Incoprea Theory
Volume XII · 30 October 2026

Twenty-nine subfields · one claim each · not peer reviewed

Twenty-nine theories from the physical sciences

The earlier volumes leaned biological, earthly and social. This one goes to the physical sciences: from magnetic reconnection to metrology, one claim per subfield, each with a mechanism and a stated refutation.

29theories
29subfields
58predictions
29refutations
01
Plasma Physics

Reconnection Runs on an Aspect Ratio

The rate of magnetic reconnection is set by the aspect ratio of the current sheet rather than by resistivity, so a thin sheet reconnects fast even in a highly conducting plasma.

02
Fluid Dynamics

Turbulence Needs Strain Over Rotation

Transition to turbulence in rotating and stratified flow is set by the ratio of strain to rotation rather than by Reynolds number alone.

03
Granular Physics

Segregation Needs a Size Gap

Granular segregation occurs only above a critical size ratio between particles, so mixtures with a modest size difference mix indefinitely.

04
Soft Matter

Gels Form on an Attraction Range

Colloidal gelation occurs at a volume fraction set by the range of attraction rather than by the strength of attraction, so short-range attractions gel at much lower fractions.

05
Polymer Physics

The Plateau Is a Packing Length

The entanglement plateau modulus of a polymer melt is set by the packing length rather than by molecular weight, so two polymers of very different molecular weight can have the same modulus.

06
Electrochemistry

Rate Capability Is a Current Ratio

Battery rate capability is set by the ratio of exchange current density to the diffusion length rather than by electrode thickness alone.

07
Photochemistry

Quantum Yield Is a Race

Photochemical quantum yield is set by the ratio of excited-state lifetime to vibrational relaxation time rather than by absorption cross-section.

08
Surface Science

Sticking Is an Energy Ratio

The sticking probability of a molecule on a surface depends on the ratio of its translational energy to the surface phonon energy rather than on surface temperature alone.

09
Thermodynamics

Entropy Production Has a Floor

Steady-state entropy production in a driven system reaches a minimum at an intermediate gradient rather than decreasing monotonically toward equilibrium.

10
Statistical Mechanics

Anomalous Diffusion Is Obstacles

The anomalous diffusion exponent of a particle in a crowded medium is set by the ratio of obstacle density to the particle's persistence length, not by the density alone.

11
Quantum Information

Entanglement Spreads at a Front

Entanglement growth in a chaotic quantum system is set by the operator spreading front rather than by the interaction strength, so stronger coupling can slow apparent growth by reshaping the front.

12
Nuclear Structure

Shells Close at an Asymmetry

Nuclear shell closures shift with neutron-proton asymmetry rather than being fixed by magic numbers, so a number that is magic in one isotope is not in another.

13
Atomic Physics

Isotope Shifts Bend

Isotope shifts in heavy atoms become nonlinear at a critical neutron number because the nuclear charge radius changes shape, not just size, so a linear extraction of radius misleads.

14
Plasma Astrophysics

Accretion States Follow a Time Ratio

The transition between hard and soft accretion states is set by the ratio of cooling time to heating time in the inner flow, not by accretion rate alone.

15
Galactic Astronomy

Spiral Pitch Is a Mass Ratio

The pitch angle of galactic spiral arms is set by the ratio of disc mass to halo mass rather than by the rotation curve alone.

16
Cosmochemistry

Grains Survive a Ratio

The survival of presolar grains through a shock is set by the ratio of shock duration to diffusion time rather than by peak temperature.

17
Meteoritics

Chondrules Freeze on a Ratio

Chondrule texture is set by the ratio of cooling rate to nucleation rate rather than by peak temperature, so the same peak produces different textures.

18
Planetary Interiors

Dynamos Need a Flux Ratio

A planetary dynamo requires the ratio of heat flux to the adiabatic gradient to exceed a threshold, so a hot core alone does not generate a field.

19
Rock Mechanics

Brittle-to-Ductile Is a Pressure Ratio

The brittle-to-ductile transition in rock is set by the ratio of pore pressure to confining pressure rather than by depth.

20
Soil Mechanics

Shear Bands Follow a Size Ratio

The width of a shear band in soil is set by the ratio of grain size to specimen size rather than by confining pressure.

21
Physical Oceanography

Mixed Layer Is a Flux Ratio

The depth of the ocean mixed layer is set by the ratio of surface buoyancy flux to wind stress rather than by wind speed alone.

22
Atmospheric Electricity

Lightning Needs a Field Ratio

Lightning initiation is set by the ratio of ambient field to hydrometeor size rather than by field strength, so weak fields with large particles can discharge.

23
Glaciology

Calving Is a Depth Ratio

Iceberg calving is set by the ratio of water depth to ice thickness at the terminus rather than by melt rate.

24
Combustion

Soot Is a Residence Ratio

Soot emission is set by the ratio of residence time in the rich zone to the oxidation time in the lean zone, not by equivalence ratio alone.

25
Corrosion Science

Corrosion Is an Area Ratio

Galvanic corrosion rate is set by the ratio of cathodic to anodic area rather than by potential difference alone.

26
Tribochemistry

Tribofilms Form on a Temperature Ratio

Anti-wear tribofilm formation requires the contact flash temperature to exceed a fraction of the additive's decomposition temperature, so load and speed act only through that ratio.

27
Rheology

Thickening Is a Stress Ratio

Discontinuous shear thickening occurs when the hydrodynamic stress exceeds the repulsive interparticle stress, so it appears at a critical ratio rather than a critical shear rate.

28
Cryogenics

Confinement Shifts the Transition

The superfluid transition in a confined geometry occurs at a temperature set by the ratio of pore size to the healing length rather than by the bulk transition alone.

29
Metrology

Uncertainty Has a Floor

The uncertainty of a measurement that is averaged over time reaches a minimum set by the ratio of averaging time to drift time, rather than decreasing indefinitely with more averaging.

Why this set

Twenty-nine subfields that the series had either skipped or treated as background. The entries are short by design: a claim, the mechanism that would make it true, two predictions, and the result that kills it. No bibliography; the evidence is the standard picture of each subfield rather than a specific paper.

Entry page: stoa.html. There is deliberately no index.html.

Publication records: source hashes · original README · original manifest · additive publication note

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