Field Logic, Reflexive Planetary Systems and the Formal Problem of Holism
A note on method
I have spent several decades studying complex, recursive and self-organising systems. Generative tools now assist with composition: they help assemble, compare and refine an argument whose structure predates them. Field Logic was developed for systems that generate their own organisation, contain partial descriptions of themselves and are altered by those descriptions. Climate change is such a system. What follows makes that logic explicit enough to examine, test and use.
Abstract
Climate change is normally divided among physical, ecological, technological, economic, political and social descriptions. This division is necessary for precision and dangerous when mistaken for reality. Atmospheric change alters ecosystems, infrastructure, prices, migration, political expectations and technological investment. Those changes reorganise energy use, land use, governance and communication, which return to alter atmospheric conditions. The system also contains observers and institutions that model these dynamics. Once acted upon, their models become further causes within the system they describe.
Field Logic begins with organised relations rather than pre-existing objects. It treats identity, boundary and persistence as recurrent achievements within a changing field. It does not replace calculations of climate sensitivity, carbon budgets or radiative forcing. It describes how heterogeneous processes remain parts of one planetary organisation without becoming identical, how internal descriptions enter the dynamics, and how the system continually reorganises the futures available to it.
Field Logic does not solve climate change. It describes the kind of system in which climate change occurs.
1. The problem of the whole
Climate change is a physical reality. Anthropogenic greenhouse-gas emissions alter the radiative balance of the Earth, producing warming and extensive changes throughout the climate system. This account is well established and locally precise (IPCC, 2023).
The difficulty begins when a local account is required to describe the whole system in which its causes, observations and consequences occur. Carbon dioxide is emitted through infrastructures built by economies, authorised by institutions, financed through markets and defended or challenged through language. Climate observations enter models. Models enter reports, insurance calculations, investment decisions, legislation and public expectation. Those responses alter infrastructure and behaviour, which alter subsequent emissions, vulnerabilities and observations. The physical mechanism remains intact. What changes is our account of the organisation through which it becomes historically consequential.
Holism is often reduced to the claim that everything is connected. That is too weak to be useful. A serious holism must explain how distinctions remain valid inside a continuity that exceeds them. It must preserve the difference between atmospheric chemistry and electoral politics without pretending that either develops independently of relations passing through both. It must permit local precision without converting a local coordinate system into the architecture of reality.
Holism is the recognition that no local identity can be completely specified apart from relations that exceed it.
Field Logic reverses the usual explanatory order. The whole is not an object assembled from smaller objects. It is the relational continuity through which local processes become distinguishable, acquire boundaries and remain consequential to one another. A forest, an energy market, an ocean current, a government and a climate model are not expressions of one homogeneous substance. They are different local organisations participating in a field that none contains.
The whole does not exist above its parts. It exists through the relations that make them parts.
Every local description reveals real structure and excludes relations upon which its own coherence depends. The whole becomes available through the organised relation among incomplete perspectives, never through a final view from nowhere.
2. From climate system to planetary field
Earth system models already couple atmosphere, ocean, land, ice, biosphere and biogeochemical cycles. Integrated assessment models connect emissions and climate outcomes to energy, technology and economic activity. World–Earth and coupled human and natural systems models now place biophysical, economic and sociocultural processes into two-way feedback (Calvin and Bond-Lamberty, 2018; Donges et al., 2020; Schoenberg et al., 2025). Human activity can no longer remain an external scenario imposed upon an otherwise self-contained natural system.
Field Logic addresses the status of the terms being coupled. Models must declare entities, variables, boundaries and permissible transitions. Calculation requires it. In the wider system, those terms are not permanently given. Industries disappear. Technologies create new forms of demand. Institutions change jurisdiction. Ecological communities reorganise. Political identities form around anticipated futures. The field changes not only the values of its variables but the relations through which variables, actors and possibilities become identifiable.
Climate should consequently be distinguished from the planetary field within which climate change becomes entangled with life and human organisation. Climate is a persistent statistical and dynamical organisation of atmospheric, oceanic, cryospheric, geological and biological processes. The planetary field includes these processes and the technological, economic, institutional and communicative organisations now coupled to them. The distinction preserves physical specificity while locating it within the continuity that makes planetary consequences possible.
