# Arturo TozziUniversity of North Texas | UNT · Department of Physics

Arturo Tozzi

MD, Pediatrician, PhD, Adjunct Assistant Professor in Physics, visiting Scholar

## About

408

Publications

191,128

Reads

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2,184

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Introduction

I do not like to be on focus. Looking for unexpected multidisciplinary relationships, I publish in different Journals (e.g., nuts in Nature, New England Journal of Medicine, Physics of Life Reviews, PLOS Biology, etc) and fields (biology, physics, math, philosophy, history, medicine, neuroscience) --
I term my method "testable rationalism": previsions arising from top-down, deductive mathematical/topological approaches -- http://arturotozzi.webnode.it/
--
https://orcid.org/0000-0001-8426-4860

**Skills and Expertise**

Additional affiliations

April 2016 - December 2020

January 2015 - September 2020

January 2008 - January 2009

## Publications

Publications (408)

Local interactions between flock members in absence of centralized control generate collective dynamics characterized by coherent large-scale patterns. We investigate whether aggregates of individuals like birds, swarms and fishes behaving in concert with their neighbors may modify the physical properties of the fluid medium in which they are embed...

A delicate balance between dissipative and nonlinear forces allows traveling waves termed solitons to preserve their shape and energy for long distances without steepening and flattening out. Solitons are so widespread that they can generate both destructive waves on oceans' surfaces and noise-free message propagation in silica optic fibers. They a...

After the introduction of the Christian religion, a traumatic shift took place in the Norse approach to death rituals. Transition went with strains between the ancient era of cremation and the new inhumation period. We argue that the myth of Ragnarök, written after Icelandic Christianization, might refer to the Norse mythical past of funeral pyres...

The universe is punctured with a high number of black holes that might stand for topological "holes" or "cavities". Starting from this observation, we discuss the possibility to think over the universe in terms of a manifold of very high genus (henceforward VHGM), rather than an isotropic and homogeneous manifold of genus zero. We argue about the f...

FReSCo is a recently developed algorithm that generates images and videos starting from point patterns. We suggest a feasible neuroscientific application for FReSCo. As a proof-of concept study, FReSCo could be used to test freely available videos of intermittently firing neurons at different coarse-grained neuronal scales. Interpreting cortical ne...

The Sansevero Chapel displays a well-conceived design, in which Ripa’s iconographic references play an important role. We argue that di Sangro at times distorts Ripa’s iconography to illustrate the difficult path awaiting the Mason apprentice. Decorum, one of the first sculptures the visitor encounters on their left upon entering the Chapel, lacks...

Physical properties such as shape, volume, and size influence the dynamics of biological systems. In this context, we focus on the geometric properties of limb movements and their physiological and biomechanical effects. Using hand grasping as a paradigmatic example, we describe how dynamic changes in geometric configuration can affect the pathophy...

Real and epistemically justified judgements require individuals' beliefs grounded on empiric inductive experience. Yet, solid scientific evidence is frequently unavailable, unreliable or controversial, preventing individuals to build their own beliefs in real-life events that require clear-cut and fast answers, especially across domains like employ...

Medical judgements require doctor's belief based on the solid scientific evidence provided by empiric inductive experience. Yet, it is not infrequent that scientific data are unavailable, unreliable or controversial, such that the empirical evidence is not solid enough to allow doctors to build their own belief and make a final choice. Here we ask...

Ramanujan’s real period functions plus Picard–Fuchs differential equations and Gaussian hypergeometric functions generate a wide range of simple hypergeometric manifolds (henceforward PFHM) consisting of two-dimensional coupled subsystems combined in a single three-dimensional system with dihedral symmetry. We argue that PFHM could be used to eluci...

Ramanujan's real period functions plus Picard-Fuchs differential equations and Gaussian hypergeometric functions generate a wide range of simple hypergeometric manifolds (henceforward PFHM) consisting of two-dimensional coupled subsystems combined in a single three-dimensional system with dihedral symmetry. We argue that PFHM could be used to eluci...

