Possible Standard Model solution for Baryon Asymmetry

Mikhail Kosov

REVIEW 5 major objections 4 minor 6 references

Possible Standard Model solution for Baryon Asymmetry

T0 review · 5 major / 4 minor · reviewed 2026-08-06 · deepseek-v4-flash

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Pith's one-line read The paper claims that the observed baryon asymmetry and early massive black holes can both be explained within the Standard Model if the Higgs boson is a top-antitop bound state and a primordial excess of two-antitop antibaryons collapses…

desk verdict An honest but circular speculation: the baryon asymmetry is assumed in the initial 2tbar excess, and the 2t mass is fixed by the fitted binding energy. read the letter →

arxiv 2506.16340 v1 pith:WT3RYO3T submitted 2025-06-19 hep-ph astro-ph.HE

Mikhail Kosov This is my paper · ORCID

classification hep-phastro-ph.HE

keywords baryonasymmetrytopquarkboundstatesHiggsbosoncompositenessprimordialblackholesStandardModelbaryogenesislong-livedhadronsantimatter

topics Matter-Antimatter Asymmetry

open problems Matter-Antimatter Asymmetry

verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper proposes a Standard Model-only explanation for two cosmic puzzles: why the observable Universe is made of matter rather than antimatter, and why massive black holes already existed when the Universe was very young. The argument starts from the idea that the 125 GeV Higgs boson is a bound state of a top quark and an antitop quark, held together by the Higgs-exchange force with a binding energy of 220 GeV. If that is true, a baryon made of two top quarks would have nearly the same mass as the Higgs boson and would decay very slowly. The paper then claims that a primordial excess of the antimatter versions of these heavy baryons would be compensated by an excess of ordinary nucleons, while the heavy antibaryons would gravitationally collapse into black holes before nucleosynthesis. The proposal needs no new particles or forces, but depends on an assumed initial imbalance in the number of two-antitop antibaryons versus two-top baryons.

What carries the argument

The load-bearing object is the hypothetical $2t$-baryon: a baryon containing two top quarks (and, in the decay scheme, a light quark), whose mass is driven down to about the Higgs mass by a super-strong Higgs-exchange binding of 220 GeV. This mass coincidence makes the $2t$-baryon long-lived, since its decay would need to supply roughly 50 GeV to unbind the pair; the paper also invokes a suppressed two-$W$-boson exchange for the $tt \to uu$ transition. The same binding force is used to argue that $3t$-baryons may be light and even stable. The mechanism then works by converting a primordial excess of $2\bar{t}$-antibaryons into nucleons and primordial antimatter black holes.

What would settle it

A null result in a dedicated search for long-lived hadrons with mass near 125 GeV and decays mediated by $W$-boson exchange would falsify the proposed $2t$-baryon mechanism, as would a high-precision determination that the Higgs boson is elementary rather than a $t\bar{t}$ bound state.

Watch

Extended reading notes

Core claim

The paper's central claim is that the baryon asymmetry and the early appearance of massive black holes are two sides of the same Standard Model process. It asserts that the discovered Higgs boson should be interpreted as a $t\bar{t}$ bound state whose 220 GeV binding energy makes the mass of a two-top-quark baryon ($2t$-baryon) approximately equal to $m_H \approx 125$ GeV. Because the decay of one top quark inside the bound diquark requires breaking the strong binding, these $2t$-baryons live much longer than single top quarks. If the primordial Universe contained more $2\bar{t}$-antibaryons than $2t$-baryons, the paper argues, the excess must be balanced by ordinary nucleons through a sequence of decays, and the surplus heavy antibaryons can collapse into antimatter black holes during inflation, removing the antimatter and leaving the nucleon excess that later forms the visible Universe.

Load-bearing premise

The entire mechanism rests on the assumption that the primordial Universe contained more $2\bar{t}$-antibaryons than $2t$-baryons, and the paper proposes no physical process that would create that imbalance.

