Please note: This simple mathematical framework suggests a fundamental scaling law connecting quantum gravity and cosmology. This is a working project. It’ll continue to be edited by all five AI platforms that we use — Some basic errors will be caught and fixed. See any? Please advise us. Thank you. –BEC
13 December 2025: Perplexity has been quite helpful right from the start: https://81018.com/perplexity/ Now, going forward we’ve got to reduce everything that we do to testable science. One pass at it is here: https://81018.com/testable-predictions/ Another here: https://81018.com/test-it-grok/. Might you have improvements on these presentations?
Perplexity Answers
The two “testable science” pages already do several things very well: they articulate falsifiable predictions, connect to mainstream scales (GUT, electroweak), and outline concrete experimental programs, which is exactly what QEM needs to be taken seriously as science. The main improvements are about sharpening structure, clarifying claims, and making it easier for a skeptical but curious physicist to see where to engage or to try to break the model.
1. Tighten the “ladder” from math to experiment
Right now, the “Testable Predictions” page interleaves motivation, numerology-like patterns, and real experimental ideas in the same flow. A physicist will trust it more if you enforce a strict progression:
- Section I (Motivation): One paragraph only, stating: “This base‑2 Planck-to-cosmos scaling is only interesting if it yields quantitative, disprovable claims about known scales and new effects.”
- Section II (Derived quantitative mappings): Put all clean length/energy mappings and ratios (Planck → GUT → electroweak, notation gaps, etc.) here, with explicit equations and uncertainties separated from interpretation.
- Section III (Phenomenology): Only then introduce SU(2)/SU(3)/SU(5)/E8, the 7.356° gap, and mass‑ratio patterns, clearly labeled as “hypotheses derived from the scaling framework,” not established facts.
- Section IV (Experiments): Pull all experimental proposals (LHC, CMB, lattice QCD, proton decay, data mining) into a single, highly structured section with bullets: “What to compute/measure; which dataset or facility; what QEM expects; what would count as falsification.”
This separation helps a reader distinguish “hard math consequences of the scaling” from “interpretative conjectures built on top of it,” which is essential for credibility.
2. Standardize each prediction with a fixed template
You have rich content under PREDICTIONS 1–6, but the format is slightly uneven. Adopting a rigid template per prediction makes it much easier for others to audit or extend:
For each PREDICTION, insist on:
- Statement (1–2 sentences, no hedging):
“If QEM is correct, then X must be observed as Y ± ΔY at scale Z.”- Derivation:
- Current status:
- Concrete test and data source:
- Falsification rule:
Your PREDICTION 1 and 2 are already close to this; mainly they need the explicit equations and numerical intervals rather than phrases like “within one order of magnitude.”
Helpful table structure
A compact table at the top of the page will orient people quickly:
Prediction Observable Scale / facility QEM expects Falsified if… GUT–EW ratio Coupling unification, energy ratio RG running analyses, next-gen colliders ~1013−14 length and energy ratio between GUT and EW scales Measured ratio is stably ≪1012 or ≫1016 7.356° gap Angular signatures in scattering and CMB ℓ≈25 LHC, Planck, future CMB small but statistically significant preference at 7.356° repeated null results with sensitivity well below predicted signal Populate this table directly from the more detailed sections below it.
3. Make the 7.356° gap look less like numerology
The 7.356° gap is both the most distinctive and the most vulnerable claim. To help a skeptical reader:
- Derive it once, cleanly, from a specific geometric configuration (e.g., five regular tetrahedra around an edge) and put that derivation in its own short subsection, with no side‑routes to CMB or crystals there.
- Then, explicitly quantify expected signal sizes:
- Add an explicit “null result is informative” paragraph: if multiple, independent high‑precision datasets (Planck, ACT, SPT, LHC) show no hint of such a feature down to some threshold, state that this would strongly disfavor treating the gap as physical.
That reframing moves the gap from “interesting number” to “very bold, very risky prediction” and physicists respect that.
4. Clarify the status of SU(5), E8, and mass ratios
In several places you rightly flag SU(5) and E8 as speculative, but they still read as if QEM is partly committed to them.
- For the “Lie group emergence” pattern, explicitly separate:
- Empirical inputs: “Standard Model uses SU(3)×SU(2)×U(1) at low energies; various GUTs (SU(5), SO(10), E6) have been proposed; E8 unification attempts exist but are not standard.”
- QEM’s proposal: “Notation–generator correspondences suggest that groups with 3, 8, 24, 248 generators are geometrically natural at notations 2, 8, 24, 32.”
- Then state: “QEM is compatible with several candidate GUT groups; SU(5) is used here as a working example because its proton‑decay signature is well‑defined and already being searched for.”
- For mass ratios, explicitly label the current status as “pattern‑seeking/hypothesis‑generating only,” and add at least one simple statistical test plan (e.g., chi‑square or Kolmogorov–Smirnov on log(mass ratios) vs nearest 2n).
That shows you understand the difference between suggestive numerics and solid prediction, which reviewers will appreciate.
5. Make “Test-it Grok” a gateway, not a parallel essay
The “test-it-grok” idea (tying QEM to first principles of science articulated by an external AI) is powerful rhetorically, but it should function as a brief framing/checklist, not a second narrative.
Concrete improvements:
- At the top of the “test-it-grok” page, add a 5–7 item checklist derived from the Grok summary: testability, tentativeness, coherence with existing data, clarity of assumptions, ethical conduct, etc., each 1 line long.
- Under each item, have at most one short paragraph stating how QEM does or does not (yet) satisfy that criterion and linking to the relevant section on the main “testable predictions” page.
- Avoid long quotes or paraphrases from Grok; instead, summarize in your own compact language and foreground QEM’s self‑critique: “Where QEM is currently weakest is X; here is how that could be improved or falsified.”
That page then becomes a “meta‑methods” appendix that signals scientific humility rather than a competing exposition.
6. Add a minimal “for collaborators” section
Because you are now clearly inviting experimentalists and theorists to engage, add a short, high‑signal section near the end of the “testable predictions” page:
- “What a collider phenomenologist could do in 6–12 months” (e.g., re‑analyze public LHC datasets for 7.356° signatures, with a pointer to the exact variables and cuts to start from).
- “What a cosmologist could do in 3–6 months” (re‑fit Planck spectra around ℓ≈25 with and without a simple bump/feature parameter inspired by QEM).
- “What a lattice QCD or numerical relativity group could explore” (run an FCC‑constrained lattice with and without the gap term and compare emergent symmetries).
Keep each bullet specific and realistic so that a grad student or postdoc could pick it up as a side project.
If you like, a next step could be to rewrite one of the prediction sections (for example, the 7.356° gap or the GUT–electroweak scaling) in this stricter template, so you have a concrete model to copy across the rest of the page.