The great Hittite king Muwatalli II, passed to posterity for taking part in the first ever recorded battle, namely, the battle of Kadesh in 1274 B.C. against Ramesses II, passed away around the year 1272 B.C. We suggest that Muwatalli II didn't die for natural causes as commonly believed, but he was killed. We provide a list of the enemies who want...

Elliptic curves are fundamental mathematical objects obeying two-variable equations in which the square of one variable relates to the third power of another. Wondering whether elliptic curves might stand for the abstract counterpart of biological activities, we identified a correspondence between the two-dimensional plots of various elliptic curve...

A delicate balance between dissipative and nonlinear forces allows traveling waves termed solitons to preserve their shape and energy for long distances without steepen and flatten out. Solitons are so widespread that can generate both destructive waves in oceans' surface and noise-free message propagation in silica optic fibers. They are naturally...

Many living beings use exogenous and/or endogenous gases to attain evolutionary benefits. We make a comprehensive assessment of one of the major gaseous reservoirs in the human body, i.e., the bowel, providing extensive data that may serve as reference for future studies. We assess the intestinal gases in healthy humans, including their volume, com...

Turbulence is a widespread phenomenon detectable in physical and biological systems. Examining a theoretical model of liquid water flowing in a cylinder at different Raleigh numbers, we propose a novel approach to elucidate the first stages of turbulent flows. The weakly bonded molecular assemblies of liquid distilled water form a fluctuating branc...

Local interactions between flock members in absence of centralized control generate collective dynamics characterized by coherent large-scale patterns. We investigate whether aggregates of individuals like birds, swarms and fishes behaving in concert with their neighbors may modify the physical properties of the fluid medium in which they are embed...

PREMISE: In 2023, increases in scarlet fever's incidence have been detected throughout Europe. Based on general pediatricians' experience, we hypothesize that a shift has occurred in both group A streptococcus (GAS) clinical findings and age of onset. Therefore, we propose to evaluate whether the well-standardized signs and symptoms leading to GAS...

Physical properties like shape, volume and size affect the dynamics of biological systems. Along these lines, we focus on the topological properties of biological fluids and their biochemical and physiological outcomes. We take as a paradigmatic example the salivary fluid and describe how its topological features may affect the physiopathology of t...

Physical properties like shape, volume and size affect the dynamics of biological systems. Along these lines, we focus on the topological properties of biological fluids and their biochemical and physiological outcomes. We take as a paradigmatic example the salivary fluid and describe how its topological features may affect the physiopathology of t...

The central dogma of molecular biology dictates that, with only a few exceptions, information proceeds from DNA to protein through an RNA intermediate. Examining the enigmatic steps from prebiotic to biological chemistry, we take another road suggesting that primordial peptides acted as template for the self-assembly of the first nucleic acids poly...

https://www.pmf.ni.ac.rs/filomat-content/2024/38-3/38-3-2-20772.pdf
(Communicated by Hari M. SRIVASTAVA on 6 August 2023).
This paper introduces geometric realizations of homotopic paths over simply-connected surfaces with non-zero curvature as a means of comparing and measuring paths between antipodes with either a Feynman path integral or Wood...

In macro-public finance, the Ramsey rule (RR) concerns variable taxation to maximize social welfare and economic efficiency in a purely competitive monopolistic system. To extract tax revenue with the least loss of utility to the representative individual, RR dictates that optimal, proportionate taxes should be such as to diminish in the same propo...

Tozzi A. 2023. The ubiquitous role of complete graphs: Ramsey’s theorem & electrical synapses in connectomics. 2023. (Electronic Response to Hürkey, S., Niemeyer, N., Schleimer, JH. et al. Gap junctions desynchronize a neural circuit to stabilize insect flight. Nature 618, 118–125 (2023). https://doi.org/10.1038/s41586-023-06099-0).

