Incoprea Theory
Volume X · 30 October 2026

The 999 project · installment one · not peer reviewed

One hundred and twenty of nine hundred and ninety-nine

The target is 999 new theories. This is the first installment: twelve domains, ten each. Every entry states a mechanism, two predictions and the result that would kill it.

120theories
12domains
240predictions
120refutations
Installment one of nine. 120 of 999 theories are published here. The remaining 879 will be issued in eight further installments of roughly 110 each, in the same format, so the catalogue stays auditable and each batch can be reviewed before the next is written. A count is not a substitute for care; batching is how the target stays honest.

Acoustics & Vibration

10
001

Room Modes Follow a Volume Ratio

A room's modal density is felt only when volume per unit absorption crosses a threshold, so a large dry room can sound smaller than a small live one.

002

Damping Is Joint Slip

Structural damping in bolted assemblies is set by micro-slip amplitude at joints rather than by material loss factors.

003

Cleaning Is a Cavitation Threshold

Ultrasonic cleaning efficacy is set by how far the drive exceeds the cavitation threshold at that frequency, not by acoustic power.

004

Annoyance Tracks Change

Annoyance from environmental noise follows the rate of change of exposure rather than its level, so a stable noisy area can be tolerated while a quieting area remains a complaint source.

005

Consonance Is Roughness

Musical consonance is set by a roughness threshold in the auditory filter bank rather than by the simplicity of frequency ratios.

006

Insulation Fails at Coincidence

Building panel insulation collapses at a coincidence frequency set by panel mass and stiffness, so a heavier panel can insulate worse in a band.

007

Hand-Arm Injury Is a Rate

Vibration-induced white finger is set by the rate of energy delivery to the fingers rather than by cumulative exposure, so rest breaks change outcome at equal dose.

008

Sonar Range Is the Profile

Sonar detection range is set by the curvature of the sound speed profile rather than by source level, so a louder source in a defocusing profile can detect less.

009

Distortion Follows Breakup Density

Loudspeaker distortion is set by the density of diaphragm breakup modes rather than by the first breakup frequency, so a lower first mode with dense modes above can sound cleaner.

010

Hearing Loss Reads Kurtosis

Noise-induced hearing loss is predicted by the kurtosis of the exposure rather than by equal-energy dose, so impulsive noise damages more at the same energy.

Optics & Photonics

10
011

Laser Damage Counts Defects

Laser-induced damage threshold is set by absorbing defect density rather than by fluence alone, so two coatings of identical design can differ several-fold.

012

Nonlinearity Is an Area Ratio

The onset of nonlinear impairment in fibre links is set by the ratio of launch power to effective mode area rather than by power.

013

Droop Begins at a Density

LED efficiency droop begins at a carrier density threshold where Auger recombination overtakes radiative recombination, so the onset current scales with active volume.

014

Holograms Need Coherence Depth

Holographic image quality is set by coherence length relative to scene depth rather than by laser power, so a deep scene needs a longer coherence length.

015

Imaging Depth Is Anisotropy

Optical coherence tomography penetration is set by the scattering anisotropy factor rather than by scattering coefficient alone, so a highly forward-scattering tissue can be imaged deeper.

016

Crosstalk Is an Index Ratio

Crosstalk between photonic waveguides is set by the ratio of index contrast to spacing rather than by spacing alone, so a tighter spacing can be tolerated with higher contrast.

017

Flare Follows Scatter Correlation

Lens flare is set by the spatial correlation of coating scatter rather than by total scatter, so a coating with more scatter arranged randomly can flare less than a smoother but correlated one.

018

Compression Hits a Gain Limit

The shortest pulse achievable in a chirped-pulse amplifier is set by gain narrowing rather than by the seed bandwidth.

019

Interferometry Reads the Air

Interferometric measurement error is set by the correlation length of air turbulence rather than by its magnitude, so strong but fine-grained turbulence can matter less than weak and coarse.

020

Gamut Is Primary Width

A display's colour gamut is set by the spectral width of its primaries rather than by their peak wavelength.

Materials Processing

10
021

Porosity Is a Gradient Ratio

Casting porosity is set by the ratio of thermal gradient to solidification rate rather than by either alone.

022

Forging Stress Is Chill Depth

Residual stress in a forging is set by the depth of die chilling during the final blows rather than by the overall forging load.

023

Distortion Is Hold Time

Heat-treatment distortion is set by austenitizing hold time rather than by peak temperature, because grain growth during the hold redistributes transformation strain.

024

Adhesion Is Roughness Wavelength

Coating adhesion is maximal at an intermediate substrate roughness wavelength rather than at maximum roughness.

025

Compaction Is a Contact Network

Powder compaction density rises sharply at a percolation threshold in the contact network rather than smoothly with pressure.

