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Dynamic Symmetry Across Scales

Balliol College, Oxford – Michaelmas Term 2026


Dynamic Symmetry Across Scales is a hybrid conference at Balliol College, Oxford, convened in partnership between  OXQ and The Schweitzer Institute. It follows directly from the Royal Society seminar Edge of Chaos: Exploring Dynamic Symmetry Theory and the Science of Complexity, held in London on 15 May 2026 (see below).


Both meetings take as their starting point a shared observation: many of the most interesting phenomena in nature, mind and society seem to occur in narrow, shifting bands between rigidity and randomness. The Balliol conference asks whether this “edge of chaos” has a recurring structural form across very different systems – and, if so, how it might be modelled, measured and used.


Where Edge of Chaos introduced dynamic symmetry theory in broad outline, Dynamic Symmetry Across Scales is explicitly designed to be a critical, technically informed follow‑up. Speakers are invited to test, rather than simply adopt, two linked proposals:

  • that many complex systems function best when stabilising processes (maintaining coherence, constraints, norms, architectures) remain tightly coupled to exploratory processes (introducing variability, noise, innovation), rather than one side dominating; and
  • that this balance can sometimes be captured in a domain‑specific way using pairs of order/variation metrics, assembled into a Dynamic Symmetry Index (DSI).



Edge of Chaos: Exploring Dynamic Symmetry Theory and the Science of Complexity

The Royal Society, London – 15 May 2026


Edge of Chaos was the first in this two‑part series, bringing together leading physicists, biologists, ecologists, philosophers and policy thinkers to explore whether there are common structural principles linking living systems, physical processes and human institutions. The focus was on dynamic symmetry theory, the Dynamic Symmetry Index (DSI) and related work on self‑organised criticality, with direct implications for climate risk, health and governance.


Speakers included:

  • Prof Daniela Bortoletto OBE (Head of Particle Physics, University of Oxford)
  • Prof Tim Palmer FRS (Royal Society Research Professor in Climate Physics, University of Oxford)
  • Prof Denis Noble CBE FRS (Emeritus Professor of Cardiovascular Physiology, University of Oxford)
  • Prof Tim Lenton OBE (Chair in Climate Change and Earth System Science; Founding Director, Global Systems Institute, University of Exeter)
  • Prof Gianluca Gregori (Professor of Physics, University of Oxford)
  • Prof Predrag Cicovacki (Professor Emeritus of Philosophy, College of the Holy Cross)
  • Prof Alexander Lvovsky (Professor of Physics, University of Oxford)
  • Gisella Marinuzzi (Associate Director, The Schweitzer Institute)
  • Dr Igor V. Ovchinnikov (UCLA)
  • Benedict Rattigan FRSA (Director, The Schweitzer Institute)


Recordings the Edge of Chaos talks can be viewed below.

Using examples from stars, organisms and minds, Schweitzer Institute Director Benedict Rattigan argues that symmetry in complex systems is best understood as an activity that maintains recognisability under changing conditions, rather than as a static property. He contrasts this dynamic view with the classical notion of symmetry as invariance under transformation, and motivates a formal, testable framework in which patterns of coupling between coherence‑preserving and fluctuation‑generating processes determine where systems lie within, or outside, their viable bands between rigidity and disorder.

Professor Predrag Cicovacki is a philosopher whose work ranges across ethics, meta-physics and the philosophy of culture, with a long‑standing interest in Albert Schweitzer and the ethics of reverence for life. In his paper, ‘Dynamic Symmetry and the Challenge of Being Human’, he explores how dynamic symmetry theory can illuminate the structure of human existence itself: our vertical search for meaning and value, and our horizontal entanglement in history, society and everyday life. Drawing on a wide philosophical and spiritual tradition, he asks whether dynamic symmetry can help us to articulate not only the truth about human beings, but the truth of being human.

