Incoprea Research

Original Theories Volume XXVII · science index

82 retained entries from the original 89. Original entry numbers are preserved. These are working hypotheses, not findings or proofs.

Biology & physiology

• Theory 48 · Water Loss Is Area Against Barrier
  Cutaneous water loss in amphibians is set by the ratio of surface area to lipid barrier thickness, so a small species loses relatively more.
• Theory 50 · Viscosity Is Cells Against Vessel
  Blood viscosity is set by the ratio of haematocrit to vessel diameter, so the same blood is thinner in capillaries than in arteries.
• Theory 46 · Diving Is Bradycardia Against Resistance
  Dive duration is set by the ratio of bradycardia magnitude to peripheral resistance, so the reflex extends breath-hold only if both change together.
• Theory 44 · Germination Is Imbibition Against Repair
  A seed germinates only when the ratio of imbibition rate to membrane repair rate exceeds a threshold, so fast wetting can kill a viable seed.
• Theory 45 · Gills Are Surface Against Demand
  The maximum metabolic rate of an aquatic animal is set by the ratio of gill surface area to oxygen demand, so warming water lowers it by raising demand.
• Theory 49 · Spiracle Control Is Demand Against Loss
  Insects open spiracles only when the ratio of respiratory demand to water loss cost exceeds one, which is why they breathe in bursts in dry air.
• Theory 42 · Concentration Is Loop Against Flow
  Maximum urine concentration is set by the ratio of loop of Henle length to tubular flow rate, so a longer loop concentrates more at the same flow.
• Theory 47 · Adaptation Is Synthesis Against Uptake
  Whether a cell synthesises or imports compatible solutes is set by the ratio of synthesis cost to transport cost, so nutrient-rich cells import and starved cells synthesise.
• Theory 43 · Barrier Is Lipid Against Water
  Skin water loss is set by the ratio of lipid packing order to hydration, so a well-hydrated stratum corneum loses more water than a dry one.
• Theory 41 · Thirst Balances Salt and Volume
  Thirst is triggered when the ratio of plasma osmolality to blood volume exceeds a threshold, so the same water deficit produces thirst or none depending on salt load.

Earth & climate

• Theory 51 · Rivers Are Flux Against Convergence
  The intensity of an atmospheric river is set by the ratio of moisture flux to convergence, so a fast filament can carry little water if it does not converge.
• Theory 59 · Cloud Life Is Condensation Against Rain
  Cloud lifetime is set by the ratio of condensation supply to precipitation removal, so a cloud that rains efficiently is short-lived.
• Theory 58 · Depletion Is Pumping Against Recharge
  Aquifer depletion occurs when the ratio of abstraction to recharge exceeds one, and the decline rate scales with groundwater residence time.
• Theory 55 · Discharge Is Storage Against Residence
  River discharge is set by the ratio of catchment storage to residence time, so a large slow catchment sustains flow through dry periods.
• Theory 54 · Drought Onset Is Demand Against Supply
  Drought begins when the ratio of evapotranspiration demand to precipitation supply exceeds one, so a normal dry season becomes a drought only when demand is high.
• Theory 60 · Fog Forms on a Cooling Ratio
  Fog forms when the ratio of radiative cooling to moisture supply exceeds a threshold, so a clear calm night with moist air produces fog and a windy one does not.
• Theory 52 · Rainfall Efficiency Is Condensed Against Lost
  Precipitation efficiency is set by the ratio of condensation to re-evaporation, so a dry sub-cloud layer can evaporate most of what falls.
• Theory 57 · Salinity Is Evaporation Against Rain
  Surface salinity patterns are set by the ratio of evaporation to precipitation, so a warm salty region can sit beside a fresh one at the same temperature.
• Theory 56 · Sea Level Is Expansion Against Ice
  The rate of sea-level rise is set by the ratio of thermal expansion to ice mass loss, so two warming scenarios can give the same rise from different causes.
• Theory 53 · Memory Is Storage Against Loss
  How long soil moisture anomalies persist is set by the ratio of storage capacity to evapotranspiration rate, so deep wet soils carry memory for months.