In macro-public finance, the Ramsey rule (RR) concerns variable taxation to maximize social welfare and economic efficiency in a purely competitive monopolistic system. To extract tax revenue with the least loss of utility to the representative individual, RR dictates that optimal, proportionate taxes should be such as to diminish in the same propo...

In macro-public finance, the Ramsey rule (RR) concerns variable taxation to maximize social welfare and economic efficiency in a purely competitive monopolistic system. To extract tax revenue with the least loss of utility to the representative individual, RR dictates that optimal, proportionate taxes should be such as to diminish in the same propo...

Ultrametric spaces are widely used to depict evolutionary times in phylogenetic trees since they assume that every population/species is located at the tips of bifurcating branches of the same length. The discrete branching of ultrametric trees permits the measurement of distances between pairs of individuals that are proportional to their divergen...

Dogs display vast phenotypic diversity, including differences in height, skull shape, tail, etc. Yet, humans are almost always able to quickly recognize a dog, despite no single feature or group of features are critical to distinguish dogs from other objects/animals. In search of the mental activities leading human individuals to state _“I see a do...

Dogs display vast phenotypic diversity, including differences in height, skull shape, tail, etc. Yet, humans are almost always able to quickly recognize a dog, despite no single feature or group of features are critical to distinguish dogs from other objects/animals. In search of the mental activities leading human individuals to state "I see a dog...

The single macroscopic flow on the boundary of a closed curve equals the sum of the countless microscopic flows in the enclosed area. According to the dictates of the Green’s theorem, the counterclockwise movements on the border of a two-dimensional shape must equal all the counterclockwise movements taking place inside the shape. This mathematical...

Visual imagery (VI) is the mental experience of objects in the absence of their corresponding visual stimuli. Asking whether mental images can be physically quantified, we seek for relationships between visual imagery and special relativity. The Einstein's account states that, by an observer's standpoint, an object traveling at light speed is subje...

The central dogma of molecular biology dictates that, with only a few exceptions, information proceeds from DNA to protein through an RNA intermediate. Examining the enigmatic steps from prebiotic to biological chemistry, we take another road suggesting that primordial peptides acted as template for the self-assembly of the first nucleic acids poly...

The central dogma of molecular biology dictates that, with only a few exceptions, information proceeds from DNA to protein through an RNA intermediate. Examining the enigmatic steps from prebiotic to biological chemistry, we take another road suggesting that primordial peptides acted as template for the self-assembly of the first nucleic acids poly...

Ramsey's theory (RAM) from combinatorics and network theory goes looking for regularities and repeated patterns inside structures equipped with nodes and edges. RAM represents the outcome of a dual methodological commitment: by one side a top-down approach evaluates the possible arrangement of specific subgraphs when the number of graph's vertices...

Travelling waves crossing the nervous networks at mesoscopic/macroscopic scales have been correlated with different brain functions, from long-term memory to visual stimuli. Here we investigate a feasible relationship between wave generation/propagation in recurrent nervous networks and a physical/chemical model, namely the Belousov-Zhabotinsky rea...

Intestinal gases are usually discarded as physiologically inert, useless sub-products of colonic fermentation that must be expelled to prevent discomfort and meteorism. Starting from the observation that many living beings use exogenous and/or endogenous gases to attain evolutionary benefits, we question whether intestinal gases in healthy humans c...

Intestinal gases are usually discarded as physiologically inert, useless sub-products of colonic fermentation that must be expelled to prevent discomfort and meteorism. Starting from the observation that many living beings use exogenous and/or endogenous gases to attain evolutionary benefits, we question whether intestinal gases in healthy humans c...

The massive amount of available neurodata suggests the existence of a mathematical backbone underlying neuronal oscillatory activities. For example, geometric constraints are powerful enough to define cellular distribution and drive the embryonal development of the central nervous system. We aim to elucidate whether underrated notions from geometry...