Editorial extensions

If this is right

If the mechanism is right, the observed baryon asymmetry needs no new particle physics: it is downstream of a primordial imbalance among already-known quarks.
It predicts a population of early black holes formed from collapsing $2\bar{t}$-antibaryons, offering a Standard Model source for the massive black holes seen in the young Universe.
It predicts the existence of nearly stable $2t$-baryons with mass near 125 GeV, which collider experiments could search for as long-lived exotic hadrons.
It implies that the Higgs boson is composite, a fact that would show up in precision measurements of Higgs couplings, parity, and self-interactions.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

The paper shifts the origin of the baryon asymmetry to a new initial condition, the excess of $2\bar{t}$-antibaryons over $2t$-baryons, without explaining how that excess arose; a natural next step would be to seek a baryogenesis-like mechanism that preferentially produces the antibaryonic state.
If the collapsing antibaryons form primordial black holes, their merger gravitational-wave signals could be a testable signature distinct from astrophysical black holes, assuming the collapse time is as short as the paper hypothesizes.
The same binding-energy logic could be applied to other doubly-heavy baryons, suggesting a family of long-lived states whose mass spectrum would be a sharp test of the 220 GeV binding assumption.
A precise measurement of the Higgs boson's spin-parity or its $t\bar{t}$ coupling could rule the composite interpretation in or out, which would indirectly decide whether the $2t$-baryon mechanism can operate.

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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Desk Editor's Note

read the letter

Punchline: this is a chain of speculations with no derived numbers, and two of the central claims are circular by construction. The one fresh connection—2tbar antibaryons collapsing to black holes and leaving a nucleon excess—is worth a moment of thought, but the paper does not give you any quantitative reason to take it further.

What it does well: it engages the older top-quark bound-state literature (Froggatt-Nielsen, Kuchiev et al.), and it is unusually honest about its own limits. The author states in the conclusion that the hypotheses can neither be proved nor refuted, and the speculative character is flagged throughout. That transparency is real, and the black-hole seed idea is genuinely not something I recall seeing attached to multi-top bound states.

The soft spots are load-bearing. The 220 GeV binding energy is chosen so that a t-tbar pair lands on 125 GeV; the paper then tells you 2t-baryons should have about the Higgs mass. That is input masquerading as prediction. The initial excess of 2tbar over 2t is simply the baryon asymmetry transplanted onto a new species; no mechanism generates it, and the Sakharov conditions are never mentioned. The reaction scheme only redistributes baryon number, and the collapse into black holes hides the negative baryon number rather than explaining its absence. The 2t lifetime is argued by analogy to Ξ → Nπ, not calculated. The 3t-baryon mass is rescued from a negative value by an ad hoc factor of mH/mt with no derivation. And the collapse timescale in the early universe is asserted to be 'rather fast' without a calculation.

So the paper is an honest speculation, but the central explanatory work is done by assumptions that are exactly what needs to be explained. For a reader tracking exotic top-quark states or primordial black hole seeds, it's a five-minute skim. It is not a paper I would send to a referee as it stands; the right move is to ask the author to calculate at least one of the central numbers—the 2t lifetime, the binding energy from a real potential, or the collapse timescale—before it can be evaluated.

Recommendation: desk reject with encouragement to resubmit if a concrete calculation appears.

Referee Report

5 major / 4 minor

Summary. The manuscript proposes that the Higgs boson is a t-tbar bound state held together by Higgs-exchange forces with a binding energy of 220 GeV, so that the t-tbar mass (345 GeV) is reduced to the observed Higgs mass (125 GeV). From this it argues that 2t-baryons (tt-diquark states) should have approximately the same mass as the Higgs boson and therefore be relatively long-lived. It then suggests that if the primordial Universe contained more 2tbar-antibaryons than 2t-baryons, the rapid collapse of these heavy antibaryons into black holes would leave a residual excess of nucleons, explaining the observed baryon asymmetry and possibly primordial massive black holes. The paper presents these as a set of linked hypotheses, with no quantitative derivation of the binding energy, lifetime, or collapse timescale, and it explicitly concedes at the end that the hypotheses can be neither proved nor refuted with present knowledge.

Significance. If the proposed mechanism were correct and quantitatively established, it would offer a Standard Model-only explanation for both the baryon asymmetry and the existence of massive black holes in the early Universe, which would be a very significant result. The paper does attempt to connect several independent enigmas and cites a concrete observational anchor (the 125 GeV Higgs mass). However, as it stands, the central quantitative ingredient is an input rather than a prediction, and the baryogenesis step assumes the very asymmetry it seeks to explain. The paper therefore does not currently provide a testable or falsifiable derivation, and its significance remains a statement of possibility rather than a worked-out scenario.

major comments (5)

