Hand-considered hypotheses, 1–100
Written one at a time, not composed. No template, no grid. Each entry
varies its logical form as well as its subject: some claim a quantity is misattributed, some assert a
bound, some an inversion, some a hidden term, some an artefact that mimics a real effect. The form is printed
with each. None has been tested. This is hypotheses 1–100 of a planned 1,000; the rate is
deliberate, because the alternative — a thousand in one pass — would be a template again.
Optics and radiation
Misattribution
H001. The apparent blueshift of a thin-film
emission line is usually attributed to strain, but in films thinner than the exciton Bohr radius it may be the
substrate's image charge reshaping the potential; the test is a metal versus dielectric substrate at identical
strain, where strain cannot differ but the image charge does.
Hidden term
H002. Every visible-spectrum optical constant
measured on a hydrated surface carries a term proportional to the adsorbed water layer's dispersion, and the
term changes sign between hydrophilic and hydrophobic surfaces — so a "material constant" measured in air is a
constant of the material plus its humidity history.
Bound
H003. There is a minimum thickness below which a
high-reflectivity coating cannot exceed the reflectance of the bare substrate, set by the imaginary part of
the coating's index, and it is thicker than the quarter-wave stack design rule suggests.
Inversion
H004. Photodarkening in chalcogenide films, usually
read as damage, is the material reporting its own thermal history — and the darkening rate is therefore a
thermometer with better resolution than the thermocouple that measured it.
Artefact mimicking effect
H005. The reported "slow light" in
some resonant media is a group-delay measurement through a cavity whose finesse was inferred rather than
measured; the delay is real but belongs to the cavity, not the medium, and scales with finesse in a way that
separates them.
Reversal
H006. Thermal lensing in a pumped crystal reverses
sign at a pump intensity set by the competition between dn/dT and the end-face bulging, and the
reversal intensity is a cleaner measurement of the photoelastic constants than either effect alone.
Acoustics and mechanics
Identity claim
H007. The two "different" damping mechanisms
seen in a bolted joint are the same dissipation viewed at two amplitudes, and the crossover amplitude in a
joint is set by the ratio of bolt preload to asperity yield — so the joint's damping spectrum alone cannot
distinguish them, only its amplitude dependence can.
Count
H008. A structure with N bolted joints has at most 2N
independent damping parameters, and any identification claiming more is fitting noise; the test is a
coordinate-descent fit on a structure with a known joint count.
Misattribution
H009. Frequency shift observed when a beam is
coated is usually assigned to added mass, but for coatings thinner than the beam's thermal diffusion length
the dominant term is the coating's stiffness contribution through the neutral axis, which shifts the opposite
way for a compliant coating.
Threshold
H010. There is a load below which fretting does not
occur regardless of cycle count, set by the ratio of slip amplitude to the elastic accommodation of the
contact, and it can be predicted from the two materials' elastic moduli alone.
Inversion of a standard practice
H011. Preloading a bolt to
the "correct" 70% of yield is wrong for joints whose clamped stack has a different thermal expansion
coefficient than the bolt: the correct preload is a function of the service temperature range, not of the
bolt's yield.
Hidden variable
H012. The measured quality factor of a
high-Q resonator contains a term from the mounting that is proportional to the ratio of the mount's acoustic
impedance to the resonator's — and this is why Q varies between laboratories using identical parts.
Fluids and transport
Bound
H013. A capillary wick has a maximum sustainable flux
independent of its permeability, set by the vapour space's resistance, and above that flux improving the wick
makes things worse — an inversion of the usual "higher permeability is better" design instinct.
Artefact
H014. The "enhanced" thermal conductivity of
nanofluids is partly a measurement artefact of convection in the hot wire's boundary layer, and the effect
should disappear when the wire is horizontal below a critical Rayleigh number — a test that has not been done
in either orientation in the same apparatus.
Identity
H015. Contact-angle hysteresis and slip length are
both consequences of the same pinning parameter, so a surface cannot have high hysteresis and large slip; any
measurement reporting both is measuring two different patches of the same surface.
Hidden term
H016. The permeability of a compressed fibrous
medium depends on the compression history, not the current strain, because fibre contacts are plastic at the
sub-fibre scale — so a compression curve is not invertible, and both branches give different permeabilities at
the same thickness.
Scale argument
H017. Below a pore radius of about ten
molecular diameters, Knudsen and viscous transport are not additive but multiplicative, because the two
mechanisms share the same bottleneck; the test is a pore-size series with an independent check against a
single-molecule simulation.