Heat transfer is not language. An election is not an ocean circulation. A price is not a molecule. They become one system where change in one space modifies the constraints, probabilities or timing of processes in another. The unity lies in organised consequence, not material sameness.
Carbon is a physical cause, but it is not a complete description of the system that emits, absorbs, measures, prices, regulates and disputes it.
3. A field that generates its own structure
A conventional dynamical model describes how a state changes. Let the state at time t be xₜ, and let a transition operator T determine its next state:
xₜ₊₁ = T(xₜ)
This form makes the state and transition rule explicit. It also tends to assume that the state space, relevant variables and transition architecture have already been specified. A reflexive planetary system does more. It changes the relations through which its state is defined, creates and removes possible transitions, and produces internal descriptions that modify the dynamics they describe.
An initial Field Logic description can be written as:
ℱₜ = (𝒱ₜ, xₜ, ℛₜ, Wₜ, τₜ, Ωₜ, pₜ, ℳₜ)
Here:
𝒱ₜ declares the model boundary and the processes admitted within it.
xₜ records the state variables available at time t.
ℛₜ records the relational topology through which those processes constrain one another.
Wₜ records the direction, sign and strength of relevant couplings.
τₜ records propagation, registration and response delays.
Ωₜ is the organised space of configurations and transitions available to the system.
pₜ distributes probability across those possibilities.
ℳₜ contains the models, categories, expectations and descriptions operating within the field.
This tuple is not a completed model of the Earth. It is a discipline for specifying one. Every application must state which boundary, variables, relations, delays, possibilities, measurements and internal descriptions it represents. It must also state what remains beyond that frame. An external input is external only relative to a declared boundary, not to relational reality.
The decisive change is that Ωₜ, pₜ, ℛₜ, Wₜ and the boundary itself can evolve. A new technology does not merely alter energy consumption within a fixed system. It produces infrastructures, dependencies, constituencies, extraction regimes and expectations. A prolonged drought can reorganise land use, insurance, migration, agriculture and the political meaning of water. The system creates differences that become conditions of its subsequent behaviour.
The system does not merely move through a space of possibilities. Its activity continually reorganises that space.
This is how the field generates structure internally. It reorganises relations and constraints so that new identities, pathways and futures become available while others disappear. History survives as an altered distribution of possibility.
4. Self-description inside the system
The planetary field is reflexive because it contains processes capable of constructing and acting through descriptions of the field. Climate science, economic forecasting, political narratives, insurance models, engineering standards, public memory and Indigenous knowledge systems differ in method and authority. Each nevertheless orients action towards conditions extending beyond its immediate frame.
The planetary field contains the observers, models and institutions through which it attempts to understand itself.
A minimal sequence is:
yₜ = Cₜ(ℱₜ) + εₜ
mₜ = Dₜ(y₀…ₜ)
aₜ = Πₜ(mₜ)
ℱₜ₊₁ = Tₜ(ℱₜ, aₜ, hₜ)
The measurement interface Cₜ transforms parts of the field into observations yₜ, with residual error εₜ. The description process Dₜ organises present and inherited observations into a model mₜ. A decision process Πₜ converts that model into action aₜ. The transition operator Tₜ produces the next field state under those actions and relations hₜ crossing the declared horizon.
Cₜ, Dₜ and Πₜ are not outside the field. Sensors require institutions, infrastructure and standards. Models inherit categories and assumptions. Decisions pass through legal, economic and technological interfaces. Each operation is partial and delayed.
The transition operator can also change:
Tₜ₊₁ = G(Tₜ, ℱₜ, aₜ)
Infrastructure, law, ecological degradation, education and investment alter the pathways through which later action becomes possible. A coal-fired power station changes emissions, but it also creates a durable asset, supply chain, employment dependency, political interest and expectation about future energy. The intervention modifies both the present state and the machinery of subsequent transition.
A climate projection enters an assessment. The assessment influences regulation, investment, adaptation, opposition or delay. Those actions alter emissions and vulnerability. The later climate is not the future that would have occurred had the projection never existed. A correct model can help prevent its own forecast. A publicly rejected model can still alter finance, engineering and administration. Prediction becomes causally active when organised action passes through it (Beckage et al., 2022; Hazeleger et al., 2024).
