*Tozziarturo@libero.it *

*Arturo.Tozzi@unt.edu*

*MY ORCID*

##### MY ROLE? Not regarding myself as a proper scientist, I do not like to be on focus: I just pull far-flung ideas together (mainly in neuroscience). Therefore, I publish in rather different disciplines (medicine, biology, physics, math, philosophy and, above all, neuroscience) and Journals (also nuts in Nature, Science and New England Journal of Medicine).

##### MY FIELD? "empirically testable theoretical developments", in physics and biology (mostly brain).

##### MY METHOD? a "testable rationalism": experimental previsions arising from top-down, deductive mathematical approaches.

*Here you are two short YouTube movies (less than one minute!) that elucidate my main ideas:*

*THE MIND IS MULTIDIMENSIONAL ***T**OPOLOGY: BORSUK-ULAM THEOREM AND ITS VARIANTS

**T**OPOLOGY: BORSUK-ULAM THEOREM AND ITS VARIANTS

# CLICK HERE FOR A .PDF THAT SUMMARIZES ALL MY PAPERS

## My publications in neuroscience, physics, biology, philosophy

### The Borsuk-Ulam theorem solves the curse of dimensionality

### The multidimensional brain

### Entropy Balance in the Expanding Universe: A Novel Perspective

### Evolution: networks and energy count

### Topology of Black Holes’ Horizons

### TOWARDS APPLICATIONS FOR EXCEPTIONAL POINTS ALSO IN NON- HERMITIAN BIOLOGICAL NETWORKS

### A Randomized, Controlled Trial of Oral Propranolol in Infantile Hemangioma (response)

### “How a continuous code can be estended to map additional dimensions?”

### THE COMMON FEATURES OF DIFFERENT BRAIN ACTIVITIES

### EEG DYNAMICS ON HYPERBOLIC MANIFOLDS

### The informational entropy endowed in cortical oscillations

### A NOVEL BELT MODEL OF THE ATOM, COMPATIBLE WITH QUANTUM DYNAMICS

### Syntax meets semantics during brain logical computations

### MULTIDIMENSIONAL BRAIN ACTIVITY DICTATED BY WINNER-TAKE-ALL MECHANISMS

### Einstein and the physics of the mind

### Gauge Fields in the Central Nervous System

### A timeless biology

### CRITIQUE OF PURE FREE ENERGY PRINCIPLE

### The Thermodynamic Analysis of Neural Computation

### WHAT IS IT LIKE TO BE “THE SAME”?

### Towards Equations for Brain Dynamics and the Concept of Extended Connectome

### TOWARDS PLASMA-LIKE COLLISIONLESS TRAJECTORIES IN THE BRAIN

### Relationships between short and fast brain timescales

### Heidegger's being and quantum vacuum

### BRAIN PROJECTIVE REALITY: NOVEL CLOTHES FOR THE EMPEROR

### Topodynamics of metastable brains

### A mathematical addendum. Quantifying energetic dynamics in physical and biological systems through a simple geometric tool and geodetic curves

