Navjot Singh

Navjot Singh
Indian Institute of Science | IISC · Division of Mathematical and Physical Sciences

Master of Science
Rediscovering how to realize the spectacular functionality that biological brains have.

About

36
Publications
4,149
Reads
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73
Citations
Introduction
My research has been multifaceted, and my contributions span from the theoretical physics of dynamical systems and gravity, to the biophysics of neural computation. While pursuing these lines of enquiry, I am also engaged in studies at the interfaces of bioscience, mathematics, and computing disciplines that are aimed at progressing the understanding about cognitive processing in various states of consciousness.
Education
March 2019 - December 2021
Indian Institute of Science
Field of study
  • Theoretical Physics

Publications

Publications (36)
Preprint
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Extremophiles are an important resource for astrobiologists, and this paper looks at some of the major scientific questions that surround the search for extraterrestrial life in the Solar System (and beyond). It first describes the nature of extreme environments, then reviews the role of free oxygen in the formation of complex organic chemicals. Fi...
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The ability to tune the interactions between the components of complex biological systems in a predictable and reversible manner is a key challenge in engineering living systems. We present a general approach to design and analyze dynamical systems in the presence of tunable Fano and resonant interactions. Our approach, based on the theory of therm...
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In this work the connection between curvature, the emergence of the universe, and the process of morphogenesis is investigated in detail. We have come a long way from general relativity using differential geometry, which describes the curvature of space-time as an emergent phenomena, to the more recent theory of loop quantum gravity using non-geome...
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Heteroclinic networks have been proposed to describe, at low speeds, complex interaction phenomena. This paper explores their possible applications in controlling dynamical systems. First the principles of heteroclinic interactions with delay and with bifurcations, when applied for the description of biochemical reactions are discussed. Then exampl...
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Neural networks are a powerful tool in a broad spectrum of applications. They have been used successfully in signal processing, image processing, pattern recognition, pattern formation, etc. These applications require a model that describes the process of learning and memory. An ideal approach is to provide an accurate, precise, and generic represe...
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Two bound galaxies surrounded by a (nearly) empty vacuum which offers observable expansion of space via Repulsive Gravity.
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In this paper, I propose an alternate relativistic theory of ultra-high velocity based on time-translation corrections which solves the arrow-of-time dilemma. I argue that a particle can acquire infinitesimal acceleration after crossing the relativistic limit and accelerates with a nonzero magnitude until it reaches a critical point where t-symmetr...
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The idea of organisms with non-cellular organisation is still a matter of speculation , but it is currently attracting more and more attention. Despite some analogies in both chemical and biological structure and function between cells and organisms, a non-cellular life form may well differ drastically in chemical structure and biological organisat...
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There are infinite frames of reference at once while taking into account the motion of an object and all of them can be superposed to one another forming a dynamical net frame bundle. This results in a non-Hilbert space which represents a kind of state space of the object at hand. It will be shown that a particular type of this non-Hilbertian struc...
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This article presents a mathematical analysis of the contribution of non-vanilloiding quantum effects to the dynamics of the Hodgkin-Huxley (HH) model. The results are obtained using the methods of stochastic calculus, and the analysis is carried out in the weak noise limit. The analytical results show that, for a given amount of noise, the effect...
Research Proposal
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Quantum Astrobiology (QAB) is concerned with the potential of quantum mechanics in describing and understanding astro-biological phenomena. The application of the quantum mechanical effects may help to resolve the problem of evolution of life on this planet in prebiotic environment. It could give a plausible explanation for how the first signs of l...
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Overwhelming empirical evidence suggests that consciousness may be fundamentally linked to properties of physical systems. Quantum coherence in biological molecules, as well as entangled states of macroscopic objects such as brains, are important examples that support this notion. If we consider the quantum effects that seem most relevant to biolog...
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I discuss a computational theory of brain dynamics that can account for how activity propagates in networks of interconnected units in biological neurons. In a broad swath of models for how the brain might work, I consider a network of nonlinearly coupled dynamical systems and derive a set of equations for the network that can be solved numerically...
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The extended mind thesis holds that mental states are realized in extended physical systems and are not identical with processes occurring inside the brain. A central question raised by this hypothesis is how to model cognition within this extended framework. Here I propose that classical computation can't explain this extension and one rather need...
Preprint
The extended mind thesis holds that mental states are realized in extended physical systems and are not identical with processes occurring inside the brain. A central question raised by this hypothesis is how to model cognition within this extended framework. Here we propose that classical computation can't explain this extension and one rather nee...
Preprint
The Extended Mind Thesis holds that mental states are realized in extended physical systems and are not identical with processes occurring inside the brain. A central question raised by this hypothesis is how to model cognition within this extended framework. Here I propose that classical computation can't explain this extension and one rather need...
Preprint
Full-text available
The Extended Mind Thesis holds that mental states are realized in extended physical systems and are not identical with processes occurring inside the brain. A central question raised by this hypothesis is how to model cognition within this extended framework. Here I propose that classical computation can't explain this extension and one rather need...