Measurement & modelling

• Theory 77 · Calibration Is Parameters Against Data
  A hydrological model is identifiable only when the ratio of calibrated parameters to independent observations is small, so a rich model fitted to a short record is not constrained.
• Theory 79 · Pan Evaporation Is Advection Against Radiation
  Pan evaporation trends can move opposite to actual evaporation when the ratio of advection to radiation changes, which is why declining pans coexisted with increasing evaporative demand.
• Theory 78 · Estimates Need Record Against Return
  The uncertainty of a flood estimate is set by the ratio of record length to return period, so a 100-year flood cannot be estimated from a 20-year record without strong assumptions.
• Theory 75 · Separation Is Event Against Pre-Event
  Isotope hydrograph separation is reliable only when the ratio of event to pre-event isotopic contrast exceeds the analytical precision, so a small contrast yields meaningless fractions.
• Theory 72 · Gauge Error Is Wind Against Exposure
  Rain gauge undercatch is set by the ratio of wind speed to gauge orifice shielding, so exposed gauges underreport snowfall by a large and systematic margin.
• Theory 71 · Rating Curves Are Stage Against Geometry
  The accuracy of a streamflow rating curve is set by the ratio of stage measurement precision to channel section change, so a mobile bed invalidates a curve that a fixed bed supports.
• Theory 73 · Retrieval Is Vegetation Against Roughness
  The accuracy of remotely sensed soil moisture is set by the ratio of vegetation optical depth to surface roughness, so a dense canopy masks the soil signal.
• Theory 80 · Sampling Is Grabs Against Variability
  The confidence of a water quality estimate is set by the ratio of grab sample count to concentration variability, so a few samples of a variable analyte say almost nothing.
• Theory 74 · Residence Time Is Injection Against Detection
  The measurable residence time in a tracer test is set by the ratio of injected mass to detection limit, so a short test cannot resolve a long residence time.
• Theory 76 · Age Is Decay Against Mixing
  The apparent age of groundwater is set by the ratio of tracer decay rate to mixing rate, so a mixed sample reports an age that no water in it has.

Transport & flow

• Theory 37 · Mobilisation Is Viscous Against Capillary
  Whether a trapped fluid phase mobilises is set by the ratio of viscous to capillary forces, so residual saturation depends on flow rate.
• Theory 31 · Rise Is Tension Against Gravity
  Capillary rise height is set by the ratio of surface tension to pore radius times gravity, so a fine pore lifts water higher but more slowly.
• Theory 39 · Regime Is Inertia Against Viscosity
  Whether open-channel flow is laminar or turbulent is set by the Reynolds number, so scale and velocity together decide the regime.
• Theory 36 · Flow Is Gradient Against Conductivity
  Groundwater flux is set by the ratio of hydraulic gradient to conductivity, so a steep gradient in a tight aquifer moves less water than a gentle one in a permeable one.
• Theory 33 · Drag Reduction Is a Time Ratio
  Polymer drag reduction is set by the ratio of polymer relaxation time to eddy turnover time, so a polymer only reduces drag in the range where the two match.
• Theory 35 · Infiltration Is Rain Against Conductivity
  Whether rain infiltrates or runs off is set by the ratio of rainfall intensity to saturated hydraulic conductivity, so the same storm behaves differently on two soils.
• Theory 32 · Permeability Follows Pore Throats
  The permeability of a porous medium is set by the ratio of pore throat to grain size, so two sands of equal porosity can differ by orders of magnitude.
• Theory 34 · River Resistance Is Roughness Against Depth
  Flow resistance in a river is set by the ratio of bed roughness to flow depth, so a shallow river is far rougher than a deep one with the same bed.
• Theory 40 · Movement Starts at a Shields Threshold
  Sediment begins to move above a threshold in the ratio of bed shear to particle submerged weight, so the critical velocity depends on grain density.
• Theory 38 · Hammer Is a Wave Timing Ratio
  Water hammer pressure is set by the ratio of valve closure time to wave travel time, so a slow closure avoids the surge a fast one produces.

