Hilgart Aerospace
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IAW Intro

Introduction

What Happens Inside a Black Hole?

The Interior Accumulation Web Hypothesis: Mapping the Unseen Universe
The Interior Accumulation Web Hypothesis

Beyond the horizon.
Into the interior.

What happens inside a black hole—and how could its interior structure influence the universe beyond it?

K. Thomas Hilgart presenting the IAW Explainer and Discussion Tour on stage
The central question

Collapse is the beginning of the inquiry.

The Interior Accumulation Web (IAW) Hypothesis investigates a continuum description of black-hole interiors beyond the conditions supported by dense matter. It asks how accumulated interior structure can be described mathematically and what observable consequences could follow.

The framework begins with established relativistic gravitational physics. It explores the relationship between interior evolution, event-horizon boundaries, and larger-scale consequences, including the environments surrounding black holes.

IAW is a scientific hypothesis. Its proposed interior description is evaluated through mathematical consistency, computational qualification, and testable predictions.
01 / INTERIOR STRUCTURE

Describe what lies beyond the boundary.

Explore an interior field description while retaining established Schwarzschild and Kerr solutions as local relativistic reference points.

02 / PHYSICAL CONSEQUENCES

Connect the interior to measurable questions.

Investigate how black-hole evolution and event-horizon accumulation could relate to surrounding systems and broader cosmological behavior.

03 / FALSIFIABILITY

Give the hypothesis something to answer to.

Separate proposed mechanisms from established results and identify the evidence needed to support, constrain, or reject them.

Interior Accumulation Web, Volume 1, by K. Thomas Hilgart. A Physical Theory of Matter Beyond Black Hole Event Horizons.
Interior Accumulation Web · Volume 1
Cover supplied by K. Thomas Hilgart.
Read the research

The complete argument,
in the author’s own work.

Follow the physical motivation, mathematical framework, computational work, and questions that define IAW. The manuscript is the primary reference for the hypothesis; this page provides an introduction.

Manuscript PDF · release link pending

Downloadable PDF

The public manuscript download will appear here when the release file is available.

Watch. Listen. Examine.

Explore IAW on screen.

Watch the IAW explanations and discussion, or listen to the introductory audio. Select a recording below to begin.

The computational development record

Building the ICSO.

INTERIOR CONSTITUTIVE STATE OPERATOR

The ICSO is the computational solver used to investigate the Interior Accumulation Web. It evolves the model’s field in space and time, tracks its energy, and tests how the numerical response changes under controlled conditions.

Its development proceeded through a sequence of simulations: establish a baseline, introduce and check individual effects, audit the calculations, and reproduce the results under more demanding tests. The supplied development record culminates in Simulation 20.10, the frozen and locked solver qualification.

Follow the qualification sequence ↓

PDF · 14.2 MB

ICSO Intro

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Building the ICSO cover: Development and Validation of the Interior Constitutive State Operator Solver
The author’s scientific development record. Select any plate in this section to view the original at full size.
7 stress casesS0–S6 passed in the supplied qualification record.
1,024 → 2,048Baseline and independent fine-grid resolutions.
4.17965 × 10−9Reported fine-grid maximum compensated energy-balance error.
01 / AUDIT & CORRECTION

Check the measurements before trusting the result.

The scale-invariance audit compared the same calculation under three sets of reference scales. The record retains the initial failures in 20.7 and 20.7A, followed by the corrected audit in 20.7B.

Corrections addressed the velocity comparison, the discrete gradient-energy diagnostic, and forcing-work normalization. The frozen 20.6 physics was retained; these were audit corrections, with no new physical terms.

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Figure 018 · Dimensionless scale-invariance audit, 20.7–20.7A–20.7B.
Figure 018 · Dimensionless scale-invariance audit, 20.7–20.7A–20.7B. Values and pass/fail labels are reproduced from the supplied development record.
02 / PARAMETER ROBUSTNESS

Put the solver under stress.

Simulation 20.9 tested seven cases: a baseline control, stronger cubic interaction, stronger linear and nonlinear damping, increased forcing amplitude, a forcing-frequency change, and combined stress.

All seven cases are marked PASS. The reported largest compensated energy-balance error was 5.87265 × 10⁻⁸, below the stated 1.0 × 10⁻⁵ acceptance limit. The plots show the different field and energy responses.

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Figure 023 · Simulation 20.9 parameter stress-test matrix and response histories.
Figure 023 · Simulation 20.9 parameter stress-test matrix and response histories. Values and pass/fail labels are reproduced from the supplied development record.
03 / INDEPENDENT QUALIFICATION

Reproduce it. Then refine the grid.

Simulation 20.10 brought the checks together: an independent baseline, the complete S0–S6 stress matrix, and an independent calculation on a finer grid. Each case is marked PASS in the supplied plate.

The baseline maximum balance error was 1.79681 × 10⁻⁸. On the 2,048-point grid it fell to 4.17965 × 10⁻⁹. The reported baseline-to-fine-grid relative field difference was 2.03063 × 10⁻³.

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Figure 024 · Simulation 20.10 final integrated solver qualification.
Figure 024 · Simulation 20.10 final integrated solver qualification. Values and pass/fail labels are reproduced from the supplied development record.
04 / THE QUALIFIED NUMERICAL ENGINE

See how the pieces fit together.

The architecture plate brings the development sequence and numerical engine onto one page: inputs, spatial operator, time integration, physics modules, stability controls, energy accounting, and output diagnostics.

Read it alongside the detailed audit and qualification plates above. These are the supplied illustrations, preserved as provided; the frozen simulation code and authoritative manuscript define the implementation.

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Figure 025 · Solver program architecture and final locked qualification summary.
Figure 025 · Solver program architecture and final locked qualification summary. Values and pass/fail labels are reproduced from the supplied development record.

What this qualification establishes. These tests document numerical performance for the specified equations, parameters, grids, and audit procedures. They qualify the solver as a computational engine. Physical predictions of IAW are evaluated separately against observations and experiments.

How the work is evaluated

A hypothesis needs more than an explanation.

IAW’s research workflow distinguishes the mathematical architecture, numerical behavior, and physical interpretation. Each addresses a different question.

A stable numerical solution is a computational result. Connecting that result to nature requires physical evidence.
  1. 01

    Mathematical structure

    Examine definitions, conservation relationships, boundary assumptions, and the consistency of the governing formulation.

  2. 02

    Computational qualification

    Evaluate solver behavior using convergence, balance checks, and controlled parameter studies.

  3. 03

    Physical interpretation

    Identify which conclusions follow from the model and which require additional constitutive assumptions or evidence.

  4. 04

    Predictions & scientific scrutiny

    Develop discriminating tests and invite informed analysis of the framework, its limits, and its consequences.