Concept study / Geometry & physicsConceptual illustration. Shapes, colors, and motion are not measured data.
Hill’s project asks whether something persists as physical systems transform. That question becomes clearer when energy is distinguished from momentum, force and information. Energy is a quantity assigned to a physical state relative to a specified description or observer; momentum carries directional information; force describes momentum transfer. Equal energy does not imply equal physical states. Two light beams can have the same energy and different directions, frequencies or polarization patterns. Those distinctions make room for meaningful questions about retained information without assigning an unspecified personal history to energy itself.
Direction belongs to transport
In electromagnetism, the Poynting vector describes energy transport and the field also carries momentum. A stationary configuration can contain field energy without a net outgoing flux. Consequently, matter having energy does not imply that it emits a visible force or a directional signal. The public theory should define a detector observable rather than rely on how a pattern appears. For example, optical intensity, force on a calibrated sensor and temperature change are different measurements with different response functions and backgrounds.
Conservation needs a boundary and a frame
In special relativity, energy and momentum form a four-vector whose components depend on the observer’s frame. For a closed system in the appropriate setting, total four-momentum is conserved. General relativity adds subtleties: local covariant conservation does not always provide a unique global energy for an expanding universe. Hill’s framework should state which setting is being used. A laboratory energy budget can be precise without pretending that the same bookkeeping extends unchanged to an arbitrary proposed cosmological hierarchy.
Separate state information from a scalar total
A promising project question is whether a measured state variable carries predictive information about earlier interactions after ordinary variables are controlled. Energy alone is generally too coarse: many different configurations share the same total. A proposed experiment should encode two histories, match their final energy and other accessible controls, and test whether a specified observable still differs. Such a result would identify memory in physical degrees of freedom. It would not establish that energy is an independent substance that remembers everything it has been.
The mathematical lens
For a single particle or a system’s total four-momentum in special relativity, invariant mass m relates energy E and momentum magnitude p. Force and information are not interchangeable with E.
Turn it into a question.
- Question
- Does history predict an observable after energy and relevant state variables are matched?
- Method
- Prepare matched-energy states with distinct controlled histories; measure a preregistered response and known confounders.
- What would count against it?
- The history effect disappears when the actual physical state and environment are controlled.
Energy describes an aspect of a state; a memory claim must identify the degrees of freedom that store information.
Follow the original work.
These sources support the mechanisms and limits discussed here. They do not endorse Hill’s framework. Notes distinguish research proposals, reviews, and observations.
Continue the investigation
Edition 02 · 18 October 2026 · AI-assisted synthesis. See editorial method.