Incoprea Research

Original Theories Volume VIII · science index

85 retained entries from the original 100. Original entry numbers are preserved. These are working hypotheses, not findings or proofs.

Engineering & Materials

• Theory 057 · Absorbers Peak at a Depth Ratio
  The absorption peak of a porous absorber is set by the ratio of its thickness to the wavelength rather than by its flow resistivity, so the same material can be tuned across a band by thickness alone.
• Theory 055 · Printed Strength Follows the Layer Angle
  The anisotropy of additively manufactured parts is set by the angle between the load and the layer plane rather than by the process parameters, so strength should collapse onto a single curve in that angle across machines.
• Theory 056 · Cable Damping Is a Length Ratio
  The damping of a stay cable is set by the ratio of its length to the deck's effective span rather than by the damper's coefficient alone, so a damper sized for one bridge will underperform on another with different geometry.
• Theory 053 · Creep Follows the Load Ratio
  Concrete creep is set by the ratio of sustained load to strength rather than by load alone, so a high-strength mix under heavy load can creep less than a weak mix under light load.
• Theory 051 · Pitting Follows a Ratio
  Pitting corrosion initiates at a threshold in the ratio of chloride to inhibitor concentration rather than at a threshold chloride concentration, so the same chloride level can be safe or dangerous depending on what else is in the water.
• Theory 058 · Panel Decay Follows Humidity
  Photovoltaic module degradation is set by humidity-driven ion migration rather than by temperature alone, so installations in humid temperate climates can degrade faster than hot dry ones despite lower irradiance.
• Theory 060 · Starvation Begins at a Film Ratio
  Lubricant starvation begins when the film thickness ratio falls below a critical value set by the contact's inlet geometry, so starvation can occur at high speed with plenty of oil present.
• Theory 054 · Runaway Stops at a Spacing
  Thermal runaway propagates between cells only when their spacing falls below a critical value set by the balance of heat transfer and cell heat capacity, so packs can be made propagation-proof by geometry rather than by chemistry.
• Theory 052 · Weld Life Is Residual Relaxation
  Fatigue life of a welded joint is set by how fast residual stress relaxes rather than by its initial magnitude, so a joint with high but stable residual stress can outlast one with lower stress that relaxes quickly.
• Theory 059 · Yield Follows Cluster Size
  Semiconductor yield is set by the ratio of defect cluster size to die size rather than by defect density alone, so a process with more defects in small clusters can out-yield one with fewer but larger clusters.

Energy & Environment

• Theory 100 · Air Quality Is a Dilution Ratio
  Urban air pollution is set by the ratio of emission flux to mixing height rather than by emissions alone, so a city with high emissions and deep mixing can be cleaner than one with lower emissions and a shallow boundary layer.
• Theory 098 · Building Energy Is a Shape Ratio
  Building energy use is set by the ratio of envelope area to volume rather than by floor area, so a compact tall building can use less energy per square metre than a low sprawling one despite more glazing.
• Theory 096 · Capture Penalty Is a Temperature Ratio
  The energy penalty of carbon capture is set by the ratio of desorption temperature to the source temperature rather than by sorbent capacity, so a low-capacity sorbent with a small temperature swing can outperform a high-capacity one with a large swing.
• Theory 097 · Heat Pumps Fail at a Lift
  Heat pump performance falls sharply above a threshold temperature lift, so the same unit can be efficient in a mild climate and marginal in a cold one, and the threshold is set by the compressor rather than by the refrigerant.
• Theory 094 · Hydrogen Leakage Is a Seal Ratio
  Hydrogen leakage from pipelines is set by the ratio of operating pressure to seal tolerance rather than by pressure alone, so a high-pressure line with tight seals can leak less than a low-pressure one with poor sealing.
• Theory 092 · Solar Forecast Error Follows Advection
  Solar forecasting error scales with cloud advection speed rather than with cloud cover fraction, so a cloudy but still day can be easier to forecast than a partly cloudy windy one.
• Theory 093 · Storage Is Sized by Variance
  The storage needed to firm a renewable supply is set by the variance of the residual load rather than by its peak, so a system with a higher peak but lower variance can need less storage.
• Theory 099 · Tidal Power Needs Resonance
  The tidal energy available in a basin is set by how close its natural period is to the tidal forcing period rather than by tidal range, so a basin with a modest range near resonance can out-yield a larger one far from it.
• Theory 095 · Waste Heat Follows the Branching
  The heat output of nuclear waste is set by the branching ratio of the decay chains rather than by the total activity, so two wastes with equal activity can differ several-fold in heat and in storage requirements.
• Theory 091 · Wind Farms Are a Spacing Problem
  Wind farm power density is set by turbine spacing rather than by turbine efficiency, so larger, more efficient turbines in a tight array can produce less per hectare than smaller ones spaced further apart.

