Incoprea Theory
Volume XVII · 30 October 2026

Thirteen disciplines · three claims each · not peer reviewed

Thirty-nine theories from engineering

Thirteen engineering disciplines, three claims each. The sciences got most of the earlier volumes; this one goes to the disciplines that build things, where failure is measured in structures rather than in statistics.

39theories
13disciplines
78predictions
39refutations

Coastal Engineering

3
01

Nourishment Lifespan Is a Grain Ratio

Beach nourishment longevity is set by the ratio of fill grain size to native sediment size rather than by fill volume, so a larger volume of fine sand can disappear faster than a smaller volume of coarse sand.

02

Surge Damage Is a Height Ratio

Storm surge damage to a coastal barrier is set by the ratio of surge height to dune crest height rather than by surge height alone.

03

Erosion Follows a Transport Gradient

Shoreline erosion accelerates where the alongshore sediment transport gradient exceeds a threshold, so a uniform coast erodes uniformly while a gradient concentrates loss.

Earthquake Engineering

3
04

Damage Is a Period Ratio

Building damage in an earthquake is set by the ratio of the building's period to the site's period rather than by peak ground acceleration.

05

Liquefaction Is a Cyclic Ratio

Liquefaction triggering is set by the ratio of cyclic stress to effective confining stress rather than by the number of cycles.

06

Aftershocks Test Repair Capacity

Damage from an aftershock sequence is set by the ratio of residual capacity to aftershock demand, so buildings that survive the mainshock can fail in the aftershock if their capacity was consumed.

Fire Safety Engineering

3
07

Flashover Is a Heat-to-Ventilation Ratio

Time to flashover is set by the ratio of heat release rate to the ventilation factor rather than by the fuel load.

08

Facade Fire Is a Cavity Ratio

Vertical fire spread in a ventilated facade is set by the ratio of cavity width to flame height, so a narrow cavity can propagate faster than a wide one.

09

Evacuation Is a Width Ratio

Evacuation time is set by the ratio of occupant load to exit width rather than by travel distance, so a compact building with narrow exits can be slower to clear than an extended one with wide exits.

Geotechnical Engineering

3
10

Slope Failure Is a Rainfall Ratio

The timing of slope failure is set by the ratio of rainfall intensity to permeability rather than by rainfall total, so a short intense storm can trigger where a long gentle one does not.

11

Pile Capacity Is a Socket Ratio

Capacity of a rock-socketed pile is set by the ratio of socket length to diameter rather than by socket length alone.

12

Settlement Depends on Construction Speed

Differential settlement is set by the ratio of consolidation time to construction time, so the same structure on the same soil behaves differently if built faster.

Structural Health Monitoring

3
13

Detection Is a Mode-to-Noise Ratio

The smallest detectable damage is set by the ratio of the mode-shape change produced to the measurement noise, not by sensor density.

14

Sensors Follow Strain Energy

Sensor placement efficiency is set by the ratio of modal strain energy captured to the number of sensors, so placing all sensors in one region wastes the budget.

15

Life Depends on the Spectrum Ratio

Remaining fatigue life is set by the ratio of measured stress range to design stress range raised to the fatigue exponent, so modest exceedances consume life disproportionately.

Pipeline Engineering

3
16

Corrosion Is a Protection Ratio

External pipeline corrosion occurs where the ratio of cathodic protection current to coating defect area falls below a threshold, so a well-protected pipe can corrode at a small defect.

17

Slugging Is a Velocity Ratio

Severe slugging in a multiphase pipeline begins when the ratio of gas to liquid superficial velocity crosses a threshold, not when liquid holdup alone is high.

18

Leaks Hide in Noise

The smallest detectable leak is set by the ratio of leak signal to flow-induced noise, not by sensor sensitivity, so a quiet sensor on a noisy line detects less.

Nuclear Safety Engineering

3
19

Core Damage Is a Heat Ratio

Core damage probability is set by the ratio of decay heat to residual cooling capacity rather than by the initiating event, so small events can be severe on degraded cooling.

