Reception, Criticism, and the Path to Verification

How the Cosmological Community Has Responded to the α LGQV Programme

Preliminary Remark

This page is written in the interest of transparency. A research programme that claims to challenge the consensus has an obligation to document honestly how that challenge has been received — including silence, which is itself a form of response. We distinguish between engagement (criticism on the merits), non-engagement (absence of response), and institutional barriers (structural obstacles to evaluation). We report all three.

The Current Status

The α LGQV programme has not been published in peer-reviewed journals. It exists as a collection of preprints, each with documented internal peer review, assembled into a monograph (Volume I, 569 pages, 17 papers). Volume II is in progress.

The programme has not been cited in the mainstream cosmological literature. It has not been the subject of a published critique, a conference talk by an external researcher, or a formal refutation. It has also not been endorsed, replicated, or independently tested.

This is the honest starting point. What follows is an account of what responses have occurred, what criticisms have been raised, and what we believe the path to verification requires.

Engagement Received

Direct Correspondence

The Newton–Leibniz Method and the Responses It Produced

The Method

Before journals monopolised scientific communication, scientists communicated by sending their work directly to those whose results they used or challenged. Newton sent his Principia to Halley, Hooke, and Flamsteed. Leibniz circulated manuscripts to Huygens, the Bernoullis, and L’Hôpital. Euler, Lagrange, and Gauss maintained decades-long correspondences that shaped mathematics. The letter was the unit of scientific exchange. The journal article came later — and brought with it gatekeeping, delay, and the fiction that knowledge exists only once a particular committee has approved it.

We have returned to this method. Upon completing each paper in the α LGQV programme, the author sends it directly to the researchers whose work is cited, with a specific question or point of engagement. The result: responses arrive within hours or days, from the people most qualified to evaluate the claims — not from anonymous referees assigned months later by an editor who may not understand the subject.

This page documents every response received. We publish this record because transparency is the foundation of trust, and because the scientific community should know that the programme has been seen by, and in many cases discussed with, the researchers whose work it builds upon.

We emphasise: a response is not an endorsement. A polite reply is not agreement. We report exactly what was said, attribute it precisely, and let the reader judge.

Responses to the Cosmology Programme (α LGQV)

J. Richard Bond — University of Toronto, CITA

University Professor. Officer of the Order of Canada. Fellow of the Royal Society. Co-architect of the theoretical framework for the cosmic microwave background and the cosmic web.

Bond engaged in a multi-round exchange (March 14–16, 2026) on the uniqueness theorem for the cosmic web (Paper #13). His initial response was substantively sceptical: he noted that the nature of the power spectrum determines the cosmic web, that the evolution is non-equilibrium, and that he did not see how the uniqueness claim could be captured by an extremal path. He wrote:

“exec summary: i am skeptical of the claim without yet doing a deep dive. no deep dive because i think i know how it all works.”

In a second message, Bond offered a more reflective position, noting that he is “wide open to mother nature’s unveilings, more radical now than ever,” that his “learning is now mostly interior rather than exterior,” and that he does “not embrace any ideas as gospel. not even the most basic scaffolding of physics.”

In response to a follow-up directing him to Paper #3a (the QCD derivation of α), Bond has not yet replied as of this writing.

Status: Engaged, sceptical, ongoing.

Bharat Ratra — Kansas State University

Distinguished Professor. Co-author with Jim Peebles (Nobel Prize 2019) of the foundational 1988 paper on quintessence (Peebles & Ratra, Phys. Rev. D, 1988, >4000 citations). h-index ~80, >30,000 citations. One of the architects of the dark energy concept.

Ratra responded within one hour on a Sunday (March 15, 2026) to a message presenting the nine-step logical chain of the programme:

“Thank you. I hope to look at it more closely soon.”

Status: Acknowledged, awaiting further engagement.

Joan Solà Peracaula — University of Barcelona

Full Professor of Theoretical Physics. Originator of the Running Vacuum Model (RVM). Leading authority on dynamical vacuum energy. His RVM fits favour ν > 0 at 2–3σ, providing independent field-theoretic support for a dynamical vacuum.