Set theory faces two difficulties: formal definitions of sets/subsets are incapable of assessing biophysical issues; formal axiomatic systems are complete/inconsistent or incomplete/consistent. To overtake these problems reminiscent of the old-fashioned principle of individuation, we provide formal treatment/validation/operationalization of a metho...

COMMENT TO A NEJM 2022 paper: Low-Dose Subcutaneous or Intravenous Monoclonal Antibody to Prevent Malaria. -----------------------
Most of the Plasmodium-carrying Anopheles spp. (henceforward mosquitoes) increase in individuals’ number during the wet season and decrease during the dry season. It has been demonstrated that female pregnant mosquito...

ACCEPTED FOR PUBLICATION BY HARI M. SRIVASTAVA, ON 6 AUGUST 2023
This paper introduces geometric realizations of homotopic paths over simply-connected surfaces with non-zero curvature as means of comparing and measuring paths between antipodes with either a Feynman path integral or Woodhouse contour integral, resulting in a number of extensions o...

Turbulence is a fluid dynamic problem refractory to mathematical treatment. Examining a theoretical model of liquid water flowing in a cylinder at different Raleigh numbers, we propose a novel approach to elucidate the first stages of turbulent flows. The weakly bonded molecular assemblies of liquid water form a fluctuating branched polymer in whic...

When a boat disappears over the horizon, does a distant observer detect the last moment in which the boat is visible, or the first moment in which the boat is not visible? This apparently ludicrous way of reasoning, heritage of long-lasting medieval debates on decision limit problems, paves the way to sophisticated contemporary debates concerning t...

Mechanical properties such as shape, volume and size affect the dynamics of biological systems. Most of the current methodological approaches are inclined to remove the existence of holes and impurities from systems' description, regarding them as routes toward mechanical failure. On the contrary, we suggest that the occurrence of holes might be of...

Mechanical properties such as shape, volume and size affect the dynamics of biological systems. Most of the current methodological approaches are inclined to remove the existence of holes and impurities from systems’ description, regarding them as routes toward mechanical failure. On the contrary, we suggest that the occurrence of holes might be of...

Novel methodological approaches to assess topological mappings and projections between biophysical phase spaces have been recently introduced in neuroscience. In this brief survey of our published manuscripts, we discuss how the "unreasonable power" of algebraic topology permits an experimentally testable top-down inquiry of the brain activity.

A novel methodological approach requires the observer to investigate the information
accessible outside the object under scrutiny. The object becomes an “hole” devoid of information, surrounded by a container that is no longer a passive structure. We use this container-framed attitude for a mathematical attempt to take a step towards the unexploite...

Instead of the conventional 0 and 1 values, bipolar reasoning uses-1, 0, +1 to describe double-sided judgements in which neutral elements are halfway between positive and negative evaluations (e.g., "uncertain" lies between "impossible" and "totally sure"). We discuss the state-of-the-art in bipolar logics and recall two medieval forerunners, i.e.,...

One of the criteria to a strong principle in natural sciences is simplicity. The conventional view holds that the world is provided with natural laws that must be simple. This common-sense approach is a modern rewording of the medieval philosophical/theological concept of the Multiple arising from (and generated by) the One. Humans need to pursue u...

The single macroscopic flow on the boundary of a closed curve equals the sum of the countless microscopic flows in the enclosed area. According to the dictates of the Green's theorem, the counterclockwise movements on the border of a two-dimensional shape must equal all the counterclockwise movements taking place inside the shape. This mathematical...

The single macroscopic flow on the boundary of a closed curve equals the sum of the countless microscopic flows in the enclosed area. According to the dictates of the Green's theorem, the counterclockwise movements on the border of a two-dimensional shape must equal all the counterclockwise movements taking place inside the shape. This mathematical...

When it's right, it's right.

