Welcome to BCT

Boundary Coherence Theory

Boundary Coherence Theory is a governed research corpus built around one geometric reversal: before forces, fields, particles, wavefunctions, or spacetime geometry, ask what configurations are permitted to exist at all.

The boundary is the physically realised admissibility interface between two structural sectors: a two-dimensional tangential sector, T, that routes, circulates, and carries winding; and a three-dimensional volumetric sector, V, that stores, converts, and carries curvature participation. At the realised boundary, T contributes both tangential degrees of freedom, while V contributes one normal participation channel, giving the local 2T+1V geometry.

From three ontological commitments — 2T+1V dimensional asymmetry, finite healing length, and single-valued continuation — the paper trilogy develops electromagnetism, localized matter, and gravity as three entry points into one boundary architecture.

BCT does not stand beside existing physics as a rival. It steps underneath it.

Conventional physics remains valid where its projections work. BCT changes what those projections are taken to mean. Forces, fields, wavefunctions, spacetime geometry, thermodynamics, and gravity are not treated as separate foundations; they are recovered or reinterpreted as compressed readings of a deeper boundary architecture.

Within its declared status levels, the BCT programme recovers or structurally re-reads major parts of existing physics: Maxwell structure and charge quantization from boundary-mode geometry; Lorentz-force form and special-relativistic kinematics from projection of boundary reconfiguration; quantum formalism as admissibility bookkeeping rather than primitive probability; thermodynamic directionality from irreversible throughput; compact-regime Newtonian and weak-field GR behaviour as projection-level gravity; and galaxy-scale flat rotation / BTFR behaviour from extended-regime throughput geometry.

The source structure is admissibility-governed: a boundary between routing and storage, evolving under irreversible throughput and constrained by what configurations can continue to exist.

There are currently three document sets.

The corpus is the authoritative source for the theory. The papers are narrative unfoldings derived from the corpus ontology, not independent alternative formulations.

Corpus

Boundary Coherence Theory Corpus

The governed source corpus: ontology, projection framework, domain unfoldings, and engineering realizations.

Open DOI
Papers 1–3

Foundational Trilogy

The connected physics sequence: electromagnetism, localized matter, and gravity from one underlying boundary ontology.

Open DOI
Papers 4–6

Second Trilogy

Extensions into engineering failure, biology, and the status of number as projection-level invariant geometry.

Open DOI

Markdown-first, status-tagged, and strictly layered.

The corpus is distributed primarily as markdown because markdown preserves structure, headings, equations, status tags, and cross-file hierarchy in a form that high-capability language models can ingest and reason over more reliably than rendered document formats.

VolumeRoleAuthority
00_xxGovernance, glossary, navigation, corpus methodology, and status grammar.Governs the corpus.
01_xxCore ontology: primitives, admissibility rules, dynamics, and structural no-go theorems.Ontology flows outward only.
02_xxProjection framework: how BCT maps onto conventional physics languages.Projection cannot modify ontology.
03_xxDomain unfoldings: astrophysics, geophysics, chemistry, metabolism, and biology.Receives from ontology.
04_xxEngineering realizations, proofs-of-principle, and applied demonstrations.Engineering success does not validate or alter ontology.

Every important claim carries a status.

Status tags distinguish ontology, locked structural consequences, projection-level recoveries, empirical interfaces, engineering realizations, interpretive commentary, and kernel-open work. This prevents projection, empirical, or engineering material from being mistaken for ontology.

Locked

Ontology and consequences

Foundational primitives, derived structural consequences, and no-go prohibitions.

[ONT][SC][NG][DR]
Projection

Comparison and observables

Bookkeeping language, empirical interfaces, validation procedures, and falsifier conditions.

[PL][EI][IC]
Downstream

Engineering and open kernels

Applied demonstrations and structurally framed areas that remain incomplete or pending closure.

[ER][KO]

Three connected papers. One boundary architecture.

The trilogy builds progressively from a single underlying ontology. Paper 1 establishes electromagnetism as admissible local mode structure of a 2T+1V boundary. Paper 2 develops localized matter as stable boundary-vortex topology. Paper 3 derives gravity as the mandatory global throughput response to cumulative non-closure under irreversibility. The full papers are accompanied by Python supplement files for mechanical algebraic and numerical verification, together with trilogy interlock checks that help keep the cross-paper dependencies anchored.

Paper 1

What Is Electromagnetism?

Boundary-mode geometry into charge, Maxwell structure, gauge structure, and light — not as independent fields, but as projection grammar of admissible T/V structure.

Open Paper 1 page
Paper 2

What Is a Particle?

Curvature-storage geometry into localized matter: boundary vortices, mass, confinement, generations, and matter stability from admissibility.

Open Paper 2 page
Paper 3

What Is Gravity?

Global throughput geometry into gravity: the mandatory volumetric response to cumulative non-closure, not an independent force or field.

Open Paper 3 page

Beyond foundational physics.

The second trilogy extends the same admissibility architecture into engineering, biology, and mathematics: failure as irreversible admissibility loss, life as persistent closure organization under throughput constraints, and number as projection-level invariant geometry rather than independent ontology.

Two practical ways to engage with BCT.

Choose the route that fits how you work. Both routes should keep the corpus hierarchy intact: the corpus is authoritative, and the papers are narrative unfoldings of that ontology.

Path 1 · Interactive LLM exploration

Upload the corpus, papers, and verification scripts — then ask questions.

Load the markdown corpus files, the relevant paper files, and companion Python verification scripts into a strong LLM session. Then explore at your own pace: by paper, equation, claim status, domain, or area of expertise.

This is often the fastest way to engage deeply with BCT, but it depends on a capable model with direct access to the relevant files. Weak or loosely anchored models tend to import conventional physics ontology and lose the projection firewall.

Path 2 · Direct reading

Read the papers, or start with Section 3 in the corpus Part files.

For a conventional reading path, start with the trilogy papers or the Section 3 Conceptual Overview inside each major corpus Part. These sections are written as reader-friendly orientation before the formal technical material.

For full authority, read the Introduction, the canonical Table of Contents, and Part I before moving downstream. Section 3 is explanatory only; formal authority lives in the structural sections, equations, status-tagged claims, and governance declarations of the parent file.