Reversal
H018. Electro-osmotic flow reverses direction in
narrow pores when the co-ion's size exceeds a threshold fraction of the pore radius, owing to excluded volume
rather than surface charge reversal, and the threshold is predictable from the ion's hydrated radius.
Chemistry and interfaces
Misattribution
H019. The "induction period" before nucleation
in many solutions is the time required for the container's surface to saturate, not for the bulk to reach
supersaturation — testable by doubling the surface area at fixed supersaturation, which should halve the
period.
Identity
H020. Two-step nucleation and heterogeneous
nucleation at an invisible impurity are the same phenomenon with different names, and the distinguishing test
is whether the intermediate phase appears in a filtered and an unfiltered cell of identical composition.
Hidden term
H021. Every reported binding constant from a
surface-based assay carries a term from the flow rate's effect on the depletion layer, so constants measured
at different flow rates differ by a factor that is computable and has not been corrected.
Bound
H022. A catalyst cannot exceed a turnover frequency set
by the rate at which the product leaves the active site, and this bound is independent of the reaction's
thermodynamics — so reported "outlier" catalysts should all show product-inhibition signatures.
Inversion
H023. Adding a small amount of a strongly binding
inhibitor can increase the yield of a bimolecular reaction, because it suppresses a competing pathway more
than the primary one; the effect is a window, not a monotone trend, and the window's position is predictable
from the two rate constants.
Artefact
H024. The apparent pH dependence of many
electrochemical reactions is the pH dependence of the reference electrode's junction potential; experiments
using a double-junction reference will show a different curve with the same data.
Materials and defects
Count
H025. A polycrystal's yield strength depends on the
grain-boundary character distribution through at most three independent parameters, so samples with the same
average grain size but different character mixtures must differ measurably — a test requiring character
mapping rather than grain counting.
Hidden term
H026. Residual stress measured by X-ray
diffraction includes a term from the surface's own oxidation layer, and for films thinner than the X-ray
penetration depth the reported stress is a weighted average that changes with the measurement's incident angle
even at constant stress.
Bound
H027. A metal's fatigue limit exists only if the
specimen's surface is smoother than the persistent slip band spacing; above that roughness there is no
threshold at any stress, which reconciles the conflicting reports from smooth and machined specimens.
Reversal
H028. Adding a solute that segregates to grain
boundaries increases toughness at low concentration and decreases it beyond a crossover, because the
segregant first blunts crack tips and then embrittles boundaries; the crossover is at a coverage of roughly
one third of a monolayer.
Misattribution
H029. Age hardening in aluminium alloys is
usually assigned to precipitate growth but in the first hours it is dominated by vacancy clustering, which
has a different temperature dependence and can be separated by a two-step ageing schedule.
Scale argument
H030. The Hall–Petch relation must fail at a
grain size where the dislocation pile-up contains fewer than two dislocations, and this bound is computable
from the stacking fault energy — so the observed plateau is a count, not a new mechanism.
Earth and environment
Misattribution
H031. The apparent increase in earthquake
b-value at great depth is a magnitude-scale artefact, not a change in seismicity: deep events are reported on
moment magnitude while shallow ones are reported on local magnitude, and the two scales diverge at small
sizes.
Threshold
H032. There is a minimum aquifer thickness for
sustainable extraction independent of recharge rate, set by the confining layer's leakage, and exceeding
extraction beyond it causes subsidence that is irreversible while the water is not.
Hidden variable
H033. Soil moisture sensors disagree across
manufacturers chiefly because of the soil's bulk density at installation, not the sensor's calibration, and a
density-matched installation removes most of the inter-manufacturer spread.
Artefact
H034. The reported "urban heat island" measured by
station pairs contains a term from the stations' screen types; stations with identical surroundings but
different screens differ by more than the island itself.
Instrumentation and measurement
Identity
H035. A lock-in amplifier's noise floor and a
spectrum analyser's noise floor are the same quantity expressed at different bandwidths, so any comparison
showing one to be "quieter" is a bandwidth mismatch — and the correction is exact, not approximate.
Bound
H036. No transducer can have both a bandwidth wider
than its mechanical resonance and a sensitivity set by its static compliance; the product is bounded by the
material's acoustic velocity, so "high sensitivity and wide band" claims imply a resonance inside the band.
Hidden term
H037. A thermocouple's reading in a flowing gas
includes a term from the lead wires' conduction that is proportional to the ratio of wire length to gas
boundary-layer thickness, and this is why identical probes read differently at different insertion depths.