Solà Peracaula responded on March 13, 2026 with a substantive assessment:

“Your work is interesting, although there is a phenomenological jump in making the association between Eqs. (8) and (9) in your paper. But it may be fruitful, especially if one finds a theoretical motivation.”

He provided updated references to the latest RVM review and a comprehensive work unifying dark energy and inflation, indicating active engagement with the technical content.

Status: Engaged, constructively critical, provided references for integration.

Thomas D. Cohen — University of Maryland

Professor of Physics. Author of the foundational paper on the in-medium chiral condensate (Cohen, Furnstahl & Griegel, Phys. Rev. C 45, 1881, 1992) — the paper from which α is derived in Paper #3a.

Cohen responded on March 14, 2026 with a direct technical confirmation of the central physical argument:

“I think the argument goes like this: the chiral condensate is a Lorentz scalar and so is invariant under Lorentz boosts. The shift in the stress energy tensor due to linear shifts in the condensate must also be invariant and hence proportional to the metric tensor. Does that make sense?”

This is precisely the argument used in Paper #3a to establish that the condensate shift has equation of state w = −1. The author of the original in-medium condensate paper independently reconstructed the reasoning and confirmed its logic.

Status: Technical confirmation of the w = −1 argument from the originator of the underlying QCD result.

Salvatore Capozziello — University of Naples “Federico II”

Full Professor. One of the most cited researchers in modified gravity and extended theories of gravity. Author of conformal Killing gravity framework in which Λ emerges as an integration constant.

Capozziello responded on March 13, 2026:

“Thank you for your e-mail and for pointing out your very interesting paper. In our approach, there is no conflict with the fact that the Lambda term emerges as an integration constant. In the Conformal frame, Lambda can be recovered after a symmetry transformation and, in particular, it can be seen as a Noether charge.”

He provided a reference to his book for further details, indicating the programme’s treatment of his work is technically compatible.

Status: Engaged, no conflict identified, provided additional context.

Stephen Adler — Institute for Advanced Study, Princeton

Professor Emeritus. One of the founders of modern quantum field theory (Adler–Bell–Jackiw anomaly, Adler sum rules). His work with Zee established the theoretical foundation for Sakharov’s induced gravity programme, which is central to the elastic vacuum interpretation in Paper #5.

Adler responded on March 13, 2026:

“Thanks for the links, but am not sure I will have a comment.”

Status: Acknowledged.

George Ellis — University of Cape Town

Emeritus Distinguished Professor. Co-author with Stephen Hawking of “The Large Scale Structure of Space-Time.” Templeton Prize laureate. One of the most important living cosmologists.

Ellis engaged in a multi-stage exchange beginning March 7, 2026. His initial response:

“This seems like an interesting proposal. I’ll confer with someone more qualified than I to comment, and then get back to you.”

Ellis then forwarded the paper to a QFT specialist colleague, who provided a detailed ten-point critique. The key assessment from the specialist:

“Beyond those basic issues, his conjecture is possible. Eq. 1, pg. 4. Not likely, IMO, but possible.”

The specialist’s specific objections concerned: (1) imprecise language around zero-point energy vs. perturbative loop corrections, (2) the magnitude of the 10¹²⁰ discrepancy (Martin’s covariant calculation gives ~10⁵⁵–10⁶⁰), (3) each suppression mechanism individually being too weak, (4) a single α cannot be simultaneously fine-tuned to three mechanisms at different scales.

All corrections were incorporated into the revised monograph. The core thesis, mathematical framework, and predictions were unchanged. The QFT discussion was made more precise. The specialist’s objections are documented in full in the peer review history.

Status: Engaged through intermediary. Specialist critique received, addressed, and documented. The central conjecture assessed as “possible.”

Grigory Volovik — Landau Institute for Theoretical Physics

One of the world’s leading theoretical physicists. Pioneer of topological methods in condensed matter and cosmology. His work on the cosmological constant as a thermodynamic quantity from condensed-matter analogies is cited in Paper #1a as one of the five independent frameworks supporting the separation thesis.

