This page summarizes the key differences between Constructive Tensor Theory (CTT) and various established frameworks in physics, mathematics, and philosophy. A downloadable PDF report is available below.
| Framework | Core Idea | CTT Distinction |
|---|---|---|
| General Relativity (GR) | Curved spacetime geometry governed by Einstein field equations | CTT replaces metric-based geometry with pullback-based observation structures |
| Constructive Mathematics | Rejects non-constructive existence proofs; emphasizes computability | CTT applies constructive philosophy to tensorial geometric structures and observation frames |
| Category-Theoretic Physics | Uses morphisms and objects to describe physical systems abstractly | CTT anchors physical description directly in observation-based manifold pullbacks |
| Topos Theory | Logical foundation for mathematical universes | CTT constructs tensorial frameworks directly from observational layering, not logic axioms |
| Symbolic AI / Embodied Cognition | Attempts to ground meaning in sensory-motor context | CTT provides a mathematical model of meaning construction via observer tensor hierarchy |
Constructive Tensor Theory and Comparison with Existing Theories (PDF)