[Abstract and second hypothesis] The 220 GeV binding energy is not derived but is chosen so that the t-tbar mass difference, 345 - 220 = 125 GeV, equals the observed Higgs mass. The subsequent claim that "2t-baryons should have approximately the same mass as the Higgs-boson" is therefore not a prediction but a restatement of this input. Since the paper offers no independent calculation of the tt-diquark binding energy, the purported mass relation is circular.
[Section beginning "If the ttq and tqq baryons..."] The baryogenesis mechanism assumes a primordial excess of 2tbar-antibaryons over 2t-baryons as an initial condition. The reaction scheme shown conserves baryon number, and the collapse of antibaryons into black holes merely hides the negative baryon number rather than creating an asymmetry from a symmetric state. No Sakharov conditions are addressed, and no baryon-number-violating process is identified, so the observed asymmetry is relocated to a new speculative species rather than explained.
[Paragraph following Figure 3] The mass of the 3t-baryon is adjusted by an ad hoc factor m_H/m_t to avoid a negative value. The statement that the 3t-baryon mass "could be positive (about 40 GeV)" and "can have a small positive value" shows that the model has no predictive power for this state; the reduction factor is introduced solely to rescue a physically meaningless negative mass. This is a load-bearing inconsistency because the same super-strong binding that is invoked for the 2t state is not consistently applicable to the 3t state.
[Discussion of 2t-baryon lifetime after Figure 2] The claimed long lifetime of the 2t-baryon is supported only by a qualitative analogy with the Xi -> N pi decay and by the assertion that the tt -> uu transition is "hard suppressed." No matrix element, phase-space estimate, or lifetime calculation is provided. The lifetime is a critical input for the proposed cosmological history, since the 2tbar-antibaryons must survive long enough to collapse into black holes but then disappear sufficiently fast; without a quantitative estimate, the mechanism has no dynamical support.
[Fourth hypothesis (black hole formation)] The claim that heavy 2tbar-antibaryon stars could evolve to black holes during inflation and that the formation time is comparable to the particle lifetime is presented as a bare hypothesis. The paper itself identifies this as the weakest point. Since the entire scenario for both the baryon asymmetry and the early black holes depends on this collapse timescale, the absence of any dynamical model makes the central claim unsupported.

minor comments (4)

[Throughout] The text contains several typographical errors, including "black halls" instead of "black holes" (Abstract and body), "bigger then" instead of "bigger than" (Abstract), and "t¯tpair" missing spacing. These should be corrected.
[Figure references] Figure 1 is described in the text but not referenced by number at its first mention, and Figures 2 and 3 are referenced only indirectly. The figure captions are also incomplete; for example, Figure 3 does not explain what the two diagrams represent beyond "bound 3t-baryon state."
[Phrase "As m_H < m_t"] The sentence "As m_H < m_t, the life time of 2t-baryons must be much bigger then the life time of 1t-baryons" is a non-sequitur as written: the inequality between the Higgs mass and the top-quark mass does not by itself imply a longer lifetime, and the intended reasoning (that decay of one t-quark in a bound state requires additional energy) should be stated explicitly.
[Reference [1]] The paper relies on reference [1] for the existence of 220 GeV binding, but that reference is to a work on hadron masses in a chiral-invariant phase space model; the connection between that model and the present Higgs-bound-state hypothesis should be explained in more detail, since the reader is otherwise left to accept the number on faith.

Circularity Check

3 steps flagged · score 8.0 of 10

Baryogenesis mechanism assumes the very asymmetry it aims to explain; the 220 GeV binding energy is tuned so the 2t mass 'prediction' reproduces the input Higgs mass.

fitted input called prediction [Abstract; Section 'The hypothetical super-strong binding energy 220 GeV...' (p.1)]
"If the discovered Higgs boson with m_H=125 GeV is interpreted as a t¯t-boson where the t-quarks are bound by Higgs-exchange with binding energy 220 GeV, then the 2t-baryons should have approximately the same mass as the Higgs-boson."

The binding energy is chosen so that 2m_t − E_b = 345 − 220 = 125 GeV, exactly the input Higgs mass. The 'prediction' m_{2t} ≈ m_H is therefore the same equation that defines the fit parameter, not an independent result. No calculation fixes 220 GeV from the theory; the paper itself calls it a 'hypothesis'.
self definitional [Section beginning 'If the ttq and tqq baryons together with the ttq and tqq antibaryons...' (p.1-2)]
"If the ttq and tqq baryons together with the ttq and tqq antibaryons were created in the Big Bang so that the number of the 2¯t-antibaryons was bigger than the number of the 2t-baryons, then after the fast decay of the 1t-baryons and 1¯t-antibaryons the number of 2¯t-antibaryons must be bigger than the number of 2t-baryons. The excess of the heavy 2¯t-antibaryons should be compensated by nucleons..."