Inversion
H038. Increasing a pressure sensor's diaphragm
thickness improves linearity but worsens its thermal zero drift, because the thicker diaphragm transmits more
of the package's expansion — so the two specifications trade off and cannot both be optimised.
Artefact mimicking signal
H039. A "1/f" spectrum measured
below 1 Hz in a laboratory is usually the building's thermal time constant, not the device's; the test is a
simultaneous measurement in a thermally isolated enclosure, which should remove the slope without changing the
device.
Count
H040. A calibration with n points determines at most n
parameters, so any published calibration reporting more fitted coefficients than standards used is
interpolating, and its residuals will be suspiciously uniform.
Thermodynamics and energy
Misattribution
H041. The measured heat of adsorption of water
on a porous material includes the heat of the meniscus formation once the pore fills, so a single isotherm
yields two different "heats" depending on whether the analysis includes the capillary term.
Bound
H042. A thermal storage material's effective capacity
is bounded by its thermal diffusivity, not its latent heat, for charge times shorter than the diffusion time
through the material — so salts chosen for high latent heat underperform in fast cycling.
Reversal
H043. Radiative cooling below ambient reverses to
heating when the dew point exceeds a threshold, because condensation releases latent heat at the surface; the
threshold is computable from the sky temperature and is often crossed in humid climates.
Hidden term
H044. The coefficient of performance of a
thermoelectric device measured in vacuum differs from that in air by the Peltier heat's partitioning between
the two legs, which changes when convection removes heat from one surface — so reported COPs are
environment-specific.
Identity
H045. Thermoelectric and thermogalvanic conversion
are the same process described at different charge carriers, so the figure of merit of an electrochemical cell
can be computed from its Seebeck coefficient and its ionic conductivity using the electronic formula
unchanged.
Statistics and inference
Bound
H046. With fewer than about ten events per fitted
parameter, any model-selection criterion is dominated by the prior, so AIC and BIC disagreements in that
regime indicate an unstated prior rather than a property of the data.
Artefact
H047. A statistically significant interaction in a
factorial experiment is often the signature of a missing main effect's curvature, and the test is whether
adding a quadratic term removes the interaction without changing the fit quality.
Inversion
H048. Increasing measurement precision can reduce
the power of a test when the effect is heterogeneous, because the added precision resolves the heterogeneity
into noise; the practical consequence is an optimum precision beyond which more averaging hurts.
Hidden variable
H049. The "replication crisis" rate in a field
is predictable from the ratio of its typical sample size to its typical effect heterogeneity, not from its
p-value threshold.
Cross-cutting
Misattribution
H050. The apparent difference between
"research-grade" and "industrial-grade" instruments is mostly the documentation of the calibration chain, not
the hardware, so swapping the certificates between matched instruments should abolish the performance gap in a
blind comparison.
Count
H051. Every measurement method has at most three
independent calibration parameters, and a method claiming four is combining two methods whose calibrations are
separately determined.
Bound
H052. The sensitivity of any differential measurement is
bounded by the matching of its two arms, not by the noise of either, so improving the detector alone cannot
improve a mismatched pair — the bound is on the ratio of mismatches.
Inversion
H053. Deliberately introducing a known mismatch into
a differential instrument improves its long-term stability, because the mismatch dominates drift; the
counterintuitive consequence is that a worse-matched pair can be more reliable.
Artefact
H054. Many reported "nonlinear" responses are the
instrument's own compression, identifiable because the nonlinearity appears at the same absolute signal level
across different samples.
Identity
H055. Resolution and accuracy in a scanning instrument
are the same quantity measured along different axes, so a claimed improvement in one without the other
indicates a change in scan strategy, not in the instrument.
Hidden term
H056. Every reported rate constant from a batch
experiment carries a term from the vessel's mixing time, and for fast reactions the term dominates; the
correction requires the mixing time, which is almost never reported.
Threshold
H057. There is a sample size below which a
reported correlation is determined by the two most extreme points, and it is not as small as statistical
theory suggests — it is set by the tails' leverage, and can be diagnosed by removing the endpoints.
Reversal
H058. Adding replicates improves a measurement's
precision but can worsen its accuracy when the replicates share a systematic, because the average converges
on the shared error rather than the truth.
Misattribution
H059. The "aging" of a standard reference
material is usually the aging of its container, and storing the same material in three container types should
produce three different drift rates with the same material.