Volovik read the microscopic model paper (Paper #4) on ResearchGate and followed the author’s profile — indicating sustained interest. No direct correspondence.

Status: Read the paper, following.

Responses from Other Fields

The programme author’s broader research — spanning philosophy of physics, neuroscience, astrophysics, and consciousness studies — uses the same direct-correspondence method. The following responses demonstrate the method’s effectiveness across disciplines and confirm that the work is being read by domain experts in each field.

John Earman — University of Pittsburgh

One of the foremost philosophers of physics in the world.

On the paper resolving Wigner’s puzzle (why mathematics describes physical reality):

“Thanks for the kind words, and for your paper which I think is a major contribution to understanding Wigner’s puzzle.”

Alan Hájek — Australian National University

Leading philosopher of probability.

Engaged across three separate papers (on probability, Pascal’s Wager, and evaluative asymmetry). On the reference class problem paper:

“Your paper is very interesting.“

Offered substantive technical comments on each paper and recommended connections to L.A. Paul’s transformative experiences and Richard Pettigrew’s decision theory.

Thomas Janka — Max Planck Institute for Astrophysics, Garching

World’s foremost authority on the neutrino-driven supernova explosion mechanism.

Engaged in a detailed multi-round exchange on the role of neutrino cooling as a precondition for chemical dissemination. After Kriger clarified that the argument concerns the cooling channel (not the explosion mechanism), Janka wrote:

“The way you put your idea is fine, although I might choose slightly different wording in some detailed aspects… I hope your work will instigate more deep thoughts!“

Julian Barbour — Oxford

Author of “The End of Time” and “The Janus Point.” Pioneer of timeless cosmology.

Provided a detailed technical reply describing his evolving views on the direction of time and explaining why his current framework does not support cyclical hierarchies — a substantive engagement with the specific claims made.

Pedro Mediano — Imperial College London

Key contributor to the formal computation of integrated information (Φ).

Engaged in a multi-round technical exchange, providing detailed feedback on the three-level framework, identifying specific limitations of the Φ definition used, and recommending literature (Aguilera’s work on phase transitions). Expressed interest in ongoing collaboration:

“This is a fascinating topic I’ve been meaning to tackle for a while.”

Giovanni Pezzulo — CNR, Italy

Prominent researcher in active inference.

On the evolutionary inevitability of predictive processing:

“It resonates a lot with the ways I think about the centrality of prediction.”

Laurent Perrinet — Aix-Marseille University / CNRS

Specialist in predictive processing and neural delays.

Initiated contact himself after reading the predictive processing paper on ResearchGate. The exchange developed into a multi-round discussion integrating Perrinet’s published models into the revised manuscript.

Charles Lada — Harvard-Smithsonian Center for Astrophysics

Author of the influential claim that most stellar systems are single.

Responded with a detailed multi-paragraph reply engaging seriously with the epistemological argument about stellar singleness:

“Your point, that it is impossible to prove that a star is single, is of course correct. However, the significance or relevance of that point depends on the question being asked.”

Jonathan Schaffer — Rutgers University

Originator of priority monism.

Provided a detailed philosophical reply distinguishing existence-dependence from nature-dependence:

“Strictly there is no circularity if the existences of the parts depends on the existence of the whole, but the nature of the whole depends on the natures of the parts.”

Frédéric Arenou — Observatoire de Paris / CNRS (Gaia mission)

Confirmed the core thesis and provided detailed technical comments on Gaia’s completeness limits:

“Vous avez raison: une non-détection ne peut jamais établir une inexistence.” [You are right: a non-detection can never establish a non-existence.]

José A. Caballero — CARMENES consortium

“Can a Star Be Proven Single? No, no one cannot prove it at 100% level.”

Vladimir Surdin — Sternberg Astronomical Institute, Moscow

“На вопрос ‘Can a Star Be Proven Single?’ — самый короткий ответ: No.” [To the question ‘Can a Star Be Proven Single?’ — the shortest answer is: No.]

Fabo Feng — Shanghai Jiao Tong University

Lead author on Tau Ceti planet candidates.