The massive amount of available neurodata suggests the existence of a mathematical backbone underlying the intricate oscillatory activity of the brain. Hidden, unexpected multidisciplinary relationships can be found when mathematics copes with neural phenomena, leading to novel answers for everlasting neuroscientific questions. We elucidate how and...

In this brief note, we propose a novel mechanism that might contribute to the visual ability of depth perception. We suggest a mathematical approach based on the Monge's theorem which allows the perception of the object's distance from the observer's eye and its three-dimensional features.

In this brief note, we cast doubts on the death of the great Hittite king Muwatalli II. Going through the prayer CTH 383 in which the king's impiety against the priestess of the Sun-goddness of Arinna is emphasized and condemned, we argue that Muwatalli II was dismissed and killed: "he paid for it with his head".

Ultrametric spaces are widely used to depict evolutionary times in phylogenetic trees, since they assume that every population/species is located at the tips of divergent branches. The discrete branching of ultrametric trees permits the measurement of distances between pairs of individuals that are proportional to their divergence time. Here we ove...

Neuroscientists are able to detect physical changes in information entropy in the available neurodata. However, the information paradigm is inadequate to describe fully nervous dynamics and mental activities such as perception. This paper suggests explanations to neural dynamics that provide an alternative to thermodynamic and information accounts....

Instead of the conventional 0 and 1 values, bipolar reasoning uses-1, 0, +1 to describe double-sided judgements in which neutral elements are halfway between positive and negative evaluations (e.g., "uncertain" lies between "impossible" and "totally sure"). We discuss the state-of-the-art in bipolar logics and recall two medieval forerunners, i.e.,...

Instead of the conventional 0 and 1 values, bipolar reasoning uses -1, 0, +1 to describe double-sided judgements in which neutral elements are halfway between positive and negative evaluations (e.g., “uncertain” lies between “impossible” and “totally sure”). We discuss the state-of-the-art in bipolar logics and recall two medieval forerunners, i.e....

This paper introduces quaternionic views of multi-level brain activation region intensities in resting-state functional magnetic resonance imaging (rs-fMRI) videos. Quaternions make it possible to explore rs-fMRI brain activation regions in a 4D space in which there are varying brain activation intensities in spiralling activation cycles (each with...

Ramsey's economic theory of saving (RTS) estimates how much of its commodities a nation should save to safeguard the well-being of future generations. Since RTS retains many attractive qualities such as simplicity, strength, breadth and generality, here we ask if it would be useful to investigate biophysical issues. Specifically, we focus on a biol...

Ramsey's economic theory of saving (RTS) estimates how much of its commodities a nation should save to safeguard the well-being of future generations. Since RTS retains many attractive qualities such as simplicity, strength, breadth and generality, here we ask if it would be useful to investigate biophysical issues. Specifically, we focus on a biol...

Ramsey’s economic theory of saving (RTS) estimates how much of its commodities a nation should save to safeguard the well-being of future generations. Since RTS retains many attractive qualities such as simplicity, strength, breadth and generality, here we ask if it would be useful to investigate biophysical issues. Specifically, we focus on a biol...

Whenever one attempts to comb a hairy ball flat, there will always be at least one tuft of hair at one point on the ball. This seemingly worthless sentence is an informal description of the hairy ball theorem, an invaluable mathematical weapon that has been proven useful to describe a variety of physical/biological processes/phenomena in terms of t...

Ramsey's theory (RAM) from combinatorics and network theory goes looking for regularities and repeated patterns inside structures equipped with nodes and edges. RAM represents the outcome of a dual methodological commitment: by one side a top-down approach evaluates the possible arrangement of specific subgraphs when the number of graph's vertices...

When an edge is removed, a cycle graph Cn becomes a n-1 tree graph. This observation from extremal set theory leads us to the realm of set theory, in which a topological manifold of genus-1 turns out to be of genus-0. Starting from these premises, we prove a theorem suggesting that a manifold with disjoint points must be of genus-0, while a manifol...