Engineering & infrastructure

• Theory 66 · Cavitation Is Suction Against Vapour
  Cavitation begins when the ratio of local suction head to vapour pressure head falls below one, so a turbine can cavitate at one operating point and not another.
• Theory 65 · Tower Performance Is Approach
  Cooling tower performance is set by the ratio of approach to range, so a tower asked for a small approach must be disproportionately large.
• Theory 63 · Seepage Is Gradient Against Grout
  Seepage under a dam is set by the ratio of hydraulic gradient to the effectiveness of the cutoff, so a deep cutoff reduces flow more than wide grouting.
• Theory 69 · Detention Is Storage Against Inflow
  Peak flow attenuation is set by the ratio of detention storage to inflow volume, so a small basin reduces peaks only for small storms.
• Theory 68 · Disinfection Is Contact Against Demand
  Disinfection effectiveness is set by the ratio of contact time to chlorine demand, so a turbid water consumes the disinfectant before it can act.
• Theory 67 · Efficiency Is Applied Against Used
  Irrigation efficiency is set by the ratio of water applied to water transpired, so furrow and drip systems differ by the fraction lost to evaporation and deep percolation.
• Theory 64 · Fouling Is Flux Against Crossflow
  Membrane fouling rate is set by the ratio of permeate flux to crossflow velocity, so operating at high flux fouls a membrane faster than the same volume at low flux.
• Theory 70 · Resilience Is Redundancy Against Demand
  The reliability of a water distribution network is set by the ratio of redundant capacity to peak demand, so a looped network survives a main failure that a branched one cannot.
• Theory 61 · Roughness Grows on a Balance
  Pipe roughness growth is set by the ratio of deposition to scour, so a pipe carrying clean water at high velocity stays smooth while a slow one tuberculates.
• Theory 62 · Efficiency Peaks at the Design Point
  Pump efficiency is set by the ratio of operating flow to best-efficiency flow, so throttling a pump costs more than running a smaller one.

Phase & ice

• Theory 14 · Clathrates Need a Guest Fit
  A clathrate forms only when the ratio of guest molecular size to cage size falls within a window, so gases too small or too large do not stabilise the structure.
• Theory 20 · Activation Is Supersaturation Against CCN
  Cloud droplet activation is set by the ratio of supersaturation to cloud condensation nuclei concentration, so polluted clouds have more, smaller droplets.
• Theory 15 · Heave Is Freezing Against Supply
  Frost heave magnitude is set by the ratio of freezing rate to water supply rate, so slow freezing with ample water lifts more than fast freezing.
• Theory 16 · Sliding Is Melt Against Roughness
  Glacier sliding speed is set by the ratio of basal meltwater production to bed roughness, so a smooth bed with meltwater slides fastest.
• Theory 19 · Hailstone Size Is Updraft Against Fall
  Maximum hailstone size is set by the ratio of updraft speed to terminal fall speed, so a stone grows only while it is held aloft.
• Theory 13 · Ice Sticks Through a Liquid Film
  Ice adhesion strength is set by the ratio of premelted film thickness to surface roughness, so a surface that suppresses premelting sheds ice.
• Theory 18 · Skating Is Melt Against Refreeze
  Friction on ice is set by the ratio of frictional melting to refreezing, so the low friction depends on a film that persists rather than on pressure alone.
• Theory 11 · Nucleation Is Surface Against Bulk
  Ice nucleation rate is set by the ratio of interfacial free energy to bulk free-energy difference, so supercooling must reach a threshold before freezing is probable.
• Theory 12 · Habit Is Diffusion Against Kinetics
  Snow crystal habit is set by the ratio of vapour diffusion rate to surface attachment kinetics, which changes with temperature and produces plates at one range and needles at another.
• Theory 17 · The Second Transition Is a Fluctuation Ratio
  The proposed liquid-liquid transition in supercooled water appears when the ratio of density fluctuation to correlation length exceeds a threshold, which is why it is hard to observe.