### A REPETITIVE MODULAR OSCILLATION UNDERLIES HUMAN BRAIN ELECTRIC ACTIVITY

### Cellular Gauge Symmetry and the Li Organization Principle

### The human brain from above: an increase in complexity from environmental stimuli to abstractions

### THE MULTIDIMENSIONAL WORLD

### FROM ABSTRACT TOPOLOGY TO REAL THERMODYNAMIC BRAIN ACTIVITY

### CRACKING THE BARCODE OF FULLERENE-LIKE CORTICAL MICROCOLUMNS

### BOLD-INDEPENDENT COMPUTATIONAL ENTROPY ASSESSES FUNCTIONAL DONUT-LIKE STRUCTURES IN BRAIN FMRI IMAGES

### Towards a Neuronal Gauge Theory

### TOWARDS TOPOLOGICAL MECHANISMS UNDERLYING EXPERIENCE ACQUISITION AND TRANSMISSION IN THE HUMAN BRAIN

### Symmetries, Information and Monster Groups before and after the Big Bang

### FULLERENIC-TOPOLOGICAL TOOLS FOR HONEYCOMB NANOMECHANICS. Towards a fullerenic approach to brain functions

### A Symmetric Approach Elucidates Multisensory Information Integration

### Topology: Borsuk-Ulam theorem and its variants - A BRIEF MOVIE

### On normalization of inconsistency indicators in pairwise comparisons

### MUSCLES OF FACIAL EXPRESSION IN EXTINCT SPECIES OF THE GENUS HOMO

### Novel Affiliation!

### Towards a fourth spatial dimension of brain activity

### String-Based Borsuk-Ulam Theorem

### The four-dimensional brain? hot discussion about our paper

### BRAIN TISSUE TESSELLATION SHOWS ABSENCE OF CANONICAL MICROCIRCUITS

### Region-Based Borsuk-Ulam Theorem

### NEW PERSPECTIVES ON SPONTANEOUS BRAIN ACTIVITY: DYNAMIC NETWORKS AND ENERGY MATTER

### Computational Proximity: excursion in the topology of Digital images

### BUILDING A MINIMUM FRUSTRATION FRAMEWORK FOR BRAIN FUNCTIONS IN LONG TIMESCALES

### QUANTUM ENTANGLEMENT ON A HYPERSPHERE

### A TOPOLOGICAL APPROACH UNVEILS SYSTEM INVARIANCESAND BROKEN SYMMETRIES IN THE BRAIN

### Richard AVENARIUS’ “KRITIK Der Reinen ERFHARUNG”: the English Translation

### A TOPOLOGICAL APPROACH EXPLAINS MULTISENSORY NEURONS

### KINDLY HELPED BY KARL FRISTON: "INFORMATION PROCESSING IN THE CNS: A SUPRAMOLECULAR CHEMISTRY?"

### My new affiliation

### How to turn an oscillation in a pink one

### THE PROBABILISTIC VIRTUES OF THE TEMPERATURE IN THE BAYESIAN BRAIN: Journaal of Neuroscience

### DEWETTING TRANSITIONS AND CENTRAL NERVOUS SYSTEM

### Two underrated players shed new light on brain function

## My electronic comments to foremost published papers

### EMBEDDINGS OF CONNECTOME GRAPHS IN HYPERBOLIC SPACES

Arturo Tozzi
Center for Nonlinear Science, Department of Physics, University of North Texas, Denton, Texas, USA
tozziarturo@libero.it
Arturo.Tozzi@unt.edu
As recently suggested, the brain activity displays multidimensional features (1). Recent work has shown that the appropriate...

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### CHANGES IN CURVATURE REVERSE TIME (AND REMOVE INFINITY FROM PHYSICAL EQUATIONS)

Looking at their very interesting approach, we noticed that the Authors of this foremost paper used changes in curvature to invert the arrow of time (see their Figure 1, second and third panel, where they, almost continuously, modify the phase of the wave-function in every point).
It is exactly the...

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### THE HOLOGRAPHIC PRINCIPLE: JUST AN EMPTY BLACK HOLE?

The holographic principle, first proposed by 't Hooft and Susskind, is inspired by Bekenstein's and Hawking's account of black hole thermodynamics, according to which the maximal entropy in any region scales with the radius squared, and not cubed. This means that the informational content of...

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### The myth of falsifiability in the assessment of scientific theories

Quote as: Tozzi A. 2019. The myth of falsifiability in the assessment of scientific theories. (electronic response to: Bellmund JLS, Gärdenfors P, Moser1EI, Doeller CF. 2018. Navigating cognition: Spatial codes for human thinking. Science,...

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### DOES HORIZONTAL TRANSMISSION AMEND OUR CONCEPT OF LIVING SPECIES?

RE: DOES HORIZONTAL TRANSMISSION AMEND OUR CONCEPT OF LIVING SPECIES?
Arturo Tozzi, Adjunct Assistant Professor,University of North Texas
(12 February 2019)
Demarcation among objects and things is somewhat arbitrary, because our mind tends to exclude the continuity...

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### IS COSMIC HOMOGENEITY CORRELATED WITH HYPERUNIFORM DYNAMICS?

Quote as: Tozzi A. 2019. Is cosmic homogeneity correlated with hyperuniform dynamics? (electronic response to: Klatt MA, Lovrić J, Chen D, Kapfer SC, Schaller FM, et al. 2019. Universal hidden order in amorphous cellular geometries. NATURE COMMUNICATION, 10: 811).
In a scenario...

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### ELLIPTIC CURVES IN THE CENTRAL NERVOUS SYSTEM

Arturo Tozzi
Center for Nonlinear Science, Department of Physics, University of North Texas, Denton, Texas, USA
The Diffusion Tensor Imaging and Diffusion Tensor Tractography of neural projections performed by Alizadeh et al. are elliptic curves, i.e., they can be abstractly described in...

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### Is shape deformation a topological invariant?

In this beautiful paper, Kawabata et al. propose a topologically-framed unification of some physical features.
It is well-known that topology deals with the properties of space preserved under continuous deformations, such as stretching, twisting, bending and so on. This...

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### MAST1: MACROSCOPIC LOCAL PERTURBATIONS IN BRAIN GROWTH

My electronic response to an intriguing paper publised by Neuron
In this paper, Tripathy et al. (2018) report that Mast1, espressed just in postmitotic neuronal dendritic and axonal compartments, is...

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### Potential approach towards a better comprehension of our "second brain", i.e., the myenteric plexus

Banino et al.'s approach paves the way also to a potential approach towards a better comprehension of our "second brain", i.e., the myenteric plexus. We know that enthorinal grid cells are placed in exagons and fire when a moving animal crosses their firing fields. If we examine flat mounts...

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