Medicine & Health

• Theory 042 · Antibiotics Are a Race
  Antibiotic efficacy is set by the ratio of kill rate to regrowth rate rather than by the area under the concentration curve, so a drug that kills quickly but clears quickly can outperform one with greater exposure.
• Theory 047 · Anticoagulant Dose Is a Clearance Problem
  Bleeding on anticoagulation is set by variability in renal clearance within a patient rather than by the average dose, so dose adjustment should track clearance changes rather than weight or creatinine at initiation.
• Theory 050 · Errors Scale With Test Volume
  Diagnostic error rates rise with the number of tests ordered rather than falling, because each additional test adds a chance of a false positive that can displace the correct diagnosis.
• Theory 041 · Fever Works by Kinetics
  Fever improves host defence by shifting immune reaction rates rather than by directly harming pathogens, so the benefit should appear only within a narrow temperature band and disappear at both extremes.
• Theory 048 · Rehabilitation Has a Dose Threshold
  Rehabilitation gains follow a dose-response with a threshold below which no benefit accrues, so low-intensity programmes produce no measurable effect rather than a small one, and resources should be concentrated.
• Theory 043 · Resistance Is Selected in a Window
  Resistance is selected most strongly at intermediate drug concentrations rather than at high or low ones, so the mutant selection window is the target for dosing rather than the trough.
• Theory 044 · Screening Intervals Follow Doubling Time
  The optimal screening interval scales with tumour doubling time rather than being a fixed number of years, so fast-growing cancers need shorter intervals and slow-growing ones are over-screened by current schedules.
• Theory 046 · Sepsis Is a Leak, Not a Storm
  Septic shock is driven by a threshold loss of endothelial barrier integrity rather than by cytokine amplitude, so the transition to shock should follow a permeability measure and be reversible before the barrier fails.
• Theory 045 · Surgical Infection Is Biofilm Age
  Surgical site infection is set by the age of the biofilm on the implant rather than by the contamination dose at surgery, so early contamination that matures before the wound closes is more dangerous than a larger dose later.