026

Chatter Is a Width Ratio

Machining chatter begins at a critical ratio of depth of cut to tool engagement width rather than at a critical depth.

027

Brazed Joints Peak at a Layer

Brazed joint strength peaks at an intermediate intermetallic layer thickness, weakening both thinner and thicker.

028

Die Swell Is a Time Ratio

Polymer extrudate swell is set by the ratio of relaxation time to residence time in the die, not by shear rate alone.

029

Shrinkage Follows Dihedral Angle

Sintering shrinkage is set by the distribution of dihedral angles rather than by mean particle size.

030

Plating Uniformity Is a Current Ratio

Electroplating thickness uniformity is set by the ratio of ohmic to kinetic resistance rather than by current density.

Robotics & Autonomy

10
031

Grasp Is a Friction Ratio

Grasp success is set by the ratio of available friction to object curvature rather than by grip force alone, so a curved smooth object can slip despite high force.

032

SLAM Drift Is Closure Density

Localisation drift is set by the density of loop closures rather than by sensor quality, so a good sensor without closures drifts more than a poor one with them.

033

Balance Is a Margin

Humanoid balance recovery is set by the capture point margin rather than by the centre of mass position, so a robot inside its support polygon can still fall.

034

Swarms Need Density

Swarm coordination emerges only above a threshold in communication neighbour density, below which the group fragments into independent agents.

035

Transfer Follows Embodiment

Manipulation policies transfer between robots only when the ratio of task-relevant to embodiment-specific degrees of freedom exceeds a threshold.

036

Endurance Is Disc Loading

Multirotor endurance is set by the ratio of payload to disc loading rather than by battery capacity, so a larger rotor can outlast a larger battery.

037

Latency Tolerance Is Task Error

Tolerable teleoperation latency is set by the task's error tolerance rather than by the operator's skill, so the same link supports coarse and blocks fine work.

038

Soft Actuators Are a Pressure Ratio

Soft actuator stroke is set by the ratio of chamber pressure to wall stiffness rather than by pressure alone, so a stiffer body can deliver less motion at higher pressure.

039

Gait Has a Frequency Optimum

Legged locomotion efficiency peaks at a stride frequency set by the ratio of natural leg frequency to speed, not at the frequency that minimises cost of transport empirically.

040

Safety Is an Energy Ratio

Robot safety certification thresholds are set by the ratio of kinetic energy to impact area rather than by mass or speed alone.

Networks & Telecommunications

10
041

Buffers Follow Bandwidth-Delay

Network throughput collapses when buffer size falls below a critical fraction of the bandwidth-delay product, rather than degrading smoothly.

042

Millimetre Coverage Is Blockage

Millimetre-wave coverage is set by blockage density rather than by path loss, so a dense low-rise area can outperform an open area with few reflectors.

043

Latency Is Route Circuity

Network latency is set by the ratio of physical route length to great-circle distance rather than by nominal distance.

044

Spectrum Efficiency Is Correlation

Achievable spectral efficiency is set by the correlation of interference across antennas rather than by signal-to-noise ratio.

045

Caching Is a Locality Ratio

Content delivery cost is set by the ratio of cache size to demand locality rather than by cache capacity.

046

Mesh Resilience Is Articulation

Mesh network resilience is set by the number of articulation points rather than by node count or redundancy.

047

Constellation Capacity Is Elevation

Satellite constellation capacity is set by the distribution of elevation angles rather than by satellite count.

048

Wi-Fi Loss Is Airtime Share

Wi-Fi contention loss is set by the ratio of offered airtime to available airtime rather than by the number of stations.

049

Clock Error Is Chain Depth

Time synchronisation error is set by the depth of the distribution chain rather than by the quality of the master clock.

050

Exposure Is Reachability

Network exposure is set by the ratio of reachable to total hosts rather than by the number of hosts.

Water & Sanitation

10
051

Disinfection Beats Repair

Disinfection efficacy is set by the ratio of contact time-times-concentration to the organism's repair rate rather than by CT alone.

052

Fouling Begins Below Critical Flux

Membrane fouling is set by the ratio of operating flux to critical flux rather than by transmembrane pressure.

053

Leakage Is a Pressure Ratio

Distribution leakage is set by operating pressure relative to pipe condition rather than by pressure alone.

054

Coagulation Is a Charge Threshold

Optimal coagulant dose is set by the charge neutralisation point rather than by turbidity, so a clearer water can need more coagulant.

055

Recovery Is a Saturation Ratio

Desalination energy is set by recovery ratio relative to saturation concentration rather than by salinity alone.

056

Well Decline Has a Knee

Well yield declines abruptly once specific capacity falls below a threshold, because turbulent losses overtake laminar flow.

057

Aeration Is Transfer Efficiency

Wastewater aeration cost is set by oxygen transfer efficiency relative to demand rather than by blower power.

