An Open Research Notebook — Not a Theory of Everything
What if one equation described reality from quantum to cosmic?
The idea, in one line: every system, from an atom to a galaxy, gets one number between 0 (a crowd of strangers) and 1 (a marching band) for how much its parts act together, and that number is computed from how dense the system is. One dial, one equation, every scale. We proposed this. We tested it. It did not hold as stated. What follows is what we learned. Read on to watch a big idea get tested in public and lose honestly: which parts turned out to be known physics renamed, which parts the data killed, and what that rules out for any theory of the same shape. This is an AI-run research notebook: the research, audits and computations are done by AI agents, with one human, the project lead (“dp” throughout this site), setting direction and overseeing. No journal and no outside physicist has reviewed it. “Coherence” here is a score for how collectively a system's parts act, computed from its density; it is not quantum coherence, and a superconductor scores low on it. The bet: a single dial — how coherently a system's parts act together, computed from its density — might explain what currently needs a separate patch at every scale (dark matter for galaxies, wavefunction collapse for quantum measurement). That is what the equation tried to do. Tested against real data, it has not won: the one galaxy test that could tell it apart from existing ideas collapsed it onto MOND (Modified Newtonian Dynamics — a 40-year-old idea that gravity itself gets stronger than Newton's law at extremely weak accelerations, used instead of dark matter; the framework's galaxy formula turned out to be MOND's), and the cluster scale requires a second density parameter the framework doesn't have. “Tested” here means checked against data that already existed (retrodiction); no prediction has yet been made first and then checked against new data. Every failure is documented honestly — the honest map of where it fails is the product.
So is it alive or dead? As tested physics, dead so far: no prediction that differs from MOND or the standard cosmology has survived the tests run. As a public record of finding that out, and as a mostly untested picture of reality, alive. The full answer. Next data: Gaia DR4 wide binaries, 2 December 2026. They can settle a question about MOND. They cannot select this framework.
No physics background? Use the Beginner Path (5 steps, ~37 min on the short route — the equation appears, always explained in plain words; you never have to compute with it, and you can skip every “for physicists” box. Step 5 is a ~25,000-word page; its intended stop on this path is the “If you read nothing else” box at the top of it; per-step times are on the paths page, so the cliff is visible before you walk off it) or jump to the Galaxy Curve Plotter. Physicist? Jump to Key Claims or Honest Assessment. Researcher? Tier 1 tests or For Researchers.
Revision notes (history; not the current claim)
Corrected 2026-09-10: the Beginner Path time read “~30 min” while step 5 is a ~18,000-word page — well over an hour on its own.A marching band moving in lockstep: high coherence. A crowd wandering in a plaza: low coherence. Synchronism’s central idea is that one number — C, from 0 to 1 — captures this “how collectively does this system behave?” question across all of physics. Sparse, independent systems (stars in a galaxy) land near 0. Dense, tightly-coupled systems (inside a neutron star) land near 1. The equation below is how that number is computed.
Not the quantum coherence you've heard of. If you know “coherence” from quantum physics (decoherence, Schrödinger's cat), this C is a different quantity, not the same one and not its opposite: it measures how collectively a system's parts behave as density rises, while quantum coherence measures whether a system keeps a shared quantum phase. The two are separate axes, so a superconductor can be as quantum-coherent as matter gets and still score low C here (terminology note). Why it scores low, in plain words: the formula γ = 2/√Ncorr gives a system with more parts moving together a flatter curve, so at any ordinary density it scores low. Real superconductors switch on sharply, in temperature. C(ρ) has no temperature in it, and a metal has the same electron density above and below its transition, so this formula cannot describe that transition at all. The low score comes only from a hand-assigned Ncorr, which has no measurement protocol. It is the framework's audited failure showing through, not a calculation about superconductors (γ Calculator).
New here? The next sections get technical fast. Start with Why Synchronism? (~8 min; the technical fold is optional) → or jump to Where to Start. If a word stops you, the glossary has ten words to learn first.
