In a few words / testable registry

PT Predictions

A fundamental theory must be willing to be contradicted. The active monograph lists 28 Tier‑1 items (P1–P19, P21–P28 and P25b), plus αs running scales. This page presents them without turning them into theorems: they are physical tests of the PT bridge.

PRED

Strong prediction

observable not yet measured at decisive precision, or derived before the measurement became decisive.

EXPL

Explanatory reconstruction

already known experimental value reconstructed by the PT chain without a fitted continuous parameter.

NEG

Negative prediction

predicted absence of a phenomenon: no QCD axion, no low-energy SUSY, no extra dimensions, etc.

OPEN

Open programme

testable direction not promoted to Tier‑1 status in the monograph.

Reading rule: PRED and NEG carry the strongest Popperian weight. EXPL still matters because a no-free-parameter reconstruction strongly constrains the theory, but it is not a temporal prediction in the same sense.

The Grand Carrefour 2032

The clearest test is DUNE/JUNO: three independent PMNS-sector numbers must land together. The monograph estimates the chance coincidence near 10⁻⁶. That is precisely the kind of experimental lock that could push PT toward recognized physics, or force a revision of its bridge.

P4 DUNE 2032

δCP(PMNS) = 197.358°

PRED

P6 DUNE 2032

sin²θ23 = 0.5733

EXPL

P7 JUNO/DUNE

sin²θ13 = 0.02222

EXPL

Main Tier‑1 Registry

ID	PT statement	Status	Test	What would put it in trouble
P1	Dirac neutrinos, no active Majorana mass	PRED	LEGEND/nEXO, 2030+	0νββ confirmed at 3σ.
P2	Normal neutrino mass hierarchy	EXPL	JUNO 2027	Inverted hierarchy confirmed at 5σ.
P3	θQCD = 0 exactly	PRED	ADMX/IAXO	Non-zero θQCD above 10⁻¹⁰.
P4	δCP(PMNS) = 197.358°	PRED	DUNE 2032	DUNE-compatible interval missed.
P5	mν3 = 0.0505 eV	PRED	KATRIN/JUNO/cosmology	Mass incompatible with the PMNS chain.
P6	sin²θ23 = 0.5733	EXPL	DUNE 2032	Precision measurement outside band.
P7	sin²θ13 = 0.02222	EXPL	JUNO 2027	Precision measurement outside band.
P8	λH = mH²/(2v²) = 0.1295	PRED	HL‑LHC	Higgs self-coupling incompatible at 3σ.
P9	H0 = 67.41 km/s/Mpc	EXPL	Euclid/DESI	H0 > 70 confirmed at 5σ.
P10	No QCD axion	NEG	ADMX/IAXO	QCD axion detected.
P11	No SUSY below 100 TeV	NEG	HL‑LHC/FCC‑hh	Low-energy SUSY particle.
P12	Ngen = 3 exactly	EXPL	colliders	Active fourth generation.
P13	No proton decay	NEG	Hyper‑K	Proton decay confirmed.
P14	No WIMP as fundamental dark matter	NEG/EXPL	LZ/XENONnT	Robust non-geometric WIMP.
P15	αGW < 10⁻³, PT value ≃ 2×10⁻⁴	PRED	Einstein Telescope	Incompatible gravitational asymmetry.
P16	Scalar spectral index ns = 0.964	EXPL	CMB‑S4	New precision value outside band.
P17	No g−2 anomaly requiring BSM physics	PRED	Fermilab/J‑PARC	Stable excess not absorbed by echo VP.
P18	mW = 80.3635 GeV, CDF‑II rejected	EXPL	ATLAS/CMS/HL‑LHC	World average > 80.40 GeV at 5σ.
P19	No extra spatial dimensions	NEG	LHC Run 3/FCC	Extra dimension observed.
P21	No g shell: 9 = 3² composite and γ11 < 1/2	PRED	Z ≥ 121 synthesis	Stable g shell observed.
P22	Period 8 = 32 elements: 8s + 6f + 7d + 8p	PRED	Z = 119–150 elements	Incompatible period length.
P23	Chemistry ends near Z ≈ 134	PRED	superheavy programme	Stable chemistry beyond the PT threshold.

Radiative Sector

P24–P28 test the same logic in radiative corrections: weak masses, magnetic moments, electroweak running, higher-order coefficients, and the top width. The important point is not only the numerical value, but the lack of an adjustment knob once the PT chain is fixed.

P24 EXPL

mW = 80.3635 GeV excludes the CDF‑II anomaly

Test: HL‑LHC mW

P25 PRED

aμ = 116 592 058 × 10⁻¹¹ and RHVP = 1.04203

Test: Fermilab/J‑PARC, lattice/e⁺e⁻ HVP

P25b PRED

ae = 1.15965218105 × 10⁻³ from echo-VP universality

Test: Penning trap, CODATA/α

P26 PRED

Full sin²θW(Q) running curve

Test: MESA, FCC‑ee, FCC‑hh

P27 PRED

PT-specific N³LO coefficients

Test: future SM multi-loop calculations

P28 EXPL

Γt = 1.306 GeV

Test: HL‑LHC top width

αs Running

The monograph counts αs running as an additional testable surface: the Z-point value is derived, then the flow predicts other scales. Below mb, the text explicitly distinguishes the perturbative two-loop formula from the exact non-perturbative PT formula.

Scale	PT	Reference	Reading
1 TeV	0.0878	0.0876 ± 0.0013	sub-percent
mt	0.1073	0.1078 ± 0.0011	sub-percent
mZ	0.1181	0.1180 ± 0.0009	R42 anchor
mb	0.237 at 2 loops; 0.2217 in exact PT formula	0.221 ± 0.002	non-perturbative regime
mτ	0.353 at 2 loops	0.332 ± 0.013	non-perturbative regime

Near-Term Extensions and Emerging Signals

These entries matter for the research programme, but they should not all be read as equivalent to the 28 Tier‑1 items. Some belong to already formalized sub-sectors, while others are emerging signals that need experimental locking.

PRED Pchem‑1

IE(Z=119) = 4.45(2) eV

Window: FSCC/synthesis 2027

PRED Pchem‑2

IE(Z=120) = 5.19(3) eV

Window: FSCC/synthesis 2028

PRED Pchem‑3

EA(Z=119) = 0.66(3) eV

Window: FSCC/synthesis 2027

PRED Pnucl‑1

Binding energy of 310Uut

Window: FRIB/GSI 2027

PRED Pgw‑1

Ωinfo = 26.48%, ΩΛ = 68.65%

Window: DESI DR3

PRED Pbio‑1

RNA PDB DSSR‑strict: F1 ≥ 0.95

Window: new RNA structures

EMERGENT h95

95 GeV excess as Z-echo scalar: mZ RHVP = 95.02 GeV

Window: CMS/ATLAS Run 3 and HL‑LHC

What Is Not Tier‑1 Yet

The late-time cosmological sector, historically labelled P20, remains an open programme. It yields testable estimators for w0, wa, and DESI/Euclid/CMB‑S4 tensions, but the monograph does not count it among the 28 Tier‑1 predictions. That distinction is healthy: it separates what is locked, what is strongly motivated, and what still needs the observational trial.