https://github.com/neil-crago/gen_field
The Generator Field is a deterministic, geometric field theory that replaces the probabilistic vacuum of quantum field theory with a continuous elastic tensor field
https://github.com/neil-crago/gen_field
deterministic-systems generator-function shrodinger wavefunction
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The Generator Field is a deterministic, geometric field theory that replaces the probabilistic vacuum of quantum field theory with a continuous elastic tensor field
- Host: GitHub
- URL: https://github.com/neil-crago/gen_field
- Owner: Neil-Crago
- License: mit
- Created: 2026-05-20T07:53:34.000Z (about 1 month ago)
- Default Branch: main
- Last Pushed: 2026-05-20T08:59:40.000Z (about 1 month ago)
- Last Synced: 2026-05-20T12:50:10.993Z (about 1 month ago)
- Topics: deterministic-systems, generator-function, shrodinger, wavefunction
- Homepage:
- Size: 357 KB
- Stars: 0
- Watchers: 0
- Forks: 0
- Open Issues: 0
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Metadata Files:
- Readme: readme.md
- License: LICENSE-MIT
- Citation: CITATION.cff
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README
[](https://doi.org/10.5281/zenodo.20305180)
This repository contains the source files, manuscript, and supplemental materials for:
# The Generator Field
*A Deterministic Tensor-Field Framework for Quantum Phase Evolution and State Finalization*
**Author:** Neil Crago
**Affiliation:** SpaceTCO
**Date:** May 20, 2026
---
## Overview
The **Generator Field** is a deterministic, geometric field theory that replaces the probabilistic vacuum of quantum field theory with a continuous elastic tensor field.
Its local deformations encode:
- **Geometric tension**
- **Grid-efficiency gradients**
- **Geometric-phase density**
These correspond to the triadic state vector:
$$S(A) = (T_{\mathrm{total}}, E_{\mathrm{grid}}, \phi_{\mathrm{geom}})$$
The Generator Field provides a unified, deterministic substrate for:
- Electromagnetism
- Weak interactions
- Strong interactions
- Gravity
- Quantum measurement
- Non-local correlations
- Cosmological evolution
All without invoking virtual particles, stochastic collapse, or renormalization.
---
## Key Concepts
### **Prime-Sector Topology (M46 Manifold)**
Vacuum structure is defined by **12 discrete prime-indexed minima**.
Fractional phase states correspond to elastic tensor defects that relax deterministically to the nearest prime anchor.
### **Proximity-Snap Potential**
A piecewise-quadratic potential enforcing deterministic collapse:
$$Q_{\mathrm{snap}} = K_{TCO}\,\Delta\phi$$
with the universal constant:
$$K_{TCO} = \frac{m_H}{60} = 15.6464\ \text{MeV}$$
### **Tensor-Strain Dynamics**
All excitations—particles, fields, correlations—are manifestations of:
- Tension modes
- Torsional modes
- Shear modes
Fractional phase states are localized elastic distortions.
### **Deterministic Collapse**
Collapse is not probabilistic.
It is a **gradient-flow relaxation** into the nearest prime-sector minimum, with finite collapse time:
$$\tau_{\mathrm{snap}} = \frac{1}{\gamma K_{TCO}}$$
### **Unified Interactions**
- **Electromagnetism:** torsional modes
- **Weak force:** shear-dominated transitions
- **Strong force:** high-curvature compression modes
- **Gravity:** coarse-grained elastic deformation of the field
### **Cosmology**
- Early universe: high-curvature strain fluid
- Dark matter: stable non-torsional strain modes
- Dark energy: vacuum-sector curvature mismatch
- CMB: torsional-mode freeze-out
---
## Mathematical Structure
### **Lagrangian**
$$\mathcal{L} = \mathcal{L}_{\mathrm{el}} + \mathcal{L}_{\mathrm{tor}} + \mathcal{L}_{\mathrm{snap}}$$
### **Hamiltonian**
$$\mathcal{H} = \frac{1}{2}\Pi^2 + \mathcal{H}_{\mathrm{el}} + \mathcal{H}_{\mathrm{tor}} + V[\mathcal{G}]$$
### **Poisson Brackets**
$$\{G_{\mu\nu}(x), \Pi_{\alpha\beta}(y)\} = \delta_{\mu\nu,\alpha\beta}\,\delta^{(3)}(x-y)$$
No quantization.
No creation/annihilation operators.
No renormalization.
---
## Deterministic Non-Locality
Entangled systems share a **single contiguous tensor defect**.
Measurement resolves a global constraint, reproducing:
- Bell correlations
- GHZ correlations
- Tsirelson bound $$(2\sqrt{2})$$
without stochasticity or signaling.
---
## Falsifiable Predictions
The Generator Field makes **non-negotiable experimental predictions**, including:
- Modified Casimir scaling: $$(F \propto 1/d^3)$$
- Fixed-parameter muon $$(g-2)$$ anomaly
- Finite-time collapse
- Environment-dependent neutrino oscillations
- Elastic dispersion of gravitational waves
- No singularities inside black holes
- Dark matter as geometric strain, not particles
Any one of these can falsify the theory.
---
## Citation
Crago, N. (2026). The Generator Field: A Deterministic Tensor-Field Framework for Quantum Phase Evolution and State Finalization (Generator_field). Zenodo. https://doi.org/10.5281/zenodo.20305180