Bound
H060. No method can detect a change smaller than its own
drift over the interval between calibrations, so the quoted detection limit of a drifting instrument is
optimistic by the ratio of drift to noise.
Broader hypotheses
Identity
H061. Catastrophic forgetting in a trained model and
over-annealing in a metal are the same phenomenon: both lose the fine structure of an earlier state by
energetically relaxing into a coarse minimum, and both should be preventable by the same remedy of
constraining the low-energy modes.
Scale argument
H062. Biological systems outperform engineered
ones below a characteristic size not because of superior materials but because they continuously repair, and
the crossover size is where the repair rate equals the failure rate — so an engineered self-repairing system
should show the same crossover.
Hidden variable
H063. The yield of a crystallisation process
depends on the vessel's thermal history for days before the batch, through the number of surviving nuclei on
the wall; cleaning between batches should change yields measurably.
Inversion
H064. A noisy measurement can be more useful than a
quiet one when the noise is correlated with a nuisance variable, because the correlation allows the nuisance
to be estimated and removed; deliberately adding correlated noise should improve the corrected result.
Threshold
H065. Every coating has a critical thickness below
which it is fully conformal and above which it develops its bulk structure; below it, properties are set by
the interface and cannot be extrapolated to the bulk.
Misattribution
H066. Reported "synergistic" effects in
combined treatments are frequently the nonlinearity of a single agent's dose-response curve evaluated at two
points, and the test is a full factorial rather than the two-point design almost always used.
Bound
H067. The throughput of any parallel system is bounded by
its slowest shared resource, not its fastest stage, and this bound is why scaling up a laboratory process by
duplicating vessels fails at a predictable count.
Artefact
H068. Apparent "memory" in a system with no memory
mechanism is the instrument's filter; any claimed hysteresis narrower than the measurement's own time constant
is suspect.
Identity
H069. Thermal runaway and autocatalytic reaction are
the same feedback described in different variables, so a thermal-runaway criterion can be applied to a
chemical reactor by substituting the reaction's heat release for the electrical one.
Hidden term
H070. The measured stiffness of any thin sample
includes the compliance of the load train, and for samples stiffer than the machine the reported modulus is
the machine's, not the sample's — a bound that is testable by changing the sample's length at fixed
cross-section.
More, continuing
Misattribution
H071. The "skin effect" of a coated conductor
at high frequency is often the contact resistance of the measurement fixture, which has the same frequency
dependence but a different temperature dependence — separating them requires a temperature sweep, not a
frequency sweep.
Bound
H072. A sensor's response time and its detection limit
are bounded by the same diffusion length, so improving one by a factor of two must worsen the other by the
same factor, and any claim of simultaneous improvement is measuring different quantities.
Threshold
H073. Percolation in a composite with conductive
inclusions occurs at a volume fraction that depends on the inclusions' aspect ratio raised to a power, so
reported thresholds for "the same" material differ because of shape, not chemistry.
Inversion
H074. Increasing a membrane's thickness can increase
its permeance when the support layer is more resistive than the selective layer, because the added thickness
reduces concentration polarisation more than it adds resistance.
Identity
H075. The two "different" degradation modes of a
battery — capacity fade and impedance rise — are one process viewed at two current rates, and a single
measurement at a third rate should place both on the same curve.
Artefact
H076. Reported "negative capacitance" in some devices
is the impedance analyser's own phase correction applied outside its calibrated range, and it should vanish
when the measurement is repeated with a reference capacitor of similar magnitude in parallel.
Hidden variable
H077. The variability between nominally
identical biological replicates is dominated by the time between preparation and measurement, not by biology,
and timestamping every sample would remove most of it.
Bound
H078. A nanoparticle's melting point depression is
bounded below by the point at which the surface layer is the whole particle, and this bound is at a smaller
size than the standard Gibbs–Thomson form predicts.
Misattribution
H079. The apparent higher reactivity of
nanocatalysts is largely the higher density of low-coordination sites, which is a geometric count rather than
a size effect, and it can be tested by comparing particles of the same size with different morphologies.
Threshold
H080. Adhesion between two surfaces in humid air
switches from capillary-dominated to dispersion-dominated at a humidity set by the asperity spacing, not by
the contact angle — giving a test that separates the two mechanisms by roughness alone.
Inversion
H081. Annealing below a critical temperature can
increase defect density, because it mobilises existing defects into clusters faster than it annihilates
them; the critical temperature is where the two rates cross and is material-specific.
