Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Projective Mechanisms Subtending Real World Phenomena Wipe Away Cause Effect Relationships

Version 1 : Received: 13 May 2019 / Approved: 15 May 2019 / Online: 15 May 2019 (10:36:03 CEST)

A peer-reviewed article of this Preprint also exists.

Tozzi A, Papo D. 2019. Projective mechanisms subtending real world phenomena wipe away cause effect relationships. Progress in Biophysics and Molecular Biology. https://doi.org/10.1016/j.pbiomolbio.2019.12.002 Tozzi A, Papo D. 2019. Projective mechanisms subtending real world phenomena wipe away cause effect relationships. Progress in Biophysics and Molecular Biology. https://doi.org/10.1016/j.pbiomolbio.2019.12.002

Abstract

Causal relationships lie at the very core of our scientific description of biophysical phenomena. Nevertheless, observable facts such as chaotic dynamics, symmetry breaks, long-range collisionless neural interactions, zero-value energy singularities, particle/wave duality, ecological approaches to visual perception elude cause effect inductive explanations. We illustrate how simple topological claims, seemingly useless and far away from scientific inquiry (e.g., “given at least some wind on Earth, there must at all times be a cyclone or anticyclone somewhere”; “if one stirs to dissolve a lump of sugar in a cup of coffee, it appears there is always a point without motion”; “at any moment, there is always a pair of antipodal points on the Earth’s surface with equal temperatures and barometric pressures”) describe a real world, made of projections and mappings unsupplied with causality. Unavoidable, necessary, passive, spontaneous changes in systems’ shapes, dimensions and symmetries incarnate biophysical quantifiable counterparts of abstract mathematical concepts. Real features arising from topological mechanisms do not require causal powers to be produced, because are independent of exerted physical forces, energetic fields’ actions and thermodynamic constraints. Providing examples that shed novel interpretative light on phenomena such as double slit experiments, cellular mechanisms and brain function, we conclude as follows: countless scientific matters can be accessed through methodological weapons which not just break causality, replace temporal correlations and probabilistic a priori knowledge of previous cases, but also permit augments in available information devoid of entropy increases and energy losses.

Keywords

causality; topology; Borsuk-Ulam theorem; fixed point theorem; non-Hermitian systems; Uhlenbeck theorem; dewetting transition; Kneser graphs

Subject

Computer Science and Mathematics, Applied Mathematics

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