Solvation & interfaces

• Theory 27 · Stability Is Repulsion Against Attraction
  Whether a colloid stays dispersed is set by the ratio of electrostatic repulsion to van der Waals attraction, so a small change in ionic strength can flocculate a stable suspension.
• Theory 24 · Hysteresis Is Pinning Against Volume
  Contact angle hysteresis is set by the ratio of pinning energy to droplet volume, so small droplets are more strongly pinned.
• Theory 29 · Emulsion Stability Is Film Against Shear
  Emulsion stability is set by the ratio of interfacial film strength to applied shear, so the same emulsion separates in one process and not another.
• Theory 28 · Foam Life Is Elasticity Against Drainage
  Foam persistence is set by the ratio of surface elasticity to drainage rate, so a film that resists stretching lasts while a rigid one drains and ruptures.
• Theory 21 · The Series Is Ion Size Against Structure
  The Hofmeister ordering of ions is set by the ratio of ion size to the water structure it perturbs, so small kosmotropes order water while large chaotropes disrupt it.
• Theory 26 · Hydration Layer Is Charge Against Salt
  The thickness of a protein's hydration layer is set by the ratio of surface charge to ionic strength, so added salt collapses it.
• Theory 30 · Swelling Is Osmosis Against Elasticity
  Hydrogel swelling is set by the ratio of osmotic pressure to elastic modulus, so a stiff gel holds less water at the same ionic environment.
• Theory 25 · Permeability Is Solute Against Pore
  Membrane water permeability is set by the ratio of solute size to pore radius, so a pore that passes water can still exclude small ions.
• Theory 22 · Salt Raises Tension by Depletion
  The surface tension of an electrolyte rises with the ratio of ion depletion at the interface to bulk concentration, because ions are excluded from the surface layer.
• Theory 23 · Wetting Is Adhesion Against Cohesion
  Whether a liquid wets a surface is set by the ratio of adhesive to cohesive forces, which is why surfactant addition changes wetting without changing the solid.

Molecular & anomalous

• Theory 01 · The Density Maximum Is a Lifetime Ratio
  The temperature of water's density maximum is set by the ratio of hydrogen-bond lifetime to collision rate, so the anomaly shifts when that ratio is changed by pressure or solutes.
• Theory 02 · Hydrophobicity Is Cavity Against Tension
  The strength of the hydrophobic interaction is set by the ratio of cavity volume to interfacial tension, so small solutes pair more strongly per unit area than large ones.
• Theory 07 · Ice Floats Because Order Costs Density
  Water expands on freezing because the ratio of open tetrahedral order to close packing in the solid exceeds that in the liquid, so the crystal is less dense than the melt.
• Theory 05 · Dielectric Drop Is a Field Ratio
  The dielectric constant at an interface falls over a thickness set by the ratio of local field to hydrogen-bond reorganisation energy, so the low-permittivity layer is a few molecules thick.
• Theory 09 · Heavy Water Is Slower by Zero Point
  Isotope effects on water's properties scale with the ratio of zero-point energy difference to bond strength, so D₂O behaves like cold H₂O.
• Theory 03 · Protons Move Faster Than Diffusion
  Proton mobility exceeds ordinary diffusion because the ratio of Grotthuss hopping rate to molecular reorientation rate is large, so protons move through the network rather than with it.
• Theory 06 · Solubility Is Hydration Against Lattice
  Whether a salt dissolves is set by the ratio of hydration free energy to lattice energy, so salts with similar lattice energies dissolve very differently.
• Theory 10 · Supercooling Is Entropy Against Relaxation
  Supercooled water's anomalous slowdown is set by the ratio of configurational entropy to relaxation time, so viscosity diverges where entropy becomes small.
• Theory 04 · Heat Capacity Is a Two-State Balance
  Water's anomalous heat capacity is set by the ratio of low-density to high-density populations, so the peak occurs where the populations are most sensitive to temperature.
• Theory 08 · Viscosity Dips Where Cages Collapse
  Water's viscosity minimum with pressure is set by the ratio of cage collapse to bond breaking, so viscosity falls before it rises as pressure increases.

Society & governance

• Theory 89 · Scarcity Is Withdrawal Against Availability
  Water scarcity is set by the ratio of withdrawal to renewable availability, and the thresholds used to define stress are policy choices rather than physical ones.
• Theory 85 · Storage Is Variability Against Demand
  The storage needed to secure supply is set by the ratio of inflow variability to demand, so a variable river needs far more storage than its mean flow suggests.

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.