Strong Gravity
Determine the nonlinear interior structure of an HGUT black hole, whether functionality reaches zero, how information is preserved, and how matter and the medium evolve through saturation.
The Problem
HGUT interprets black holes as extreme structural wells rather than empty geometric singularities. The open problem is to construct regular interior solutions, define the Harrison Core and surrounding transport structure, match them to the exterior field, and determine how topology, energy, information, and causal propagation behave during formation and evolution.
Scientific Importance
Black holes force gravity, matter, topology, information, and quantum dynamics into the same strong-field regime. They are a decisive test of whether the HGUT substrate remains coherent beyond the weak-field limit.
Progress Ledger
An exterior inverse-square gravity sector and structural-well interpretation have been developed.
The Harrison Core and functionality-saturation concepts have been proposed.
The exact interior equations, horizon matching, entropy, information, and stability analysis remain open.
Pass-or-Fail Structure
Every gate must be addressed before this problem can be considered closed. Partial success does not establish the complete identification.
Construct nonsingular strong-field solutions of the completed equations.
Match the interior to the observed exterior geometry and horizon behavior.
Determine whether zeta reaches zero and what the limiting state means physically.
Track information, topology, and conserved quantities through formation and evolution.
Recover or replace black-hole entropy and temperature quantitatively.
Test formation, perturbation, accretion, radiation, and late-time behavior.
Definition of Success
This problem closes only when the following conditions are satisfied together.
Regular interior solutions exist in the completed theory.
The exterior limit matches black-hole observations and relativistic tests.
The horizon and causal structure are derived.
Functionality saturation and the Harrison Core are mathematically defined.
Energy, topology, entropy, and information accounts close.
The solution is stable and evolves consistently under accretion and perturbation.
Observable deviations are explicit and testable.
Prerequisites
Open Collaboration
Connected Research
Strong Gravity
Derive how infalling matter and energy divide between the Harrison Core and the surrounding gravitational or exhaust channel, including the exact nonlinear partition law.
Quantum Gravity
Show that coherent topology sources emergent geometry, geometry modifies quantum evolution, both arise from one substrate, and the coupled system remains causal and conservative.
Time, Gravity, and Transport
Derive the field zeta(x,t) from the underlying medium variables and establish how strain, energy density, transport capability, and local clock progression determine its evolution.
The Question Remains Open
Successful arguments, failed attempts, independent simulations, corrections, and falsifying evidence all move the research program forward.