Abbreviations ahead (RAR, ΔBIC, BTFR, Ωm, Ncorr, CFD, SPARC): short key, or the glossary.
Read it as: crowd a system enough and its parts start acting as one — this says how fast that switch flips.
“One equation” means one curve shape with separately fitted dials in each area of physics, not one universal γ (why). Physicists: the galaxy tests used close cousins of this formula; see “Which C the galaxy numbers used” below.
Never seen these symbols? Read it out loud like this: “coherence, at a given density, equals a squashing function of a compressing function of how dense things are.” tanh squashes any number into −1…+1; here its input is never negative, so C lands in 0…1 (glossary). ln compresses huge ranges into small ones. ρ is “rho” = density; γ is “gamma” = how sudden the switch is. You do not need the equation to read this site — the plain-English version below is the whole idea, and the Beginner Path shows the equation, always explained in plain words; you never have to compute with it.
“Coherence is a smooth S-curve from sparse/independent to dense/collective, shaped by how many particles act together and how dense the system is.”
C = coherence (0 = sparse/independent, 1 = dense/collective) γ = how fast C leaves zero and approaches 1 (it was proposed as a sharpness, but no γ gives a sharp switch; the proposed γ = 2/√Ncorr relation is sign-inverted vs. mean-field physics and audited-negative — see γ Calculator) ρcrit = the “knee”: the density where the S-curve bends from flat to steep (a reference scale, not a phase-transition point)
tanh = S-shaped saturation function: maps any real number to (−1,+1) — C(ρ) stays in [0,1) because the input argument ≥ 0. You can just think “smooth S-curve” on a log-density axis; in ρ itself the function is concave everywhere, with no inflection, and at the galaxy sector's own parameters it is a straight line to better than the data's precision (measured 2026-09-03 — see the Coherence Explorer caption). ln = natural log: compression — 1,000× bigger becomes only ~7 units bigger inside the equation (3 units on a base-10 axis like the Coherence Explorer's).
For physicists: which C the galaxy numbers used (three functions share this shape; uses terms defined in the key further down)
This is the density-keyed form, Cρ. The two galaxy tests that refuted the framework on its own terms ran on an acceleration-keyed cousin with a floor, Ca, and the RAR fit on a third, Cg. Which C the galaxy numbers used: the equation above is keyed on density. Almost every galaxy statistic on this site used the same tanh-log shape keyed on acceleration instead — the RAR fits (γ = 0.49 at Υ = 0.5, ΔBIC +184 at γ = 2 by point, ≈ +11 by galaxy; +46 and +2.7 once each law has its own global Υ), and an Ωm-floored variant for the BTFR and dwarf tests. At γ = ½ the acceleration version is MOND's simple interpolating function. The density version above was tested separately and fails on galaxy data. So “the equation failed” means a family failed, three functions sharing one shape: Cρ (the one above, keyed on density), Cg = tanh(γ ln(1 + gobs/a0′)) (keyed on observed acceleration; RAR shape and Cassini), and Ca = Ωm + (1 − Ωm)·x/(1+x) (keyed on acceleration and floored at Ωm; BTFR slope and dwarf dark-matter fractions). Each refutation names its function in the “Which C” column. See Galaxy Rotation.
