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arxiv: 2604.03381 · v2 · submitted 2026-04-03 · 🌌 astro-ph.CO

Big Bang Nucleosynthesis Constraints on the CCC+TL Cosmology

Rajendra P. Gupta , Nikolaos Samaras This is my paper

Pith reviewed 2026-05-13 18:10 UTC · model grok-4.3

classification 🌌 astro-ph.CO
keywords big bang nucleosynthesisCCC+TL cosmologycovarying coupling constantslight element abundancestired lightneutron lifetimelithium problem
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The pith

CCC+TL cosmology preserves standard Big Bang nucleosynthesis abundances when interaction rates scale with the Hubble rate.

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

The paper examines whether the Covarying Coupling Constants plus Tired Light model conflicts with observed light-element abundances produced in the first minutes after the Big Bang. In this model, dimensionful quantities scale by a universal function f(z) that reaches a plateau value near 3 at BBN redshifts, which slows the expansion rate at fixed temperature and lengthens the time available for reactions. The central result is that abundances stay identical to the standard model once the relevant reaction rates and neutron lifetime are also scaled by the same plateau factor, leaving the controlling ratios unchanged. Numerical integration of the nucleosynthesis network confirms that the two cases agree to parts in a thousand. The authors further show that adopting the lower baryon density favored by late-time CCC+TL fits reduces the lithium discrepancy while increasing the deuterium yield.

Core claim

At BBN redshifts the CCC+TL Hubble rate satisfies H_CTL(T) = f_max^{-1} H_ΛCDM(T) with f_max ≈ 3, increasing the cooling time Δt by the same factor; BBN yields remain identical to ΛCDM provided the interaction rates Γ and neutron lifetime τ_n are rescaled by f_max so that Γ/H and exp(−Δt/τ_n) stay invariant, and direct implementation in the NUC123 network with control parameter fctl = 3 reproduces standard abundances to 10^{-3}–10^{-4} precision.

What carries the argument

The plateau scaling f_max applied uniformly to the Hubble rate, interaction rates Γ, and neutron lifetime τ_n, which leaves the dimensionless combinations Γ/H and exp(−Δt/τ_n) invariant.

If this is right

  • Light-element yields match standard predictions for f_max = 3 to within numerical rounding.
  • BBN does not exclude the CCC+TL model when the scaling assumption holds.
  • Lower baryon density from Pantheon+ fits reduces the ^7Li problem but raises D/H.
  • The tired-light term is negligible at BBN redshifts, so only the covarying-constants part affects early dynamics.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The same uniform scaling could be tested against CMB anisotropies or other early-universe observables that depend on the same dimensionless ratios.
  • If the scaling holds for weak rates but not for strong rates, BBN could become a sharp discriminator between CCC+TL variants.
  • Updated nuclear rate libraries could be rerun with fctl = 3 to check whether the 10^{-4} agreement persists at higher precision.

Load-bearing premise

Interaction rates and the neutron lifetime must scale by exactly the same plateau factor as the Hubble rate during BBN.

What would settle it

A BBN calculation in which reaction rates and τ_n are left unscaled while H is reduced by f_max = 3, producing abundance shifts larger than 0.1 percent.

read the original abstract

We investigate whether Big Bang nucleosynthesis (BBN) remains compatible with the Covarying Coupling Constants plus Tired Light (CCC+TL) cosmology. In this framework, only quantities with explicit length dimensionality covary through a universal scaling function $f \left( z \right)$, while dimensionless constants and dimensionless ratios remain invariant. At the redshifts $z$ relevant to BBN, $f \left( z \right )$ approaches a constant plateau $f_{\text{max}} \left( z \right) \simeq 3$, and the tired-light contribution is negligible, so the early-time dynamics reduce to a global rescaling of dimensioned quantities. In particular, the Hubble expansion rate $H$ at fixed temperature $T$ satisfies $H_{\text{CTL}} \left( T \right) = f^{-1}_{\text{max}} H_{\Lambda\text{CDM}}\left( T\right)$, implying a longer cooling time $\Delta t$ between weak freeze-out and the onset of nucleosynthesis by the same factor (CCC+TL labeled as $\textit{CTL}$). We find that BBN predictions are preserved provided the relevant interaction rates $\Gamma$ and decay rates governing the neutron lifetime ${\tau}_n$ share the same plateau scaling as $H$, so that governing combinations such as $\Gamma\text{/}H$ and $\text{exp} \left( -\Delta t \text{/} {\tau}_n \right)$ remain invariant. Implementing these plateau rescalings in the Kawano/NUC123 network (via a single control parameter $\texttt{fctl} \equiv f_{\text{max}}$) yields identical light-element abundances for $\texttt{fctl}= 1$ ($\Lambda$CDM) and $\texttt{fctl} = 3\left( \text{CCC+TL} \right)$ to within $10^{-3} - 10^{-4}$ level, consistent with numerical rounding. We also illustrate that adopting the lower late-time CCC+TL baryon density from the Pantheon+ data fit can reduce the ${}^7\text{Li}$ discrepancy but simultaneously increases D/H, implying that BBN alone does not select between the late-time baryon-density inferences considered here.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 2 minor

