The Symmetry of Interdependence in Human–AI Teams and the Limits of Classical Team Science
Abstract
1. Introduction
1.1. Background of the Problem
“Some traditional warehouse roles have proved too difficult for Amazon to fully automate … Humans [but not robots] can easily look into a storage container packed full of goods, identify a particular item and know how to pick it up and handle it …”
“The vibrations of the “replication crisis” continue to be felt throughout the social sciences, and particularly within psychology.… Rather than effectively scrutinize this foundation, it has been more convenient… to push the narrative that it was founded on scientific rigor.”
The “performance of a team is not decomposable to, or an aggregation of, individual performances…”
1.2. Literature Review
2. Mathematics
“That a pure quantum state is entangled means that it is not separable… being separable means that the wave function can be written as
2.1. The Mathematics of Measurement Theory
2.2. Methods—Building Convergence I—Case Studies
“With Boeing’s Starliner spacecraft… we know the extent of the loss, both in time and money. Dragon first carried people to the space station nearly four years ago. In that span, the Crew Dragon vehicle has flown thirteen public and private missions to orbit. Because of this success, Dragon will end up flying 14 operational missions to the station for NASA, earning a tidy fee each time, compared to just six for Starliner.”
“KENNEDY SPACE CENTER (FL), 19 March 2025—Astronauts on NASA’s ninth rotational SpaceX crew mission (Crew-9) splashed down off the Florida coast yesterday evening, ending their months-long science expedition onboard the International Space Station (ISS). Over the course of the mission, the crew supported a variety of investigations… Returning crew members include NASA National Aeronautics and Space Administration astronauts… Suni Williams, and Butch Wilmore…”
2.3. Method—Convergence II
Method—Hypotheses Supported: Triangulation
- Claim 1: The self-reported questionnaires reviewed above (i.e., self-esteem, implicit racism, ego-depletion, honesty) capture belief data orthogonal to behavioral data, leading to poor correlations reflected by invalid concepts. It is possible that lying was involved, known as ”the Pygmalion effect.” However, these cognitive questionnaires produce data that are significantly cross-correlated with data from other questionnaires, but not with the claimed physical behavioral data, causing Nosek [17] to declare a “crisis”. Nosek’s recent plan to repair the damage was itself retracted [18]. Instead, we claim that an orthogonality exists with the cognitive and physical data, which we have published [46,81].
- Claim 3: Interdependence ends direct determinancy in classical social science for the decisions made by operational teams, by teams facing uncertainty or, for example, by teams making major changes in plans. That is, when successful, new structures reflect new dependencies in attempts to reduce vulnerability to change or, say, to too many competitors (e.g., marketplace, battlefield, etc.), but the success of new structures is roughly random (estimated at 50% by [54]). Despite that result, collective logical decisions by comparison are inferior to freely made choices [21,24]. We hypothesize that after an interaction, despite the uncertainty, the free market provides the i.i.d. data about what has or has not worked, reflecting choices superior to those made by CDM (authoritarians) [49].
- Claim 4: By reducing information with fewer dof, new organizational combinations are quantum-like in their decisions despite the absence of observable information until the results are known. Interdependence is a resource that promotes human development [43] and competition, reduces corruption, discovers vulnerability [24], and thrives under freedom.
2.4. New Hypothesis: Interdependence Is a Resource
3. Results
4. Discussion
“the role of symmetry in interdependence and conflict lies in the relationship between a state’s exit (opportunity) costs and the costs it is willing to bear in the face of political conflict with another state.”
“China’s leadership is concerned about corruption within the PLA’s ranks, especially at the lower levels, and to the extent possible wants to remove the individual soldier from the decision-making process in favor of machine-driven guidance.… in stark contrast to the U.S. Army’s way of war, which… sees its Soldiers as its greatest advantage in battle and relies on their intuition, improvisation, and adaptation to lead to victory.”
“China’s crackdown on corruption within its defense industry could set back its weapons… programs, delaying its military modernization…”
“Language is a defining characteristic of our species, but the function, or functions, that it serves has been debated for centuries.… in modern humans, language is a tool for communication… [not] for thinking.”
5. Conclusions—Limits of Classical Team Science
“true potential will not be in replacing humans with smart machines; rather, it will happen when activities become truly synchronized.”