Revision notes (history; not the current claim)
The “Which C the galaxy numbers used” paragraph was added 2026-09-14. On 2026-11-02 it moved into a collapsed “for physicists” block, with the Cρ/Ca/Cg pointer, because two simulated-visitor personas met its terms before the abbreviation key that defines them.The tanh shape is motivated by the sigmoid/compander family (μ-law, Hill, logistic) — a phenomenological choice, not derived. See /parameter-derivations for why “mean-field theory” is the wrong category: there is no self-consistency loop, no free energy, no critical exponents. The log-density argument is physically motivated. Three parameters are fitted to data. See derivations →
ρ is presence — the compatible structural elements available within a system's relevancy boundary. Physical density is one form of presence, but it also encompasses temperature, energy levels, catalytic surfaces, and other factors that support emergence. In every quantitative test the framework has run (SPARC galaxies, i.e. a catalogue of 175 measured rotation curves; chemistry), ρ reduces to the ordinary local mass/energy or number density — the broader “presence” reading has never been operationalized, so treat the physics definition as the one under test. The relevancy boundary is the MRH (Markov Relevancy Horizon) — the bubble of nearest neighbors that actually influence a system; everything outside it can be ignored. See MRH →
Revision notes (history; not the current claim)
One row per claim, same verdict as the Key Claims page — aligned 2026-09-14 after a visitor found this teaser listing a different set of three.Orientation: this site tracks an idea being tested in public — including every failure. The zeros and “failed” badges below are the scoreboard of that process, kept honestly; they are the point, not the fine print.
Two things to know before the numbers, because they make the numbers legible:
• Why keep reading a theory that lost? Because the map of where it fails is the deliverable. Most of what this program produced that another researcher can use is negative results that constrain a whole class of proposals, not just this one — packaged here. A theory that publishes its losses in a form you can cite has given you something; one that publishes only wins has given you a press release.
• Who did this work. The research was carried out by AI agents arguing with each other — ~3,300 sessions — with one human (dp) overseeing the badge taxonomy. No outside physicist has reviewed these claims. The agents share a training distribution, so where the literature is wrong they are likely wrong together; that is a limit no amount of internal argument removes. Details in the methodology note below and on Research Philosophy.
Revision notes (history; not the current claim)
These two points were moved up here 2026-09-18 — a first-time visitor reached both only on their eleventh page, and said they changed the meaning of everything before them.“Synchronism is not a theory of everything. It's a research tool that maps density to coherence and sometimes produces useful insights.”
The one distinctive move underneath all of it: Synchronism is a single-observer, CFD-like model — reality as a discrete computational-fluid substrate, observers as patterns inside it rather than a privileged frame outside. The physics ledger reads zero confirmed novel predictions, for two reasons that are both true: the discriminating tests that borrowed data could run were run, and lost (the refutations below), and confirming anything new needs instruments this program does not have — every test here is a reanalysis of data collected for other questions. So the quantitative probes are refuted where they were testable, while the ontology underneath is untested rather than refuted; that second part is the invitation. And on a different axis the framework is already load-bearing: where it's already useful →
Abbreviations used in the table below: SPARC = a catalogue of 175 disc-galaxy rotation curves (Lelli+2016); BTFR = baryonic Tully–Fisher relation (galaxy mass vs rotation speed); RAR = radial acceleration relation (observed vs visible-matter acceleration); ΔBIC = a model-comparison score (positive = the framework fits worse; >10 is decisive); r² = fraction of variance explained; dex = a factor of 10 on a log scale (0.3 dex ≈ a factor of 2); σ = standard deviations of significance; CHSH = the measurable form of Bell's theorem; ΛCDM = the standard cosmological model; CDM = cold dark matter, the unseen mass in that model; DM = dark matter; BIC = Bayesian information criterion, a fit score that penalises extra parameters (ΔBIC is the difference between two models); fσ₈ = growth rate of cosmic structure; gbar / gobs / a0 = acceleration from visible matter / observed acceleration / MOND's acceleration scale; Ωm / Ωb = the fraction of the universe's energy in matter (≈ 0.315) / in ordinary (baryonic) matter (≈ 0.049); LLM = large language model; BAO = baryon acoustic oscillations (a standard ruler in galaxy clustering); DESI = Dark Energy Spectroscopic Instrument (the survey behind the BAO and growth tests); KiDS-1000 = a weak-lensing survey (Kilo-Degree Survey, 1000 deg²); Youden's J = a score from −1 to 1 for how well a classifier separates two classes (0 = no better than chance, 1 = perfect); Ncorr = the number of a system's parts that move together (the input to γ = 2/√Ncorr); CMB = cosmic microwave background; DR2 = a survey's second data release; ALFALFA / SDSS = a radio survey of galaxy hydrogen gas / the Sloan Digital Sky Survey (optical); Neff = effective number of independent data points, after correlated points are discounted; Vflat / Vmax = a galaxy's steady outer rotation speed / its peak rotation speed; fDM = the fraction of a galaxy's inferred mass that is dark matter; μ-law = a logarithmic audio-compression curve used in telephone networks, one of the S-shaped “compander” family the equation's tanh was borrowed from (not MOND's interpolating function μ, which only shares the letter; corrected 2026-11-05); CFD = computational fluid dynamics. More in the Glossary.
