Incoprea Theory
Volume XIII · 30 October 2026

Thirty-one subfields · two claims each · not peer reviewed

Sixty-two theories, two to a subfield

Thirty-one subfields, two claims each, running from acoustofluidics through biophysics and bioprocessing to quantum sensing. Every entry carries a mechanism, two predictions and the result that would kill it.

62theories
31subfields
124predictions
62refutations
01
Acoustofluidics

Sorting Is a Force Ratio

Acoustic cell sorting resolves populations when the ratio of acoustic radiation force to viscous drag exceeds a threshold, so resolution is set by the ratio rather than by drive amplitude.

02
Acoustofluidics

Cavitation Follows the Resonance Gap

Cavitation damage in acoustofluidic devices is set by the ratio of driving frequency to bubble resonance frequency rather than by power, so damage peaks at a frequency where the two coincide.

03
Optomechanics

Cooling Stops at a Sideband Ratio

Optomechanical cooling is limited by the ratio of mechanical frequency to cavity linewidth, so a system in the resolved-sideband regime cools far better at the same input power.

04
Optomechanics

Squeezing Bandwidth Is a Coupling Ratio

The bandwidth over which a mechanical oscillator can be squeezed is set by the ratio of optomechanical coupling to cavity decay rate rather than by coupling alone.

05
Spintronics

Switching Is an Anisotropy Ratio

Spin-torque switching current is set by the ratio of magnetic anisotropy energy to spin-torque efficiency, so two devices with the same anisotropy need different currents.

06
Spintronics

Spin Seebeck Scales With Diffusion

The spin Seebeck voltage is set by the ratio of magnon diffusion length to film thickness, so a thin film can show a larger signal per unit length than a thick one.

07
Superconductivity

Critical Field Is a Ratio of Lengths

The upper critical field of a disordered superconductor is set by the ratio of coherence length to mean free path rather than by coherence length alone.

08
Superconductivity

Pinning Depends on Defect Spacing

The maximum pinning force is set by the ratio of vortex spacing to defect spacing, peaking when the two match rather than at maximum defect density.

09
Semiconductor Physics

Mobility Degrades at a Width Ratio

Channel mobility degrades when the channel thickness falls below a critical ratio of inversion-layer width, because interface roughness scattering overtakes phonon scattering.

10
Semiconductor Physics

Leakage Is a Trap Depth

Trap-assisted tunnelling current is set by the ratio of trap depth to barrier width rather than by trap density, so deep traps in thin barriers leak more than shallow traps in thick ones.

11
Dielectric Physics

Breakdown Is a Free-Volume Ratio

Dielectric breakdown strength is set by the ratio of free volume to trap density rather than by trap density alone, so a looser polymer with more traps can be stronger.

12
Dielectric Physics

Relaxors Need a Size Ratio

Relaxor behaviour appears when the ratio of polar nanoregion size to correlation length falls below a threshold, so the same composition can be a normal ferroelectric at larger regions.

13
Magnetic Materials

Coercivity Peaks at a Grain Size

Coercivity is maximised when the grain size approaches the single-domain size, falling for both smaller and larger grains.

14
Magnetic Materials

Exchange Bias Is a Thickness Ratio

Exchange bias in a ferromagnet-antiferromagnet bilayer is set by the ratio of antiferromagnet thickness to domain wall width, vanishing when the layer is thin enough to rotate as a whole.

15
Metamaterials

Negative Index Bandwidth Is a Loss Ratio

The bandwidth over which a metamaterial shows a negative index is set by the ratio of resonance strength to loss rather than by the resonance quality factor.

16
Metamaterials

Cloaking Bandwidth Is a Shell Ratio

The bandwidth of a cloaking shell is set by the ratio of shell thickness to wavelength, so a thin shell cloaks over a wider band at the cost of imperfect suppression.

17
Nanomechanics

Dissipation Is a Surface Ratio

Dissipation in nanomechanical resonators is set by the ratio of surface loss to volume loss, so shrinking a device increases loss even in the same material.

18
Nanomechanics

Nonlinearity Onset Is an Amplitude Ratio

The onset of nonlinear behaviour in a nanoresonator is set by the ratio of vibration amplitude to beam thickness rather than by absolute amplitude.

19
Colloid Science

Stability Is a Length Ratio

Colloidal stability is set by the ratio of electrostatic screening length to van der Waals attraction range rather than by surface charge alone.

20
Colloid Science

Sedimentation Structure Is a Ratio

The structure formed by settling colloids is set by the ratio of Péclet number to volume fraction rather than by either alone.