20

Containment Is a Vent Ratio

Containment failure is set by the ratio of pressure rise rate to vent capacity, so a containment with more venting can tolerate a larger release.

21

Operator Error Is a Time Ratio

Human error probability in an accident is set by the ratio of time available to time required for the response, not by operator training alone.

Railway Engineering

3
22

Track Buckling Is a Temperature Ratio

Continuous welded rail buckles when the ratio of temperature rise to lateral resistance exceeds a threshold, so a cooler day can buckle a track with poor restraint.

23

Wear Is a Creep Ratio

Wheel-rail wear rate is set by the ratio of creep force to the adhesion limit, so wear accelerates sharply where the ratio approaches one.

24

Headway Is a Braking Ratio

Minimum headway is set by the ratio of braking distance to block length rather than by line speed, so a slower line with long blocks can have lower capacity.

Offshore & Marine Engineering

3
25

Mooring Fatigue Is a Period Ratio

Mooring line fatigue is set by the ratio of wave period to the line's natural period rather than by wave height, so a moderate sea near resonance can do more damage than a storm off it.

26

Slamming Is a Deadrise Ratio

Slamming pressure on a hull is set by the ratio of impact velocity to the deadrise angle rather than by velocity alone.

27

Riser Vibration Locks On

Vortex-induced vibration of a riser becomes large when the ratio of shedding frequency to natural frequency approaches one, so current speed matters only through that ratio.

Water Resources Engineering

3
28

Reservoir Life Is a Trap Ratio

Reservoir storage loss is set by the ratio of sediment trap efficiency to storage volume, so a small reservoir with high trap efficiency loses its life faster than a large one.

29

Spillway Safety Is a Flood Ratio

Dam safety is set by the ratio of spillway capacity to probable maximum flood, not by the return period used in design.

30

Aquifer Sustainability Is a Ratio

Aquifer sustainability is set by the ratio of recharge to abstraction rather than by abstraction volume, so a large abstraction in a high-recharge basin is safer than a small one in a low-recharge basin.

Telecommunications Engineering

3
31

Link Margin Is an Allocation

Link reliability is set by how the total margin is distributed across fading and interference rather than by the total margin, so two links with equal budgets can differ in outage.

32

Spectrum Sharing Is a Tolerance Ratio

Whether two services can share a band is set by the ratio of the incumbent's interference tolerance to the entrant's power, not by the entrant's power alone.

33

Holdover Is a Drift Ratio

Network holdover performance is set by the ratio of oscillator drift rate to the permissible time error, so a better oscillator buys holdover in proportion to the specification.

Aerospace Structures

3
34

Panel Buckling Is a Thickness Ratio

Stiffened panel buckling is set by the ratio of skin thickness to stiffener spacing rather than by skin thickness alone.

35

Fatigue Follows Spectrum Severity

Fatigue life under variable amplitude loading is set by the ratio of spectrum severity to the design spectrum rather than by the number of cycles.

36

Flutter Is a Speed Ratio

Flutter onset is set by the ratio of flutter speed to dive speed, so a design with a small margin is sensitive to small stiffness changes.

Building Physics

3
37

Thermal Bridging Is an Area Ratio

Heat loss through thermal bridges is set by the ratio of bridge area to envelope area, so a small poorly insulated detail can dominate a well-insulated envelope.

38

Moisture Risk Is a Vapour Ratio

Interstitial condensation risk is set by the ratio of vapour resistance on the cold side to drying capacity, not by indoor humidity alone.

39

Privacy Is a Mass Ratio

Acoustic privacy between dwellings is set by the ratio of partition mass to background noise level rather than by partition mass alone.

Why sort by mechanism

A field-by-field catalogue tells you what each discipline thinks. A mechanism-by-mechanism catalogue tells you what kind of argument a discipline is making, and lets you check whether the same argument holds somewhere else. Each family here is a distinct causal shape; the eleven instances test whether it generalises.

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

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

Original builder source downloads (not executed)