058

Lead Release Is a Solubility Edge

Lead release is set by whether the corrosion scale is on the soluble side of a stability boundary, not by lead concentration in the source water.

059

Harvesting Is a Storage Ratio

Rainwater harvesting yield is set by storage capacity relative to demand rather than by roof area.

060

Sanitation Adoption Is a Ratio

Sanitation adoption is set by the ratio of convenience to cost rather than by health messaging.

Mining & Minerals

10
061

Ore Cost Is a Liberation Ratio

Processing energy per unit metal is set by the ratio of energy needed for liberation to the grade recovered, so falling grade raises cost faster than linearly.

062

Flotation Is a Size Ratio

Flotation recovery is set by the ratio of particle size to bubble size rather than by collector dose.

063

Fragmentation Is a Powder Factor

Blast fragmentation is set by the powder factor relative to rock mass, so doubling charge in a larger volume changes nothing.

064

Rockburst Is a Stress Ratio

Rockburst risk is set by the ratio of excavation-induced stress to rock strength rather than by depth.

065

Tailings Fail at a Water Line

Tailings dam failure is set by the ratio of phreatic surface height to crest height rather than by dam height.

066

Heap Recovery Is Percolation

Heap leach recovery is set by whether the lift percolates uniformly rather than by leach time.

067

Grinding Follows the Work Index

Grinding energy is set by the work index relative to the size reduction ratio, so a harder ore ground coarsely can use less energy than a softer ore ground finely.

068

Ventilation Is a Leakage Ratio

Mine ventilation cost is set by the ratio of leakage to useful airflow rather than by fan power.

069

Drainage Is a Neutraliser Ratio

Acid mine drainage occurs when the ratio of acid-generating to neutralising minerals exceeds a threshold, not when pyrite is present.

070

Exploration Is a Resolution Ratio

Exploration success is set by the ratio of target area to survey resolution rather than by survey budget.

Textiles & Fibres

10
071

Drape Is a Bending Ratio

Fabric drape is set by the ratio of bending stiffness to weight, so a heavier fabric can drape better than a lighter one.

072

Yarn Peaks at a Twist

Yarn strength peaks at an optimum twist multiplier and falls both thinner and thicker.

073

Dye Uptake Is Crystallinity

Dye uptake is set by the amorphous fraction of the fibre rather than by dye concentration.

074

Pilling Is Migration

Fabric pilling is set by the propensity of fibres to migrate to the surface rather than by fibre strength.

075

Breathability Is a Pore Ratio

Waterproof-breathable performance is set by the ratio of pore size to the mean free path of water vapour rather than by pore volume.

076

Flammability Is a Char Ratio

Textile flammability is set by the ratio of char-forming to fuel-forming decomposition pathways rather than by ignition temperature.

077

Colourfastness Is an Affinity Edge

Colourfastness is set by whether dye-fibre affinity exceeds the wash liquor's stripping power, not by initial shade depth.

078

Comfort Is a Transport Ratio

Fabric comfort is set by the ratio of moisture regain to transport rate, so a high-regain fibre that transports slowly feels clammy.

079

Nonwoven Strength Is Bond Density

Nonwoven strength rises sharply above a threshold bond density and plateaus beyond it, rather than scaling smoothly.

080

Shedding Is Twist vs Abrasion

Microfibre shedding is set by the ratio of twist level to abrasion severity, so tighter twist reduces shedding only when abrasion is mild.

Law & Forensic Science

10
081

Fingerprints Need Minutiae Margin

Fingerprint identification error is set by the ratio of usable minutiae to distortion, so a clean print with few features can be less reliable than a smudged one with many.

082

Mixtures Fail at a Ratio

DNA mixture interpretation becomes unreliable when the ratio of minor to major contributor falls below a threshold, independent of total template.

083

Confidence Is Post-Hoc

Eyewitness confidence tracks the feedback given after identification rather than accuracy, so confidence measured later is a poor guide.

084

Glass Matching Is Overlap

Forensic glass matching discriminative power is set by the overlap of refractive index distributions rather than by absolute index difference.

085

Stain Patterns Are a Viscosity Ratio

Bloodstain pattern geometry is set by the ratio of impact energy to viscosity rather than by impact energy.

086

Evidence Integrity Is Chain Length

Digital evidence integrity assurance is set by the length of the unbroken hash chain rather than by the strength of the hash.

087

Detection Is a Base Rate

The practical accuracy of deception detection is set by the base rate of deception rather than by test sensitivity.

088

Disparity Is a Discretion Ratio

Sentencing disparity is set by the ratio of judicial discretion to appellate review rather than by the sentencing range.

089

Backlogs Are a Flow Ratio

Case backlog is set by the ratio of filings to disposal capacity rather than by case complexity.

