{"protocol_version":"0.2.0","generated_at":"2026-09-29T22:17:52.490Z","story":{"protocol_version":"0.2.0","id":"STORY-2026-0004","version":"v0.1","status":"PUBLISHED","headline":"A Heat Engine That Runs by Rewiring a Network","dek":"In a solvable many-particle model, adding and removing one bond produces exact work and entropy laws controlled by a single network distance—then closes into a two-temperature engine.","body":"What if a heat engine changed not the size of its container, but the list of forces holding its particles together? The new study builds such a cycle on paper. Its working substance is a small network whose links can be inserted, removed and allowed to exchange heat.\n\nThe clean example uses three particles moving in a plane. Two links first form an open chain. A third link closes the triangle, changing every particle's force landscape at once because the confinement depends on the network's total strain.\n\nFor one sudden link change, the full work distribution remembers the original network through a single number called effective resistance. That compression is the result's surprise. A global web of interactions enters one nonequilibrium operation through one local-looking graph distance.\n\nIn 1940, Hendrik Kramers showed how a weakly damped system's energy can wander slowly while its mechanical motion remains fast. That energy-diffusion picture became foundational for reaction rates. It did not provide the present accounting of driven work, heat, entropy and network topology.\n\nIn 1991, Stephan Linkwitz and Hermann Grabert studied a weakly damped driven well. In 1992 and 1993, Christopher Jarzynski developed energy diffusion for slowly driven ergodic systems and chaotic billiards. Those advances treated driving, but did not combine this thermal current with the network engine built here.\n\nIn 2016 and 2019, Domingos Salazar and Sérgio Lira made the same slow-energy logic concrete for highly underdamped trapped particles. They obtained exact relaxation and nonharmonic results, including an effective count of thermodynamic degrees of freedom. Their solved systems did not yet turn graph rewiring into an engine.\n\nIn 2022, Y. H. Chen and colleagues built a microscopic Brownian route to Curzon–Ahlborn performance. Jin-Fu Chen and Hai-Tao Quan added a constrained maximum-power analysis in 2024. Those are the closest engine precedents; the new construction instead makes a nonlinear many-particle interaction network itself the control.\n\nThe theorem begins in a highly underdamped regime. Each mechanical orbit must be much faster than damping and control, and the motion must sample an energy shell well enough that total energy behaves as a closed random variable. Without that separation, the one-coordinate description can fail.\n\nA second restriction supplies solvability. The confining energy must scale by one power when every position is rescaled. Within this homogeneous family, one parameter fixes thermal size, heat capacity and fluctuation strength, while another fixes the rate of relaxation and therefore the clock for power.\n\nThis distinction prevents a common shortcut. Two systems can share equilibrium energy statistics yet relax at different rates. The paper keeps the thermodynamic size and kinetic clock separate, then asks which conclusions survive when independent particles are replaced by an interacting graph.\n\nThe graph cage answers that question with a synthetic collective potential. It first adds the squared separations along every weighted link. It then raises that total strain to a common power, so stretching one link changes the restoring force transmitted through all the others.\n\nPicture a road map in which effective resistance measures how many weighted detours connect two junctions. Adding a direct road matters less when many good alternatives already exist. The mathematical quantity plays the same bookkeeping role here, although no electrical current or traffic is part of the physical model.\n\nThe proof changes coordinates until the network's distorted energy shells become round. Their volume then splits into a radial factor and a graph factor. A standard rank-one update shows how that graph factor changes when a single link is altered.\n\nThe radial part says how much energy the cage carries. The angular part says how much of the configuration points along the edited link. These two random pieces become independent, producing an exact work law for any positive homogeneity power and any connected starting graph.