Combinatorial Time-Series Measurements
A deformation in a time-series can be measured at each time-stamp scientifically and exactly, as the perpendicular displacement energy from mechanics as defined by the science-of-counting. Energy stored in the deformation (heat) can be later released to our benefit or detriment.
For living organisms with volition—internal ‘self’ energies are measured in the same way, as the perpendicular displacement energy from (statistical) mechanics. Group feelings (passions and desires) when measured and directed help to achieve group goals tied to a purpose.
Counting is a self-sufficient, pure and exact human act that precedes the introduction of subject and object (mechanics), judgement, or the separation of knowledge, feelings and will. Counting in time-series shows that our operating environment is integral (no subject-object split), so that every action has an immediate reaction that again can help or hinder us.
The science-of-counting and historical time-series line up perfectly to define a specific geometry, a principle fiber bundle with connection and curvature. With seasonality added, the geometry and dynamics is easy to draw as the surface of a cylinder (soda can, see below). The geometry generates an analytical understanding of the impact of decisions, before the decisions are taken. We demonstrate next.
Science of Counting for Decision Support
Start with repeated decisions, regular in time, to support a goal. For example, how money is spent operationally every week to support Consumer Product Good (CPG) sales which are seasonal in practice. We plot below the units sold every week (counting time-series, black curve), the running mean (green dashed), and the thermodynamically optimal solution (red curve) that gets the best results for the least energy ($).
Weekly Sales for a CPG from 2018-2022 (MM/10)
In the science-of-counting, causality and forecasting are lost when energy enters or exits the system. This insight shifts the analytical focus from prediction to adaptive decision making—emphasizing control and responsiveness to changes in energy.