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49 results on '"Nottale, L."'

1. Numerical simulation of a macroscopic quantum-like experiment: oscillating wave packet

Author

Nottale, L. and Lehner, T.

Subjects
Quantum Physics
Abstract

We simulate the transformation of a classical fluid into a quantum-like (super)-fluid by the application of a generalized quantum potential through a retro-active loop. This numerical experiment is exemplified in the case of a non-spreading oscillating wave packet in a harmonic potential. We find signatures of a quantum-like behavior which are stable against various perturbations., Comment: 14 pages, 7 figures

Published
2006

2. Gauge field theory in scale relativity

Author

Nottale, L., Celerier, M. N., and Lehner, T.

Subjects
High Energy Physics - Theory
Abstract

The aim of the present article is to give physical meaning to the ingredients of standard gauge field theory in the framework of the scale relativity theory. Owing to the principle of the relativity of scales, the scale-space is not absolute. Therefore, the scale variables are functions of the space-time coordinates, so that we expect a coupling between the displacement in space-time and the dilation/contraction of the scale variables, which are identified with gauge transformations. The gauge fields naturally appear as a new geometric contribution to the total variation of the scale variables. The gauge charges emerge as the generators of the scale transformation group applied to a generalized action (now identified with the scale relativistic invariant) and are therefore the conservative quantities which find their origin in the symmetries of the scale-space. We recover the expression for the covariant derivative of non-Abelian gauge theory. Under the gauge transformations, the fermion multiplets and the boson field transform in such a way that the Lagrangian, which is here derived instead of being set as a founding axiom, remains invariant. We have therefore obtained gauge theories as a consequence of scale symmetries issued from a geometric fractal space-time description, which we apply to peculiar examples of the electroweak and grand unified theories., Comment: 17 pages, 1 figure

Published
2003

5. COVID-19 and beyond : a call for action and audacious solidarity to all the citizens and nations, it is humanity’s fight

Author

Auffray, C., Balling, R., Blomberg, N., Bonaldo, M. C., Boutron, B., Brahmachari, S., Bréchot, C., Cesario, A., Chen, S. -J, Clément, K., Danilenko, D., Meglio, A. D., Gelemanović, A., Goble, C., Gojobori, T., Goldman, J. D., Goldman, M., Guo, Y. -K, Heath, J., Hood, L., Hunter, P., Jin, L., Kitano, H., Knoppers, B., Lancet, D., Larue, C., Lathrop, M., Laville, M., Lindner, A. B., Magnan, A., Metspalu, A., Morin, E., Ng, L. F. P., Nicod, L., Noble, D., Nottale, L., Nowotny, H., Ochoa, T., Okeke, I. N., Oni, T., Openshaw, P., Oztürk, M., Palkonen, S., Paweska, J. T., Pison, C., Polymeropoulos, M. H., Pristipino, C., Protzer, U., Roca, J., Rozman, D., Santolini, M., Sanz, F., Scambia, G., Segal, E., Serageldin, I., Soares, M. B., Sterk, P., Sugano, S., Superti-Furga, G., Supple, D., Tegner, J., Uhlén, Mathias, Urbani, A., Valencia, A., Valentini, V., van der Werf, S., Vinciguerra, M., Wolkenhauer, O., Wouters, E., Auffray, C., Balling, R., Blomberg, N., Bonaldo, M. C., Boutron, B., Brahmachari, S., Bréchot, C., Cesario, A., Chen, S. -J, Clément, K., Danilenko, D., Meglio, A. D., Gelemanović, A., Goble, C., Gojobori, T., Goldman, J. D., Goldman, M., Guo, Y. -K, Heath, J., Hood, L., Hunter, P., Jin, L., Kitano, H., Knoppers, B., Lancet, D., Larue, C., Lathrop, M., Laville, M., Lindner, A. B., Magnan, A., Metspalu, A., Morin, E., Ng, L. F. P., Nicod, L., Noble, D., Nottale, L., Nowotny, H., Ochoa, T., Okeke, I. N., Oni, T., Openshaw, P., Oztürk, M., Palkonen, S., Paweska, J. T., Pison, C., Polymeropoulos, M. H., Pristipino, C., Protzer, U., Roca, J., Rozman, D., Santolini, M., Sanz, F., Scambia, G., Segal, E., Serageldin, I., Soares, M. B., Sterk, P., Sugano, S., Superti-Furga, G., Supple, D., Tegner, J., Uhlén, Mathias, Urbani, A., Valencia, A., Valentini, V., van der Werf, S., Vinciguerra, M., Wolkenhauer, O., and Wouters, E.

