The Aeon Before Ours · source record · paper

Gravitational wave stochastic background from cosmological particle decay

Bruce Allen · 2020

AI-verified citationSRC-ALLEN-2020

identifier / locator: doi:10.1103/PhysRevResearch.2.012034
url: https://arxiv.org/pdf/1910.08213
verification note: text retrieved and shown to the drafter on 2026-09-10 (run 2026-09-10-draft-ccc-191834); passages checked by the verify verb
reliability notes: Phys. Rev. Research 2, 012034(R) (2020), Rapid Communication, CC-BY 4.0; DOI resolved (via OpenAlex open-access copy) to the same text as arXiv:1910.08213.
The paper states it 'was originally motivated by Penrose's conformal cyclic cosmology' and cites Penrose arXiv:1707.04169 as ref. [2]; it is the only published calculation of the erebon gravitational-wave signature found by the report.
Narrow-model result: assumes a homogeneous cosmological population of neutral scalar dark-matter particles decaying to two massless particles; results should not be read as a verdict on erebons as dark matter (CCC-C007).

Evidence drawn from this source

Supports· moderateCCC-E042

Allen 2020 §III: the direct graviton background from Planck-mass erebon decay is ~95 orders of magnitude below LIGO's limit

what the source states: The source states that, for erebons decaying to two gravitons, 'since the lifetime τ must be greater than the Hubble time, we find Ω_GW(25 Hz) < 2 × 10⁻¹⁰³. Comparing with the current observational limit in Sec. II shows that this is below detectability in LIGO by about 95 orders of magnitude', the limit being the O1+O2 bound Ω₀ < 4 × 10⁻⁸.
what we infer: Directly addresses the mechanism Penrose invoked (decay into gravitational radiation) under a homogeneous cosmological population; the result concerns a stochastic background, not the impulsive individual events Penrose describes, so it is undermining rather than decisive.
limitations: Stochastic-background calculation; does not model an individual nearby impulsive event.
Assumes homogeneous cosmological dark matter; Penrose stresses galactic concentrations ~100× denser.
Second reader (claude-sonnet-5, 2026-09-10, run 2026-09-10-verify-ccc-192550, verify-v5) found the passage bears on CCC-C519 and not on CCC-C505; the link dropped at intake: The quoted passage matches the source exactly and is correctly located in §III on p.2, and it fairly restates the direct-spectrum result of Eq.(5) without overreach. However, this passage concerns only the 'direct' graviton spectrum, a distinct and much smaller contribution than the 'memory effect' (indirect) mechanism discussed in §IV that actually bears on Penrose's claim about correlated impulsive LIGO noise (CCC-C505); the record's link to C505 is unsupported by this locator, so only C519 is retained. For C519 the passage does not 'undermine' anything—it is the direct source of the very figures the claim states—so the correct direction is 'supports' rather than 'undermines'.
Direction set to "supports" (from "undermines") by the second reader (claude-sonnet-5, 2026-09-10, run 2026-09-10-verify-ccc-192550, verify-v5) at intake: The quoted passage matches the source exactly and is correctly located in §III on p.2, and it fairly restates the direct-spectrum result of Eq.(5) without overreach. However, this passage concerns only the 'direct' graviton spectrum, a distinct and much smaller contribution than the 'memory effect' (indirect) mechanism discussed in §IV that actually bears on Penrose's claim about correlated impulsive LIGO noise (CCC-C505); the record's link to C505 is unsupported by this locator, so only C519 is retained. For C519 the passage does not 'undermine' anything—it is the direct source of the very figures the claim states—so the correct direction is 'supports' rather than 'undermines'.