A climate model is not outside the climate system. Once people and institutions act through it, the model becomes one of the system’s causes.
This does not mean that physical reality is produced by discourse. It means that discourse is one pathway through which a technologically organised species modifies physical reality. Atmospheric carbon does not negotiate with a narrative. The infrastructures producing it are built, financed, regulated and maintained through symbolic and institutional organisation.
The system’s attempt to understand itself changes the system being understood.
5. Delay, persistence and tipping
Every relation requires time to propagate. Emission, atmospheric accumulation, heat uptake, ice loss, ecological response, infrastructure replacement, policy formation and cultural recognition occur at different rates. Their delays are not inconveniences surrounding an otherwise instantaneous causal system. They are part of its causal architecture.
Political terms are short. Capital stock persists for decades. Oceanic and cryospheric responses continue for centuries or longer. Communication systems reorganise public attention within hours. A news cycle can amplify an extreme event and lose interest before institutional response begins. Insurance can retreat from a region before protective infrastructure is built. An ecological threshold can be approached while delayed consequences remain partly hidden. The planetary field is not simply slow or fast. It is differentially timed.
Delay is not an inconvenience added to climate action. It is part of the causal architecture of the system.
This temporal structure is measurable. Lagged correlation, impulse-response analysis, recurrence measures, cross-spectral analysis and phase relationships can test how processes propagate and whether apparently separate events participate in shared organisation. A useful diagnostic compares response delay with the characteristic time over which the relevant conditions change:
Λᵢⱼ = τᵢⱼ(response) ÷ τᵢⱼ(change)
When Λᵢⱼ becomes large across a strongly coupled interface, response is organised around conditions that have substantially changed before it takes effect. Inherited control becomes phase-displaced from the process it is attempting to regulate.
Climate is already a problem of persistence. Weather states change continuously while characteristic distributions, cycles and relations recur. A climate regime persists not because every variable remains constant, but because sufficient organisation is reproduced across variation.
Let Φ(ℱₜ) map a detailed field state onto the organisation proposed to matter for continuity. Let dₓ measure physical difference and dₒ organisational difference. Across an interval Δ, substantial state change can coexist with organisational persistence when:
dₓ[x(t + Δ), x(t)] > δ
while
dₒ{Φ[ℱ(t + Δ)], Φ[ℱ(t)]} ≤ ε
The tolerances δ and ε must be specified for the process, scale and evidence under study. The equations do not announce which organisation matters. They force the researcher to state it.
A regime shifts when change no longer reproduces the relations through which the previous regime remained available. The system has not merely reached an unusual point inside the same organisation. Its feedbacks, couplings or viable basin have changed. Climate tipping research already identifies components capable of qualitative and partly irreversible change, including interactions that can stabilise or destabilise other tipping elements (Lenton et al., 2008; Wunderling et al., 2021; Armstrong McKay et al., 2022).
A tipping point is not merely the crossing of a number. It is a reorganisation of the relations that made the previous regime reproducible.
The same global mean can be realised through different regional patterns, rates, sequences and compound events. Magnitude matters. So do path, delay and coupling.
What persists is not a state, but an organised bias in what can happen next.
6. Order, entropy and displaced instability
Entropy requires care. Thermodynamic entropy is a physical quantity, not a synonym for political disorder. Field Logic also uses an informational description: relational entropy concerns the distribution of possibilities represented within a model. The two connect only where a mapping and physical mechanism are explicitly stated.
For a modelled distribution pᵢ across possible configurations:
H = −Σᵢ pᵢ log(pᵢ)
This expression does not tell us whether a system is healthy, disordered or desirable. A narrow distribution can indicate effective constraint or dangerous rigidity. A broad distribution can indicate adaptability or loss of coherence. Viability depends on the organisation of possibilities, not on maximising or minimising entropy in the abstract.
Industrial civilisation creates local order by concentrating energy, materials, infrastructure, information and control. It does not eliminate entropy or uncertainty. It redistributes them through extraction zones, waste streams, ecological degradation, atmospheric accumulation and deferred maintenance. Fossil energy produced reliable local power by transferring persistent change into the planetary field.