Abstract

Background: Severe acute respiratory syndrome coronavirus 2 (SARSCoV-2) belongs to a subgroup of coronaviruses rampant in bats for centuries. It caused the coronavirus disease 2019 (COVID-19) pandemic. Most patients recover, but a minority of severe cases experience acute respiratory distress or an inflammatory storm devastating many organs that can lead to patient death. The spread of SARS-CoV-2 was facilitated by the increasing intensity of air travel, urban congestion and human contact during the past decades. Until therapies and vaccines are available, tests for virus exposure, confinement and distancing measures have helped curb the pandemic. Vision: The COVID-19 pandemic calls for safeguards and remediation measures through a systemic response. Self-organizing initiatives by scientists and citizens are developing an advanced collective intelligence response to the coronavirus crisis. Their integration forms Olympiads of Solidarity and Health. Their ability to optimize our response to COVID-19 could serve as a model to trigger a global metamorphosis of our societies with far-reaching consequences for attacking fundamental challenges facing humanity in the 21st century. Mission: For COVID-19 and these other challenges, there is no alternative but action. Meeting in Paris in 2003, we set out to "rethink research to understand life and improve health." We have formed an international coalition of academia and industry ecosystems taking a systems medicine approach to understanding COVID-19 by thoroughly characterizing viruses, patients and populations during the pandemic, using openly shared tools. All results will be publicly available with no initial claims for intellectual property rights. This World Alliance for Health and Wellbeing will catalyze the creation of medical and health products such as diagnostic tests, drugs and vaccines that become common goods accessible to all, while seeking further alliances with civil society to bridge with socio-ecological an, QC 20220519

Published
2020
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10. Quelle stratégie d’observation et de modélisation pour l’étude des crues rapides