Earth & Space

• Theory 013 · Asteroid Shape Records Spin-Up
  The shape of a small asteroid is set by its spin history rather than by its collisional history, so elongated bodies indicate past spin-up and oblate bodies indicate spin-down, independent of family membership.
• Theory 015 · Lunar Swirls Are Magnetic Umbrellas
  Lunar swirls are produced by magnetic shielding of the surface from solar wind weathering rather than by electrostatic dust transport, so swirl brightness should map onto the magnetic anomaly boundary.
• Theory 019 · Mercury's Volatiles Came in One Size
  The volatile inventory of Mercury was delivered by a narrow size range of impactors rather than by a broad spectrum, so the abundance pattern should show a cutoff at the size that survived solar heating.
• Theory 014 · Obliquity Records Disk Lifetime
  The obliquity distribution of close-in planets records the lifetime of the protoplanetary disk rather than the migration channel, so systems with short-lived disks should show more misalignment.
• Theory 020 · Ocean Heat Uptake Is an Eddy Problem
  Ocean heat uptake is set by eddy diffusivity at a critical stratification rather than by surface warming, so uptake should slow abruptly once stratification passes a threshold.
• Theory 016 · Permafrost Thaw Follows Snow Depth
  Permafrost degradation is set by snow depth rather than by air temperature, because snow insulates the ground in winter, so a colder region with deeper snow can thaw faster than a warmer one with little snow.
• Theory 011 · Fault Recurrence Is Set by Roughness
  Earthquake recurrence intervals on a fault are set by its roughness rather than by loading rate, so a rough fault with fast loading can rupture less often than a smooth fault with slow loading.
• Theory 018 · Reversal Rate Tracks the Inner Core
  The frequency of geomagnetic reversals is set by the growth of the inner core rather than by mantle convection, so the reversal rate should change at the same times as inner-core growth milestones.
• Theory 017 · Surges Happen at a Storage Threshold
  Glacier surges occur when subglacial water storage reaches a threshold rather than when melt peaks, so surge timing should be predicted from storage rather than from the melt season.
• Theory 012 · Tremor Pitch Tracks the Gas Fraction
  Volcanic tremor frequency is set by the gas volume fraction in the conduit rather than by conduit length, so a shift in pitch records a change in exsolution rather than a change in geometry.

Mind & Behaviour

• Theory 031 · Attention Is a Sampling Rate
  Attention allocates sampling rate rather than selecting content, so distractors degrade performance by reducing the rate at which a target is sampled rather than by occupying a limited capacity.
• Theory 039 · Catastrophising Is a Precision Failure
  Pain catastrophising reflects a failure to weight sensory evidence rather than an exaggerated belief, so it should be reduced by increasing the precision of bodily signals rather than by changing what the patient thinks.
• Theory 033 · Emotion Is a Prediction Error
  Emotional intensity tracks the prediction error of bodily signals rather than their absolute state, so the same heart rate can feel calm or anxious depending on what was expected.
• Theory 034 · Habits Need a Surprise
  Habit formation requires a threshold in reward prediction error rather than repetition alone, so a behaviour repeated without surprise will not become habitual regardless of how often it is performed.
• Theory 037 · Language Learning Is Gated by Echo Memory
  Vocabulary acquisition is gated by phonological working memory capacity rather than by exposure, so children with the same input can differ several-fold in vocabulary depending on their echo memory span.
• Theory 036 · Risk Perception Tracks the Derivative
  Perceived risk tracks the rate of change of reported events rather than their level, so a declining hazard feels safer than a stable one at a higher level.
• Theory 038 · Spindles Gate Memory at a Density
  Sleep spindles support memory consolidation only above a density threshold, so the number per minute matters more than their individual amplitude, and boosting amplitude without density should not help.
• Theory 032 · Working Memory Is a Timing Window
  Working memory capacity is set by the temporal precision with which items are bound rather than by the number of slots, so capacity should fall when timing jitter rises even if item count is held constant.

