Incoprea Research

Original Theories Volume XIX · science index

46 retained entries from the original 50. Original entry numbers are preserved. These are working hypotheses, not findings or proofs.

Ultrafast

• Theory 03 · Ablation Needs Coupling Time
  The ablation threshold in metals is set by the ratio of pulse length to electron-phonon coupling time, so shorter pulses ablate at lower fluence.
• Theory 02 · Coherence Lasts a Vibration
  Electronic coherence in molecules survives only while the ratio of vibrational period to electronic decay time is large, so coherence is lost when nuclear motion outpaces the electronic dephasing.
• Theory 05 · Demagnetisation Is Spin Against Lattice
  Ultrafast demagnetisation rate is set by the ratio of spin-lattice relaxation time to pulse duration, not by pulse energy.
• Theory 04 · Efficiency Is Lifetime Against Reaction
  Photocatalytic efficiency is set by the ratio of carrier lifetime to surface reaction time, so a fast reaction on a short-lived carrier beats a slow reaction on a long-lived one only above the ratio.
• Theory 01 · Damage Is Pulse Against Diffusion
  Photodamage in ultrafast imaging is set by the ratio of pulse duration to thermal diffusion time, not by deposited energy, so the same energy can be safe or destructive depending on pulse length.

Seconds to Minutes

• Theory 13 · Pressure Stability Needs a Fast Reflex
  Blood pressure stability is set by the ratio of baroreflex delay to the period of pressure oscillation, so a delayed reflex can amplify rather than damp an oscillation.
• Theory 11 · Turnover Is Encounter Against Chemistry
  Enzyme turnover rate is set by the ratio of substrate encounter time to catalytic time, so a fast catalyst in a dilute solution is limited by diffusion rather than by chemistry.
• Theory 15 · Control Needs a Fast Enzyme
  Metabolic flux control is set by the ratio of enzyme response time to the timescale of flux change, so a slow allosteric response cannot regulate a fast flux.
• Theory 12 · Force Needs Activation Before Contraction
  Peak muscle force is achieved only when the ratio of activation time to contraction time falls below a threshold, so fast movements never reach full force.
• Theory 14 · Runaway Is Removal Against Heat
  Thermal runaway occurs when the ratio of heat generation rate to heat removal rate exceeds one at the operating point, not when the temperature is high.

Weeks to Months

• Theory 21 · Healing Needs Callus Before Load
  Bone healing succeeds only if the ratio of callus formation time to loading onset is below a threshold, so early loading before callus is established prevents union.
• Theory 23 · Practice Interval Is Against Forgetting
  The optimal interval between practice sessions is set by the ratio of consolidation time to forgetting rate, so faster forgetting calls for shorter intervals than fixed schedules allow.
• Theory 25 · Recovery Is Regrowth Against Return
  Coral recovery after bleaching is set by the ratio of symbiont regrowth time to the interval before the next heat event, so reefs with short return intervals never recover.
• Theory 22 · Dormancy Is Growth Against Clearance
  The duration of tumour dormancy is set by the ratio of angiogenic switching rate to immune clearance rate, so a micrometastasis can persist for years without either winning.
• Theory 24 · Response Is Maturation Against Exposure
  Vaccine efficacy is set by the ratio of germinal centre maturation time to the interval before exposure, so a compressed schedule leaves affinity immature.

Millennia

• Theory 42 · Carbonate Compensation Is Mixing Against Dissolution
  The depth at which carbonate dissolves is set by the ratio of ocean mixing time to dissolution rate, so slow mixing pushes the horizon deeper.
• Theory 44 · Forest Loss Is Clearance Against Regrowth
  Long-run forest cover is set by the ratio of clearance rate to regrowth rate, so a landscape cleared slowly can retain forest while one cleared quickly cannot.
• Theory 45 · Permafrost Carbon Is Thaw Against Decay
  Carbon release from thawing permafrost is set by the ratio of thaw rate to decomposition rate, so fast thaw releases carbon that slow thaw would have stored.
• Theory 43 · Growth Is a Birth-Death Interval
  Long-run population growth rate is set by the ratio of birth interval to death interval rather than by either alone, so a society with late births and long lives can grow or shrink depending on the ratio.
• Theory 41 · Sea Level Lags Its Forcing
  Sea level rise is set by the ratio of ice sheet response time to the duration of forcing, so a short warm period produces less rise than its temperature implies.