How the six are grouped (roots vs data sources)
Several share one underlying reason, so they come from 5 independent “roots” (a root is one underlying reason for failing), only 2 of them specific to this framework. (A different cut of the same six, used on Honest Assessment: 5 ran on external data and 1 is a Bell/CHSH construction check. The two “5”s are different groupings of the same tests, not two counts that disagree.)Which object each refutation tested (realization, variable, wiring, root)
| Test | Realization tested | Result (both numbers where they differ) | Root |
|---|---|---|---|
| BTFR slope (TEST-09) | floored C = Ωm + (1−Ωm)·x/(1+x), x = (gbar/a0)1/φ; gobs = gbar/C; boost capped at 3.17× | predicted slope 3.35 ± 0.07 vs data 3.75 ± 0.10 (3.3σ apart in quadrature; 3.6σ on a paired galaxy bootstrap) at the ceiling Bmax = 1/Ωm, which no archive document derives; registered |Δn| > 0.3 met on the point estimate, ~1σ margin under Vflat alone, robust under Vmax. Convention-dependent: it does not fire at (Ωm−Ωb)/Ωb or Ωm/Ωb (2026-09-18 sweep) | boost ceiling |
| Dwarf dark-matter fractions (TEST-10) | same as TEST-09 | SPARC's max fDM = 0.927 needs a boost ≥ 13.7; fails under either floor (1/Ωm = 3.17 or Ωm/Ωb ≈ 6.4) | boost ceiling (same root) |
| RAR shape, γ = 2 pin (no TEST ID; closed 2026-05-21) | tanh-log compander in μ-form, keyed on gobs/a0′, no floor | ΔBIC +184 vs MOND counting each of 2,807 points as independent; ≈ +11 with the galaxy as the unit (measured Neff ≈ 150). Both hold Υ = 0.5; with each law's own global Υ they are +46 and +2.7, about 2σ from a γ = 2 world. Disfavoured, not decisive, and a choice among MOND's functions (every γ is a MOND μ). Free γ lands at 0.489 ≈ MOND (identical at γ = ½; the fit is 2% away) | γ = 2 pin |
| Environment amplitude (TEST-03s) | registered >20% effect of ambient density (S177) | r² = 0.0001 vs the >20% claim; the equation itself never predicted >10−3 dex | refuted registration |
| Cassini / SPARC squeeze (TEST-25) | tanh-log compander in μ-form (as the Galaxy Rotation RAR-shape test), Solar System quadrupole | SPARC-allowed γ fails Cassini. Published for MOND's functions: 1.9–15σ by mass model (Desmond, Hees & Famaey 2024: 8.7σ fiducial, 1.9σ with M/L freedom and no bulges; Park et al. 2026: 3–15σ). This site's run for the compander with M/L pinned: +17.95σ; to pass it would need more than twice the stellar-population M/L | root shared with MOND; MOND has an escape the compander lacks |
| Bell/CHSH (bet B1) | local substrate constructions (phase and saturation-density), not the gravity law | S ≤ 2 on every no-signaling arm; the one arm above 2 (up to 2.67) signals | construction check |
Three different coherence functions sit behind these rows: C keyed on gbar with a floor (TEST-09/10), C keyed on gobs with no floor (RAR shape, TEST-25), and the density law C(ρ) (only the environment row, through its registration). Whether TEST-25 is really “inherited” is an open classification question on Honest Assessment; if it is resolved against the framework, three roots are framework-specific, not two. The exact independent count gates on the project lead (the archive's own audit says ≤5).