21
Interfacial Science

Hysteresis Is a Defect Ratio

Contact angle hysteresis on a real surface is set by the ratio of defect density to droplet size rather than by the equilibrium contact angle.

22
Interfacial Science

Adhesion Is a Capillary Ratio

The adhesion between a soft particle and a surface is set by the ratio of capillary length to elastic deformation length, so humidity changes adhesion only past a threshold.

23
Crystal Growth

Morphology Is a Supersaturation Ratio

Crystal habit is set by the ratio of supersaturation to surface diffusion rate rather than by supersaturation alone, so the same solution can give needles or blocks.

24
Crystal Growth

Defects Follow a Roughness Ratio

The density of growth defects is set by the ratio of growth rate to interface roughness, so faster growth is cleaner on a rough interface and dirtier on a smooth one.

25
High-Pressure Physics

Transition Pressure Is a Modulus Ratio

The pressure at which a solid-solid transition occurs is set by the ratio of bulk modulus to volume change rather than by the enthalpy difference alone.

26
High-Pressure Physics

Metallisation Closes a Gap

Pressure-induced metallisation occurs when the band gap falls below the thermal energy scale rather than at a fixed pressure, so warmer samples metallise sooner.

27
Cryo-Electron Microscopy

Resolution Is a Dose Ratio

Cryo-EM resolution is set by the ratio of electron dose to beam-induced motion rather than by dose alone, so more dose can reduce resolution on a moving specimen.

28
Cryo-Electron Microscopy

Contrast Is a Defocus Ratio

Phase contrast in cryo-EM is set by the ratio of defocus to specimen thickness, so thick specimens lose contrast even at strong defocus.

29
Single-Molecule Biophysics

Folding Is a Barrier Ratio

Protein folding rates are set by the ratio of barrier height to attempt frequency, so two proteins with the same stability can fold at very different rates.

30
Single-Molecule Biophysics

Force Sensitivity Is a Stiffness Ratio

The force resolution of a single-molecule trap is set by the ratio of trap stiffness to thermal noise rather than by the sensor's displacement resolution.

31
Membrane Biophysics

Pores Open on a Tension Ratio

Membrane pore formation occurs when the applied tension exceeds the ratio of line tension to pore radius, so the same tension is safe on one membrane and lytic on another.

32
Membrane Biophysics

Curvature Sensing Is a Footprint Ratio

Whether a protein senses membrane curvature is set by the ratio of its footprint to the curvature radius, so the same protein is a sensor on small vesicles and blind on large ones.

33
Cytoskeletal Mechanics

Network Stiffness Is a Crosslink Ratio

The stiffness of an actin network is set by the ratio of crosslink density to filament length, so dense short filaments form stiff gels while sparse long ones form compliant ones.

34
Cytoskeletal Mechanics

Contractility Is a Duty Ratio

Cell contractility is set by the ratio of myosin activity to crosslinker unbinding rate rather than by myosin activity alone, so a network that remodels quickly cannot sustain force.

35
Bioenergetics

ATP Yield Is a Leak Ratio

ATP yield from a metabolic substrate is set by the ratio of proton leak to coupling efficiency rather than by substrate identity, so the same fuel yields differently across tissues.

36
Bioenergetics

Metabolic Rate Is an Area Ratio

Resting metabolic rate is set by the ratio of membrane area to cell volume rather than by mass, so a cell's cost per unit mass rises as it shrinks.

37
Enzyme Kinetics

Promiscuity Is a Complementarity Ratio

Enzyme promiscuity is set by the ratio of transition-state complementarity to substrate fit, so a rigid active site is less promiscuous than a flexible one of the same affinity.

38
Enzyme Kinetics

Allostery Is an Affinity Gap

The magnitude of allosteric activation is set by the ratio of ligand affinities between the two states rather than by the effector's own affinity.

39
Protein Folding

Aggregation Is a Patch Ratio

Aggregation propensity is set by the ratio of hydrophobic patch area to net charge rather than by hydrophobicity alone, so a strongly hydrophobic protein can stay soluble if it is charged enough.

40
Protein Folding

Chaperones Need a Rate Gap

Whether a protein requires chaperones is set by the ratio of its folding rate to translation rate, so a slow-folding domain on a fast ribosome needs help.

41
Nucleic Acid Biophysics

Hybridisation Is a Salt Ratio

Nucleic acid hybridisation rate is set by the ratio of salt concentration to duplex length rather than by salt alone, so long duplexes need more salt to reach the same rate.