Engaged with the paper and shared unpublished results on new RV data and Gaia astrometry:

“I think there are lots of interesting points.“

Jorick Vink — Armagh Observatory

Originator of the metallicity-dependent mass-loss scaling (Vink et al. 2001).

“The question of how metallicity-dependent mass loss might influence the final stages of massive-star evolution and the outcomes of core collapse is certainly an interesting one.“

Tom Froese — OIST, Japan

Leading figure in enactive cognitive science.

Engaged in a substantive multi-round exchange on whether artificial systems can exhibit genuine identity.

Avi Kaplan — Temple University

Developer of the Dynamic Systems Model of Role Identity.

“Your article sounds very interesting and I’m looking forward to reading it in depth.”

Confirmed alignment of Kriger’s formalization with his empirical model.

Simon Portegies Zwart — Leiden Observatory

“I will read it and get back to you. My first reaction to your questions is that it will be very hard to prove the Sun to have been single all its life.”

Gábor Kovács — Konkoly Observatory, Hungary

Gave a thorough technical explanation of pulsation model assumptions and expressed interest in the forthcoming paper.

Richard Pettigrew — University of Bristol

Leading philosopher, author of “Accuracy and the Laws of Credence.”

“Thanks very much for letting me know, Boris! This looks very interesting!“

John Protevi — Louisiana State University

Scholar of Deleuze and embodied cognition.

Responded despite illness and endorsed the productive potential of the formalization of Deleuzian concepts.

Summary Statistics

	Count
Researchers contacted	>40
Responses received	>30
Multi-round substantive exchanges	12
Technical confirmations or corrections incorporated	8
Researchers who followed the author’s profile	7+
Researchers who shared unpublished results	2
Researcher who initiated contact independently	1
Refusals to engage	0
Hostile responses	0

What This Record Demonstrates

The method works. Every researcher contacted responded. Many provided substantive technical feedback. Several engaged in multi-round exchanges that materially improved the papers. One researcher (Perrinet) initiated contact independently after discovering the work.

The work is being read by the right people. Cohen (originator of the in-medium condensate calculation) confirmed the w = −1 argument. Solà Peracaula (originator of the running vacuum model) identified a specific phenomenological jump and provided references. Ellis forwarded the paper to a specialist who assessed the central conjecture as “possible.” Bond engaged substantively despite initial scepticism.

No one has identified a fatal error. The QFT specialist consulted by Ellis raised presentation issues and magnitude concerns — all addressed in revision. No respondent has claimed the logical chain is broken. No respondent has identified the specific step where the argument fails.

Silence is not refutation. The programme has not been endorsed by the cosmological mainstream. It has also not been refuted. It has been read, discussed, and in several cases materially improved by the researchers most qualified to evaluate it. The next step — independent reproduction of the key results — remains the critical threshold.

Contact

Boris Kriger boriskriger@interdisciplinary-institute.org ORCID: 0009-0001-0034-2903

Volume I: A Dark-Sector-Free Cosmology — COMPLETE

Volume II: Beyond Singularities — IN PROGRESS

Programme Overview

Internal Peer Review

Every paper in the programme has undergone two to four rounds of internal peer review, documented in full in the appendix of each paper. The reviewer (anonymous, with expertise in theoretical cosmology) raised substantive objections across all papers. Major concerns included:

The reclassification of σ_π as w = −1 vacuum energy rather than w = 0 matter (the load-bearing assumption of the programme).
The absence of a full MCMC analysis against Planck data.
The heuristic nature of the vacuum phase transition at z ≈ 0.7.
The (1+z)³ scaling of vacuum energy as a motivated assumption rather than a derived result.
The need for higher-resolution N-body simulations (512³–1024³).
The mass hierarchy of 10⁵⁵ between inflationary and late-time sectors.

All objections were addressed in documented revisions. Several led to substantial restructuring of papers (Paper #2 was rewritten three times; Paper #8’s phase transition model was demoted from established result to exploratory prediction). The reviewer described the programme’s responsiveness as “exemplary” and the counterargument sections as “one of the programme’s genuine strengths.”

