Temporal Integral in the Voigtian Field Trend Estimation without Deterministic Forecasting

This work introduces the Temporal Integral in the Voigtian Field as a mechanism for trend estimation based on the coherent accumulation of past system states. Rather than predicting discrete future events, the Temporal Integral provides a weak future signal that reflects the directional tendency of system evolution under stable regimes. The formulation explicitly distinguishes temporal integration from deterministic forecasting and discusses its operational meaning, valid temporal windows, and interpretative limits. This publication is part of the Voigtian Field framework and builds upon the foundational work registered under DOI: 10.5281/zenodo.18188229.