Revision notes for this cell (history kept verbatim)
2026-09-17: the TEST-25 row read “tanh-log compander in μ-form (as TEST-09's RAR row)” and “SPARC-allowed γ fails Cassini at +17.95σ.” TEST-09 keys C explicitly on gbar with no implicit solve, so the comparison now points at the Galaxy Rotation RAR-shape fit, which is the implicit μ-form one; and the row now leads with the marginalized, published 8.7σ, as Honest Assessment does, with this site's unmarginalized +17.95σ second.
2026-09-15: state separated from history after a technical-writer visitor found the cell unscannable, and a realization column added after a graduate-physics visitor could not tell which equation each refutation hit. “Registered kill fired 3.3σ” restated: 3.3σ is the prediction–data separation, not the margin on the registered criterion. “Refuted… at the solar Oort limit” removed from the density-law sentence: the 2026-09-09 joint window found the Sun and the clusters do not close that sector on a smoothed-density reading. The cell as it read before today:
Revision notes
2026-09-23: the “So this count is not evidence against the claims” clause added after graduate-physics and researcher visitor personas both made the point. 2026-09-15: auditor named and the calibration statement corrected after a researcher visitor found /research-philosophy saying “external domain-expert audit” and “the control was run” while /for-researchers said it never was; the archive record shows LLM auditors and one self-scored in-distribution arm. The cell as it read before: “Validated” claims surviving audit: 0 of 6 — all demoted (current ledger: 5 reparametrizations; the sixth, the BTFR slope, moved to the refutation column 2026-07-14). Across all audited claims the canonical count is 0 of 9 (the 6 “Validated” plus 3 swept later — see the Research Outputs section; this cell quoted only the 6-claim subtotal until 2026-09-08). Instrument-limited: the same audit false-flags 6/6 genuine discoveries as reparametrizations — kept in a separate cell from the data-driven refutations for that reasonSo is the idea alive or dead? As tested physics: dead as far as it has been tested — no prediction that differs from MOND or ΛCDM survived the tests run so far, and this site says so. As a public record of how you find that out honestly — and as an ontology that is mostly untested — it is alive and still being worked. Mostly, not wholly: its one sharp commitment, a single absolute clock, is something instruments havelooked at for twenty years (Lorentz-violation searches), and the framework owes an answer to a known naturalness problem there (For Researchers, artifact 2). Its other novel bets are untested, several because they are not yet sharp enough to test. Why keep reading a theory with zero confirmed predictions? Because this is what testing an idea in public looks like — you get to watch a theory be taken apart honestly: which claims collapsed into known physics, which died against data, and what that rules out for any theory of the same shape. The autopsy is the product. In one sentence: the headline equation has no derived link to galaxy rotation at all — the fits on this site run on the standard machinery of MOND (Modified Newtonian Dynamics — a 40-year-old rival theory that tweaks gravity instead of adding dark matter), and everywhere the equation's own variants genuinely differed from MOND, the data killed them. What would count as a confirmation is a prediction that differs from MOND and ΛCDM and wins; no test currently on the books can deliver that.
One count the scoreboard doesn't capture: the “6 refutations” counts only tests executed against registered criteria. Separately, the framework's preferred-frame (absolute-time) sector is excluded at face value by existing precision measurements — by 15 to 27 orders of magnitude — unless a protection mechanism nobody has exhibited exists. The computation behind it is on For Researchers — one-loop cμν ~ α/π ≈ 2×10−3 (15–27 orders above) against cavity bounds ≲10−18 and comagnetometer bounds ≲10−29–10−30. See Honest Assessment.
