GOD PLAYS DICE™
Black holes
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Author’s hypothesisMethods release; no detection claimed; next test is a draft that is not preregistered or run.
Status reviewed 30 September 2026. This page describes proposed research by the site’s author. It is not established science, and a public repository record is not peer review.
On this page
Could a black hole reveal more than its mass and spin?
What the idea proposes
Author’s hypothesis. When two black holes merge, the new black hole “rings” as it settles down, a bit like a struck bell. This is called the ringdown, and it shows up in gravitational-wave signals. In Einstein’s theory, the notes depend mainly on the black hole’s mass and spin.
Ricardo’s Quantized Horizon Response (HRF) idea asks whether the edge of a black hole, its horizon, might respond in a way that changes those notes slightly. The current record (5 September 2026) is a methods release built around one very loud event, GW250114.
It shows that an archived calculation closely repeats a reference grid when assumptions are held fixed. But choosing a different released parameter row moves the best-fitting damping rate from 450 to 420 per second. It also works out why a finite measurement can never pin one exact value against every nearly equal value. A fair test must first say how big a difference it is looking for.
HRF is a separate research program. It is not part of the hypothesis in Ricardo’s book. The book lists horizon response among side projects that “are not evidence for the blast,” the book’s central idea (Appendix).
What it claims, and what it does not
What it claims: better test methods and clearer limits on what one event can show.
- It does not claim to have detected the HRF effect, quantized horizon area, or a quantum structure at a black hole. Nor does it claim that any value is exactly ln 4. That number came up in earlier versions’ analysis of GW250114 (see Corrections). It says it does not establish “a unified theory of everything.”
- Files in the record carry labels such as “RAW_REPRODUCTION_PASS” and “FINITE_COMPOSITE_METHODS_PASS_ONLY.” These mean the calculation was reproduced and the methods ran; they are not a detection. The same list also says “PHYSICAL_INTERPRETATION_LOCKED,” meaning no physical claim is allowed yet. Some file names use words such as “CERTIFICATE” and “VERIFICATION.” The record says its September audit “verifies supplied artifacts,” meaning it checks the files in the package. This page does not treat file names or labels as results.
- The record adds that the full reference analysis was not redone and that several checks are still incomplete. It says its September documents and checks were prepared with AI assistance and are not independent peer review.
- It is not an official LIGO/Virgo/KAGRA product.
- This page does not claim that HRF supports the book’s hypothesis or Ricardo’s other programs, or that they support HRF. The book’s simplest version expects black holes today to ring just as Einstein’s theory says (Ch. 6). The book says a lasting difference would first have to survive repeated independent checks. If it did, it “would invalidate the minimal assumption used here; it would not automatically support the blast” (Ch. 6).
The strongest challenge
The detector teams have tested many black-hole mergers. In a March 2026 study of their fourth catalog of events, they found the new black holes behaved as Einstein’s gravity predicts overall. They found no strong evidence of a difference and no sign of “echoes” after the ringdown. In July 2026, their tests on 168 events in the fifth catalog again found no evidence for physics beyond Einstein’s theory.
In both catalogs, one combined analysis put Einstein’s prediction near the edge of its results. The teams said this may come, at least in part, from the small number of events. Adding the very loud event GW250114 moved the results closer to Einstein’s theory. This is not a finding about HRF, and HRF’s record descriptions do not mention it.
For GW250114 itself, the teams found the ringdown matched an ordinary spinning black hole, within the precision they could reach. Using only the ringing after the signal’s peak, they pinned down the tones’ pitches to within about 30 percent of Einstein’s prediction. A fit to the whole signal put the main tone’s pitch within a few percent of Einstein’s prediction. The new horizon’s area was larger than the two starting areas added together. That is in line with Hawking’s area law, which says the total area of black-hole horizons cannot shrink. An independent search of GW250114 and two other events found no significant echoes.
A peer-reviewed study (Nature, June 2026) also reported a “direct wave” in GW250114. This is a part of the signal that the team ties to the new horizon. The study found its measured properties “in full agreement with theoretical predictions for a Kerr black hole,” meaning an ordinary spinning black hole. Whether this part of the signal really measures the horizon is now debated. A paper accepted by Physical Review D on 18 September 2026 questions the link. Four of the Nature study’s authors argue that the link holds, in a paper posted online in August 2026.
These are general tests of Einstein’s theory, not tests of HRF itself. The echo search looked for the long-lasting ringing that strong reflection would cause. HRF’s early versions proposed that the horizon sends back only a tiny part of an incoming wave. The “direct wave” in the Nature study is a part of the signal expected for an ordinary spinning black hole. It is not the same as the “direct-wave fringes” named in some HRF versions, which would come from that tiny reflection.
There is one more problem. The author has already looked at this event’s data. So a new analysis of it cannot be a truly blind test.
What would rule it out
The record does not yet state a sharp enough prediction to be ruled out. That is the main gap.
- A fair test would fix, before looking, how large an effect it seeks and how to score it, then use events not yet examined.