\n\nThat law is stronger than a mean-work formula. It yields every work moment and recovers the Jarzynski and Crooks fluctuation relations. Yet it remains sharply scoped—the link must change suddenly while positions and momenta are effectively frozen.\n\nThe paper works out the most vivid case in full. Three planar particles begin as a path, and the missing link is inserted with unit weight. The collective confinement grows as the fourth power of distance, making the force genuinely nonadditive rather than three independent springs in disguise.\n\nIn that quench, the work is always nonnegative because the added link tightens the cage. Irreversibility compares that work with the equilibrium free-energy increase. On about 41 percent of trajectories, the work falls below that increase and the stochastic entropy production is negative.\n\nThose events are apparent second-law violations, not failures of the second law. A long positive tail keeps the average entropy production nonnegative, and the exponential fluctuation identity remains exact. The full distribution shows why an average alone can hide much of the process.\n\nOnce the new triangle is allowed to thermalize, the extra energy drains as heat. The study gives the relaxation law and the joint statistics of insertion work and later heat. Mixed fluctuations that are usually treated separately can therefore be generated from one closed expression.\n\nThe same framework also sharpens a broader uncertainty lesson. For thermal exchange in the homogeneous family, the usual current bound is satisfied but can sit far below the exact noise. The paper replaces that loose comparison with an identity whose finite-size gap is controlled solely by thermodynamic size.\n\nNow the rewiring becomes a cycle. Insert the missing link while the open chain is equilibrated with a cold bath. Heat the closed triangle, remove the link after hot equilibration, then cool the restored path. The force network returns to its starting topology after four strokes.\n\nAbove an explicit temperature-ratio threshold set by link strength, the cycle delivers net work. Its efficiency remains below the Carnot ceiling because the mean entropy production is nonnegative. The result includes the mean heats, work variance and the complete cycle-work transform.\n\nThis is a topology-changing engine, but not a claim that rewiring always beats compression. Its value is exact solvability. It exposes how a discrete structural operation can become a thermodynamic control with calculable fluctuations, rather than only a change in equilibrium free energy.\n\nComplete equilibration between link changes is essential to the closed cycle formulas. Shorter contacts would preserve memory between strokes and correlate the two surgeries. Then total energy alone no longer carries every needed variable, and the angular sector must travel with it.\n\nThe paper places this engine beside Carnot, Otto, Stirling, Ericsson and Brayton–Joule cycles, plus a smooth optimized loop. The comparison makes one methodological point—constraints select architecture. Optimizing stroke timing, pressure ratio or a smooth control budget answers different questions and can produce different celebrated efficiencies.\n\nThe cycle atlas is therefore not a beauty contest among engine names. It separates imposed topology from continuous optimization. Even the smooth loop is globally optimal only inside its declared fixed-period function space and experimental budgets.\n\nThe release tests the analytic claims with classical computation. Independent checks reproduced the edge-work mean and variance, the free-energy relation, the forward–reverse fluctuation symmetry and the roughly 41 percent negative-production probability without sampling from the asserted factorization.\n\nA separate offline reconstruction reran the scientific validators in a network-disabled, read-only container. The smooth-cycle equality, exchange uncertainty identity, graph update and hard-sphere consistency checks all passed. These are reproducibility results, not laboratory measurements.\n\nThe largest limitation is also the next experimental problem. The graph cage is a proposed synthetic interaction, not a realized device in this release. Feedback traps and tunable multiparticle platforms motivate it, but controller delay, bandwidth and measurement noise would add scales absent from the exact model.\n\nGeneric finite-rate rewiring also breaks the simplest energy-only closure unless shell mixing is fast enough or extra angular observables are retained. The hard-sphere and mean-field fluid extensions elsewhere in the paper are conditional reduced models, not microscopic convergence proofs.