Incoprea Research

Original Theories Volume XXXIII · science index

22 retained entries from the original 29. Original entry numbers are preserved. These are working hypotheses, not findings or proofs.

Measurement & inference

• Number 20 · The Attribution Ceiling
  The ratio of intervention magnitude to natural variability in the outcome. It sets an upper bound on the share of variance attributable to the intervention, however sophisticated the method.
• Number 23 · The Detection Lag
  The ratio of recorded to actual change in a monitored quantity, and its complement, as a function of monitoring effort and method drift.
• Number 21 · The Scale Band Width
  The ratio of scales over which a theory retains most of its predictive accuracy before errors exceed a stated tolerance.
• Number 22 · The Smoothing Fraction
  The ratio of event size to antecedent storage capacity. Below one, an event is absorbed and produces no response; above it, the response scales with the excess.
• Number 26 · The Tail Omission Factor
  The ratio of the true maximum of a distribution to the maximum observed in a record of given length, as a function of tail heaviness.

Networks & contagion

• Number 07 · The Clustering Ratio
  The ratio of local clustering coefficient to mean degree in a contact network. Above a threshold, outbreaks are smaller than the same reproduction number would predict in a well-mixed population.
• Number 11 · The Composition Share
  The fraction of an aggregate change attributable to shifts in the mix of units rather than to change within units.
• Number 08 · The Displacement Ratio
  The ratio of pressure moved elsewhere to pressure removed at the intervention site. A value near one means the intervention relocated the problem rather than solving it.
• Number 10 · The Queue Sensitivity
  The derivative of waiting time with respect to utilisation, evaluated near capacity. It measures how sharply delay explodes as a system fills.

Failure & fragility

• Number 06 · The Depletion Depth
  The fraction of a stored buffer consumed before extraction or service costs begin to rise sharply. It is the fraction that is genuinely usable rather than nominally present.
• Number 04 · The Frontier Curvature
  The second derivative of the efficiency-redundancy cost frontier, normalised by its slope. It measures how sharply the marginal price of redundancy rises.
• Number 05 · The Interface Fraction
  The fraction of system failures occurring at boundaries between components rather than inside components.
• Number 02 · The Maintenance Ratio
  The ratio of degradation rate to repair capacity, measured in the same units. Near one, condition hovers and failure is governed by variance; far from one, the system either fails fast or ages negligibly.
• Number 01 · The Mismatch Ratio
  The ratio of a system's response time constant to the timescale of its dominant driver. Where it exceeds one, lag accumulates into debt; where it approaches ten, correction becomes abrupt.
• Number 03 · The Resolution Ratio
  The ratio of the process's characteristic scale to the observer's measurement resolution. Error introduced by management is predicted to scale inversely with it.

Life & ecology

• Number 15 · The Extinction Debt Half-Life
  The time for half of the committed but unrealised extinctions following habitat loss to become realised.
• Number 14 · The Overdiagnosis Fraction
  The fraction of screen-detected cases that would never have caused symptoms in the patient's lifetime.
• Number 16 · The Range-Abundance Lead
  The interval between detectable range contraction and detectable abundance decline in a declining species.
• Number 17 · The Saturation Ratio
  The ratio of added to native nutrient supply at which the growth response to further addition halves.
• Number 13 · The Selection Ratio
  The ratio of the published effect to the expected replication effect, as a function of the original study's statistical power.
• Number 18 · The Thermal Sensitivity Gap
  The difference in temperature sensitivity between decomposition and production, expressed as the difference in their Q10 values.
• Number 12 · The Variance Transfer
  The ratio of between-group variance to total variance in a trait under multi-level selection. It measures how much of the lower-level variance is available to selection above.

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.