- If such tests keep finding ringdowns that match ordinary black holes at the needed precision, the idea loses room. The record’s draft plan says a single “no improvement” result would not be a blanket exclusion.
- Versions from December 2025 and January 2026 said the horizon’s response could only take certain strengths, in steps like the rungs of a ladder. The steps go on without end, each weaker than the last. The 24 December 2025 version said GW250114 could not reach even the strongest step. So results that match Einstein’s theory can rule out the strongest steps, but not the whole ladder. The Test Ledger lists this dated band of steps as “Committed — awaiting data.”
Corrections
- 30 September 2026 · What changed since earlier versions: This page follows the current record, v5.3 (5 September 2026). It is the newest of six versions on Zenodo. The numbering starts at v3; Zenodo lists no earlier version in this series. The older versions are still visible there. Some of them use stronger words than the current record, in their descriptions and in one February 2026 file name. The entries below list, by date, what the earlier versions said.
- 2025-12-24 · Version v3, Zenodo record 18050129: It described the work as turning “the horizon microstructure / information paradox debate into a single falsifiable program.” This refers to debates about very fine structure at the horizon, and about whether information that falls into a black hole is lost. This version named its core idea the Quantum Horizon Reflectivity Hypothesis. It said the horizon sends back only a tiny part of an incoming wave, and that this part comes in fixed steps. It called this a “preregistered” band, a word that means fixed in advance. It said GW250114’s measurements could not yet reach the band. No later version’s description withdraws the band, and the current record’s description does not mention it.
- 2025-12-30 and 2026-01-06 · Versions v4 and v5, Zenodo records 18103077 and 18166094: They restated the steps. They added another way to look for them: evenly spaced ripples across the signal’s frequencies, which they call “direct-wave fringes.” They included example prediction tables and search windows for GW250114, but their public descriptions do not state the values. Both said they were not a detection claim.
- 2025-12-24 to 2026-01-06 · One shared number, versions v3 to v5: These versions built the steps on powers of one number, about 0.244. Ricardo’s unification record from 24 December 2025 defines it as the square root of the muon’s mass divided by the tau’s mass. The muon and the tau are charged particles in the same family as the electron. The same number starts a pattern idea in his unification research. His book calls that idea “a line of thought rather than a claim” (Ch. 5). Several programs start from the same measured number; a shared number is not shared evidence.
- 2026-02-26 · Version v5.1, Zenodo record 18806067: It reported a problem with its computer search, which steps through a grid of values. The grid could artificially create an apparent cluster near one number, written ln 4, in its GW250114 analysis. It set out tests meant to break that effect.
- 2026-05-15 · Version v5.2, Zenodo record 20192925: It said its GW250114 analysis “remains grid-favored”: the grid effect was still the better explanation. It found its method for recovering the key value unstable in tests. It kept any physical reading of these results, including the steps, “locked” until the real detector data pass what it calls “preregistered” checks. The current record calls its next-test plan a draft that has not been run. The public descriptions do not say how that plan relates to those checks.
- 2026-09-05 · Current version v5.3, Zenodo record 22400638: It corrects a reversed label in one of its own audit reports. The record says its bounds and pass-or-fail decisions are unaffected. Its description no longer explains the steps, and its keywords no longer include “information paradox,” which every earlier version listed.
Related questions in the Library
Member explainers
Author’s hypothesis · Status: Methods release (v5.3, 5 September 2026); no detection claimed; next test is a draft that is not preregistered or run.
Author’s hypothesis. When two black holes merge, the new black hole “rings” as it settles down, a bit like a struck bell. This is called the ringdown, and it shows up in gravitational-wave signals. In Einstein’s theory, the notes depend mainly on the black hole’s mass and spin.
Could a Black Hole’s Horizon Leave a Hidden Signature? · Holy Grail collection, for All Access readers.
Sources
- Quantized Horizon Response (HRF): Composite-Alternative Separation and Fixed-Conditioning GW250114 Replay — v5.3 (DOI 10.5281/zenodo.22400638) (2026-09-05) — What the methods release shows, its limits, its erratum and its draft next protocol.
- The Research Desk, officialgodplaysdice.com (research snapshot 20 September 2026) (2026-09-20) — The field card, its question and the site’s own calibrated wording.
- LIGO, Virgo and KAGRA Collaborations, GWTC-4.0: Tests of General Relativity. III. Tests of the Remnants (2026-03-19) — Challenge: remnants consistent with Einstein’s gravity; no echoes; one combined analysis near the edge, which the teams said may come, at least in part, from the limited number of events and which weakened when GW250114 was added.
- LIGO, Virgo and KAGRA Collaborations, GW250114: testing Hawking’s area law and the Kerr nature of black holes (Physical Review Letters 135, 111403, published 10 September 2025) (2025-09-09) — Challenge: the event’s ringdown is consistent with an ordinary spinning (Kerr) black hole, with the tones’ pitches within about 30 percent; the new horizon’s area grew, in line with Hawking’s area law.