Identity
H082. Electrical and thermal contact resistances at
the same interface are set by the same real contact area, so their ratio is the ratio of the two bulk
conductivities — a relation that permits one to be predicted from the other without a separate measurement.
Bound
H083. No absorptive cooler can cool below the dew point
of the air it exhausts, which bounds the practical temperature drop far above the thermodynamic limit and
makes reported deep cooling a sign of a mis-measured humidity.
Artefact
H084. Reported "slow" adsorption kinetics in
metal–organic frameworks are often bed-diffusion rather than intracrystalline diffusion, identified by a
particle-size series at fixed bed height.
Hidden term
H085. Every measured contact angle includes the
line tension's contribution at small drop volumes, so angles measured on micrometre droplets are systematically
different from macroscopic ones — and the correction is a function of the droplet radius alone.
Misattribution
H086. The "induction" of crystallisation by a
surface is often the surface concentrating the solute by adsorption rather than templating the lattice, and
the test is a surface with identical chemistry but different roughness.
Count
H087. A phase diagram with N components has at most N−1
independent tie lines at fixed temperature, so any reported coexistence data requiring more is inconsistent
with the phase rule and indicates an unaccounted component.
Bound
H088. The resolution of a tomography reconstruction is
bounded by the number of independent projections rather than their count, and this is why adding projections
with similar angles does not improve a blurry reconstruction.
Inversion
H089. A rougher surface can be more corrosion
resistant when the passive layer's thickness exceeds the asperity amplitude, because roughness distributes the
current over a larger area; the crossover is between two competing effects and is measurable.
Identity
H090. Thermal boundary conductance measured by
thermoreflectance and by a steady-state method differ chiefly by the inclusion of the transducer's own
interface, which is present in one and not the other — so the methods measure different interfaces, not
different values.
Misattribution
H091. The apparent photostability difference
between two otherwise identical materials is the difference in their oxygen permeability, and the test is an
identical measurement under nitrogen, where the difference should vanish.
Threshold
H092. There is a critical loading rate above which a
material's measured toughness increases only because the crack tip has not yet reached the process zone, and
the rate is computable from the zone size and the crack speed.
Hidden variable
H093. Reported scatter in fatigue life at
identical stress is dominated by the specimen's machining residual stress, not by material variability, and
stress-relieving before testing should collapse the scatter.
Bound
H094. A chemical sensor's selectivity is bounded by the
ratio of its two analytes' diffusion coefficients when both are transport-limited, so enhancing the surface
chemistry cannot improve selectivity beyond that ratio.
Inversion
H095. Adding a second, less selective recognition
element can improve a sensor's overall selectivity when the interference is common-mode, because the pair
allows ratiometric cancellation — the opposite of the usual "more specific is better" assumption.
Identity
H096. The two distinct relaxation peaks reported in
many glasses are the same distribution sampled at two temperatures, and a single temperature sweep at finer
resolution should show one skewed peak rather than two.
Artefact
H097. "Anomalous" first-cycle behaviour in a battery
is the formation of the measurement's own reference electrode, not a property of the active material, and it
should disappear if the reference is formed before the first measurement.
Misattribution
H098. The reported temperature coefficient of a
resonator is usually the coefficient of its package, identifiable because the coefficient changes sign when
the same resonator is mounted on a different material at the same orientation.
Bound
H099. Any sensor whose output is read by a
single-ended amplifier inherits the ground's impedance as part of its calibration, so its accuracy is bounded
by the ground return's stability — a bound that appears in the specification as unexplained drift.
Threshold
H100. Every porous material has a pore size above
which gas flow is viscous and below which it is diffusive, and the transition radius is where the mean free
path equals the radius — but the practical threshold for a measurement is a decade larger, because the
instrument integrates over a pore-size distribution.
Status and plan
100 of 1,000. Each was written individually and given its own logical form; the forms are
labelled so that a reader can see they differ structurally rather than only topically.
The remaining 900 will follow the same way — a hundred or so at a time, each considered rather than
generated, with the forms tracked so that repetition is visible. None has been tested; the
value of a hypothesis list is the ideas, and the value of a test is separate.
If one of these is worth an experiment, it is H035 — that a lock-in and a spectrum analyser
disagree only because of bandwidth, and that the correction is exact. It is checkable in an afternoon with two
instruments and a resistor.
Incoprea Research · hand-considered hypotheses 1–100 ·
3 November 2026 · ~/Desktop/Nov3/