EEMLEffortless Effect Meta-Law
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New research lines, not yet consolidated

What we researched, tested or keep open since 28 September. The eight parts are the consolidated text; what is here appears there only where stated. Every item carries labels, so you can see what is known physics, what is a new EEML reading and what has not been rechecked yet.

Labels
  • Openno outcome yet
  • Known external physicsexisting work by others; EEML adds at most a reading
  • New EEML interpretationa reading or hypothesis from EEML
  • Not yet independently recheckednot yet checked by us or others

Tested with rules fixed in advance

Retinal vessels: Murray's law and the EEML weighting (V1 and V2, 28 September)

Known external physicsNew EEML interpretation

Two tests on public, hand-drawn vessel masks: HRF (45 images) and FIVES (800 images), with rules fixed before the data were viewed. Murray's law (Murray 1926) for the diameters at branchings held in both sets. The EEML prediction that longer vessel segments deviate less, through the weighting e^(−S/ε), was undecided in HRF. In FIVES, with 1930 clean branchings, the effect turned out smaller than a fifth of the remaining spread.

OutcomeMurray supported; the EEML weighting refuted in this application (V2b).

TM-1: the carrier law for loops in transport networks (30 September)

New EEML interpretation

Hypothesis: a seed or exploration K decides when a new loop appears, but not when it disappears again. Fixed in advance and tested in simulation on a 4×4 grid (48 seeds, three values of the cost exponent). It was established beforehand that the existing dynamical model already predicts this asymmetry, so the test could not distinguish EEML. A ten times larger seed shifted the appearance by at most 0.024, against a threshold of 0.10. In a triangle and a ladder the asymmetry was there: it depends on the shape of the network.

OutcomeRefuted as a general rule; not distinctive for EEML.

Rechecked: existing physics, read with EEML

A sign rule from topology (Part VI.E10, 1 October)

Known external physics

In the large volume scenario of string theory, a resting point for the volume of the extra dimensions exists only if the Euler number χ is negative. Rechecked with the full potential and over 216 parameter combinations.

OutcomeRechecked; an example of ‘is it possible?’ before ‘what does it cost?’.

More →

The old α derivation was circular (Part VI.E11, 5 October)

Known external physics

Every ‘derived’ number in the old derivation of 137.036 turned out to be a measured value, or the gap to a measured value. The number 24 does appear in the unification of the couplings with supersymmetry (about 24.3), but that depends on an unknown scale.

OutcomeCorrected; the old claim remains historical.

More →

Explored, not yet tested

Loops and hysteresis in transport networks (EEML-TOP 0.1, 29 September)

Known external physicsNew EEML interpretationOpen

In models where use strengthens the connections (Katifori et al. 2010; Kaiser et al. 2020), loops appear only under strong fluctuations and disappear only under weak ones. Rechecked in a triangle and a ladder: the width of that window depends on the cost exponent, the seed and the rate. We found no experiment that drives the fluctuation up and down and counts loops.

OutcomeOpen; the first test (TM-1) is listed above.

One cost, two shapes in vessel trees (V3, 29 September)

Known external physics

If one cost sets both the diameter and the angle of branchings, two exponents are linked: m = 2x − 4. That relation is already known (Murray 1926; Zamir 1976), and earlier studies suggest that diameter and angle respond separately in the retina. A test would test the one-cost model, not EEML.

OutcomeParked as a secondary benchmark.

From the synthesis of 29 September, not yet independently rechecked

Causal order plus volume as minimal geometry

Known external physicsNew EEML interpretationOpen

Under suitable conditions, the causal structure fixes the geometry of spacetime up to a position-dependent scale factor (Hawking, King and McCarthy 1976; Malament 1977); the volume supplies that factor. A discrete causal order, a ‘causal set’ (Bombelli et al. 1987), could carry dimension, volume and curvature.

OutcomeOpen: how a four-dimensional spacetime arises from such an order is unsolved.

Spin(10), pure spinors and the gauge group of the Standard Model

Known external physicsNew EEML interpretationNot yet independently rechecked

The fifteen known particle states of one family fit, with a right-handed neutrino added, exactly into the 16 of Spin(10) (Georgi 1975; Fritzsch and Minkowski 1975). The synthesis proposed that pure-spinor geometry leads from there to S(U(3)×U(2)), the gauge group of the Standard Model.

OutcomeThe first step is known; the second has not yet been rechecked by us.

The Higgs doublet as a minimal bridge

Known external physicsNew EEML interpretation

The Higgs doublet is the smallest structure that can couple left-handed and right-handed fermions, through the Yukawa couplings. The synthesis reads it as a minimally necessary carrier.

OutcomeKnown physics; the EEML reading adds no new prediction.

Flavor: a rank-one core

Known external physicsNew EEML interpretationNot yet independently rechecked

The masses of the three families differ strongly. They can be approximated by a core diag(0, 0, 1) plus small deviations. Static closure does not explain why those deviations are small but not zero; that needs a process.

OutcomeNot yet rechecked; no prediction of its own.

The carrier law as a candidate process law

New EEML interpretation

From the synthesis: a new effect arises only when there is a carrier for it, and when the existing dynamics also makes that carrier reachable. Tested in one model class in TM-1 (see above): there, the asymmetry does not hold in general.

OutcomePartly tested: refuted as a general rule in TM-1.

Code and data are available on request via the contact address.