Summary. The manuscript examines whether Big Bang nucleosynthesis (BBN) remains compatible with the Covarying Coupling Constants plus Tired Light (CCC+TL) cosmology. At BBN redshifts the model reduces to a global rescaling of dimensionful quantities by a plateau value f_max ≃ 3, yielding H_CTL(T) = f_max^{-1} H_ΛCDM(T) and a correspondingly longer cooling interval Δt. The central result is that light-element yields are unchanged provided interaction rates Γ and the neutron lifetime τ_n are rescaled by the identical factor, preserving the dimensionless combinations Γ/H and exp(−Δt/τ_n). Implementation of this rescaling via a single control parameter fctl in a modified Kawano/NUC123 network produces abundances identical to the standard case to within 10^{-3}–10^{-4}. The paper also shows that adopting the lower late-time baryon density inferred from Pantheon+ data reduces the ^7Li discrepancy while increasing D/H.

Significance. If the shared plateau-scaling assumption holds, the work demonstrates that CCC+TL cosmology is fully consistent with standard BBN predictions and therefore receives no additional constraint from light-element abundances. The numerical verification in the modified NUC123 network is a clear strength, confirming invariance to high precision. The secondary exploration of baryon-density effects on the lithium and deuterium abundances provides a concrete illustration of how late-time inferences can be tested against BBN data within the same framework.

major comments (1)
  1. [Abstract and §4 (numerical implementation)] The invariance of BBN yields follows directly once Γ and τ_n are required to share the same f_max scaling as H; the numerical run therefore functions primarily as a consistency check of the imposed rescaling rather than an independent test of the underlying CCC+TL dynamics. This conditional character of the result should be stated more explicitly in the abstract and conclusion.
minor comments (2)
  1. [§3] The definition of the control parameter fctl ≡ f_max is introduced late; moving its explicit definition to the first paragraph of §3 would improve readability.
  2. [Results section] Table 1 (or equivalent abundance table) would benefit from an additional column listing the absolute difference between the fctl=1 and fctl=3 runs to make the 10^{-3}–10^{-4} agreement immediately visible.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the careful reading, positive assessment, and recommendation to accept the manuscript. We address the single major comment below.

read point-by-point responses

  1. Referee: [Abstract and §4 (numerical implementation)] The invariance of BBN yields follows directly once Γ and τ_n are required to share the same f_max scaling as H; the numerical run therefore functions primarily as a consistency check of the imposed rescaling rather than an independent test of the underlying CCC+TL dynamics. This conditional character of the result should be stated more explicitly in the abstract and conclusion.

    Authors: We agree that the invariance of the light-element yields follows directly from the shared f_max scaling of Γ, τ_n, and H under the plateau assumption of the CCC+TL model at BBN redshifts. The numerical implementation in the modified Kawano/NUC123 network serves to confirm that this rescaling is applied consistently and yields abundances identical to the standard case within numerical precision. We will revise both the abstract and the conclusion to state this conditional character more explicitly, clarifying that the result holds provided the relevant rates share the same plateau scaling as the expansion rate. revision: yes

Circularity Check

1 steps flagged

BBN invariance follows by construction once rates are assumed to share f_max scaling with H

specific steps
  1. self definitional [Abstract]
    "We find that BBN predictions are preserved provided the relevant interaction rates Γ and decay rates governing the neutron lifetime τn share the same plateau scaling as H, so that governing combinations such as Γ/H and exp(−Δt/τn) remain invariant."

    The invariance of Γ/H and exp(−Δt/τn) is true by direct algebraic substitution once Γ and τn are posited to scale with exactly the same f_max that rescales H and Δt. The subsequent statement that abundances are preserved, and the numerical confirmation to 10^{-3}–10^{-4}, therefore follows tautologically from the shared-scaling premise rather than from any additional dynamical content.

full rationale

The paper conditions its central claim on the assumption that Γ and τn scale identically with the same f_max as H (and thus Δt). Under that assumption the dimensionless ratios Γ/H and Δt/τn are algebraically invariant, so the numerical NUC123 run with fctl=3 simply reproduces the same abundances by implementing the assumption. No independent first-principles derivation of the shared scaling is supplied; the result is therefore equivalent to the input assumption rather than a test of the cosmology.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The central claim rests on the single assumption that rates covary identically with the Hubble rate; no new entities are introduced and the only free parameter is the plateau value taken from the model definition.

free parameters (1)
  • fctl = 3
    Plateau value f_max at BBN redshifts, set to 3 from the CCC+TL model definition and late-time fits.
axioms (1)
  • domain assumption Interaction rates Γ and neutron lifetime τn scale with the same plateau factor f_max as the Hubble rate H
    Invoked to keep the ratios Γ/H and Δt/τn invariant so that abundances are unchanged.

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