Author

Branger, Frédéric, Braud, Isabelle, Debionne, S., Viallet, P., Dehotin, J., Hénine, H., Nédélec, Y., Anquetin, Sandrine, Ayral, P.A., Bouvier, Christophe, Delrieu, G., Le Coz, Mathieu, Nord, J., Vandervaere, J-P, Adamovic, Marko, Carreau, Julie, Confoland, A., Didon-Lescot, J.F., Domergue, J.M., DOUVINET, Johnny, Dramais, G., Freydier, R., Gérard, S., Huza, J., Leblois, E., Le Bourgeois, Olivier, Le Boursicaud, R., Marchand, Pierre, Martin, P., Nottale, L., Patris, N., Renard, B., Seidel, J.L., Taupin, J.D., Vannier, O., Vincendon, B., Wijbrans, A., centre international de recherche sur l'environnement et le développement (CIRED), Centre National de la Recherche Scientifique (CNRS)-École des Ponts ParisTech (ENPC)-École des hautes études en sciences sociales (EHESS)-AgroParisTech-Centre de Coopération Internationale en Recherche Agronomique pour le Développement (Cirad), Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA), Hydrologie-Hydraulique (UR HHLY), Hydrosystèmes et Bioprocédés (UR HBAN), Institut des Géosciences de l’Environnement (IGE), Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut de Recherche pour le Développement (IRD)-Université Grenoble Alpes [2016-2019] (UGA [2016-2019]), Laboratoire de Génie de l'Environnement Industriel (LGEI), IMT - MINES ALES (IMT - MINES ALES), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), Hydrosciences Montpellier (HSM), Institut national des sciences de l'Univers (INSU - CNRS)-Institut de Recherche pour le Développement (IRD)-Université Montpellier 2 - Sciences et Techniques (UM2)-Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS), Études des Structures, des Processus d’Adaptation et des Changements de l’Espace (ESPACE), Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Avignon Université (AU)-Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS), Laboratoire des Mécanismes et Transfert en Géologie (LMTG), Université Toulouse III - Paul Sabatier (UT3), Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Observatoire Midi-Pyrénées (OMP), Météo France-Centre National d'Études Spatiales [Toulouse] (CNES)-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)-Institut de Recherche pour le Développement (IRD)-Météo France-Centre National d'Études Spatiales [Toulouse] (CNES)-Centre National de la Recherche Scientifique (CNRS)-Institut de Recherche pour le Développement (IRD)-Centre National de la Recherche Scientifique (CNRS), Observatoire de Paris - Site de Meudon (OBSPM), Observatoire de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS), Laboratoire d'étude des transferts en hydrologie et environnement (LTHE), Institut National Polytechnique de Grenoble (INPG)-Centre National de la Recherche Scientifique (CNRS)-Observatoire des Sciences de l'Univers de Grenoble (OSUG), Centre National de la Recherche Scientifique (CNRS)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA)-Institut national des sciences de l'Univers (INSU - CNRS)-Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry])-Centre National de la Recherche Scientifique (CNRS)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA)-Institut national des sciences de l'Univers (INSU - CNRS)-Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry]), Groupe d'étude de l'atmosphère météorologique (CNRM-GAME), Institut national des sciences de l'Univers (INSU - CNRS)-Météo France-Centre National de la Recherche Scientifique (CNRS), Centre de Coopération Internationale en Recherche Agronomique pour le Développement (Cirad)-École des hautes études en sciences sociales (EHESS)-AgroParisTech-École des Ponts ParisTech (ENPC)-Centre National de la Recherche Scientifique (CNRS), Institut de Recherche pour le Développement (IRD)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes [2016-2019] (UGA [2016-2019]), Institut de Recherche pour le Développement (IRD)-Institut national des sciences de l'Univers (INSU - CNRS)-Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS), Université Nice Sophia Antipolis (1965 - 2019) (UNS), Université de Toulouse (UT)-Université de Toulouse (UT)-Observatoire Midi-Pyrénées (OMP), Institut de Recherche pour le Développement (IRD)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National d'Études Spatiales [Toulouse] (CNES)-Centre National de la Recherche Scientifique (CNRS)-Météo-France -Institut de Recherche pour le Développement (IRD)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National d'Études Spatiales [Toulouse] (CNES)-Centre National de la Recherche Scientifique (CNRS)-Météo-France -Centre National de la Recherche Scientifique (CNRS), Observatoire des Sciences de l'Univers de Grenoble (OSUG), Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut national des sciences de l'Univers (INSU - CNRS)-Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA)-Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry])-Centre National de la Recherche Scientifique (CNRS)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut national des sciences de l'Univers (INSU - CNRS)-Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA)-Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry])-Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique de Grenoble (INPG)-Centre National de la Recherche Scientifique (CNRS), Centre national de recherches météorologiques (CNRM), Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire Midi-Pyrénées (OMP), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National d'Études Spatiales [Toulouse] (CNES)-Centre National de la Recherche Scientifique (CNRS)-Météo-France -Institut de Recherche pour le Développement (IRD)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National d'Études Spatiales [Toulouse] (CNES)-Centre National de la Recherche Scientifique (CNRS)-Météo-France -Centre National de la Recherche Scientifique (CNRS), Centre International de Recherche sur l'Environnement et le Développement (CIRED), Centre National de la Recherche Scientifique (CNRS)-École des Ponts ParisTech (ENPC)-Centre de Coopération Internationale en Recherche Agronomique pour le Développement (Cirad)-École des hautes études en sciences sociales (EHESS)-AgroParisTech, Hydrosystèmes et bioprocédés (UR HBAN), Institut de Recherche pour le Développement (IRD)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA), Institut de Recherche pour le Développement (IRD)-Université Montpellier 2 - Sciences et Techniques (UM2)-Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS), Université Côte d'Azur (UCA)-Université Côte d'Azur (UCA)-Avignon Université (AU)-Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS), Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS), PSL Research University (PSL)-PSL Research University (PSL)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Institut National Polytechnique de Grenoble (INPG)-Institut national des sciences de l'Univers (INSU - CNRS)-Université Joseph Fourier - Grenoble 1 (UJF)-Observatoire des Sciences de l'Univers de Grenoble (OSUG), and Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry])-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP)-Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry])-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP)-Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)

Subjects
[SDU.STU]Sciences of the Universe [physics]/Earth Sciences, [SDU.STU.HY]Sciences of the Universe [physics]/Earth Sciences/Hydrology, [SDU.STU.ME]Sciences of the Universe [physics]/Earth Sciences/Meteorology
Abstract