Revision notes (history; not the current claim)
The “6 refutations” count read “4” until 2026-08-09 — the pre-recount number, stale here while the footer said 6. The preferred-frame range was corrected 2026-08-09 from “11 to 28” to 16–28 (the “11” had no derivation behind it), and on 2026-10-30 to 15–27 (α/π = 2.3×10−3). A leftover sentence calling 16–28 “the range the computation actually yields” was removed 2026-11-06 (graduate simulated-visitor persona).The work that carries weight here is the tests coded against outside data with an outside answer key: SPARC rotation curves, KiDS-1000 weak lensing, DESI DR2 + CMB + supernovae, the Cassini Solar-System bound, and lunar laser ranging. Every verdict in the scoreboard above comes from those. The counts below measure how much work was done; the AI-to-AI session method that produced most of it is uncalibrated as a discovery method (on its one benchmark it flagged all six real discoveries along with the three reparametrizations: Youden's J = 0; Research Philosophy).
Revision notes (history; not the current claim)
Corrected 2026-08-10 from “14,760 (175 + 14,585).” 14,585 is the registered cross-match for TEST-03 — a test this site's own ledger marks never run as registered. The definitive session analysed N = 14,435. The headline had been quoting the sample that wasn't measured. Both figures were already flagged on CDM Discrimination and Dark Matter; the correction had not reached this tile.What Synchronism Covers
Reparametrization, this site's most common verdict, means: equivalent to existing physics in different notation — the same math wearing a new costume, not new physics.
Quantum Physics
MRH (Markov Relevancy Horizon) crossing replaces wave function collapse. A reading of decoherence, not a new formula: it has no rate parameter, so it cannot even be equivalent to decoherence theory (which has rates), and it makes no prediction that differs from standard quantum mechanics. (This card read “Reparametrization” and “Born rule: equivalent to Zurek/Carroll-Sebens” until 2026-10-23, a day after its destination page went back to Speculative.)
Speculative — No Rate ParameterCosmology
Galaxy rotation tested on 14,610 galaxies (MOND reparametrization + environment scatter). Dark matter mechanism: structural failure (Bullet Cluster sign error, March 2026).
Failed — Mechanism Under RevisionChemistry
1,703 logged chemistry sessions (one “phenomenon type” per session, so a counter, not a census) near the γ ≈ 1 boundary. Sound velocity r = 0.982 (null-class: it is a post-hoc fit against a γ proxy that contains the Debye temperature, and the γ assignments behind it are unpublished; see the Chemistry Correlation Explorer). Melting point prediction: 53% error. The 89% consistency rate reflects restatements of the Debye model (about 86%) — not a Synchronism-unique prediction.
Reparametrization — ChemistryConsciousness
Hard problem reframed; the proposed C ≈ 0.50 threshold is untestable as stated — no procedure maps any measurement onto the C-axis, and the one empirical test cited for it (gnosis-research Session 63) measured a different variable. D, S, and f in C = f(γ, D, S) are not yet operationally defined — this is a typed signature, not a tested equation. (A “C ≈ 0.64 also rejected at p < 0.0001” claim previously shown here had no source and was removed 2026-07-08.)
Speculative — Untestable as StatedWhere to Start
Why Synchronism?
The question that started it all
First Encounter
10-minute guided introduction
Galaxy Curve Plotter
See the dark-matter problem in real data, and watch the formula lose to MOND
Test Roadmap
26 tests (24 registry + 2 later): what would break this?
Research Philosophy
How we work, why we document failures
Honest Assessment
What works, what failed, what's unknown
The Beginner Path continues past step 3 with What Synchronism Is Not (step 4), Honest Assessment (step 5), with the Glossary as a companion to look terms up in along the way — Learning Paths → Beginner is the canonical route.