SMM / DTT/Constants explorer
Research snapshot · Oct 2026
FROM PREMISE TO PHYSICAL QUANTITY

Compare the derivations.

Understand the ideas, follow the mathematics, and inspect the open steps.

Compare the dependency burden.

Live values share your current inputs. Open a row to inspect its complete route.

6 targets · 0 independent selections
ConstantCurrent outputReference / benchmarkImported quantitiesCurrent claimUnits
αFine-structure constant0.01130379683Δ/reference: 54.9027%0.007297352564CODATA 2022 central valuet, architecture, charge conventionConditional / openConditional bare response; t supplied1✓ Dimensions
ℏReduced Planck constant1.054571818 × 10⁻³⁴Δ/reference: 0%1.054571818 × 10⁻³⁴SI h/(2π); exact definitionSI h → a; physical action matchingConditional / openSI action scale supplied; no numerical selectionJ s✓ Dimensions
GNewtonian constant5.082952981 × 10²⁷Δ/reference: 7.61571 × 10³⁹%6.6743 × 10⁻¹¹CODATA 2022 central valuea, ℓ*, τ*, υ, κConditional / openκ supplied; microscopic response openm³ kg⁻¹ s⁻²✓ Dimensions
mₑElectron mass7.035345883 × 10⁻³⁰Δ/reference: 672.319%9.109383714 × 10⁻³¹CODATA 2022 central valuea, c, τ*, εₑ; sector assignmentConditional / openGap supplied; electron assignment openkg✓ Dimensions
μProton–electron ratio1836Δ/reference: -0.00831485%1836.152673CODATA 2022 central valueb and signed inertia ruleConditional / open1836 ansatz; correction uncomputed1✓ Dimensions
ΛCosmological constant5 × 10²⁹Δ/reference: 4.21298 × 10⁸³%1.186808516 × 10⁻⁵²Illustrative H, ΩΛ; not an observation fitr, κ, ℓ*; absolute normalizationConditional / openAbsolute vacuum coefficient suppliedm⁻²✓ Dimensions
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A specific shared correction fails its cross-check.

The source ansatz X(b)=b²+3b+7 and M(b)=(b+3)X(b)+b(b+1)/2 gives 137 and 1836 at b=10. Fitting X to measured α⁻¹ gives μ=1836.698895446, a residual of +0.54622202. This tests one simultaneous matching law; it does not reject every SMM/DTT construction.

SHARED INPUTS

One premise, several consequences

COMMON DICTIONARY

Conditional gravity–vacuum cancellation

gₑλₑ = GΛa/c³

With the common geometric dictionary, this is r/(32πκ²). The identity is algebraic; predicting its value requires r and κ from the same dynamics.

Comparisons use central values, with no independent-error or covariance claim. Numerical closeness is not agreement within measurement uncertainty. α outputs here are values of α; the α workbench also shows inverse coupling.

DEPENDENCY DETAIL