\n\nReturn to the road map. For one sudden new road, effective resistance can summarize the whole network's response. During continuous reconstruction, the traffic pattern matters too. The exact result is powerful because it marks both sides of that boundary.\n\nCorrespondent v0.2 prepared this Story from immutable Research Object RO-2026-0005, with its DOI linked on the source record. The public record names Maestro v0.1 as scientific creator and Domingos S. P. Salazar as Program Manager. The Story explains the release without changing its claims.","paragraphs":[{"id":"p1","text":"What if a heat engine changed not the size of its container, but the list of forces holding its particles together? The new study builds such a cycle on paper. Its working substance is a small network whose links can be inserted, removed and allowed to exchange heat."},{"id":"p2","text":"The clean example uses three particles moving in a plane. Two links first form an open chain. A third link closes the triangle, changing every particle's force landscape at once because the confinement depends on the network's total strain."},{"id":"p3","text":"For one sudden link change, the full work distribution remembers the original network through a single number called effective resistance. That compression is the result's surprise. A global web of interactions enters one nonequilibrium operation through one local-looking graph distance."},{"id":"p4","text":"In 1940, Hendrik Kramers showed how a weakly damped system's energy can wander slowly while its mechanical motion remains fast. That energy-diffusion picture became foundational for reaction rates. It did not provide the present accounting of driven work, heat, entropy and network topology."},{"id":"p5","text":"In 1991, Stephan Linkwitz and Hermann Grabert studied a weakly damped driven well. In 1992 and 1993, Christopher Jarzynski developed energy diffusion for slowly driven ergodic systems and chaotic billiards. Those advances treated driving, but did not combine this thermal current with the network engine built here."},{"id":"p6","text":"In 2016 and 2019, Domingos Salazar and Sérgio Lira made the same slow-energy logic concrete for highly underdamped trapped particles. They obtained exact relaxation and nonharmonic results, including an effective count of thermodynamic degrees of freedom. Their solved systems did not yet turn graph rewiring into an engine."},{"id":"p7","text":"In 2022, Y. H. Chen and colleagues built a microscopic Brownian route to Curzon–Ahlborn performance. Jin-Fu Chen and Hai-Tao Quan added a constrained maximum-power analysis in 2024. Those are the closest engine precedents; the new construction instead makes a nonlinear many-particle interaction network itself the control."},{"id":"p8","text":"The theorem begins in a highly underdamped regime. Each mechanical orbit must be much faster than damping and control, and the motion must sample an energy shell well enough that total energy behaves as a closed random variable. Without that separation, the one-coordinate description can fail."},{"id":"p9","text":"A second restriction supplies solvability. The confining energy must scale by one power when every position is rescaled. Within this homogeneous family, one parameter fixes thermal size, heat capacity and fluctuation strength, while another fixes the rate of relaxation and therefore the clock for power."},{"id":"p10","text":"This distinction prevents a common shortcut. Two systems can share equilibrium energy statistics yet relax at different rates. The paper keeps the thermodynamic size and kinetic clock separate, then asks which conclusions survive when independent particles are replaced by an interacting graph."},{"id":"p11","text":"The graph cage answers that question with a synthetic collective potential. It first adds the squared separations along every weighted link. It then raises that total strain to a common power, so stretching one link changes the restoring force transmitted through all the others."},{"id":"p12","text":"Picture a road map in which effective resistance measures how many weighted detours connect two junctions. Adding a direct road matters less when many good alternatives already exist. The mathematical quantity plays the same bookkeeping role here, although no electrical current or traffic is part of the physical model."},{"id":"p13","text":"The proof changes coordinates until the network's distorted energy shells become round. Their volume then splits into a radial factor and a graph factor. A standard rank-one update shows how that graph factor changes when a single link is altered."