Professor Denis Noble CBE FRS is Emeritus Professor of Cardiovascular Physiology at the University of Oxford and a Fellow of the Royal Society. He links dynamic symmetry with biological relativity and multi‑scale causation, arguing that organisms harness molecular randomness in ways that no physical computer can, and uses this to highlight the distinctive freedom and creativity of living systems.

Professor Tim Lenton OBE is Chair in Climate Change and Earth System Science and Founding Director of the Global Systems Institute at the University of Exeter. He examines examples of Earth‑system tipping points, and asks whether negative and positive tipping phenomena can be understood in terms of dynamic symmetry.

Gisella Marinuzzi is a lawyer and Associate Director of the Schweitzer Institute. One of her recent works has been a draft a position paper, making the case for a Governmental Animal Protection Commission in the United Kingdom, which she presented in April 2026 at a seminar in Westminster. In her Royal Society paper, she uses this proposed Commission as a case study to test whether dynamic symmetry theory and the Dynamic Symmetry Index can guide the design of institutions that sit between rigid bureaucracy and episodic activism, with feedback mechanisms and DSI‑style metrics built in from the start.

Benedict Rattigan argues that “dynamic symmetry” is a recurrent structural relation in complex systems, not just a metaphor. Using examples from probability (dice throws), political history (revolution and reaction), cardiac physiology (heartbeat variability), climate dynamics (resilience versus tipping points) and institutional design (bureaucracy and reform), he shows how local variability often underpins larger‑scale order, and how excessive stability or disorder each generate their own breakdown. Across these domains, order and disorder appear as scale‑dependent, mutually generative opposites rather than simple contraries. The recurrence of this pattern across such different materials is proposed as evidence that dynamic symmetry may be a genuine cross‑scale structural principle.

Professor Daniela Bortoletto OBE is Head of Particle Physics at the University of Oxford. She reviews the current status of Higgs boson studies at the Large Hadron Collider, focusing on precision measurements and Higgs pair production, and shows how these data probe the Higgs potential and electroweak symmetry breaking.

Professor Tim Palmer CBE FRS is Royal Society Research Professor in Climate Physics at the University of Oxford. In this paper he uses the Lorenz system to show how ideas of order and chaos underpin ensemble weather prediction and have relevance for other fields, and argues that quantum non‑locality may be understood in terms of the “gappy” structure of the attractor.

Professor Gianluca Gregori is Professor of Physics at the University of Oxford. In his talk, the ‘edge of chaos’ takes on a concrete physical form: his laboratory astro-physics experiments explore regimes in which coherent magnetic structures and turbulent fluctuations must be kept in delicate balance, providing a vivid example of the dynamic symmetry between order and disorder that lies at the heart of the Schweitzer Institute/OXQ ‘Edge of Chaos’ seminar.

Professor Alexander Lvovsky is Professor of Physics at the University of Oxford, and works in quantum optics and the foundations of quantum information. He presents coherent Ising machines as physical systems that harness quantum and chaotic dynamics to solve difficult optimisation problems, offering a clear example of structured behaviour arising from apparently disordered processes.

Dr Igor V. Ovchinnikov is a theoretical physicist at UCLA whose work focuses on stochastic dynamics, chaos and topological methods in dynamical systems. He describes how, in the supersymmetric theory of stochastic dynamics, an edge‑of‑chaos phase dominated by noise‑induced instantons constitutes a distinct form of chaos, and he explores how this more rigorous picture of phase structure and order parameters may both support and constrain phenomenological tools such as the Dynamic Symmetry Index.

Rattigan's concluding paper defines dynamic symmetry as the shifting balance between stabilising order and exploratory disorder that enables systems to survive and adapt. The notion of symmetry is broadened from mere invariance to patterned interplay between stability and fluctuation, requiring an intellectual shift from dissolving paradox to interpreting structured tensions. Two speculative applications—relating quantum field theory to general relativity, and rethinking arrows of time in physical, biological and institutional systems—illustrate where a Dynamic Symmetry Index might gain explanatory force, and the paper calls for making the framework precise, measurable and falsifiable.

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