6. Future Research
“…for reducing exposure to misinformation, deplatforming is controversial, in part because it has often been equated with censorship and raises concerns regarding potential infringements on freedom of speech…”
“Science reporting for the general public may be particularly prone to the unintentional spread of misinformation about science. Several factors can influence this, including journalistic norms (e.g., giving equal weight to both sides of a scientific debate, even when the scientific evidence overwhelmingly points in one direction)…”
Funding
Acknowledgments
Conflicts of Interest
Acronyms
CCP | China’s Communist Party |
CDM | Command decision-making |
DOE | Department of Energy |
dof | degrees of freedom |
F-16 | USAF F-16 fighter jet |
G-LOC | g forces induced loss of consciousness by jet fighter pilots |
HLW | High-level liquid radioactive wastes |
HMT | Human–machine team |
I | Information |
i.i.d. | Independent and identically distributed random data |
ISS | International Space Station |
MEP | Maximum entropy production generated by productivity |
SEP | Structural entropy production generated by structure |
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(a) | |||||
Theory : Interdependence (additive interference, synergy) [46]: non-separables. | Separables; tensor models (e.g., large language models [46].) | Interdependence (destructive interference; e.g., conflict): non-separables. | |||
Squeezing As interdependence increases, “squeezing” [44] on the left implies ; it means that information is lost as degrees of freedom reduce [7] (the invisible hand [45]), causing on the right, producing competition [45], information, boundaries [31], and chance [47]. | Command decision-making reduces interdependence [46], increasing cheating, corruption, disloyalty [48] and industrial policies, unlike the free market which “is soulless, exploitative, inequitable, unstable, and destructive, yet also all-conquering and overwhelming.” [49] | Inadvertently squeezing from conflict (divorce, business disruption), causes ; e.g., redundancy reduces effectiveness in organizations [31]; China’s CCP influencers in private companies and state-owned enterprises [50] add redundancy, causing inefficiency, corruption and espionage [31,51]. | |||
Example: Let and , then ; squeezing the uncertainty in to 1/2 or 1/10 amplifies uncertainty in to 2 and 10, respectively. | Given, for example, , no complementary squeezing or amplification occurs. | Let and , then ; if we squeeze the uncertainty in to 1/2 or 1/10, uncertainty in amplifies to 2 and 10, respectively. | |||
Example: SpaceX: Since 2014, 10 crews and 32 re-supply missions have made it to ISS (see spacex-crs32 press release NASA’s ISS). Its revenue per employee in 2022 an estimated $3.2 E5 (wiki/SpaceX and www.spacex.com) | An example of additive “plug and play,” Boeing designed and built many of ISS’s 40 major units ferried to space separately aboard 36 Space Shuttles (https://issnationallab.org/). | Since 2014, Boeing: 1 crew delivered to ISS; see press releases: spacex-crs32-research-overview (https://issnationallab.org/). It contracted: $1.96 E5 in 2024 (www.boeing.com/space, accessed on 15 July 2025) | |||
Information loss: ; i.e., orthogonal roles reduce Shannon Information ([7,52]); explains invalid concepts [17] and Nosek’s replication project failures [18]. | ; but, by definition, i.i.d. data [42] cannot replicate contexts, even filmed or videotaped [46]; “playbacks” give the illusion of reality (e.g., [53]). | data [46]; e.g., divorce [38]; organizational spinoffs, anger in business decision-making [39], bankruptcies; e.g., on the right, 50% of mergers fail [54]. | |||
(b) | |||||