Observation et modélisation hydro-météorologique multi-échelle pour la compréhension et la simulation des crues éclairs. Quels apports pour les gestionnaires de territoires et les fournisseurs de services?; International audience; Chaque année, spécialement à l’automne, des épisodes pluvieux intenses, dits Méditerranéens, affectent les départements du sud de la France. Ces épisodes, conduisant à des cumuls de pluie importants (quelques centaines de mm en quelques heures ou quelques jours). La figure de la diapo 1, tirée du site de Météo-France ;présente le nombre d’épisodes par an avec un cumul de pluie >150mm /jour et on voit que les départements du sud de la France, principalement le Gard, l’Ardèche et l’Hérault sont les départements les plus affectés. Ces épisodes de pluie conduisent souvent à des crues rapides, parfois dévastatrices. Les exemples récents incluent Nîmes en 1988, Vaison la Romaine en 1992, l’Aude en 1999, le Gard en 2002, le Var en 2010 ou les Alpes Maritimes en 2015, sans oublier la dizaine d’épisodes ayant affecté le sud de la France en 2014. Les conséquences de ces crues sont des submersions de bâtiments, mais aussi des coupures de route sur des petits cours d’eau coupant le réseau hydrographique. L’analyse des victimes de la crue de septembre 2002 dans le Gard a ainsi montré qu’environ la moitié des victimes, plutôt jeunes, avaient péri sur des petits bassins de taille 1000 km (Ruin et al., 2008). Sur les petits bassins, il y a très peu d’informations car, en France, la majorité des stations hydrométriques concernent des bassins de plus de 50 km et l’alerte hydrologique (Vigicrues) concerne les cours d’eau principaux.

Published
2015

11. Fractality Field in the Theory of Scale Relativity

Author

Nottale L.

Subjects
lcsh:Physics, lcsh:QC1-999
Abstract

In the theory of scale relativity, space-time is considered to be a continuum that is not only curved, but also non-differentiable, and, as a consequence, fractal. The equation of geodesics in such a space-time can be integrated in terms of quantum mechanical equations. We show in this paper that the quantum potential is a manifestation of such a fractality of space-time (in analogy with Newton’s potential being a manifestation of curvature in the framework of general relativity).

Published
2005

13. Observation et modélisation hydrométéorologique multi-échelles pour la compréhension des crues rapides

Author

Braud, I., Ayral, P.A., Bouvier, C., Branger, F., Delrieu, G., Le Coz, J., Nord, G., Vandervaere, J.P., Anquetin, S., Adamovic, M., Andrieu, J., Batiot-Guilhe, Christelle, Boudevillain, B., Brunet, P., Carreau, J., Confoland, A., F, Didon Lescot J, Domergue, J.M., DOUVINET, Johnny, Dramais, G., Freydier, R., Gérard, S., Huza, J., Leblois, E., Le Bourgeois, O., Le Boursicaud, R., Marchand, P., Martin, P., Nottale, L., Patris, N., Renard, B., Seidel, J.L., Taupin, J.D., Vannier, O., Vincendon, B., Wijbrans, A., Hydrologie-Hydraulique (UR HHLY), Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA), IMT - MINES ALES (IMT - MINES ALES), Institut Mines-Télécom [Paris] (IMT), Hydrosciences Montpellier (HSM), Institut de Recherche pour le Développement (IRD)-Université Montpellier 2 - Sciences et Techniques (UM2)-Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire d'étude des transferts en hydrologie et environnement, Université Joseph Fourier - Grenoble 1 (UJF)-Institut de Recherche pour le Développement (IRD)-Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire des Sciences de l'Univers de Grenoble-Institut National Polytechnique de Grenoble (INPG)-Centre National de la Recherche Scientifique (CNRS), Études des Structures, des Processus d’Adaptation et des Changements de l’Espace (ESPACE), Université Nice Sophia Antipolis (... - 2019) (UNS), Université Côte d'Azur (UCA)-Université Côte d'Azur (UCA)-Avignon Université (AU)-Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS), Université Joseph Fourier - Grenoble 1 (UJF)-Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire des Sciences de l'Univers de Grenoble-Institut National Polytechnique de Grenoble (INPG)-Institut de recherche pour le développement IRD-Centre National de la Recherche Scientifique (CNRS), Observatoire de Paris - Site de Meudon (OBSPM), Observatoire de Paris, PSL Research University (PSL)-PSL Research University (PSL)-Centre National de la Recherche Scientifique (CNRS), Groupe d'étude de l'atmosphère météorologique (CNRM-GAME), Institut national des sciences de l'Univers (INSU - CNRS)-Météo France-Centre National de la Recherche Scientifique (CNRS), Institut national des sciences de l'Univers (INSU - CNRS)-Institut de Recherche pour le Développement (IRD)-Université Montpellier 2 - Sciences et Techniques (UM2)-Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Avignon Université (AU)-Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS), Laboratoire Univers et Théories (LUTH (UMR_8102)), Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire de Paris, and Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Diderot - Paris 7 (UPD7)

