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  • © 2014

Perspectives on Organisms

Biological time, Symmetries and Singularities

  • Provides a novel and genuinely theoretical approach to biology
  • Includes a characterization of 'physical' versus 'biological’ objects
  • Introduces the concept of anti-entropy as a measure for the potential of variability
  • Presents numerous theoretical propositions
  • Written by experts in the field

Part of the book series: Lecture Notes in Morphogenesis (LECTMORPH)

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Table of contents (10 chapters)

  1. Front Matter

    Pages 1-15
  2. Introduction

    • Giuseppe Longo, Maël Montévil
    Pages 1-22
  3. Scaling and Scale Symmetries in Biological Systems

    • Giuseppe Longo, Maël Montévil
    Pages 23-73
  4. A 2-Dimensional Geometry for Biological Time

    • Giuseppe Longo, Maël Montévil
    Pages 75-97
  5. Protention and Retention in Biological Systems

    • Giuseppe Longo, Maël Montévil
    Pages 99-119
  6. Symmetry and Symmetry Breakings in Physics

    • Giuseppe Longo, Maël Montévil
    Pages 121-136
  7. Critical Phase Transitions

    • Giuseppe Longo, Maël Montévil
    Pages 137-160
  8. From Physics to Biology by Extending Criticality and Symmetry Breakings

    • Giuseppe Longo, Maël Montévil
    Pages 161-185
  9. Biological Phase Spaces and Enablement

    • Giuseppe Longo, Maël Montévil
    Pages 187-213
  10. A Philosophical Survey on How We Moved from Physics to Biology

    • Giuseppe Longo, Maël Montévil
    Pages 249-258
  11. Back Matter

    Pages 259-282

About this book

This authored monograph introduces a genuinely theoretical approach to biology. Starting point is the investigation of empirical biological scaling including their variability, which is found in the literature, e.g. allometric relationships, fractals, etc. The book then analyzes two different aspects of biological time: first, a supplementary temporal dimension to accommodate proper biological rhythms; secondly, the concepts of protension and retention as a means of local organization of time in living organisms. Moreover, the book investigates the role of symmetry in biology, in view of its ubiquitous importance in physics. In relation with the notion of extended critical transitions, the book proposes that organisms and their evolution can be characterized by continued symmetry changes, which accounts for the irreducibility of their historicity and variability. The authors also introduce the concept of anti-entropy as a measure for the potential of variability, being equally understood as alterations in symmetry. By this, the book provides a mathematical account of Gould's analysis of phenotypic complexity with respect to biological evolution. The target audience primarily comprises researchers interested in new theoretical approaches to biology, from physical, biological or philosophical backgrounds, but the book may also be beneficial for graduate students who want to enter this field.

Authors and Affiliations

  • Centre Interdisciplinaire Cavaillès (CIRPHLES), CNRS and Ecole Normale Supérieure, Paris, France

    Giuseppe Longo

  • Anatomy and Cell Biology, Tuft University, Boston, USA

    Maël Montévil

Bibliographic Information

Buy it now

Buying options

eBook USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access