},{"id":"p14","text":"The radial part says how much energy the cage carries. The angular part says how much of the configuration points along the edited link. These two random pieces become independent, producing an exact work law for any positive homogeneity power and any connected starting graph."},{"id":"p15","text":"That law is stronger than a mean-work formula. It yields every work moment and recovers the Jarzynski and Crooks fluctuation relations. Yet it remains sharply scoped—the link must change suddenly while positions and momenta are effectively frozen."},{"id":"p16","text":"The paper works out the most vivid case in full. Three planar particles begin as a path, and the missing link is inserted with unit weight. The collective confinement grows as the fourth power of distance, making the force genuinely nonadditive rather than three independent springs in disguise."},{"id":"p17","text":"In that quench, the work is always nonnegative because the added link tightens the cage. Irreversibility compares that work with the equilibrium free-energy increase. On about 41 percent of trajectories, the work falls below that increase and the stochastic entropy production is negative."},{"id":"p18","text":"Those events are apparent second-law violations, not failures of the second law. A long positive tail keeps the average entropy production nonnegative, and the exponential fluctuation identity remains exact. The full distribution shows why an average alone can hide much of the process."},{"id":"p19","text":"Once the new triangle is allowed to thermalize, the extra energy drains as heat. The study gives the relaxation law and the joint statistics of insertion work and later heat. Mixed fluctuations that are usually treated separately can therefore be generated from one closed expression."},{"id":"p20","text":"The same framework also sharpens a broader uncertainty lesson. For thermal exchange in the homogeneous family, the usual current bound is satisfied but can sit far below the exact noise. The paper replaces that loose comparison with an identity whose finite-size gap is controlled solely by thermodynamic size."},{"id":"p21","text":"Now the rewiring becomes a cycle. Insert the missing link while the open chain is equilibrated with a cold bath. Heat the closed triangle, remove the link after hot equilibration, then cool the restored path. The force network returns to its starting topology after four strokes."},{"id":"p22","text":"Above an explicit temperature-ratio threshold set by link strength, the cycle delivers net work. Its efficiency remains below the Carnot ceiling because the mean entropy production is nonnegative. The result includes the mean heats, work variance and the complete cycle-work transform."},{"id":"p23","text":"This is a topology-changing engine, but not a claim that rewiring always beats compression. Its value is exact solvability. It exposes how a discrete structural operation can become a thermodynamic control with calculable fluctuations, rather than only a change in equilibrium free energy."},{"id":"p24","text":"Complete equilibration between link changes is essential to the closed cycle formulas. Shorter contacts would preserve memory between strokes and correlate the two surgeries. Then total energy alone no longer carries every needed variable, and the angular sector must travel with it."},{"id":"p25","text":"The paper places this engine beside Carnot, Otto, Stirling, Ericsson and Brayton–Joule cycles, plus a smooth optimized loop. The comparison makes one methodological point—constraints select architecture. Optimizing stroke timing, pressure ratio or a smooth control budget answers different questions and can produce different celebrated efficiencies."},{"id":"p26","text":"The cycle atlas is therefore not a beauty contest among engine names. It separates imposed topology from continuous optimization. Even the smooth loop is globally optimal only inside its declared fixed-period function space and experimental budgets."},{"id":"p27","text":"The release tests the analytic claims with classical computation. Independent checks reproduced the edge-work mean and variance, the free-energy relation, the forward–reverse fluctuation symmetry and the roughly 41 percent negative-production probability without sampling from the asserted factorization."},{"id":"p28","text":"A separate offline reconstruction reran the scientific validators in a network-disabled, read-only container. The smooth-cycle equality, exchange uncertainty identity, graph update and hard-sphere consistency checks all passed. These are reproducibility results, not laboratory measurements."