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Full-text available
I argue why we haven't evolved much since the Neolithic Era with an analogy based on updating a form of computer architecture. I discuss various constraints on the evolution of higher-order components of cognition like the intelligence and why there's been no selection pressure for such components to evolve further.
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An interdisciplinary approach to evolutionary problems, in contrast to the more common method of taking a given set of cognitive abilities (usually from modern humans) and attempting to explain them by hypothesizing how they were present in our ancestors, is proposed. In this paper some implications of this approach for problems of evolution are ex...
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This paper studies perturbed Bianchi type I spaces with the help of a relatively simple classical action principle and thereby include non-standard couplings via weyl rescaling. We show that constant curvature singularities are associated with finite size regions under some fixed isotropic geometry. We generalize these results to arbitrary geometri...
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In a nutshell the assumption of free-will consists in the view that every decision making process within the brain occurs unconsciously and autonomously whereas consciousness is seen as the result of this unconscious free-will manifesting self-awareness and reflecting itself about its own processes. As a consequence it appears as if one has at leas...
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This is the subject of many works, starting from John Bell \cite{1}. The approach of this review is however, somewhat different, although the quantum non-separability problem is also posed in a similar way. Indeed the problem posed by the quantum formalism, in the two slit experiment for instance, is to find a model, compatible with the same experi...
Preprint
The discovery of the most massive galaxy cluster, Abell 426, was madepossible by the realization that galaxies are not uniformly distributed in space.The distribution of galaxies is highly non-uniform and shows a strong tendencyto clump into groups and clusters. This phenomenon has been known for manyyears as Clustering or Luminosity Segregation.
Preprint
In this report, I will explain the basics of the effect and discuss its possible detection. In particular, I shall focus on its applications to high redshift clusters.
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This paper presents a computational model to explain habit formation based on perceptual and attentional dynamics. The proposed model shows that habitual behavior arises when perceptually or attentionally salient cues are available in an environment, but only if they can be relied upon to elicit desired responses from participants. When no such cue...
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Consciousness appears to be an emergent property of some complex, nonlinear system in the brain. According to the integrated information theory of consciousness (IIT), a complex system composed of numerous integrated processing elements can be conscious due to the existence of a global, system-level integration of that complexity, which is associat...
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Many forms of love, from intimate friendships to obsessive attachment, are characterized by a pattern of synchronous and increased behavioral activity and increased neural activity in the mesolimbic dopamine system. This suggests that dopamine neurons may play an important role in mediating and rewarding behaviors that are contingent on the presenc...
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The full nonlinear evolution of a gravitational perturbation around a Schwarzschild anti-de Sitter black hole in Einstein-Gauss-Bonnet gravity is investigated. It is shown that the time evolution of the system is governed by a Schröedinger-type equation where the effective potential is found to be dependent on the EGB coupling constant. Under speci...
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We apply the concept of the planetary migration timescale to quantify the efficiency of life’s ability to occupy a habitable zone at different orbital distances from its host star. Using simulations, we see that this time scale is governed by two competing effects: (i) The type I rate coefficient for water loss in icy bodies, and (ii) The number of...
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The first living organisms to use chemical signals to coordinate behavior and build communities must have faced a fundamental dilemma. Natural selection would favor the evolution of neural circuits that represented those signals, but any such circuits would be sensitive to their own ongoing activity and that of all other simultaneously active compo...
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We describe a cellular-automaton based, two-dimensional (2D) lattice model which generates global oscillations in the EEG spectrum as well as time series of local field potentials resembling those observed during slow wave sleep. This is made possible by the presence of pacemakers (local oscillators) which can be spontaneously ignited and whose act...
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We extensively review the evaporation of black holes in AdS along with their thermal interpretation, holographic description, relative differences between initial and final states of emitted systems and in turn how our geometry is affected while studying these processes along with the current understanding of string theory in these regimes. In addi...
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We present an Einstein-Cartan-Kalb–Ramond model that yields a generalisation of unimodular gravity in which the dynamics are driven by torsion rather than curvature. Using a simple ansatz, we discuss how different possible cosmological scenarios can arise on considering geometries that include torsion tensors and provide a framework for modifying G...
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Spatial learning across many species is impaired by lesions in the hippocampus, a subcortical brain structure whose cellular composition changes substantially over its 5-6 week lifetime from mainly excitatory neurons during development to equal proportions of inhibitory interneurons (gamma-Amp/Arcs) as well as pyramidal cells early in life, but whi...
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We present a theoretical investigation of the environmental factors affecting the formation, evolution, and ultimate survival of complex, self-reproducing microbial life on Earth-sized exoplanets in tightly orbiting habitable zones (HZs) around M dwarfs. Our models indicate that for some great geological conditions microbes may exist across a range...
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In recent years, there has been increasing interest in developing models and tools to address the complex patterns of connectivity found in brain tissue. Specifically, this is due to a need to understand how emergent properties emerge from these network structures at multiple spatiotemporal scales. We argue that computational models are key tools f...