Physics & Matter

• Theory 001 · Vacuum Birefringence Follows the Gradient
  Vacuum birefringence in strong magnetic fields is set by the field gradient rather than its peak strength, so a weaker but sharper field should polarise light more than a stronger uniform one.
• Theory 006 · Damage Clusters at Boundaries
  Radiation damage accumulates at grain boundaries because thermal spikes are confined there, so nanostructured materials with more boundary area can be more susceptible rather than more resistant.
• Theory 005 · Diffusion Follows the Elastic Dipole
  Atomic diffusion in alloys is set by the elastic dipole tensor of the diffusing species rather than by vacancy concentration, so two solutes in the same matrix can differ by orders of magnitude in mobility at equal vacancy density.
• Theory 008 · Ferroelectricity Dies at a Screening Length
  The critical thickness below which ferroelectricity disappears is set by the depolarisation screening length rather than by strain, so a film can be ferroelectric below the accepted limit if the electrodes screen well enough.
• Theory 004 · Glass Transition Tracks an Entropy Ratio
  The glass transition temperature scales with the ratio of configurational to vibrational entropy rather than with any single entropy, so compositions with the same total entropy can have different transition temperatures.
• Theory 010 · Bandgaps Follow the Mass Ratio
  The width of a locally resonant metamaterial bandgap is set by the ratio of resonator mass to host mass rather than by resonator quality factor, so a heavy, lossy resonator can outperform a light, high-Q one.
• Theory 003 · Moiré Superconductivity Peaks at Integer Filling
  Superconductivity in twisted bilayers peaks when the moiré unit cell contains an integer number of electrons, so the phase diagram is set by a commensurability condition rather than by a smooth density optimum.
• Theory 007 · Interfaces Block at One Wavelength Ratio
  Interface thermal resistance is maximal when the roughness scale matches a fixed ratio of the dominant phonon wavelength, so smoothing an interface can increase resistance and roughening can decrease it.
• Theory 002 · The Proton Radius Is Two Numbers
  The proton charge radius and the proton stiffness radius are different quantities that experiments weight differently, so the discrepancy between electron and muon measurements reflects what each method probes rather than an error in either.
• Theory 009 · Protection Ends When Disorder Correlates
  Topological edge states lose protection when the disorder correlation length exceeds the edge state width, so weak but long-range disorder is more damaging than strong but short-range disorder.

Food & Agriculture

• Theory 087 · Bycatch Follows Gear Curvature
  Bycatch rates are set by the curvature of the selectivity curve rather than by its midpoint, so two gears that catch the same size of target can differ several-fold in bycatch depending on how sharply selectivity changes with size.
• Theory 086 · Disease Follows Leaf Wetness Duration
  Foliar disease epidemics are set by the duration of leaf wetness rather than by rainfall amount, so a season of many light dews can drive more disease than a season of fewer heavy rains.
• Theory 085 · Germination Is a Rate, Not a Total
  Germination is triggered by the rate of water uptake rather than by the total water available, so seeds on a wet substrate that delivers water slowly may fail where a drier substrate delivering quickly succeeds.
• Theory 088 · Irrigation Efficiency Is an Infiltration Match
  Irrigation efficiency is set by the ratio of application rate to infiltration rate rather than by total water applied, so the same volume delivered faster can lose more to runoff than if delivered slowly.
• Theory 083 · Livestock Emissions Follow Feed Conversion
  Emissions per unit of animal product are set by feed conversion ratio rather than by diet composition, so a high-conversion animal on a mediocre diet can emit less than a low-conversion animal on a good one.
• Theory 082 · Nitrogen Efficiency Is Synchrony
  Nitrogen use efficiency is set by the synchrony between supply and crop demand rather than by the total applied, so splitting the same dose into better-timed applications can raise efficiency without reducing yield.
• Theory 090 · Pollination Is Flower Density
  Pollination success is set by flower density rather than by pollinator abundance, so a field with many pollinators and sparse flowers can set less fruit than one with few pollinators and dense flowers.
• Theory 084 · Post-Harvest Loss Is a Humidity Buffer
  Post-harvest loss in stored grain is set by the buffer capacity of the storage environment rather than by the initial moisture content, so grain stored slightly wet in a buffered silo can keep better than drier grain in an unbuffered one.
• Theory 081 · Yield Is a Root-to-Demand Ratio
  Crop yield is set by the ratio of rooting depth to evaporative demand rather than by water supply alone, so a shallow-rooted crop in a cool climate can out-yield a deep-rooted one in a hot one at equal irrigation.