42
Nucleic Acid Biophysics

Quadruplex Stability Is a Loop Ratio

G-quadruplex stability is set by the ratio of loop length to cation radius, so the same sequence folds differently with different ions.

43
Cell Mechanics

Migration Mode Is an Adhesion Ratio

The mode of cell migration is set by the ratio of adhesion strength to contractility, with adhesion-dominated cells moving by protrusion and contractility-dominated cells moving by blebbing.

44
Cell Mechanics

Nuclear Limits Are a Stiffness Ratio

The deformation a nucleus can survive is set by the ratio of lamin stiffness to chromatin stiffness, so softening chromatin increases deformability only when lamin is high.

45
Tissue Engineering

Vascularisation Is a Diffusion Limit

The maximum thickness of an engineered tissue is set by the ratio of oxygen diffusion length to cell density rather than by scaffold design.

46
Tissue Engineering

There Is a Stiffness Optimum

Matrix stiffness for tissue growth peaks at an optimum set by the ratio of cell traction to matrix modulus, rather than increasing monotonically.

47
Immunoengineering

T-Cell Activation Is a Spacing Ratio

T-cell activation is set by the ratio of ligand spacing to receptor size, so the same ligand density can be activating or silent depending on arrangement.

48
Immunoengineering

Depot Effect Is a Persistence Ratio

The depot effect of a vaccine formulation is set by the ratio of particle persistence to antigen release rate rather than by total antigen dose.

49
Synthetic Biology

Leak Is a Promoter Ratio

The leak of a genetic circuit is set by the ratio of promoter strength to repressor affinity rather than by promoter strength, so a strong promoter can be tight with a strong repressor.

50
Synthetic Biology

Burden Is an Expression Ratio

The fitness burden of an engineered circuit is set by the ratio of heterologous to native protein expression, not by heterologous expression alone.

51
Metabolic Engineering

Flux Is a Capacity Ratio

Pathway flux is set by the ratio of enzyme capacity to pathway demand, so overexpressing one enzyme helps only until it stops being the limiting capacity.

52
Metabolic Engineering

Toxicity Is an Efflux Ratio

Intermediate toxicity in an engineered pathway is set by the ratio of production rate to efflux capacity rather than by the intermediate's intrinsic toxicity.

53
Biocatalysis

Solvent Tolerance Is a Surface Ratio

Enzyme stability in organic solvent is set by the ratio of surface charge to hydrophobic patch area, so a more charged enzyme tolerates more solvent.

54
Biocatalysis

Immobilisation Is a Transfer Ratio

The benefit of immobilising an enzyme is set by the ratio of mass transfer rate to intrinsic catalytic rate, so a fast enzyme gains nothing from a poorly permeable support.

55
Bioprocess Engineering

Scale-Up Fails on a Mixing Ratio

Bioprocess scale-up failure is set by the ratio of mixing time to reaction time, so a process that works at small scale can fail at large scale at identical conditions.

56
Bioprocess Engineering

Yield Is an Oxygen Ratio

Aerobic yield is set by the ratio of oxygen transfer capacity to oxygen demand rather than by dissolved oxygen setpoint.

57
Environmental Chemistry

Persistence Is a Partitioning Ratio

The environmental persistence of a chemical is set by the ratio of its degradation rate to its partitioning into protected phases, so a compound can persist long after it becomes undetectable in water.

58
Environmental Chemistry

Bioaccumulation Is Uptake Over Elimination

Bioaccumulation is set by the ratio of uptake rate to elimination rate rather than by lipophilicity alone, so highly lipophilic compounds can fail to accumulate if they are metabolised.

59
Atmospheric Aerosols

Cloud Droplets Need a Size Ratio

Whether an aerosol activates into a cloud droplet is set by the ratio of particle size to the critical size at the ambient supersaturation, not by size alone.

60
Atmospheric Aerosols

Lifetime Is a Removal Ratio

Aerosol lifetime is set by the ratio of wet deposition rate to production rate rather than by deposition velocity alone.

61
Quantum Sensing

Sensitivity Is a Coherence Ratio

Quantum sensor sensitivity is set by the ratio of coherence time to averaging time rather than by coherence time alone, so a short-coherence sensor can win if it can be averaged faster.

62
Quantum Sensing

Dynamic Range Is a Decoherence Ratio

The dynamic range of a quantum sensor is set by the ratio of decoherence rate to drive strength, so stronger driving widens range at the cost of coherence.

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: crypt.html. There is deliberately no index.html.

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

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