},{"id":"p29","text":"The largest limitation is also the next experimental problem. The graph cage is a proposed synthetic interaction, not a realized device in this release. Feedback traps and tunable multiparticle platforms motivate it, but controller delay, bandwidth and measurement noise would add scales absent from the exact model."},{"id":"p30","text":"Generic finite-rate rewiring also breaks the simplest energy-only closure unless shell mixing is fast enough or extra angular observables are retained. The hard-sphere and mean-field fluid extensions elsewhere in the paper are conditional reduced models, not microscopic convergence proofs."},{"id":"p31","text":"Return to the road map. For one sudden new road, effective resistance can summarize the whole network's response. During continuous reconstruction, the traffic pattern matters too. The exact result is powerful because it marks both sides of that boundary."},{"id":"p32","text":"Correspondent v0.2 prepared this Story from immutable Research Object RO-2026-0005, with its DOI linked on the source record. The public record names Maestro v0.1 as scientific creator and Domingos S. P. Salazar as Program Manager. The Story explains the release without changing its claims."}],"sections":[{"id":"section-opening","heading":"An engine with a changing wiring diagram","paragraph_ids":["p1","p2","p3"]},{"id":"section-history","heading":"From slow energy diffusion to controllable engines","paragraph_ids":["p4","p5","p6","p7"]},{"id":"section-boundary","heading":"The theorem boundary — when total energy is enough","paragraph_ids":["p8","p9","p10","p11"]},{"id":"section-proof","heading":"Proof intuition — how a network becomes one number","paragraph_ids":["p12","p13","p14","p15"]},{"id":"section-result","heading":"An exact distribution of work and irreversibility","paragraph_ids":["p16","p17","p18","p19","p20"]},{"id":"section-thermodynamic","heading":"Thermodynamic scope — four strokes of graph surgery","paragraph_ids":["p21","p22","p23","p24"]},{"id":"section-scaling","heading":"Six cycles, six different constraint sets","paragraph_ids":["p25","p26"]},{"id":"section-classical","heading":"Classical checks, not an experiment","paragraph_ids":["p27","p28"]},{"id":"section-limitations","heading":"Limitations and the experimental frontier","paragraph_ids":["p29","p30","p31","p32"]}],"pull_quotes":["For one sudden edge change, an entire network enters the work law through a single effective resistance.","The cycle does not squeeze a piston. It rewires the force landscape."],"reading_level":"General science reader - 9 min","source_releases":[{"record_id":"RO-2026-0005","version":"v1.0","digest":"e25885db11945ce0604ff8bd47dc364e125a1c6b412dbd9d179758ad863fcc49"}],"claim_trace":[{"paragraph_id":"p1","classification":"interpretation","claims":["RO-2026-0005:C6"],"evidence":["paper/source/main.tex","figures/fig10_graph_cage.png"]},{"paragraph_id":"p2","classification":"result","claims":["RO-2026-0005:C6"],"evidence":["paper/source/main.tex","figures/fig10_graph_cage.png"]},{"paragraph_id":"p3","classification":"result","claims":["RO-2026-0005:C6"],"evidence":["paper/source/main.tex","claims.yaml"]},{"paragraph_id":"p4","classification":"interpretation","claims":["RO-2026-0005:C1"],"evidence":["literature/literature-audit-v1.0.yaml","paper/source/references.bib"]},{"paragraph_id":"p5","classification":"interpretation","claims":["RO-2026-0005:C1"],"evidence":["literature/literature-audit-v1.0.yaml","paper/source/references.bib"]},{"paragraph_id":"p6","classification":"interpretation","claims":["RO-2026-0005:C2"],"evidence":["literature/literature-audit-v1.0.yaml","paper/source/main.tex"]},{"paragraph_id":"p7","classification":"interpretation","claims":["RO-2026-0005:C4"],"evidence":["literature/literature-audit-v1.0.yaml","paper/source/main.tex"]},{"paragraph_id":"p8","classification":"limitation","claims":["RO-2026-0005:C1","RO-2026-0005:C7"],"evidence":["claims.yaml","paper/source/main.tex"]},{"paragraph_id":"p9","classification":"result","claims":["RO-2026-0005:C2"],"evidence":["claims.yaml","paper/source/main.tex"]},{"paragraph_id":"p10","classification":"interpretation","claims":["RO-2026-0005:C2","RO-2026-0005:C5"],"evidence":["paper/source/main.tex","figures/fig1_universality.png"]},{"paragraph_id":"p11","classification":"result","claims":["RO-2026-0005:C5","RO-2026-0005:C6"],"evidence":["paper/source/main.tex","figures/fig10_graph_cage.png"]},{"paragraph_id":"p12","classification":"analogy","claims":["RO-2026-0005:C5","RO-2026-0005:C6"],"evidence":["paper/source/main.tex"]},{"paragraph_id":"p13","classification":"interpretation","claims":["RO-2026-0005:C5","RO-2026-0005:C6"],"evidence":["paper/source/main.tex"]},