- Quantized Horizon Response (HRF) Rungs: ε-rung horizon reflectivity, ringdown deviations, and echo-delay triangulation (black-hole-only toolkit + preprint v3) (DOI 10.5281/zenodo.18050129) (2025-12-24) — What changed since earlier versions: the v3 wording, the Quantum Horizon Reflectivity Hypothesis, the “preregistered” band of steps and GW250114 not yet reaching it; the ladder with no last step (Test Ledger row).
- Quantized Horizon Response (HRF) Rungs: τ-lattice horizon optical depth + self-calibrating triangulation (ringdown + echoes + direct-wave fringes), v4 (DOI 10.5281/zenodo.18103077) (2025-12-30) — The steps restated; “direct-wave fringes”; example prediction tables for GW250114; “not a detection claim.”
- Quantized Horizon Response (HRF) Rungs: τ-lattice + minimum-phase / cepstrum direct-wave fringe test + self-calibrating triangulation (ringdown + echoes + direct-wave fringes) — v5 (DOI 10.5281/zenodo.18166094) (2026-01-06) — The steps restated; GW250114 example tables and search windows; fringes from partial reflection near the horizon; “not a detection claim.”
- Quantized Horizon Response (HRF) Rungs: τ-lattice + minimum-phase / cepstrum direct-wave fringe test + self-calibrating triangulation (ringdown + echoes + direct-wave fringes) — v5.1 (DOI 10.5281/zenodo.18806067) (2026-02-26) — The search-grid effect that can create an apparent cluster near ln 4, the tests meant to break it, and a file name with stronger wording.
- Quantized Horizon Response (HRF) Rungs: τ-lattice falsification stack, real-data intake lock, paired detection, dual-manifold specificity, and τ-recovery bias-map controls — v5.2 (DOI 10.5281/zenodo.20192925) (2026-05-15) — “remains grid-favored”; an unstable recovery method; any physical reading kept “locked” until “preregistered” checks pass.
- Maldonado ε-Lattice Theory-of-Everything Program (NEXTLEVEL v70: reproducible lattice+bridges; prereg scoreboard; anomaly-free U(1)_ε closure) (DOI 10.5281/zenodo.18050020) (2025-12-24) — Only for the shared number: it defines the number as the square root of the muon-to-tau mass ratio, with the same value HRF v3 uses. Its title mentions an “anomaly-free” closure that its description calls a candidate.
- God Plays Dice, Volume One (Ricardo Maldonado), Chapters 5 and 6 and the Appendix (2026) — HRF lies outside the book’s hypothesis; the 0.244 idea is “a line of thought rather than a claim”; what a lasting ringdown difference would and would not mean for the book.
- LIGO, Virgo and KAGRA Collaborations, Black Hole Spectroscopy and Tests of General Relativity with GW250114 (2025-09-09) — Challenge: a fit to the whole GW250114 signal put the main tone’s pitch within a few percent of Einstein’s prediction.
- Neil Lu, Sizheng Ma, Ornella J. Piccinni, Yanbei Chen and Ling Sun, GW250114 reveals signatures of post-merger black-hole horizon, Nature 655, 71–75 (2026-06-24) — Challenge: a “direct wave” in GW250114, “in full agreement with theoretical predictions for a Kerr black hole” (peer reviewed).
- Anuj Kankani and Sean T. McWilliams, Direct waves in black hole binary mergers, Physical Review D (accepted paper) (2026-09-18) — Challenge: questions whether the direct wave tracks the horizon.
- Ling Sun, Sizheng Ma, Patrick P. Chen, Andrew Laeuger, Neil Lu and Yanbei Chen, Complex frequency evolution of direct waves from binary black hole mergers (preprint) (2026-08-24) — Challenge: four of the Nature study’s authors argue that the horizon link holds.
- Di Wu, Xi-Li Zhang, Qing-Guo Huang and Jing Ren, Model-agnostic search of gravitational wave echoes in LVK data, Physical Review D 113, 124023 (2026-06-10) — Challenge: no significant echoes in GW250114 and two other events; the search targeted strong reflection.
- LIGO, Virgo and KAGRA Collaborations, GWTC-5.0: Tests of General Relativity (2026-07-21) — Challenge: tests on 168 events; “no evidence for physics beyond GR”; one ringdown analysis in the tails, possibly from the limited catalog size; GW250114 improved the agreement.
- William G. Unruh and Robert M. Wald, Information loss (review) (2017-03-06) — Background: the long debate over whether information that falls into a black hole is lost.
- Matt Visser, The Kerr spacetime: A brief introduction (2007-06-05) — Background: a Kerr black hole is a rotating (spinning) black hole.
- CERN, The Standard Model (accessed 2026-09-30) — Background: the muon and the tau are charged particles in the same family (the leptons) as the electron.
- Center for Open Science, Preregistration (accessed 2026-09-30) — Background: what “preregistered” usually means (a plan specified in advance).
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