Active Research Programme
Where HGUT is being tested, derived, and built.
These programmes represent the active mathematical, computational, and conceptual work advancing HGUT. Every project has a defined objective, an evidence trail, and a clear next research gate.
Research Foundation Established
The baseline field equations are already in place.
The HGUT master Lagrangian and baseline displacement, phase, coupling, and conservation equations provide the common mathematical framework used by every active programme below. The present work focuses on solving, validating, extending, and closing their physical consequences.
Graviton Mesh Construction and Validation
Building the numerical medium and testing its stability, propagation behavior, and continuum-scale properties.
Next Gate
Complete the first production-quality Mesh construction at N = 64 and validate it against an independent N = 96 run.
Current Objectives
- ✦Construct a stable bonded Graviton Mesh.
- ✦Measure long-time background stability.
- ✦Test transverse and longitudinal wave propagation.
- ✦Establish the continuum limit across increasing resolution.
Electron Identity Program
Testing whether the electron is the stable, charged, finite-energy Q = 1 Hopf-type Harrison Knot.
Next Gate
Obtain a resolution-convergent localized Q = 1 solution that remains stable under unrestricted evolution.
Current Objectives
- ✦Construct a localized finite-energy Q = 1 solution.
- ✦Demonstrate unrestricted long-time stability.
- ✦Verify topological charge under increasing resolution.
- ✦Derive electric charge and negative orientation.
Strong and Weak Interaction Development
Developing HGUT’s topological account of strong linking, weak transformation, baryon identity, and particle decay.
Next Gate
Complete the target-space and matter-geometry analysis required before proton, neutron, and baryon claims can be fully derived.
Current Objectives
- ✦Formalize the strong-linking mechanism.
- ✦Define the weak core-transformation mechanism.
- ✦Preserve the Strong-A and Strong-B conceptual firewall.
- ✦Derive baryon-number-like topological identity.
Measurement Dynamics and Localization
Deriving detector capture, definite outcomes, Born weighting, entangled correlations, and stable records from physical dynamics.
Next Gate
Demonstrate complete winner-take-all localization in a field-level detector model without persistent fractional capture.
Current Objectives
- ✦Construct a complete detector interaction model.
- ✦Derive the preferred measurement basis.
- ✦Produce winner-take-all localization.
- ✦Derive Born-rule outcome frequencies.
Lorentz and Three-Speed Closure
Testing whether all observable matter, clocks, light, and propagation modes recover one operational relativistic causal structure.
Next Gate
Determine whether the scalar-longitudinal sector can be dynamically decoupled, gapped, confined, or unified with the protected transverse cone.
Current Objectives
- ✦Derive the complete mode spectrum.
- ✦Identify the observable coupling of every mode.
- ✦Recover a universal operational causal cone.
- ✦Establish clock and rod transformations.
Quantum–Geometry Backreaction
Closing the two-way feedback loop between coherent topology, emergent geometry, phase evolution, and conserved dynamics.
Next Gate
Construct the first explicit conserved two-way numerical model in which coherent topology sources geometry and geometry alters coherent evolution.
Current Objectives
- ✦Derive coherent stress-energy from the HGUT action.
- ✦Show how topology sources effective geometry.
- ✦Derive geometric modification of quantum phase evolution.
- ✦Establish one-substrate emergence.
Great Collision Computational Model
Simulating the pre-cosmological collision and determining whether it produced rebound, merger, partial merger, fragmentation, or another outcome.
Next Gate
Build the first controlled reduced-dimensional collision model that distinguishes rebound from merger while conserving energy and momentum.
Current Objectives
- ✦Define the pre-collision structures.
- ✦Construct conserved nonlinear initial data.
- ✦Simulate rebound, merger, and partial-merger regimes.
- ✦Track Mesh formation.
Black-Hole Interior and Two-Channel Dynamics
Constructing the nonlinear Harrison Core, functionality-saturation regime, and exact distribution of infalling matter and energy.
Next Gate
Derive a controlled static interior solution that matches the known exterior field while avoiding singular behavior.
Current Objectives
- ✦Construct a regular nonlinear interior solution.
- ✦Define the Harrison Core mathematically.
- ✦Determine whether functionality approaches zero.
- ✦Match the interior to the exterior gravitational field.
Research Infrastructure
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