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February 14, 20260 citationsOpen Access

The Unified Projection Framework (UPF)

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BRBrian Rieckmann

Key Points

  • The goal is to expand the Unified Primitive Theory by incorporating additional projection modes without changing existing structures.
  • Defines a single primitive object and invariant decomposition.
  • Establishes classical projection modes and a torsion relation governing domain interactions.
  • Introduces gauge and quantum modes to the existing projection system.
  • Establishes six projection modes generating all physical regimes from one source.
  • Recovers the classical gravitational and gauge regimes, along with quantum and Standard Model regimes.
  • Demonstrates that no external structures or additional primitives are needed for the framework.

Abstract

The Unified Projection Framework extends the projection structure defined in Unified Primitive Theory. UPT establishes a single primitive object, a single invariant decomposition, a set of classical projection modes, and a single torsion relation that governs domain interaction. These structures form a closed classical system that generates mass, energy, curvature, and gravitation from one source. The Unified Projection Framework introduces two additional projection modes. The gauge mode assigns gauge structure to the primitive. The quantum mode assigns quantum structure to the primitive. The extended projection system contains six modes that generate the full set of physical regimes from one source without external structures. The framework recovers the classical gravitational regime, the gauge regime, the quantum regime, and the Standard Model regime as structural projections. Each regime is generated by the projection system and the torsion relation. No external primitives are introduced. No external symmetry groups are required. No external quantization rules are required. The Unified Projection Framework is part of Unified Primitive Theory. The extension preserves the identity of UPT. The primitive object, the invariant decomposition, the classical projection modes, and the torsion relation remain unchanged. The gauge mode and the quantum mode complete the projection structure required for a unified physical description.

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Cite This Study

Brian Rieckmann (2026) studied this question.

synapsesocial.com/papers/699011712ccff479cfe5816chttps://doi.org/10.5281/zenodo.18616187
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Unified Primitive Theory (UPT)2026
  2. 2PFUS Universal Systematic Meta-Theory: Global Unified Framework of Pythagorean Frustum Ontology and Double-Cone Model System2026
  3. 3Isomorphism Between PFUS and Unitary Group / Unitary Transformation and Proof of Quantum Unity2026
  4. 4Photon-Based Unified Field Framework of PFUS System2026
  5. 5Photon-Based Unified Field Framework of PFUS System2026