TORONTO, ON, October 18, 2026 — One step, from the core of a star to the interior of a black hole: a new IIIR monograph follows what happens to matter compressed past the density at which quarks escape the nucleon.
The QCD Confinement Limit argues that a single threshold, a few to about ten times nuclear density, links the explosion of massive stars, the origin of the heaviest elements, the absence of black holes lighter than about four solar masses, and the impossibility of light primordial black holes.
The Institute of Integrative and Interdisciplinary Research (IIIR) today published The QCD Confinement Limit: Deconfinement in Supernovae, Nucleosynthesis and Black Holes, a 278-page monograph by Lead Investigator Boris Kriger.
Kriger, B. (2026). The QCD Confinement Limit: Deconfinement in Supernovae, Nucleosynthesis and Black Holes. Monograph. ISBN 9798163538782. IIIR Cosmology and Theoretical Physics. 278 pages. https://www.amazon.com/dp/B0HNHS3P56
https://doi.org/10.5281/zenodo.23460962
The central idea
Most of the mass of ordinary matter is not the mass of quarks. It is the energy of the quark sea that confinement holds inside protons and neutrons. The monograph asks what happens to that energy when a collapsing stellar core is squeezed past the confinement limit and baryons dissolve. Its answer is that the released energy stops acting as a localized source of gravity. The matter then confines again when the density falls. What follows depends only on where the released energy can go: out of the region, into the products, or nowhere, because a horizon has closed around it.
“The same step happens at three scales,” said Boris Kriger, Lead Investigator. “In a supernova the energy leaves and the star above loses its support. In a nucleus it goes into the products. In a black hole it cannot leave, so it stays as a vacuum of fixed density and builds the core instead of a singularity.”
Four parts, four results
— Supernovae. A sudden loss of gravitating mass in deconfined clumps of the collapsing core unbinds the star above, like a rope that snaps while something is being whirled on it. Hydrodynamic calculations give 10^50 to 10^51 erg of ejecta. General-relativistic runs show that the loss would also lower the electron-neutrino breakout burst by 9–18 percent, a signature that a Galactic supernova could test.
— Heavy elements. Re-confining matter returns its baryon number as heavy, neutron-rich nuclei. A conservation law fixes the mean final mass per seed. Three populations of ejecta reproduce the r-process pattern of old metal-poor stars to 0.2 dex, thorium included. The monograph also proposes that every nuclear capture and fusion passes through a brief local window of deconfinement, and names existing laboratory data that could test this.
— Black holes. The singularity is replaced by a core of fixed density whose volume grows with the mass. A supermassive black hole is no denser at its center than a stellar one, only larger. Horizons cannot form below a critical mass of about 4.4–5.0 solar masses. Objects in the observed “mass gap” are therefore predicted to be horizonless, and black holes just above the edge must spin slowly.
— Primordial black holes. In standard physics the hypothesis needs fluctuations about ten million times larger than any measured. A mathematical identity also shows that, under the confinement limit, no black hole of any origin can be lighter than the floor. Asteroid-mass and sub-solar primordial black holes are excluded.
Falsifiability
The monograph lists the observations that would decide:
— the order of events and the neutrino breakout burst in the next Galactic supernova;
— the unexplained excess of low-energy fusion rates over what atomic screening allows;
— tidal and ringdown signatures of gravitational-wave sources in the mass gap;
— the spins of the lightest black holes.
A single confirmed sub-solar black hole would refute the density floor outright.
What the study does not claim
The study does not claim that the confinement limit is established. Its two central premises are stated as posits: the deconfinement density of cold matter, which lattice QCD cannot yet compute, and the gravitational fate of the released energy. Every argument is built as a fork that follows both possibilities, so the reader can see which conclusions depend on which premise. Several results, including the conservation law for nucleosynthesis and the identity behind the primordial black-hole floor, hold without either posit.
“I would rather be told where this fails than that it is interesting,” said Kriger. “Every number in the book comes with the code that produced it.”
About the monograph
The volume collects four papers deposited in October 2026:
— QCD Deconfinement Behind the Mechanism of Core-Collapse Supernovae (doi:10.13140/RG.2.2.18839.94888)
— Nucleosynthesis by Re-confinement (doi:10.13140/RG.2.2.15536.93446)
— Deconfinement and the Interior of Black Holes (doi:10.13140/RG.2.2.14698.07362)
— A Case Against Primordial Black Holes (doi:10.13140/RG.2.2.16706.75202)
It adds a general introduction, a bibliography of 292 references, code appendices, a glossary of 200 terms, a timeline from ancient atomism to the present, and an index.
Specialists are invited to scrutinize, reproduce and test the results.
Contact
Boris Kriger, Lead Investigator
Institute of Integrative and Interdisciplinary Research, Toronto, Canada
ORCID: https://orcid.org/0009-0001-0034-2903
https://interdisciplinary-research.institute
boriskriger@interdisciplinary-institute.org
About the Institute
The Institute of Integrative and Interdisciplinary Research (IIIR) is a Toronto-based research organization dedicated to solving complex problems through formal precision and cross-domain synthesis.
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