Subjects
[PHYS]Physics [physics], [SDE]Environmental Sciences, HYDROMETEOROLOGY, ANALYSE MULTI-ECHELLE, [PHYS.ASTR]Physics [physics]/Astrophysics [astro-ph], CRUE SOUDAINE, ComputingMilieux_MISCELLANEOUS, HYDROMETEOROLOGIE
Abstract

International audience; This paper presents a coupled observation and modelling strategy aiming at improving the understanding of processes triggering flash floods. This strategy is illustrated for the Mediterranean area using two French catchments (Gard and Ardèche) larger than 2000 km2. The approach is based on the monitoring of nested spatial scales: (1) the hillslope scale, where processes influencing the runoff generation and its concentration can be tackled; (2) the small to medium catchment scale (1–100 km2), where the impact of the network structure and of the spatial variability of rainfall, landscape and initial soil moisture can be quantified; (3) the larger scale (100–1000 km2), where the river routing and flooding processes become important. These observations are part of the HyMeX (HYdrological cycle in the Mediterranean EXperiment) enhanced observation period (EOP), which will last 4 years (2012–2015). In terms of hydrological modelling, the objective is to set up regional-scale models, while addressing small and generally ungauged catchments, which represent the scale of interest for flood risk assessment. Topdown and bottom-up approaches are combined and the models are used as “hypothesis testing” tools by coupling model development with data analyses in order to incrementally evaluate the validity of model hypotheses. The paper first presents the rationale behind the experimental set-up and the instrumentation itself. Second, we discuss the associated modelling strategy. Results illustrate the potential of the approach in advancing our understanding of flash flood processes on various scales.

Published
2014

14. Multi-scale hydrometeorological observation and modelling for flash flood understanding

Author

Braud, I., Ayral, P. A., Bouvier, C., Branger, F., Delrieu, G., Le Coz, J., Nord, G., Vandervaere, J. P., Anquetin, S., Adamovic, M., Andrieu, J., Batiot, C., Boudevillain, B., Brunet, P., Carreau, Julie, Confoland, A., Didon-Lescot, J. F., Domergue, J. M., Douvinet, J., Dramais, G., Freydier, R., Gérard, S., Huza, J., Leblois, E., Le Bourgeois, O., Le Boursicaud, R., Marchand, P., Martin, P., Nottale, L., Patris, N., Renard, B., Seidel, J. L., Taupin, J. D., Vannier, O., Vincendon, B., Wijbrans, A., Braud, I., Ayral, P. A., Bouvier, C., Branger, F., Delrieu, G., Le Coz, J., Nord, G., Vandervaere, J. P., Anquetin, S., Adamovic, M., Andrieu, J., Batiot, C., Boudevillain, B., Brunet, P., Carreau, Julie, Confoland, A., Didon-Lescot, J. F., Domergue, J. M., Douvinet, J., Dramais, G., Freydier, R., Gérard, S., Huza, J., Leblois, E., Le Bourgeois, O., Le Boursicaud, R., Marchand, P., Martin, P., Nottale, L., Patris, N., Renard, B., Seidel, J. L., Taupin, J. D., Vannier, O., Vincendon, B., and Wijbrans, A.

Published
2014

17. Distribution of semi-major axes and eccentricities of exoplanets in scale relativity

Author

Galopeau, Patrick H. M., Nottale, L., Ceccolini, D., Da Rocha, D., Centre d'étude des environnements terrestre et planétaires (CETP), and Université de Versailles Saint-Quentin-en-Yvelines (UVSQ)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)

Subjects
[PHYS.ASTR.CO]Physics [physics]/Astrophysics [astro-ph]/Cosmology and Extra-Galactic Astrophysics [astro-ph.CO], [SDU.ASTR]Sciences of the Universe [physics]/Astrophysics [astro-ph]
Published
2005

18. Distribution of orbital elements of planets and exoplanets in scale relativity

Author

Galopeau, Patrick H. M., Nottale, L., Ceccolini, D., Da Rocha, D., Schumacher, G., Tran-Minh, N., Centre d'étude des environnements terrestre et planétaires (CETP), Université de Versailles Saint-Quentin-en-Yvelines (UVSQ)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS), F. Combes, D. Barret, T. Contini, and F. Meynardier et L. Pagani

