2016
DOI: 10.3390/info8010004
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A Symmetric Approach Elucidates Multisensory Information Integration

Abstract: Recent advances in neuronal multisensory integration suggest that the five senses do not exist in isolation of each other. Perception, cognition and action are integrated at very early levels of central processing, in a densely-coupled system equipped with multisensory interactions occurring at all temporal and spatial stages. In such a novel framework, a concept from the far-flung branch of topology, namely the Borsuk-Ulam theorem, comes into play. The theorem states that when two opposite points on a sphere … Show more

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Cited by 8 publications
(4 citation statements)
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“…The two antipodal points can be used not only for the description of simple topological points, but also for more complicated structures (Borsuk, 1969 ), such spatial or temporal patterns functions, signals, movements, trajectories and symmetries (Saye and Sethian, 2011 ; Peters, 2016 ). If we simply evaluate CNS activity instead of “spatial signals,” BUT leads naturally to the possibility of a region-based, not simply point-based, brain geometry, with many applications (Tozzi and Peters, 2017 ). We are thus allowed to describe nervous systems functions or shapes as antipodal points on a n-sphere (Figure 3 ).…”
Section: Methodsmentioning
confidence: 99%
“…The two antipodal points can be used not only for the description of simple topological points, but also for more complicated structures (Borsuk, 1969 ), such spatial or temporal patterns functions, signals, movements, trajectories and symmetries (Saye and Sethian, 2011 ; Peters, 2016 ). If we simply evaluate CNS activity instead of “spatial signals,” BUT leads naturally to the possibility of a region-based, not simply point-based, brain geometry, with many applications (Tozzi and Peters, 2017 ). We are thus allowed to describe nervous systems functions or shapes as antipodal points on a n-sphere (Figure 3 ).…”
Section: Methodsmentioning
confidence: 99%
“…In more technical terms, antipodal points embedded in a higher dimension space map to matching descriptions in a lower dimensional space, provided that the mapping is continuous (Dodson and Parker, 1997;Matoušek 2003). The original formulation of BUT displays versatile ingredients which can be modified, resulting in useful extensions of its rather simple scenario (Tozzi et al, 2017a). For example, antipodal points can be replaced by antipodal regions, or shapes, with matching description (Tozzi and Peters, 2016b).…”
Section: Physical Meaning Of a Set Encompassing Quantum Mechanics Rementioning
confidence: 99%
“…Instead of points, novel BUT variants allow the assessment (from one dimension to another) of trajectories, functions, vectors and tensors, particle trajectories in phase spaces, information and activities such as entropies (Tozzi and Peters, 2017c). Also, the two features do not need to be perfectly antipodal: the only requirement is that they must not share points in common, being fully separated in the higher-dimensional manifold (Tozzi et al, 2017a). BUT variants hold not just for concave structures, such as the circumferences and spheres described by the classical BUT, but also for flat and concave structures (Tozzi 2016), such as the rather intricate trajectories detected in several systems' dynamics (Sengupta et al, 2016).…”
Section: Physical Meaning Of a Set Encompassing Quantum Mechanics Rementioning
confidence: 99%
“…The contributions of pallesthesia to everyday perception are not well understood; it is normally studied within the context of high-energy low frequency vibration in conjunction with health and safety concerns and annoyance factors. As a potential information-channel, pallesthesia is often overlooked, but might play a significant role in multimodal perception; the current broad consensus is that most, if not all, higher, as well as lower level neural processes are in some form multisensory [15], [16].…”
Section: Vibrationmentioning
confidence: 99%