Bruce Allen (2020)AI-verified citationCCC-C519

Undermines· moderateCCC-E069

Allen 2020 §IV: even the larger 'memory-effect' background misses LIGO detectability by 35 orders of magnitude — part 2

what the source states: Despite dominating the direct part, the indirect contribution is still very small: in comparison with current LIGO limits, Ω_GW(25 Hz) < 6.7 × 10⁻⁴³ "misses detectability by 35 orders of magnitude".
what we infer: Together with CCC-E042 this converts CCC-R002 from 'nobody has looked' to 'the one quantitative calculation says a search would find nothing unless a different emission mechanism is specified'.
limitations: Same model limitations as CCC-E042.
Direction set to "supports" (from "undermines") by the second reader (claude-sonnet-5, 2026-09-10, run 2026-09-10-verify-ccc-192550, verify-v5) at intake: The quoted figure and phrase appear exactly at p.4 in the paragraph on the Planck-mass erebon memory-effect spectrum, and the statement is a faithful, non-exaggerated restatement of Allen's result. However, labeling this 'undermines' is only correct for CCC-C505 (it shows Penrose's erebon-decay GW conjecture is far below detectability); for a proposed claim not admitted at intake ('The gravitational-wave memory-effect background…'), which simply asserts this same Ω_GW value and 35-orders-of-magnitude gap, the source directly supports rather than undermines the claim, since it is the origin of that exact number.

Bruce Allen (2020)AI-verified citationCCC-C505

Context· weakCCC-E070

Allen 2020: the calculation constrains erebon GW detectability, not erebons as dark matter — part 1

what the source states: The results apply to "any neutral scalar dark matter particle which decays into two massless particles".
what we infer: CCC-C007 bundles the dark-matter identification with the detector-signal prediction; Allen's result bears only on the latter and leaves the former untouched. Recorded as qualifying so the negative result is not silently read as a verdict on the whole erebon hypothesis.
limitations: Narrow-model result by construction.
Direction set to "context" (from "qualifies") by the second reader (claude-sonnet-5, 2026-09-10, run 2026-09-10-verify-ccc-192550, verify-v5) at intake: The quote is accurately drawn from the introduction and reports Allen's generalization that his memory-effect calculation applies to any neutral scalar dark matter particle, not just erebons. This does not qualify or condition the truth of CCC-C007 (which asserts erebons decay and could register as GW signals); it merely notes that the physical mechanism is not unique to erebons, bearing on the topic without confirming, limiting, or denying the erebon-specific prediction. That makes it context rather than a qualifier.

Bruce Allen (2020)AI-verified citationCCC-C007

Context· weakCCC-E071

Allen 2020: the calculation constrains erebon GW detectability, not erebons as dark matter — part 3

what the source states: Erebons "are not stable, but have a lifetime" τ which is longer than the Hubble time.
what we infer: CCC-C007 bundles the dark-matter identification with the detector-signal prediction; Allen's result bears only on the latter and leaves the former untouched. Recorded as qualifying so the negative result is not silently read as a verdict on the whole erebon hypothesis.
limitations: Narrow-model result by construction.
Direction set to "context" (from "qualifies") by the second reader (claude-sonnet-5, 2026-09-10, run 2026-09-10-verify-ccc-192550, verify-v5) at intake: The passage merely restates Penrose's model assumption (erebon lifetime exceeds Hubble time) as background for Allen's own calculation; it neither affirms nor limits the truth of CCC-C007, so it functions as context rather than a qualification. The quote is accurate and the locator correct, and it does bear on CCC-C007 as background description of the erebon model.

Bruce Allen (2020)AI-verified citationCCC-C007

Qualifies· weakCCC-E072

Allen 2020: the calculation constrains erebon GW detectability, not erebons as dark matter — part 4

what the source states: The calculated GW background from erebon decay is "far too weak to observe with LIGO or other instruments".
what we infer: CCC-C007 bundles the dark-matter identification with the detector-signal prediction; Allen's result bears only on the latter and leaves the former untouched. Recorded as qualifying so the negative result is not silently read as a verdict on the whole erebon hypothesis.
limitations: Narrow-model result by construction.

Bruce Allen (2020)AI-verified citationCCC-C007