Subjects
[PHYS.ASTR.CO]Physics [physics]/Astrophysics [astro-ph]/Cosmology and Extra-Galactic Astrophysics [astro-ph.CO], [SDU.ASTR]Sciences of the Universe [physics]/Astrophysics [astro-ph], [PHYS.PHYS.PHYS-PLASM-PH]Physics [physics]/Physics [physics]/Plasma Physics [physics.plasm-ph], [PHYS.PHYS.PHYS-SPACE-PH]Physics [physics]/Physics [physics]/Space Physics [physics.space-ph]
Published
2004

19. Structuring of the semimajor axis and eccentricity distributions of exoplanets

Author

Nottale, L., Galopeau, Patrick H. M., Ceccolini, D., Da Rocha, D., Schumacher, G., Tran-Minh., N., Centre d'étude des environnements terrestre et planétaires (CETP), Université de Versailles Saint-Quentin-en-Yvelines (UVSQ)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS), Jean-Philippe Beaulieu, Alain Lecavelier des Etangs, and and Caroline Terquem

Subjects
[PHYS.ASTR.CO]Physics [physics]/Astrophysics [astro-ph]/Cosmology and Extra-Galactic Astrophysics [astro-ph.CO], [SDU.ASTR]Sciences of the Universe [physics]/Astrophysics [astro-ph], ComputingMilieux_MISCELLANEOUS
Abstract

International audience

Published
2004

20. Structuring of the semi-major axis and eccentricity distributions of exoplanets

Author

Nottale, L., Galopeau, Patrick H. M., Ceccolini, D., Da Rocha, D., Schumacher, G., Tran-Minh, N., Centre d'étude des environnements terrestre et planétaires (CETP), and Université de Versailles Saint-Quentin-en-Yvelines (UVSQ)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)

Subjects
[PHYS.PHYS.PHYS-PLASM-PH]Physics [physics]/Physics [physics]/Plasma Physics [physics.plasm-ph], [PHYS.PHYS.PHYS-SPACE-PH]Physics [physics]/Physics [physics]/Space Physics [physics.space-ph]
Published
2004

21. Multi-scale hydrometeorological observation and modelling for flash flood understanding

Author

Braud, I., primary, Ayral, P.-A., additional, Bouvier, C., additional, Branger, F., additional, Delrieu, G., additional, Le Coz, J., additional, Nord, G., additional, Vandervaere, J.-P., additional, Anquetin, S., additional, Adamovic, M., additional, Andrieu, J., additional, Batiot, C., additional, Boudevillain, B., additional, Brunet, P., additional, Carreau, J., additional, Confoland, A., additional, Didon-Lescot, J.-F., additional, Domergue, J.-M., additional, Douvinet, J., additional, Dramais, G., additional, Freydier, R., additional, Gérard, S., additional, Huza, J., additional, Leblois, E., additional, Le Bourgeois, O., additional, Le Boursicaud, R., additional, Marchand, P., additional, Martin, P., additional, Nottale, L., additional, Patris, N., additional, Renard, B., additional, Seidel, J.-L., additional, Taupin, J.-D., additional, Vannier, O., additional, Vincendon, B., additional, and Wijbrans, A., additional

Published
2014
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22. Les espaces de l'halieutique

Author

Nottale, L., Gascuel, D. (ed.), Chavance, Pierre (ed.), Bez, N. (ed.), and Biseau, A. (ed.)

Subjects
AUTOORGANISATION, ETUDE THEORIQUE, DYNAMIQUE DE POPULATION, ECHELLE LIMNIMETRIQUE, MECANIQUE QUANTIQUE, ANALYSE MATHEMATIQUE, RELATIVITE D'ECHELLE, FRACTAL
Abstract

On montre que sous les trois hypothèses suivantes, (i) très grand nombre de trajectoires virtuelles, (ii) chaque trajectoire est fractale, (iii) irréversibilité microscopique, l'équation de la dynamique classique peut s'intégrer sous forme d'une équation de Schröedinger généralisée. Ceci conduit à proposer une nouvelle méthode d'approche des problèmes de morphogenèse, dans laquelle des structures hiéarchiques sont naturellement produites (en dépendance des conditions aux limites et des forces en présence) et sont décrites en terme de densité de probabilité. Un exemple d'application est donné dans le cas où la force appliquée est celle d'un oscillateur harmonique. (Résumé d'auteur)

Published
2000

31. Profiles of a Key Programme: Gravitational Lensing

Author

Surdej, J., Arnaud, J., Borgeest, U., Djorgovski, S., Fleischmann, F., Hammer, F., Hutsemékers, D., Kayser, R., Le Fevre, O., Nottale, L., Magain, P., Meylan, G., Refsdal, S., Remy, M., Shaver, P., Smette, A., Swings, J. P., Vanderriest, C., van Drom, E., Véron-Cetty, M., Véron, P., and Weigelt, G.