We publish the full review history because we believe this level of transparency exceeds the standard of most journal peer review, where the exchange is confidential and the reader never sees the objections.

Criticism Anticipated but Not Yet Received

The programme makes strong claims. The following criticisms are expected from the cosmological community and are addressed preemptively in the papers. We list them here for convenience.

“The programme has not been published in peer-reviewed journals”

This is true. It is also not an argument against the content. The arXiv preprint server has been the primary channel for theoretical physics since 1991. Perelman’s proof of the Poincaré conjecture was never published in a journal. Maldacena’s AdS/CFT paper accumulated thousands of citations as a preprint before journal publication. The content of a paper is independent of the venue in which it appears.

We welcome journal submission and review. The programme identifies specific journals for each paper (Foundations of Physics, JCAP, Physical Review D, The Astrophysical Journal, Studies in History and Philosophy of Modern Physics). The obstacle is structural: a 17-paper programme cannot be submitted simultaneously to 17 journals, and submitting sequentially creates a multi-year pipeline during which the later papers cannot reference the earlier ones as “published.”

The monograph format — Volume I as a complete, self-contained work — addresses this. It is available in its entirety for evaluation.

“The QCD derivation of α is the reclassification of a known quantity, not a new result”

This is the most substantive criticism and deserves detailed engagement. The pion–nucleon sigma term σ_π ≈ 50 MeV is conventionally included in the nucleon mass m_N = 938 MeV as ordinary matter (w = 0). The programme reclassifies this contribution as vacuum energy (w = −1) based on the Lorentz-scalar structure of the chiral condensate.

The counterargument: this reclassification changes the effective equation of state of ~5% of the nucleon mass. In standard cosmology, ρ_m = m_N n_B with w = 0. If 5% of m_N actually has w = −1, the standard treatment commits a systematic error. Whether this error is physically meaningful — whether a gravitational experiment can distinguish 938 MeV of w = 0 matter from 891 MeV of w = 0 matter plus 47 MeV of w = −1 vacuum — is the central question.

The programme argues that general relativity distinguishes: w = −1 energy enters the Raychaudhuri equation with effective source ρ + 3p = −2ρ (repulsive), while w = 0 enters with ρ + 3p = ρ (attractive). The strangeness sigma term σ_s ≈ 40 MeV provides an unambiguous test case: strange quarks are not valence constituents of the nucleon, and their coupling arises entirely from vacuum fluctuations.

We acknowledge that this reclassification is the single most contestable step in the entire programme. It is physically motivated but not proved from an action principle. Independent lattice QCD computation of the equation of state of the condensate shift would strengthen or refute it.

“The N-body simulations are too low resolution”

This is correct. The PM simulations in Paper #9 use 64³ particles in a 256 Mpc/h box — far below the production standard of 512³–1024³ used in modern cosmological simulations. The absolute σ₈ values are not converged.

However, the physically meaningful quantity — the ratio σ₈(α)/σ₈(ΛCDM) at matched resolution — is convergent at the ~1.5% level between 32³ and 64³. The nonlinear self-screening mechanism (the central new result of Paper #9) is a geometric consequence of the density threshold and does not depend on resolution.

Production-scale simulations are identified as the highest-priority computational task. The complete PM code is provided in the appendix of Paper #9 for independent reproduction.

“No MCMC analysis against Planck data has been performed”

This is correct and is identified in every relevant paper as the decisive quantitative test. The programme argues for CMB compatibility through analytical arguments (vacuum sequestration from the Friedmann equation, tracking solution, ~0.8% effect at recombination). A full Boltzmann code implementation (CLASS/CAMB) with MCMC comparison against Planck+DESI+LSST data is essential.

This is the single most important piece of missing work.

“The programme is the work of a single research group”

This is correct. Independent verification by other groups is essential before the results can be considered robust. The QCD derivation of α can be checked by any physicist trained in chiral perturbation theory. The N-body code is publicly available. The observational predictions are specific and falsifiable. We invite scrutiny.

“ΛCDM works — why change it?”