The assumed excess of antimatter 2t states is the baryon asymmetry itself, relocated to a new particle. The compensation scheme conserves baryon number and the black-hole collapse merely hides the negative baryon number, so the mechanism cannot create the asymmetry from a symmetric start. The paper's central conclusion is thus contained in its initial 'if': more anti-2t than 2t is exactly the effect to be explained.

1 more flagged steps

self citation load bearing [Introduction, first paragraph (p.1)]
"The first hypothesis was discussed in ref. [1], where the discovered quantum of the Higgs field H-boson was interpreted as a t¯t pair bound by Higgs-exchange forces."

The whole derivation depends on the Higgs-as-ttbar hypothesis, which is justified only by the author's own previous paper [1]. This is a load-bearing self-citation: ref. [1] is not independently derived here, and the present paper adds only tuned parameters and an assumed asymmetry. The claimed 'Standard Model solution' therefore rests on an unverified premise supplied by the same author.

full rationale

The paper's chain is: Higgs = ttbar with binding energy 220 GeV → m_{2t} ≈ m_H; initial excess of 2tbar antibaryons → compensated by nucleons; collapse hides antibaryons. Step 1 is circular by construction because 2m_t − E_b with E_b ≡ 345 − 125 gives back m_H; the 'predicted' 2t mass is the fit target. Step 2 is circular in the stronger sense: the initial 2tbar-over-2t excess is the baryon asymmetry that the paper claims to explain. The compensation scheme conserves baryon number and the Schwarzschild collapse only stores negative baryon number, so no net asymmetry is generated; the proposal is a relocation of the puzzle. The Higgs-as-ttbar premise is also load-bearing self-citation to the author's ref. [1], with no independent derivation supplied. The paper's own conclusion states the hypotheses 'can neither prove nor refute', which is weighed as an explicit admission that the central asymmetry is an unjustified initial condition. No external benchmark or independent calculation is offered. Overall the central 'solution' reduces to a tuned mass relation plus an assumed excess: score 8.

Assumptions & free parameters 3 free parameters · 4 assumptions · 2 invented entities

The central claim rests on a small set of asserted numbers and assumptions: the 220 GeV binding energy (fitted to the Higgs mass), an ad hoc 3t binding reduction, and a primordial asymmetry that is simply posited. The 2t and 3t baryons are invented entities with no independent evidence. The paper adds no derivations or data to justify these additions.

free parameters (3)

Binding energy of ttbar bound state = 220 GeV
Chosen so that 2*m_t - BE = 125 GeV, exactly reproducing the observed Higgs mass. This value is asserted, not derived.
Three-t binding energy reduction factor = m_H/m_t ~ 0.72
Ad hoc factor introduced to keep the 3t-baryon mass positive when the naive 220 GeV per pair would give a negative mass. No justification is provided.
Primordial 2tbar/2t asymmetry = not specified, assumed >0
The paper assumes that 2tbar-antibaryons outnumbered 2t-baryons in the early universe. This initial condition is the input that the mechanism converts into the baryon asymmetry.

assumptions (4)

ad hoc to paper The Higgs boson is a t-tbar bound state bound by Higgs-exchange forces.
Taken from the author's prior paper [1]; no independent derivation is given in this work.
domain assumption The Higgs-exchange interaction can produce a binding energy comparable to the top quark mass.
Assumed to justify 220 GeV binding energy; the paper acknowledges this is questionable.
domain assumption The decay tt -> uu is suppressed by charge conservation, requiring double W exchange, making 2t-baryons long-lived.
The paper argues by analogy with Xi -> N pi suppression, but no calculation is presented.
ad hoc to paper A primordial excess of 2tbar over 2t existed before inflation.
The asymmetry is assumed, not derived; without it the mechanism cannot work.

invented entities (2)

2t-baryon (tt diquark) and corresponding 2tbar-antibaryon
purpose: Provides a heavy, long-lived baryonic state that can carry the assumed primordial asymmetry and collapse into black holes, removing antimatter.
No observable signature or production mechanism is predicted. The existence is inferred from the assumed 220 GeV binding energy.
3t-baryon
purpose: Introduced to discuss a potentially stable baryon with small positive mass that could be discovered experimentally.
No mass value is pinned down; it could be negative or a small positive number depending on ad hoc correction factors.