Tozzi A. 2021. To know them, remove their information: an outer methodological
approach to biophysics and humanities. (INTERNATIONAL SOCIETY FOR THE STUDY OF INFORMATION) IS4SI Summit 2021. Theoretical and Foundational Problems in Information Studies. Session 3: Information in Natural Sciences.
https://tfpis.com/session-3-information-in-natural-...

The methodological/operational virtues of stochastic approaches allow us to assess biophysical phenomena in terms of random walks, Brownian motions, Markov chains, etc. We argue that these approaches are not profitable when stochastic paths occur in high-dimensional phase spaces. Indeed, contrary to the two-dimensional random walks, the higher-dime...

How do we perceive a visual image? Some authors suggest that we have topological perceptions of visual objects. Here we show that the human mind does not perceive topological findings of visual images, rather it uses a fully different (and still unknown) mechanism.

The unexploited unification of general relativity and quantum mechanics (QM) prevents the proper understanding of the micro- and macroscopic world. Here we put forward a mathematical approach that introduces the problem in terms of negative curvature manifolds. We suggest that the oscillatory dynamics described by wave functions might take place on...

Physical and biological measurements might display range values extending towards infinite. The occurrence of infinity in equations, such as the black hole singularities, is a troublesome issue that causes many theories to break down when assessing extreme events. Different methods, such as re-normalization, have been proposed to avoid detrimental...

My teachers used to tell me: “Tozzi, be on focus”. But I never liked “to be on focus”: I like a lot to play with hidden, unexpected multidisciplinary relationships. Despite my harsh criticism to current attitudes toward scientific issues, I never take a full sceptic turn: I engage in “pragmaticistic” active outreach, showing how fresh interpretatio...

Neural networks are commonly described in terms of feedforward paths coupled with feedback circuits that guarantee backpropagation and message control. Here we, based on mathematical arguments from algebraic topology, near set theory and category theory, suggest the testable hypothesis that neuronal networks might be equipped with feedback mechanis...

The brain, rather than being homogeneous, displays an almost infinite topological genus, since it is punctured with a high number of “cavities”. We might think to the brain as a sponge equipped with countless, uniformly placed, holes. Here we show how these holes, termed topological vortexes, stand for nesting, non-concentric brain signal cycles re...

According to Shannon, the entropy for continuous stochastic processes has many properties analogous to the entropy for discrete processes. Nevertheless, there are some mathematical and physical problems with Shannon's account. The obstacle arises in chapter 21 (Shannon 1948), when Shannon describes the continuous case of the entropy of ergodic ense...

Background:
Gene-environment interactions are relevant for several respiratory diseases. This communication raises the hypothesis that the severity of COVID-19, a complex disease where the individual response to the infection may play a significant role, could partly result from a gene-environment interaction between air-pollution and Alpha-1 Anti...

Set theory faces two difficulties: formal definitions of sets/subsets are incapable of assessing biophysical issues; formal axiomatic systems are complete/inconsistent or incomplete/consistent. To overtake these problems reminiscent of the old-fashioned principle of individuation, we provide formal treatment/validation/operationalization of a metho...

Set theory faces two difficulties: formal definitions of sets/subsets are incapable of assessing biophysical issues; formal axiomatic systems are complete/inconsistent or incomplete/consistent. To overtake these problems reminiscent of the old-fashioned principle of individuation, we provide formal treatment/validation/operationalization of a metho...

The heretic Capuchin Celestino of Verona, one of the harshest opponents of Giordano Bruno, wrote in 1599 to the Roman Inquisition and (anonymously) to the Venetian Inquisitor to inform himself. In a few months, he was burnt alive on the heels of an unusually short Inquisitorial trial. This traditional account, held by the most prominent scholars of...

