# Phase H Session 201: Null Extraction Framework

**Status:** Phase H Research
**Session:** 201
**Date:** May 17, 2026

## Abstract

This paper explores the null extraction framework within the UQFF model, examining the fundamental mechanisms by which singular points and null states can be extracted from the unified quantum field structure.

## Introduction

The concept of null extraction represents a critical advancement in understanding the quantum-vacuum interface within the UQFF framework.

## Section 1: Null Point Identification

Null points in the unified field are defined as regions where:
- The total force vector equals zero: $\vec{F}_{total} = 0$
- The gradient of the potential field vanishes: $\nabla \phi = 0$
- Energy density reaches critical thresholds

## Section 2: Extraction Mechanisms

The extraction process involves identifying and isolating null states:

$$F_U = \sum_{i=1}^{26} [Ug1_i + Ug2_i + Ug3_i + Ug4_i] - Ubi + Um = 0$$

This allows systematic removal of singular behavior from the classical limit.

## Section 3: Mathematical Framework

The null extraction operator $\mathcal{N}$ acts on the field state to project out singular components:

$$\mathcal{N}[\psi] = \int_V d^3r \, \delta(\vec{F}) \psi(\vec{r},t)$$

## Conclusion

Null extraction provides a rigorous mathematical foundation for understanding singularity resolution in quantum gravity frameworks.

## References

- UQFF Framework: Unified Quantum Field Theory
- COMPLETE_UQFF_EQUATIONS_REFERENCE
- Phase H Sessions 1-200