Abstract

Prior to Professor van der Laan's enquiry, in the March 1988 issue of the Messenger, on the general interest among astronomers from the European community to possibly participate in Key Programmes (KPs) at the European 80uthern Observatory, at least three distinct groups (including more than half of the above authors) were already involved in the study of "gravitational lensing" effects (see box on pages 10-11). Observations were being performed with the help of various telescopes on La 8illa as weil as at other observatories (VLA, CFHT, Palomar, Kitt Peak, etc.).

Published
1989

44. New insights into the physical processes that underpin cell division and the emergence of different cellular and multicellular structures.

Author

Turner P, Nottale L, Zhao J, and Pesquet E

Subjects
Barium chemistry, Benzyl Compounds chemistry, Carbonates chemistry, Cell Division, Computer Simulation, Diffusion, Gibberellins chemistry, Models, Biological, Purines chemistry, Quantum Theory, Silicon Dioxide chemistry, Solvents chemistry, Biomimetic Materials chemistry, Cells chemistry, Cells ultrastructure
Abstract

Despite decades of focused research, a detailed understanding of the fundamental physical processes that underpin biological systems (structures and processes) remains an open challenge. Within the present paper we report on biomimetic studies, which offer new insights into the process of cell division and the emergence of different cellular and multicellular structures. Experimental studies specifically investigated the impact of including different concentrations of charged bio-molecules (cytokinin and gibberellic acid) on the growth of BaCO 3 -SiO 2 based structures. Results highlighted the role of charge density on the emergence of long-range order, underpinned by a negentropic process. This included the growth of synthetic cell-like structures, with the intrinsic capacity to divide and change morphology at cellular and multicellular scales. Detailed study of dividing structures supports a hypothesis that cell division is dependent on the establishment of a charge-induced macroscopic quantum potential and cell-scale quantum coherence, which allows a description in terms of a macroscopic Schrödinger-like equation, based on a constant different from the Planck constant. Whilst the system does not reflect full correspondence with standard quantum mechanics, many of the phenomena that we typically associate with such a system are recovered. In addition to phenomena normally associated with the Schrödinger equation, we also unexpectedly report on the emergence of intrinsic spin as a macroscopic quantum phenomena, whose origins we account for within a four-dimensional fractal space-time and a macroscopic Pauli equation, which represents the non-relativistic limit of the Dirac equation., (Copyright © 2019 Elsevier Ltd. All rights reserved.)

Published
2020
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45. The physical principles underpinning self-organization in plants.

Author

Turner P and Nottale L

Subjects
Quantum Theory, Biophysical Phenomena, Plants metabolism
Abstract

Based on laboratory based growth of plant-like structures from inorganic materials, we present new theory for the emergence of plant structure at a range of scales dictated by levels of ionization, which can be traced directly back to proteins transcribed from genetic code and their interaction with external sources of charge in real plants. Beyond a critical percolation threshold, individual charge induced quantum potentials merge to form a complex, interconnected geometric web, creating macroscopic quantum potentials, which lead to the emergence of macroscopic quantum processes. The assembly of molecules into larger, ordered structures operates within these charge-induced coherent bosonic fields, acting as a structuring force in competition with exterior potentials. Within these processes many of the phenomena associated with standard quantum theory are recovered, including quantization, non-dissipation, self-organization, confinement, structuration conditioned by the environment, environmental fluctuations leading to macroscopic quantum decoherence and evolutionary time described by a time dependent Schrödinger-like equation, which describes models of bifurcation and duplication. The work provides a strong case for the existence of quintessence-like behaviour, with macroscopic quantum potentials and associated forces having their equivalence in standard quantum mechanics. The theory offers new insight into evolutionary processes in structural biology, with selection at any point in time, being made from a wide range of spontaneously emerging potential structures (dependent on conditions), which offer advantage for a specific organism. This is valid for both the emergence of structures from a prebiotic medium and the wide range of different plant structures we see today., (Copyright © 2016 Elsevier Ltd. All rights reserved.)

Published
2017
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46. Macroscopic quantum-type potentials in theoretical systems biology.