Information & Computation

• Theory 064 · Cache Performance Is a Ratio
  Cache hit rate is set by the ratio of working set to cache capacity rather than by cache size alone, so a larger cache can perform worse than a smaller one if the working set grows faster than the cache.
• Theory 070 · Complexity Is Interface Count
  Software complexity is set by the number of interfaces between components rather than by lines of code, so a small system with many interfaces is harder to change than a large system with few.
• Theory 061 · Compression Predicts Generalisation
  A model's generalisation is predicted by how much it compresses its training data rather than by its parameter count, so a larger model that compresses better generalises better even when it has more capacity to memorise.
• Theory 067 · Data Quality Beats Scale Past a Point
  Beyond a threshold in dataset size, further improvement comes from data quality rather than quantity, so a smaller curated dataset should outperform a larger noisy one at equal compute.
• Theory 065 · Ensembles Fail When Errors Correlate
  Ensemble benefit disappears when member errors correlate above a threshold, so adding a highly accurate but correlated model can reduce the ensemble's reliability despite raising its average accuracy.
• Theory 068 · Tolerance Needs a Multiplicity
  Fault tolerance requires redundancy of a specific multiplicity set by the failure model rather than by the number of replicas, so adding replicas beyond the requirement adds cost without reliability when failures are correlated.
• Theory 062 · Distributed Failure Is a Latency Problem
  Distributed systems fail at a threshold in tail latency relative to timeout rather than at a threshold in load, so a system at low utilisation can fail if its tail latency crosses the timeout, and a busy one can survive if it is consistent.
• Theory 063 · Memory Bugs Cluster at Ownership Boundaries
  Memory-safety defects concentrate where ownership of an object changes hands rather than uniformly across code, so defect density should be predicted by the number of ownership transitions rather than by lines of code.
• Theory 066 · Verification Cost Tracks Diameter
  The cost of formally verifying a system scales with the diameter of its state space rather than with the number of states, so a system with more states but a smaller diameter can be cheaper to verify.

Life & Evolution

• Theory 024 · Coexistence Needs a Trait Gap
  Species coexist only when their trait difference exceeds a threshold set by the granularity of resources, so coexistence should fail between species that are different but not different enough.
• Theory 029 · Cooperation Needs Cheap Partner Choice
  Cooperation collapses when partner choice is costly rather than when relatedness is low, so interventions that reduce the cost of switching partners should stabilise cooperation more than interventions that increase kinship.
• Theory 026 · Domestication Is a Fear Threshold
  Domestication is the consequence of selection on a fear-response threshold rather than on tameness itself, so the suite of correlated changes in domesticated animals follows from a single shift in the threshold.
• Theory 025 · Extinction Risk Scales With Generation Time
  Extinction risk scales inversely with generation time rather than with body size, so a small short-lived species can be at higher risk than a large long-lived one in the same habitat.
• Theory 021 · Genome Size Is a Deletion Balance
  Genome size is set by the balance between deletional bias and the cost of DNA replication rather than by cell size, so species with the same cell size can differ in genome size by an order of magnitude if their deletion machinery differs.
• Theory 028 · Migration Is Timed by Photoperiod
  Migration timing is set by the integration of photoperiod rather than by temperature, so warming advances arrival only where photoperiod cues are weak, and strongly photoperiodic species should show little advance.
• Theory 027 · Mimicry Needs a Model Frequency
  Batesian mimicry evolves only when the model species exceeds a frequency threshold, so mimics should appear suddenly in populations where the model is common and be selected against where it is rare.
• Theory 023 · Multicellularity Needs Adhesion
  The transition to multicellularity requires a threshold in cell-cell adhesion energy rather than a threshold in cell number, so lineages that fail to cross it cannot become multicellular regardless of how often they form clusters.
• Theory 030 · Plasticity Comes Before Genes
  Phenotypic plasticity precedes genetic assimilation at a threshold of environmental predictability, so a trait should appear first as a plastic response and become fixed only when the environment is reliably predictive.
• Theory 022 · Sex Persists Above a Parasite Threshold
  Sexual reproduction is maintained only when parasite diversity exceeds a threshold, so low-parasite environments should select for asexuality, and the transition should be abrupt rather than gradual.

Index narrowed to the focused science collection. Biological and ecological population dynamics, genetics, physiology and engineering are retained. Source numbering remains historical; no remaining hypothesis has been promoted to a finding.