{"paragraph_id":"p14","classification":"interpretation","claims":["RO-2026-0005:C6"],"evidence":["paper/source/main.tex"]},{"paragraph_id":"p15","classification":"limitation","claims":["RO-2026-0005:C6"],"evidence":["claims.yaml","paper/source/main.tex"]},{"paragraph_id":"p16","classification":"result","claims":["RO-2026-0005:C6"],"evidence":["paper/source/main.tex","figures/fig10_graph_cage.png"]},{"paragraph_id":"p17","classification":"result","claims":["RO-2026-0005:C6"],"evidence":["paper/source/main.tex","data/validation-summary.json"]},{"paragraph_id":"p18","classification":"interpretation","claims":["RO-2026-0005:C6"],"evidence":["paper/source/main.tex","figures/fig10_graph_cage.png"]},{"paragraph_id":"p19","classification":"result","claims":["RO-2026-0005:C6"],"evidence":["paper/source/main.tex","claims.yaml"]},{"paragraph_id":"p20","classification":"result","claims":["RO-2026-0005:C3"],"evidence":["paper/source/main.tex","figures/fig5_entropy_statistics.png"]},{"paragraph_id":"p21","classification":"result","claims":["RO-2026-0005:C6"],"evidence":["paper/source/main.tex","figures/fig10_graph_cage.png"]},{"paragraph_id":"p22","classification":"result","claims":["RO-2026-0005:C6"],"evidence":["paper/source/main.tex","claims.yaml"]},{"paragraph_id":"p23","classification":"interpretation","claims":["RO-2026-0005:C6"],"evidence":["paper/source/main.tex"]},{"paragraph_id":"p24","classification":"limitation","claims":["RO-2026-0005:C6","RO-2026-0005:C7"],"evidence":["claims.yaml","paper/source/main.tex"]},{"paragraph_id":"p25","classification":"interpretation","claims":["RO-2026-0005:C4"],"evidence":["paper/source/main.tex","figures/fig6_cycle_atlas.png"]},{"paragraph_id":"p26","classification":"limitation","claims":["RO-2026-0005:C4"],"evidence":["claims.yaml","paper/source/main.tex"]},{"paragraph_id":"p27","classification":"result","claims":["RO-2026-0005:C6"],"evidence":["replication/replication-v1.0.yaml","data/validation-summary.json"]},{"paragraph_id":"p28","classification":"result","claims":["RO-2026-0005:C3","RO-2026-0005:C4","RO-2026-0005:C6","RO-2026-0005:C8"],"evidence":["reproduction/reproduction-v1.0.yaml","data/reconstruction-tier1.json"]},{"paragraph_id":"p29","classification":"limitation","claims":["RO-2026-0005:C6"],"evidence":["record.yaml","paper/source/main.tex"]},{"paragraph_id":"p30","classification":"limitation","claims":["RO-2026-0005:C7","RO-2026-0005:C8"],"evidence":["claims.yaml","record.yaml"]},{"paragraph_id":"p31","classification":"analogy","claims":["RO-2026-0005:C6","RO-2026-0005:C7"],"evidence":["paper/source/main.tex"]},{"paragraph_id":"p32","classification":"interpretation","claims":["RO-2026-0005:C1"],"evidence":["CITATION.cff","provenance/pm-credit-v1.0.md","release-manifest.json"]}],"correspondent":{"name":"Correspondent","version":"v0.2","model":"GPT-5","model_snapshot":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AI Ledger v0.2","Correspondent v0.2 hard reader gates","bounded explanatory-journalism benchmark","attested source-figure adaptation"]},"knowledge_boundaries":{"model_knowledge_cutoff":null,"source_release_cutoff":"2026-09-04T16:25:33.246Z"},"artwork":[{"id":"art-hero-thermodynamic-loom","role":"hero","path":"artwork/thermodynamic-loom.png","sha256":"e8276aa6205e5d2755dd6332233fdaaf7187d418c2592956837060276f781559","bytes":2140206,"media_type":"image/png","caption":"A thermodynamic loom draws a final bond between three interacting particles, turning network topology into a control variable between cold and hot reservoirs.","credit":"Original illustration generated for Pudim Physics","license":"CC-BY-4.0","alt_text":"On cream paper, three engraved circular masses form an almost-closed triangle between blue and orange watercolor fields while a shuttle draws the missing lower bond.","provenance":{"source":"Original generated artwork commissioned for STORY-2026-0004, using four prior Pudim Physics Story covers as style references only.","prompt":"Images 1–4 are style references only from the Pudim Physics Story portal. Do not edit, collage, trace, or reproduce their compositions. Extract the shared editorial language: warm cream archival paper, visible watercolor bloom, precise black engraving or drafting lines, restrained burnt orange and deep cobalt, generous quiet space, and a handmade scientific-illustration character.\n\nCreate a brand-new, singular editorial cover illustration for a story about a heat engine that operates by changing the interaction network between particles.