Power: If and , then a crude model to increase Power: ; i.e., , crude but matches [41]. Mergers increase market power; e.g., [55]; mergers increase synergy by reducing costs; e.g., [56]). | Separables: Cars, airplanes, bridges, trains, etc., but they make cognitive constructs invalid; e.g., the invalidity of implicit racism, in [14]; the invalidity of Bargh’s implicit cognition; in [57]; etc. | Mergers can fail; e.g., Walgreens spins off Alliance Boots [58]; Dollar Tree sells Family Dollar [59]; Citigroup spins off Banamex [25]; Boeing sells digital assets [60]. | |||
Transcendence: Great investors transcend risks; e.g., Warren Buffett, Benjamin Graham, Peter Lynch [61]. | Average investors advised by Fama [62] that they should invest in S&P 500. | Deception: Deception uncovered led to downfall of Madoff [63], Eldrich Ames [64], and Enron [65]. | |||
Vulnerability uncovered in one’s own team, may be reduced by a merger; e.g., Google buys Wiz [59]. | Stalemate; e.g., prolonged Western front in WWI; 7-year DOE-NRC standoff over SRS HLW tanks 2005-11 [66]. | Vulnerability uncovered in a team by its opposition, leading to exploitation (e.g., cyber, in [67]; ransomware, in [68]). | |||
Cognition: Magic [69]; illusion of unified reality [70]; successful deception in WW2 (e.g., Operation Bodyguard, in [67,71]). | Frustration-Anger. Consensus-seeking slows progress (e.g., EU White paper [72]) and creates anger (DOE’s findings, in [66,73]). | Deception not uncovered: Bombing of Pearl Harbor, 1941; ISIS attacked U.S. on 9/11; Hamas invaded Israel on 7 October 2023. | |||
In the field: U.S. Army: Decision-making distributed to lowest member in chain of command, but the opposite occurs in China [74] | China: To reduce the potential for corruption, decisions distributed by machine-driven guidance, becoming chain of command at lowest levels [74]. | Collapse of Hamas (e.g., Fabian, in [75]); significant Russian losses undercut Russia’s apparent strength of its military [76] | |||
Evolution: Interdependence between technology and culture promotes competition [49], innovation [24], random choices [54], survival and evolution [77]. | Separables (e.g., LLMs) do not evolve autonomously; e.g., Von Neumann’s automata self-replicate [78], but do not evolve [46]. | Authoritarians block interdependence to control citizens, repress innovation, culture, need espionage to survive [51]; e.g., N. Korea [79]: “KIM’s authoritarian rule … expressed concerns with the regime’s economic failures and food problems.” |
Number | Country | HDI | GDP/cap | CPI | GII | Freedom |
---|---|---|---|---|---|---|
1 | Israel | 0.92 | 54.4k | 62 | 15 | 7.4 |
2 | Iran | 0.78 | 5.3k | 24 | 64 | 4.6 |
3 | Ukraine | 0.73 | 5.8k | 36 | 60 | 5.1 |
4 | Russia | 0.82 | 15.1k | 26 | 59 | 5.9 |
5 | Taiwan | NA | 34.9k | 67 | NA | 7.7 |
6 | China | 0.79 | 13.9k | 42 | 11 | 6.1 |
7 | S. Korea | 0.93 | 37.7k | 63 | 6 | 7.5 |
8 | N. Korea | NA | NA | 17 | NA | NA |
9 | Costa Rico | 0.81 | 18.7k | 55 | 70 | 7.6 |
10 | Haiti | 0.55 | 2.4k | 17 | NA | 5.8 |
11 | USA | 0.93 | 89.7k | 69 | 3 | 8.1 |
12 | Cuba | 0.76 | NA | 42 | NA | NA |
HDI | GDP/cap | CPI | GII | Freedom | |
---|---|---|---|---|---|
Advant. R1-3-5-7 to R2-4-6-8 | 1.08 | 22.32 | 2.09 | 1.65 | 1.25 |
Advant. R9-11 to R10-12 | 1.33 | 22.58 | 2.1 | NA | 1.35 |
Global Ave. Advantage | 1.21 | 22.45 | 2.10 | NA | 1.30 |
Free to Mostly Free Countries | Mostly Unfree to Unfree Countries | |
---|---|---|
Home-based firms | 86 | 14 |
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Lawless, W. The Symmetry of Interdependence in Human–AI Teams and the Limits of Classical Team Science. AppliedMath 2025, 5, 114. https://doi.org/10.3390/appliedmath5030114
Lawless W. The Symmetry of Interdependence in Human–AI Teams and the Limits of Classical Team Science. AppliedMath. 2025; 5(3):114. https://doi.org/10.3390/appliedmath5030114
Chicago/Turabian StyleLawless, William. 2025. "The Symmetry of Interdependence in Human–AI Teams and the Limits of Classical Team Science" AppliedMath 5, no. 3: 114. https://doi.org/10.3390/appliedmath5030114
APA StyleLawless, W. (2025). The Symmetry of Interdependence in Human–AI Teams and the Limits of Classical Team Science. AppliedMath, 5(3), 114. https://doi.org/10.3390/appliedmath5030114