The Guarino Metric Suite: Thirty-Seven Dimensionless Metrics for Military Effectiveness Derived by Buckingham π Analysis, with a Twenty-Five-Term Theater Equation

{"The":[0,39,99,114,124,138,200],"Guarino":[1],"Metric":[2],"Suite":[3],"is":[4,15,136,162,168,267,292,351,389],"a":[5,18,31,104,117,189,229,256,265,275,313,382,386,434,437],"family":[6],"of":[7,21,343,381,442],"thirty-seven":[8,100,410],"dimensionless":[9,130],"metrics":[10],"for":[11,35,185,196,335,430],"military":[12],"effectiveness.":[13],"Each":[14,224],"derived":[16,236],"from":[17,238,312,317,374,454],"declared":[19,216,293],"set":[20],"governing":[22],"variables":[23],"by":[24,164],"the":[25,93,129,146,148,153,159,165,186,205,211,215,270,325,344,349,355,357,361,368,372,401,409,423,431,440,447,450],"Buckingham":[26,125],"π":[27,126],"theorem":[28,127],"and":[29,43,47,51,57,62,66,69,75,87,96,133,150,155,158,167,172,178,191,244,280,297,360,395,416,449],"produces":[30],"bounded":[32],"similarity":[33],"score":[34],"one":[36],"warfighting":[37],"domain.":[38],"domains":[40],"span":[41],"propulsion":[42],"ordnance":[44],"similarity,":[45],"squad":[46],"vehicle":[48],"effectiveness,":[49],"naval":[50],"air":[52,74],"platforms,":[53],"theater":[54,107,432],"logistics,":[55],"command":[56],"control":[58],"architecture,":[59],"space,":[60,132,144],"cyber":[61],"electronic":[63],"warfare,":[64],"intelligence":[65,444],"surveillance,":[67],"chemical":[68],"biological":[70],"environments,":[71],"field":[72],"artillery,":[73],"missile":[76],"defence,":[77],"engineering,":[78],"medical,":[79],"civil":[80],"affairs,":[81],"special":[82],"operations,":[83,85],"amphibious":[84],"hypersonic":[86],"directed-energy":[88],"weapons,":[89],"counter-unmanned":[90],"systems,":[91],"readiness,":[92],"industrial":[94],"base,":[95],"force":[97],"generation.":[98],"scores":[101],"assemble":[102],"into":[103],"single":[105],"twenty-five-term":[106],"equation":[108],"under":[109],"six":[110],"stated":[111],"assembly":[112],"rules.":[113],"suite":[115,187],"draws":[116],"distinction":[118],"that":[119,134,143,204,232,239,364,370],"governs":[120],"everything":[121],"in":[122,274,354,445],"it.":[123],"supplies":[128],"feature":[131],"step":[135],"theorem-derived.":[137],"scoring":[139,225,249],"model":[140],"built":[141],"over":[142],"including":[145],"exponents,":[147],"geometric-mean":[149],"product":[151],"forms,":[152],"bounding":[154],"normalizing":[156],"maps,":[157],"reference":[160],"states,":[161],"specified":[163],"author":[166],"subject":[169],"to":[170,302,397],"calibration":[171],"validation.":[173,223],"Paper":[174,179,322,377],"I,":[175],"Section":[176,181],"I.B":[177],"XXXVII,":[180],"VII":[182],"state":[183],"this":[184],"as":[188,310,412,417],"whole,":[190],"every":[192,234,287],"paper":[193,226,271,358],"repeats":[194],"it":[195,291,304],"its":[197],"own":[198,241],"scores.":[199],"worked":[201],"examples":[202],"show":[203],"model's":[206],"outputs":[207],"are":[208,220,307],"consistent":[209],"with":[210,228,252,367],"cited":[212],"record":[213],"at":[214],"operating":[217],"point;":[218],"they":[219],"not":[221,268,352],"independent":[222],"ships":[227],"Python":[230],"module":[231],"recomputes":[233],"printed":[235,242,245],"value":[237,257],"paper's":[240],"inputs":[243],"equations.":[246],"All":[247],"thirty-six":[248],"papers":[250],"reproduce":[251],"zero":[253],"mismatches.":[254],"Where":[255],"cannot":[258],"be":[259,300,398],"reproduced":[260],"because":[261],"an":[262,426],"input":[263],"or":[264,320],"constant":[266],"printed,":[269],"says":[272],"so":[273],"subsection":[276],"titled":[277],"\\"Declared":[278],"Inputs":[279],"Values":[281,306],"Not":[282],"Independently":[283],"Reproducible\\",":[284],"which":[285],"lists":[286],"such":[288],"quantity,":[289],"why":[290],"rather":[294],"than":[295],"derived,":[296],"what":[298],"would":[299],"required":[301],"make":[303],"derivable.":[305],"flagged":[308],"throughout":[309],"read":[311],"primary":[314],"source,":[315],"computed":[316],"source":[318],"quantities,":[319],"author-declared.":[321],"XXXIV":[323],"carries":[324],"suite's":[326],"first":[327],"external":[328],"falsification":[329],"test,":[330],"against":[331,385],"mission":[332],"capable":[333],"rates":[334],"eighteen":[336],"United":[337],"States":[338],"Air":[339],"Force":[340],"fleets.":[341],"One":[342],"two":[345],"mechanisms":[346],"tested":[347],"survives;":[348],"other":[350],"supported":[353],"direction":[356],"predicts,":[359],"section":[362],"reports":[363],"plainly":[365],"along":[366],"confound":[369],"prevents":[371],"test":[373],"being":[375],"decisive.":[376],"I's":[378],"retrospective":[379],"comparison":[380],"magnetoplasma":[383],"thruster":[384,388],"Hall-effect":[387],"rebuilt":[390],"on":[391,439],"measured":[392,403],"plasma":[393],"parameters":[394],"shown":[396],"robust":[399],"across":[400],"full":[402],"temperature":[404],"range.":[405],"This":[406],"deposit":[407,435],"contains":[408],"manuscripts":[411],"editable":[413],"Word":[414],"documents":[415],"rendered":[418],"PDFs":[419],"totalling":[420],"1,324":[421],"pages,":[422],"code":[424],"model,":[425],"interactive":[427],"offline":[428],"explorer":[429],"equation,":[433],"manifest,":[436],"declaration":[438],"use":[441],"artificial":[443],"preparing":[446],"work,":[448],"complete":[451],"revision":[452],"changelog":[453],"v7":[455],"through":[456],"v19.":[457]}