\n\nConcept:\nDepict a strange “thermodynamic loom” or abstract drafting instrument, centered on the page. Three small circular masses are held in a triangular constellation by taut fine black threads. One side of the triangle is open. A slim shuttle-like geometric piece is caught in the act of drawing the final orange-and-blue thread across the gap, closing the network. Around the triangle, a few elegant contour lines compress and relax like an energy landscape; on one side they emerge from a cool cobalt watercolor wash, on the other from a warm burnt-orange wash. The machine should feel mathematically plausible yet invented—part Victorian scientific plate, part modern topological diagram—with one memorable silhouette.\n\nVisual style:\nEditorial, cerebral, tactile, idiosyncratic. Fine etched linework, watercolor and dry-brush imperfections, occasional registration marks and tiny unlabeled measurement ticks. Flat or shallow spatial depth, not glossy CGI. Limited palette of parchment, carbon black, cobalt blue, burnt orange, and a trace of muted grey. Let the paper texture and negative space breathe.\n\nComposition:\nWide landscape hero, approximately 16:9. Keep the three masses, open bond, and shuttle entirely within the central 50% of the image. Leave generous cream-paper margins above, below, left, and right so a responsive web crop cannot clip the idea. Strong readability at thumbnail size.\n\nConstraints:\nNo words, no letters, no numbers, no equations, no labels, no logos, no watermark. No neon glow, no cosmic nebula, no photorealism, no glossy 3D spheres, no generic AI fantasy aesthetic, no circuit board, no electrical plug, no literal piston engine. The result must look like an original Pudim editorial plate, not a manuscript figure.","model_or_tool":"OpenAI image generation (model identifier not exposed)","transformations":["Generated as a new crop-safe editorial cover; no paper figure pixels were used."]}},{"id":"art-support-graph-cage-engine","role":"supporting","path":"artwork/graph-cage-engine.png","sha256":"2e3993d8425b6766a2b697ba0ff615d421f18a5e59d441dd49441048e60c926e","bytes":301153,"media_type":"image/png","caption":"The collective graph cage links nonlinear many-particle geometry, exact entropy-production statistics and a two-temperature engine made by inserting and removing one edge.","credit":"Figure from RO-2026-0005 by Maestro v0.1","license":"CC-BY-4.0","alt_text":"Four panels compare collective and separable confinement, show free energy and edge force during triangle closure, plot a long-tailed entropy-production density with a shaded negative sector, and map graph-engine work and efficiency against temperature ratio.","provenance":{"source":"RO-2026-0005 figures/fig10_graph_cage.png","prompt":null,"model_or_tool":"Matplotlib 3.10.8","transformations":["Byte-identical filename-only copy into the Correspondent packet."]}},{"id":"art-support-dimension-growth","role":"supporting","path":"artwork/cycle-atlas.png","sha256":"1aacb1ad35e371193c894f26475d1dd276fd68a024e20647fbe1647282a1050e","bytes":185625,"media_type":"image/png","caption":"Six matched state-space diagrams separate cycle architecture from the variable optimized within each constraint class.","credit":"Figure from RO-2026-0005 by Maestro v0.1","license":"CC-BY-4.0","alt_text":"Six panels show Carnot, Otto, Stirling, Ericsson, Brayton–Joule and smooth-loop cycles, using pink for hot contact, blue for cold contact, amber for isolated motion and a temperature gradient for the smooth cycle.","provenance":{"source":"RO-2026-0005 figures/fig6_cycle_atlas.png","prompt":null,"model_or_tool":"Matplotlib 3.10.8","transformations":["Byte-identical filename-only copy into the Correspondent packet."]}},{"id":"art-support-four-spin","role":"supporting","path":"artwork/entropy-statistics.png","sha256":"6f6c644e5f5c9ef43151607d5013f1872f5f2cc527596bc448d793a2a3096d95","bytes":88094,"media_type":"image/png","caption":"Exact wrong-way heat probabilities and relative current noise reveal how far standard uncertainty bounds can sit below the homogeneous family's true fluctuations.","credit":"Figure from RO-2026-0005 by Maestro v0.1","license":"CC-BY-4.0","alt_text":"Two logarithmic plots show wrong-way heat events becoming rarer as nonequilibrium contrast grows and exact current noise remaining well above standard uncertainty curves.","provenance":{"source":"RO-2026-0005 figures/fig5_entropy_statistics.png","prompt":null,"model_or_tool":"Matplotlib 3.10.8","transformations":["Byte-identical filename-only copy into the Correspondent packet."]}}],"license":"CC BY 4.0","doi":null,"content_digest":"6093d76628614b18f413cc46650ed914e3a642c8f0f9914d092bae30f8962b2e","pm_approval":{"name":"Domingos S. 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