Stability purchased by exporting costs, suppressing variation or preventing adaptation is delayed instability.
Climate change exposes this antisymmetry. Local organisation narrows immediate possibilities to make production reliable while its cumulative effects transform the possibilities confronting ecosystems, communities and future institutions. No intervention is without remainder. The serious question is what it reorganises beyond its intended frame.
7. Scale-recursive organisation
The planetary field is often described as fractal. The intuition is useful, but the mathematical term belongs where a scaling relation or defined self-similarity has been demonstrated. The more exact description here is scale-recursive.
Every apparent component becomes another relational field when examined closely enough.
An energy system contains generators, fuels, grids, laws, finance, labour, knowledge and habits. At a wider scale, that system becomes one process within climate, economy, ecology and governance. A relation at one scale becomes an identifiable term at another.
This is not a clean hierarchy of boxes. Fields overlap. A city is simultaneously infrastructural, hydrological, economic, ecological, administrative and semantic. These descriptions share events without reducing to one coordinate system. What binds them is the transformation of constraints across their interfaces.
This is the essence of holism in Field Logic. The whole exists through local differentiations that never contain it, while every local differentiation inherits conditions from the whole it helps reproduce. Neither level is primary. Their relation persists through continual reconstruction.
8. What the logic changes
The formal gain is precise. Boundaries become explicit and revisable. Identities become relational achievements. Delay becomes constitutive. Internal descriptions enter the dynamics. The possibility space and transition operator can evolve. Persistence is defined through relational invariance rather than state preservation. The whole is approached through relations among partial descriptions rather than reduced to one privileged model.
- Endogenous description
Models with one-way human inputs should be compared with models in which observation, expectation, behaviour and policy are endogenous. Existing coupled studies show that representing human behaviour can materially change projected climate outcomes (Beckage et al., 2018; Schoenberg et al., 2025). The architecture of internal description affects the distribution, timing and accessibility of future trajectories.
- Relational early warning
Early warning should examine changing relations as well as changing variables. Phase drift, increasing response delay, altered coupling, rising autocorrelation, network fragmentation and cross-domain synchronisation can disclose a loss of resilience before a headline variable crosses its threshold.
- Interface intervention
Interventions should be evaluated where one organisation becomes another: information becomes expectation, expectation becomes investment, investment becomes infrastructure, and infrastructure becomes emissions or adaptation. The question is not only whether an intervention changes a target variable, but whether it changes the relations reproducing the target condition.
- Displaced cost
Claims of local success should be tested beyond the chosen frame. An intervention that stabilises price, supply or political support by exporting ecological, temporal or distributive costs has not removed instability. It has changed its location, timing or form.
Persistence through transformation
Resilience is not preservation. A system that retains its visible structure by exhausting the conditions of future adaptation is not resilient. The test is whether transformation preserves the relations necessary for further viable transformation.
These propositions are falsifiable at the domain level. A proposed relation can fail to predict timing. An interface can prove causally weak. An alleged invariant can disappear under component replacement. A coupled model can perform no better than a simpler one. Field Logic earns its place only where abstraction becomes measurement and evidence can show where it fails.
9. The whole does not stand still
Climate change is not a single problem travelling through a collection of separate systems. It is a reorganisation propagating through a planetary field whose physical, biological, technological, economic, political and communicative processes remain different while continually altering one another’s conditions of operation.
The whole cannot be observed from outside because the observers, instruments, models and institutions through which it becomes intelligible are already among its processes. This does not make knowledge impossible. It makes knowledge local, consequential and revisable. A model can be accurate without being complete. Holism is the organised relation among such partial truths.
The field persists by reconstructing the differences, delays, constraints and probabilities through which further organisation remains possible. Climate change matters because those conditions are being reorganised across scales faster than many ecological and institutional relations can adapt. The threat is not change in the abstract. It is the loss of relations through which viable change could continue.
Climate change is not a problem occurring inside a stable planetary system. It is a change in the conditions through which planetary stability is reproduced.