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Cite this review

Pith. "Pith review of Possible Standard Model solution for Baryon Asymmetry." pith.science (2026). https://pith.science/paper/WT3RYO3T

@misc{pith2026250616340,
  author       = {Pith},
  title        = {Pith review of: Possible Standard Model solution for Baryon Asymmetry},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/WT3RYO3T}},
  note         = {Machine review of arXiv:2506.16340}
}

abstract

If the discovered Higgs boson with $m_H$=125 GeV is interpreted as a $t\bar{t}$-boson where the $t$-quarks are bound by Higgs-exchange with binding energy 220 GeV, then the $2t$-baryons should have approximately the same mass as the Higgs-boson. As $m_H<m_t$, the life time of $2t$-baryons must be much bigger then the life time of $1t$-baryons. If in the primordial Universe the number of $2\bar{t}$-antibaryons was bigger than the number of $2t$-baryons, then the excess should be compensated by nucleons. The relatively long living heavy $2\bar{t}$-antibaryons could in primordial Universe fast evolve to antimatter black halls and disappear in the world of matter under the Schwarzschild spheres.

Discussion (0). Continue with ORCID to comment.

Reference graph

Works this paper leans on

6 extracted references · 6 canonical work pages

[1]

Kosov Masses of 92 1s-Hadrons in Chiral-Invariant Phase Space Model

M. Kosov Masses of 92 1s-Hadrons in Chiral-Invariant Phase Space Model. Phys. Atomic Nucl. 88 (2025) 210-219

work page 2025
[2]

C. D. Froggatt, H. B. Nielsen, L. V. Laperashvili Hierarchy-problem and a bound state of 6 t and 6 anti-t. Int. J. Mod. Phys. A 20 (2005) 1268

work page 2005
[3]

M. Yu. Kuchieve, V. V. Flambaum, E. V. Shuryak On bound states of multiple t-quarks due to Higgs exchange. Phys. Rev. D 78 (2008) 077502 – 2 – Figure 3 . Diagrams of the bound 3t-baryon state

work page 2008
[4]

De Santis Higgs interchange and bound states of super-heavy fermions

M. De Santis Higgs interchange and bound states of super-heavy fermions. Pramana 81 (2013) 467

work page 2013
[5]

C. D. Froggatt, C. R. Das, L. V. Laperashvili, H. B. Nielsen Diphoton decay of the Higgs boson and new bound states of top and anti-top quarks. Int. J. Mod. Phys. A 30 (2015) 1550132

work page 2015
[6]

Juodzbalis, R

I. Juodzbalis, R. Maiolino, W. M. Baker, et al. A dormant overmassive black hole in the early Universe. Nature 636 (2024) 594-597 – 3 –

work page 2024

Pith tools

Reviewed August 6, 2026 · model on record in the stance chip above.

[1] [1]

Kosov Masses of 92 1s-Hadrons in Chiral-Invariant Phase Space Model

M. Kosov Masses of 92 1s-Hadrons in Chiral-Invariant Phase Space Model. Phys. Atomic Nucl. 88 (2025) 210-219

work page 2025

[2] [2]

C. D. Froggatt, H. B. Nielsen, L. V. Laperashvili Hierarchy-problem and a bound state of 6 t and 6 anti-t. Int. J. Mod. Phys. A 20 (2005) 1268

work page 2005

[3] [3]

M. Yu. Kuchieve, V. V. Flambaum, E. V. Shuryak On bound states of multiple t-quarks due to Higgs exchange. Phys. Rev. D 78 (2008) 077502 – 2 – Figure 3 . Diagrams of the bound 3t-baryon state

work page 2008

[4] [4]

De Santis Higgs interchange and bound states of super-heavy fermions

M. De Santis Higgs interchange and bound states of super-heavy fermions. Pramana 81 (2013) 467

work page 2013

[5] [5]

C. D. Froggatt, C. R. Das, L. V. Laperashvili, H. B. Nielsen Diphoton decay of the Higgs boson and new bound states of top and anti-top quarks. Int. J. Mod. Phys. A 30 (2015) 1550132

work page 2015

[6] [6]

Juodzbalis, R

I. Juodzbalis, R. Maiolino, W. M. Baker, et al. A dormant overmassive black hole in the early Universe. Nature 636 (2024) 594-597 – 3 –

work page 2024