Deterministic Information Restoration in Calculus
Abstract
This paper extends the Pillar Derivative () framework by introducing the **Pillar Integral ()**, a deterministic mechanism for restoring potential information into objective reality. Traditional calculus relies on the vanishing limit (), which results in intrinsic information loss and numerical divergence at singularities. By utilizing a symmetric complex displacement as a structural constant , the Pillar framework preserves the causal data of a system even at classical singularities.
Fields of Study & Subjects
Mathematical and Theoretical Analysis
Mathematical and Computational Methods
Advanced Mathematical Theories
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 17 February 2026
- Language
- EN
- Document type
- Preprint