Field Logic permits us to speak of the whole without dissolving physical causation into metaphor, reducing reality to one model, or pretending that human observers stand apart from what they alter. The whole is real as relational continuity. Every account of it remains one of its local acts.
Selected references
Armstrong McKay, D.I., Staal, A., Abrams, J.F., Winkelmann, R., Sakschewski, B., Loriani, S., Fetzer, I., Cornell, S.E., Rockström, J. and Lenton, T.M. (2022) ‘Exceeding 1.5°C global warming could trigger multiple climate tipping points’, Science, 377(6611), eabn7950. https://doi.org/10.1126/science.abn7950
Beckage, B. et al. (2018) ‘Linking models of human behaviour and climate alters projected climate change’, Nature Climate Change, 8, pp. 79–84. https://doi.org/10.1038/s41558-017-0031-7
Beckage, B. et al. (2022) ‘Incorporating human behaviour into Earth system modelling’, Nature Human Behaviour, 6, pp. 1493–1502. https://doi.org/10.1038/s41562-022-01478-5
Calvin, K. and Bond-Lamberty, B. (2018) ‘Integrated human–Earth system modeling: state of the science and future directions’, Environmental Research Letters, 13(6), 063006. https://doi.org/10.1088/1748-9326/aac642
Donges, J.F., Winkelmann, R., Lucht, W., Cornell, S.E., Dyke, J.G., Rockström, J., Heitzig, J. and Schellnhuber, H.J. (2017) ‘Closing the loop: reconnecting human dynamics to Earth System science’, The Anthropocene Review, 4(2), pp. 151–157. https://doi.org/10.1177/2053019617725537
Donges, J.F. et al. (2020) ‘Earth system modeling with endogenous and dynamic human societies: the copan:CORE open World–Earth modeling framework’, Earth System Dynamics, 11, pp. 395–413. https://doi.org/10.5194/esd-11-395-2020
Hazeleger, W. et al. (2024) ‘Digital twins of the Earth with and for humans’, Communications Earth & Environment, 5, 463. https://doi.org/10.1038/s43247-024-01626-x
IPCC (2023) Climate Change 2023: Synthesis Report. Geneva: Intergovernmental Panel on Climate Change. https://doi.org/10.59327/IPCC/AR6-9789291691647
Lenton, T.M., Held, H., Kriegler, E., Hall, J.W., Lucht, W., Rahmstorf, S. and Schellnhuber, H.J. (2008) ‘Tipping elements in the Earth’s climate system’, Proceedings of the National Academy of Sciences, 105(6), pp. 1786–1793. https://doi.org/10.1073/pnas.0705414105
Schoenberg, W. et al. (2025) ‘An overview of FRIDA v2.1: a feedback-based, fully coupled, global integrated assessment model of climate and humans’, Geoscientific Model Development, 18, pp. 8047–8069. https://doi.org/10.5194/gmd-18-8047-2025
Wunderling, N., Donges, J.F., Kurths, J. and Winkelmann, R. (2021) ‘Interacting tipping elements increase risk of climate domino effects under global warming’, Earth System Dynamics, 12, pp. 601–619. https://doi.org/10.5194/esd-12-601-2021
Conceptual foundations
Wallace, G. (2026) ‘Field Logic: A Primer’. https://daedeluskite.com/2026/05/04/field-logic-a-primer/
Wallace, G. (2026) ‘Applied Field Logic: Climate Change’. https://daedeluskite.com/2026/06/25/planetary-systems/
Wallace, G. (2026) ‘Applied Field Logic: Mathematical Foundations’. https://daedeluskite.com/2026/06/27/afl-mathematical-foundations/
Wallace, G. (2026) ‘local logic, global reality’. https://daedeluskite.com/2026/07/07/local-logic-global-reality/
Wallace, G. (2026) ‘logical orbit: organised persistence as relational invariant’. https://daedeluskite.com/2026/07/14/invariant-transformation/
Wallace, G. (2026) ‘Order, Entropy and the Antisymmetry of Persistence’. https://daedeluskite.com/2026/07/30/tomorrow-people/
Wallace, G. (2026) ‘Persistence of Reality’. https://daedeluskite.com/2026/08/28/persistence-of-reality/