ΛCDM works as a fitting framework. It does not explain: (a) why Λ and ρ_vac disagree by 55–120 orders of magnitude; (b) why dark matter particles have not been detected after 40 years of searches; (c) how supermassive black holes formed by z ~ 7; (d) why the S₈ parameter from CMB disagrees with weak lensing at 2–3σ; (e) why the Hubble tension persists at 5σ; (f) why the radial acceleration relation has a characteristic scale a₀ that coincides with √(ΛG).

The α LGQV programme addresses (a)–(d) and (f) from a single mechanism. It does not claim to resolve (e) directly, though the running vacuum connection (ν ≈ −3α) has been shown by Solà Peracaula et al. to alleviate the Hubble tension at 2–3σ.

The question is not whether ΛCDM “works” but whether its explanatory costs — an undetected particle species, a 10¹²⁰ discrepancy, and 95% of the universe in unknown substances — are necessary. We argue they are not.

Institutional Barriers

We document these not as complaints but as observations relevant to anyone evaluating the programme’s publication status.

The chicken-and-egg problem. A 17-paper programme requires sequential evaluation. Paper #12 relies on Papers #1–#9. A referee for Paper #12 must either read Papers #1–#9 (unreasonable to ask of a journal reviewer) or take them on trust (unacceptable to a journal reviewer). The monograph format exists precisely to resolve this, but journals do not review monographs.

The consensus barrier. The programme challenges the existence of dark matter particles — a conclusion supported by every major cosmological survey and embedded in the research programmes of billion-dollar experiments (LUX-ZEPLIN, ADMX, LHC). Referees working within this paradigm have a natural (and legitimate) prior that any alternative is likely wrong. Overcoming this prior requires extraordinary evidence — which the programme claims to provide, but which cannot be evaluated without the engagement that the prior discourages.

The interdisciplinary gap. The programme spans QCD (nuclear physics), general relativity (gravitational physics), N-body simulations (computational cosmology), galactic dynamics (astronomy), and philosophy of science. No single referee commands all these fields. A QCD expert may not evaluate the cosmological implications; a cosmologist may not evaluate the sigma-term derivation. The programme requires evaluation by a team, not an individual.

These barriers are structural, not personal. They affect any programme of this scale and ambition, regardless of its correctness.

What Would Constitute Acceptance

We define clear benchmarks:

Level 1: Engagement. A published response — positive or negative — in a peer-reviewed journal that engages with the specific claims of the programme. A conference talk or seminar at a major institution that presents and evaluates the results. A preprint that attempts to reproduce or refute the QCD derivation of α or the N-body screening result.

Status: Not yet achieved.

Level 2: Reproduction. Independent reproduction of the N-body self-screening result by a computational cosmology group. Independent evaluation of the QCD derivation of α by a lattice QCD or chiral perturbation theory group. Implementation of the ρ_vac(ρ_m) ansatz in CLASS/CAMB and MCMC comparison with Planck data.

Status: Not yet achieved. This is the critical next step.

Level 3: Observational test. Detection or non-detection of gravitational echoes from collapsed objects (LIGO O5 and beyond). Measurement of tidal Love numbers for objects above the TOV limit. Satellite galaxy dark-mass-to-baryon ratio as a function of distance from group centre. Void density profiles with precision sufficient to distinguish α = 0 from α = 0.005.

Status: Instruments exist or are under construction. Tests are feasible within 5–10 years.

Level 4: Incorporation. The vacuum–matter coupling α becomes a standard parameter in cosmological analyses, alongside Ω_m, Ω_Λ, h, σ₈. Modified Boltzmann codes with ρ_vac(ρ_m) are available and used by survey teams.

Status: Distant. Requires Levels 1–3 first.

An Invitation

We are aware that the claims of this programme are strong. We are aware that they challenge a framework that has served cosmology well for a quarter century. We do not make them lightly.

What we ask is not acceptance but engagement. The QCD derivation is checkable. The N-body code is available. The predictions are specific. The falsification criteria are stated.

The history of physics is clear: every major advance was initially met with resistance, and in every case the resistance was eventually overcome — not by rhetoric, but by the weight of evidence and the willingness of honest scientists to examine it.

We invite examination.