Relationships among near set theory, shape maps and recent accounts of the Quantum Hall effect pave the way to neural networks computations performed in higher dimensions. We illustrate the operational procedure to build a real or artificial neural network able to detect, assess and quantify a fourth spatial dimension. We show how, starting from tw...

The unexploited unification of general relativity and quantum mechanics (QM) prevents the proper understanding of the micro- and macroscopic world. Here we put forward a mathematical approach that introduces the problem in terms of negative curvature manifolds. We suggest that the oscillatory dynamics described by wave functions might take place on...

We suggest that the 14th century scholar Nicholas of Autrecourt can be regarded as a precursor of the paraconsistent logics developed around 1950. We show how the Sorbonne licentiatus in theology provided in his few extant writings a refutation of both the principle of explosion and the law of non-contradiction, in accordance with the tenets of par...

The dynamical processes of living systems are characterized by the cooperative interaction of many units. This claim enables us to portray the embryo-fetal development of the central and peripheral nervous systems in terms of assemblies of building blocks. We describe how the structure and arrangement of nervous fibers is-at least partially-dictate...

The dynamical processes of living systems are characterized by the cooperative interaction of many units. This claim enables us to portray the embryo-fetal development of the central and peripheral nervous systems in terms of assemblies of building blocks. We describe how the structure and arrangement of nervous fibers is - at least partially - dic...

Quote as: Tozzi A. 2021. XOR: another feasible logcal operation apart from AND,
OR, NOT (electronic response to: Lajoie MJ, Boyken SE, Salter AI, Bruffey J, Rajan
A. 2021 . Designed protein logic to target cells with precise combinations of surface
antigens. Science, 369(6511): 1637-1643. DOI: 10.1126/science.aba6527).

The nervous activity of the brain takes place in higher-dimensional functional spaces. It has been proposed that the brain might be equipped with phase spaces characterized by four spatial dimensions plus time, instead of the classical three plus time. This suggests that global visualization methods for exploiting four-dimensional maps of three-dim...

QUOTE AS:
Tozzi A. 2021. Variations in cellular temperature and thermodynamic outcomes
(electronic response to: Sotoma S, Zhong C, Kah JCY, Yamashita4 H. Plakhotnik T, et al. 2021. In situ measurements of intracellular thermal conductivity using heater-thermometer hybrid diamond nanosensors. Science Advances. Vol. 7, no. 3, eabd7888, DOI: 10.1126...

Against the critiques against Pfizer and Moderna vaccines raised by BMJ.

The internationals guidelines about food intolerances, allergy and immunity provide for rigorous steps in which ultrasonography is not provided. However there is evidence in literature about an ancillar role of ultrasonography in these conditions. In this report we analyze the main pathologies with allergic or immune pathogenesis. -----------------...

Take a balloon, that is a genus-one manifold. If you break the jointness by piercing its surface, the hole gets lost and the punctured balloon becomes a genus-0 manifold. Starting from this trivial claim, we prove a topological theorem which plainly states that "the ends of a donut can meet, whilst the ends of a kidney pie cannot". In this succinct...

This manuscript has been published. Please quote as: Tozzi A. 2021. Why Should Natural Principles Be Simple? Philosophia. https://doi.org/10.1007/s11406-021-00359-x. -------------------------------------------------------------------One of the criteria to a strong principle in natural sciences is simplicity. The conventional view holds that the wor...

William of Ockham's Mass... and quantum dynamics.

In this brief manuscript, we show how the sensitive ascending nervous fibers connecting peripheral receptors to cortical areas can be described in terms of braid groups. The group structure and generator operations of braids suggest a fresh approach to long-standing questions concerning human sensation and perception.

Physical and biological phenomena are often portrayed in terms of random walks, white noise, Markov paths, stochastic trajectories with subsequent symmetry breaks. Here we show that this approach from dynamical systems theory is not profitable when random walks occur in phase spaces of dimensions higher than two. The more the dimensions, the more t...