Questions

Questions (6)
Question
In recent years there has been a tremendous surge in neuroimaging research, and in my experience the most exciting aspects lie in:
  • exploring how neural systems are able to process and integrate multiple inputs,
  • elucidating how complex neuronal circuits can be understood by computational modelling of simplified models (both static as well as dynamical),
  • elucidating what is the mechanism for synaptic plasticity and the mechanism underlying how brain regions communicate (the neurodevelopmental and plastic brain models of cognitive and computational processing and brain connectivity).
  • Understanding what is the underlying computational basis for the generation of complex neural activity in a given brain region. For example, can neurons with similar inputs and identical synaptic parameters but different weights in a given layer of the brain show a qualitatively distinct neural firing rate pattern?
To understand these kinds of neuronal computations at an integrative level, a systems view is a powerful framework to provide both mechanistic insight, while taking advantage, as a complementary method, also allowing the possibility of modelling the system in a rigorous and detailed way and providing insight into its behaviour. What's your (qualified) opinion?

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Projects

Projects (4)
Project
Fracto-Morphodynamics (FMD) is an attempt towards a unified mathematical theory of everything. The project's main goal is to unify all aspects of science, mathematics and philosophy in a single framework by the use of fractals, which are geometrical models of real life phenomena that exhibit non-integer dimensionality. FMD also provides an integrative view of brain dynamics at the mesoscopic and macroscopic levels of analysis, and supports the concept of the Extended Mind Hypothesis.
Project
The main purpose of the project is to test some of the existing models that predict various effects of quantum physics on biological systems, their applicability in the study of origin of life, and provide an idea of how new or alternative ideas may be developed in order to broaden our understanding of this mysterious field.
Project
To explain the physical processes and laws governing consciousness.