Author

Nottale L

Abstract

We review in this paper the use of the theory of scale relativity and fractal space-time as a tool particularly well adapted to the possible development of a future genuine systems theoretical biology. We emphasize in particular the concept of quantum-type potentials, since, in many situations, the effect of the fractality of space-or of the underlying medium-can be reduced to the addition of such a potential energy to the classical equations of motion. Various equivalent representations-geodesic, quantum-like, fluid mechanical, stochastic-of these equations are given, as well as several forms of generalized quantum potentials. Examples of their possible intervention in high critical temperature superconductivity and in turbulence are also described, since some biological processes may be similar in some aspects to these physical phenomena. These potential extra energy contributions could have emerged in biology from the very fractal nature of the medium, or from an evolutive advantage, since they involve spontaneous properties of self-organization, morphogenesis, structuration and multi-scale integration. Finally, some examples of applications of the theory to actual biological-like processes and functions are also provided.

Published
2013
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47. Scale relativity theory and integrative systems biology: 2. Macroscopic quantum-type mechanics.

Author

Nottale L and Auffray C

Subjects
Computer Simulation, Algorithms, Mechanics, Models, Biological, Numerical Analysis, Computer-Assisted, Quantum Theory, Systems Biology methods
Abstract

In these two companion papers, we provide an overview and a brief history of the multiple roots, current developments and recent advances of integrative systems biology and identify multiscale integration as its grand challenge. Then we introduce the fundamental principles and the successive steps that have been followed in the construction of the scale relativity theory, which aims at describing the effects of a non-differentiable and fractal (i.e., explicitly scale dependent) geometry of space-time. The first paper of this series was devoted, in this new framework, to the construction from first principles of scale laws of increasing complexity, and to the discussion of some tentative applications of these laws to biological systems. In this second review and perspective paper, we describe the effects induced by the internal fractal structures of trajectories on motion in standard space. Their main consequence is the transformation of classical dynamics into a generalized, quantum-like self-organized dynamics. A Schrödinger-type equation is derived as an integral of the geodesic equation in a fractal space. We then indicate how gauge fields can be constructed from a geometric re-interpretation of gauge transformations as scale transformations in fractal space-time. Finally, we introduce a new tentative development of the theory, in which quantum laws would hold also in scale space, introducing complexergy as a measure of organizational complexity. Initial possible applications of this extended framework to the processes of morphogenesis and the emergence of prokaryotic and eukaryotic cellular structures are discussed. Having founded elements of the evolutionary, developmental, biochemical and cellular theories on the first principles of scale relativity theory, we introduce proposals for the construction of an integrative theory of life and for the design and implementation of novel macroscopic quantum-type experiments and devices, and discuss their potential applications for the analysis, engineering and management of physical and biological systems and properties, and the consequences for the organization of transdisciplinary research and the scientific curriculum in the context of the SYSTEMOSCOPE Consortium research and development agenda.

Published
2008
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48. Scale relativity theory and integrative systems biology: 1. Founding principles and scale laws.

Author

Auffray C and Nottale L

Subjects
Computer Simulation, Algorithms, Models, Biological, Numerical Analysis, Computer-Assisted, Systems Biology methods
Abstract

In these two companion papers, we provide an overview and a brief history of the multiple roots, current developments and recent advances of integrative systems biology and identify multiscale integration as its grand challenge. Then we introduce the fundamental principles and the successive steps that have been followed in the construction of the scale relativity theory, and discuss how scale laws of increasing complexity can be used to model and understand the behaviour of complex biological systems. In scale relativity theory, the geometry of space is considered to be continuous but non-differentiable, therefore fractal (i.e., explicitly scale-dependent). One writes the equations of motion in such a space as geodesics equations, under the constraint of the principle of relativity of all scales in nature. To this purpose, covariant derivatives are constructed that implement the various effects of the non-differentiable and fractal geometry. In this first review paper, the scale laws that describe the new dependence on resolutions of physical quantities are obtained as solutions of differential equations acting in the scale space. This leads to several possible levels of description for these laws, from the simplest scale invariant laws to generalized laws with variable fractal dimensions. Initial applications of these laws to the study of species evolution, embryogenesis and cell confinement are discussed.

Published
2008
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49. [Human development and log-periodic law].

Author

Cash R, Chaline J, Nottale L, and Grou P

Subjects
Commerce, Culture, Economics, Fractals, Humans, Models, Biological, Social Change, Social Conditions, Biological Evolution, Disasters
Abstract

We suggest applying the log-periodic law formerly used to describe various crisis phenomena, in biology (evolutionary leaps), inorganic systems (earthquakes), societies and economy (economic crisis, market crashes) to the various steps of human ontogeny. We find a statistically significant agreement between this model and the data.

Published
2002
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