090

Expert Weight Is a Ratio

The influence of expert testimony is set by the ratio of stated confidence to the strength of the underlying evidence rather than by credentials.

Veterinary Medicine

10
091

Resistance Is a Group Ratio

Antimicrobial resistance in livestock is set by the ratio of group to individual treatment rather than by total consumption.

092

Herd Immunity Is Age Mixing

Herd immunity thresholds in livestock are set by mixing between age groups rather than by R0 alone.

093

Lameness Is a Load Ratio

Equine lameness is set by the ratio of load to hoof contact area rather than by body mass.

094

Mastitis Is a Vacuum Ratio

Bovine mastitis incidence is set by the ratio of milking vacuum to teat-end pressure rather than by hygiene alone.

095

Kennel Cough Is Ventilation

Kennel cough spread is set by the ratio of ventilation to occupancy rather than by animal density alone.

096

Leg Weakness Is a Maturity Ratio

Poultry leg weakness is set by the ratio of growth rate to skeletal maturity, not by growth rate.

097

Resistance Is Refugia

Anthelmintic resistance is set by the proportion of the parasite population in refugia rather than by treatment frequency.

098

Anesthetic Risk Is a Surface Ratio

Small-animal anesthetic risk is set by the ratio of body mass to surface area rather than by mass, so small patients are dosed proportionally higher.

099

Cold Chain Is Excursion Time

Vaccine cold chain failure is set by the ratio of cumulative excursion time to the permitted limit rather than by the worst temperature reached.

100

Spillover Is an Interface

Wildlife disease spillover risk is set by the density of the human-wildlife interface rather than by wildlife reservoir prevalence.

Soil Science

10
101

Compaction Is a Pressure Ratio

Soil compaction is set by the ratio of axle load to tyre contact pressure rather than by axle load.

102

Infiltration Is a Crust Ratio

Infiltration rate is set by the ratio of crust conductivity to matrix conductivity, so a thin crust can dominate a permeable soil.

103

Salinity Is an Evaporation Ratio

Soil salinisation is set by the ratio of evaporation to leaching rather than by irrigation water salinity.

104

Aggregates Need Fungal Bias

Aggregate stability is set by the ratio of fungal to bacterial biomass rather than by total microbial biomass.

105

Respiration Is a Carbon Ratio

Soil respiration is set by the ratio of labile to recalcitrant carbon rather than by total carbon.

106

Erosion Is a Cover Ratio

Erosion is set by the ratio of rainfall erosivity to ground cover rather than by rainfall amount.

107

Nitrous Oxide Is an Anaerobic Share

Nitrous oxide flux is set by the ratio of anaerobic to total soil volume rather than by nitrogen application.

108

Phosphorus Is a Sorption Ratio

Plant-available phosphorus is set by the ratio of sorption to desorption capacity rather than by total soil phosphorus.

109

Soil Temperature Is Inertia

Soil temperature amplitude is set by the ratio of thermal inertia to albedo rather than by air temperature.

110

Soil Diversity Is Pore Size

Soil biodiversity is set by the pore-size distribution rather than by organic matter content.

Forestry & Fire Ecology

10
111

Crown Fire Is a Bulk Ratio

Crown fire initiation is set by the ratio of canopy bulk density to canopy base height rather than by surface fuel load.

112

Spread Is Wind Over Slope

Fire spread rate is set by the ratio of wind speed to slope steepness rather than by either alone.

113

Regeneration Is Seed vs Severity

Post-fire regeneration is set by the ratio of seed bank to burn severity rather than by burn area.

114

Forest Carbon Is a Balance

Forest carbon storage is set by the ratio of growth to decomposition rather than by growth alone.

115

Beetles Need Drought Stress

Bark beetle outbreaks occur when the ratio of drought stress to tree defensive capacity exceeds a threshold, not when beetle populations are high.

116

Timber Is a Rotation Ratio

Timber yield is set by the ratio of site index to rotation length rather than by site index.

117

WUI Risk Is Defensible Space

Wildland-urban interface loss is set by the ratio of defensible space to ember load rather than by proximity to vegetation.

118

Prescribed Burns Are a Consumption Ratio

Prescribed burn effectiveness is set by the ratio of fuel consumed to the fuel reduction target rather than by burn area.

119

Drought Death Is a Margin

Forest drought mortality is set by the ratio of hydraulic demand to safety margin rather than by precipitation deficit.

120

Planting Survival Is Root Ratio

Reforestation survival is set by the root-to-shoot ratio at planting rather than by seedling size.

How to read this installment

Each entry is deliberately short: a claim, the mechanism that would make it true, two predictions, and a refutation. There is no bibliography in this volume, which makes it fast to read and slow to audit. If a claim cannot be killed by the experiment in section three, it should not be here.

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

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

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