decays exponentially. These outcomes follow from selected equations; they do not establish new physics.
A claim can become narrower
Failure should change a model or its scope. Negative results and conventional explanations are welcome. Claim-specific citations remain on the model and evidence pages; citation does not imply the source authors endorse NetPhysics.