Authors

Institutions

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-17
DOI
https://doi.org/10.5281/zenodo.22803864
Primary Topic
Military Strategy and Technology
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
article

The Guarino Metric Suite: Thirty-Seven Dimensionless Metrics for Military Effectiveness Derived by Buckingham π Analysis, with a Twenty-Five-Term Theater Equation

Brian Guarino
Zenodo (CERN European Organization for Nuclear Research)
Military Strategy and Technology
article

The Guarino Metric Suite: Thirty-Seven Dimensionless Metrics for Military Effectiveness Derived by Buckingham π Analysis, with a Twenty-Five-Term Theater Equation

Brian Guarino
article en

Abstract

The Guarino Metric Suite is a family of thirty-seven dimensionless metrics for military effectiveness. Each is derived from a declared set of governing variables by the Buckingham π theorem and produces a bounded similarity score for one warfighting domain. The domains span propulsion and ordnance similarity, squad and vehicle effectiveness, naval and air platforms, theater logistics, command and control architecture, space, cyber and electronic warfare, intelligence and surveillance, chemical and biological environments, field artillery, air and missile defence, engineering, medical, civil affairs, special operations, amphibious operations, hypersonic and directed-energy weapons, counter-unmanned systems, readiness, the industrial base, and force generation. The thirty-seven scores assemble into a single twenty-five-term theater equation under six stated assembly rules. The suite draws a distinction that governs everything in it. The Buckingham π theorem supplies the dimensionless feature space, and that step is theorem-derived. The scoring model built over that space, including the exponents, the geometric-mean and product forms, the bounding and normalizing maps, and the reference states, is specified by the author and is subject to calibration and validation. Paper I, Section I.B and Paper XXXVII, Section VII state this for the suite as a whole, and every paper repeats it for its own scores. The worked examples show that the model's outputs are consistent with the cited record at the declared operating point; they are not independent validation. Each scoring paper ships with a Python module that recomputes every printed derived value from that paper's own printed inputs and printed equations. All thirty-six scoring papers reproduce with zero mismatches. Where a value cannot be reproduced because an input or a constant is not printed, the paper says so in a subsection titled "Declared Inputs and Values Not Independently Reproducible", which lists every such quantity, why it is declared rather than derived, and what would be required to make it derivable. Values are flagged throughout as read from a primary source, computed from source quantities, or author-declared. Paper XXXIV carries the suite's first external falsification test, against mission capable rates for eighteen United States Air Force fleets. One of the two mechanisms tested survives; the other is not supported in the direction the paper predicts, and the section reports that plainly along with the confound that prevents the test from being decisive. Paper I's retrospective comparison of a magnetoplasma thruster against a Hall-effect thruster is rebuilt on measured plasma parameters and shown to be robust across the full measured temperature range. This deposit contains the thirty-seven manuscripts as editable Word documents and as rendered PDFs totalling 1,324 pages, the code model, an interactive offline explorer for the theater equation, a deposit manifest, a declaration on the use of artificial intelligence in preparing the work, and the complete revision changelog from v7 through v19.

Zenodo (CERN European Organization for Nuclear Research)
PPG Industries (United States) (US)
Openalex Percentile: Top 15%
Military Strategy and Technology
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.