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HGUT
Harrison Grand
Unified Theory
Open ProblemsTwo-Channel Distribution
16Status: OpenMajor

Strong Gravity

Derive the Exact Black-Hole Two-Channel Distribution

Derive how infalling matter and energy divide between the Harrison Core and the surrounding gravitational or exhaust channel, including the exact nonlinear partition law.

The Problem

Problem Statement

HGUT proposes that black-hole evolution distributes incoming matter, energy, and structural response through two coupled channels. The open task is to define those channels exactly, derive the partition law from the field equations, and determine its dependence on mass, charge, angular momentum, infall conditions, and the state of the surrounding medium.

Scientific Importance

Why It Matters

The two-channel law controls black-hole growth, interior composition, gravitational response, information retention, possible exhaust behavior, and connections to dark-sector and cosmological claims.

Progress Ledger

What Has Been Established So Far

1

A qualitative two-channel picture has been introduced.

2

The Harrison Core and surrounding structural response have been distinguished conceptually.

3

No exact branching law, conserved-flux decomposition, or validated simulation has yet been established.

Pass-or-Fail Structure

Research Gates

Every gate must be addressed before this problem can be considered closed. Partial success does not establish the complete identification.

TC-1Open

Channel definition

Define the two physical channels in field-theoretic terms.

TC-2Open

Partition law

Derive the nonlinear fraction entering each channel.

TC-3Open

Conservation accounting

Close energy, momentum, topology, charge, and information across both channels.

TC-4Open

Parameter dependence

Determine dependence on spin, charge, mass, impact conditions, and environment.

TC-5Open

Evolution and saturation

Track how the distribution changes as the black hole grows or approaches equilibrium.

TC-6Dependent

Observable consequences

Derive signatures for accretion, radiation, structure, or cosmology.

Definition of Success

Exact Closure Criteria

This problem closes only when the following conditions are satisfied together.

  1. 1

    Both channels are defined by explicit field variables and conserved fluxes.

  2. 2

    The partition law is derived rather than fitted.

  3. 3

    The law is validated across controlled simulations.

  4. 4

    All conserved quantities close across the two-channel system.

  5. 5

    The result integrates consistently with the regular black-hole interior.

  6. 6

    At least one quantitative observable consequence is identified.

Prerequisites

Dependencies

  • Black-hole interior
  • Completed stress-energy tensor
  • Functionality dynamics
  • Particle refinement model
  • Strong-field numerical solver

Open Collaboration

How Contributors Can Help

  • Flux decomposition
  • Strong-field simulations
  • Parameter-space scans
  • Information accounting
  • Accretion modeling
  • Observable-signature calculations

The Question Remains Open

Help test the candidate.

Successful arguments, failed attempts, independent simulations, corrections, and falsifying evidence all move the research program forward.