Micro to Milli

• Theory 09 · Gating Is Activation Against Membrane
  Whether an ion channel shapes the membrane response is set by the ratio of its activation time to the membrane time constant, so a slow channel is invisible to fast events.
• Theory 10 · Bubbles Answer Their Resonance
  Microbubble response to ultrasound is set by the ratio of driving period to bubble resonance period, so equal pressure produces very different oscillation across bubble sizes.
• Theory 07 · Motors Pay for Load Noise
  The efficiency of a molecular motor is set by the ratio of stepping rate to load fluctuation frequency, so a fluctuating load costs more than a steady one of the same mean.
• Theory 08 · Plasticity Depends on Calcium Timing
  Whether a synapse strengthens or weakens is set by the ratio of calcium decay time to the interval between spikes, not by the number of spikes.
• Theory 06 · Spike Precision Is a Time Ratio
  The precision of spike timing is set by the ratio of membrane time constant to input jitter, so a neuron with a long time constant cannot encode fine timing regardless of input.

Hours to Days

• Theory 16 · Dosing Is Half-Life Against Interval
  Whether a dosing regimen maintains therapeutic levels is set by the ratio of half-life to dosing interval, so the same dose can accumulate or fail depending on that ratio.
• Theory 17 · Entrainment Is a Period Ratio
  Circadian entrainment occurs over a limited range of the ratio between zeitgeber period and free-running period, so a weak cue can entrain if the periods are close.
• Theory 20 · Fever Timing Is Clearance Against Activation
  The shape of a fever curve is set by the ratio of pyrogen clearance to immune activation time, so the same peak can be reached quickly or slowly with different clinical meaning.
• Theory 18 · Inflammation Must Hand Over
  Wound inflammation resolves only if the ratio of neutrophil to macrophage arrival time is within a window, so either an early or a late macrophage wave prolongs inflammation.
• Theory 19 · Sleep Pressure Is Build Against Clearance
  Sleep pressure is set by the ratio of wake duration to clearance rate rather than by wake duration alone, so individuals differ in how fast they accumulate debt.

Deep Time

• Theory 46 · Evolution Is Mutation Against Selection
  The rate of adaptive evolution is set by the ratio of mutation supply to selection strength, so a large population with weak selection can evolve as fast as a small one with strong selection.
• Theory 47 · Oxygen Is Production Against Burial
  Atmospheric oxygen level is set by the ratio of organic carbon burial to oxygen consumption by weathering and volcanism, so a small change in burial shifts the level substantially.
• Theory 48 · Recovery Is Speciation Against Return
  Recovery time after a mass extinction is set by the ratio of speciation rate to the interval between disturbances, so repeated events prevent recovery entirely.
• Theory 49 · Stars Balance Fusion and Gravity
  A star's main-sequence lifetime is set by the ratio of its fuel mass to its fusion rate, which scales steeply with mass, so massive stars die young despite having more fuel.
• Theory 50 · Structure Is Collapse Against Expansion
  The largest bound structures are set by the ratio of gravitational collapse time to the age of the universe, so structures larger than a threshold have not had time to form.

Seasons to Years

• Theory 29 · Collapse Is Generation Against Harvest
  Fishery collapse occurs when the ratio of generation time to harvest rate falls below a threshold, so a slow-growing stock collapses at a lower harvest than a fast-growing one.
• Theory 30 · Turnover Is Mixing Against Cooling
  The timing of lake turnover is set by the ratio of wind event frequency to cooling rate, so a windy autumn mixes a lake before it would turn over by cooling alone.
• Theory 26 · Mismatch Is a Rate Difference
  Phenological mismatch between species is set by the ratio of their cue response rates to the rate of climate change, so species with similar cues stay matched even as both shift.
• Theory 27 · Recharge Needs Storm Frequency
  Annual groundwater recharge is set by the ratio of storm frequency to evapotranspiration demand rather than by total rainfall.
• Theory 28 · Seasonality Is Waning Against Transmission
  Whether a disease is seasonal is set by the ratio of immunity waning time to the transmission season length, so fast waning produces year-round circulation at the same transmissibility.

Centuries

• Theory 36 · Composition Is Disturbance Against Generation
  Forest species composition is set by the ratio of disturbance interval to generation time, so a species with a long generation persists only where disturbance is rarer than its maturation.
• Theory 39 · Glacier Response Is Thickness Against Balance
  A glacier's response time to climate is set by the ratio of ice thickness to the rate of mass balance change, so thick glaciers respond over centuries while thin ones respond in decades.
• Theory 40 · Ranges Track Climate Velocity
  Whether a species keeps pace with climate is set by the ratio of dispersal rate to climate velocity, so a fast climate with slow dispersal leaves a lag that grows into extinction debt.

Decades

• Theory 31 · Infrastructure Ages on a Ratio
  Infrastructure condition is set by the ratio of maintenance interval to degradation rate rather than by age, so two assets of the same age can differ by decades in remaining life.
• Theory 35 · Resistance Spreads on a Generation Ratio
  The population-level spread of resistance is set by the ratio of bacterial generation time to the rate of change in prescribing, so fast-changing practice outruns resistance even at high use.
• Theory 32 · Soil Carbon Follows Residence Time
  The response of soil carbon to a change in inputs is set by the ratio of observation window to carbon residence time, so a decade of measurement cannot detect a change in a slow pool.

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.