Related papers: Apology of Euclid

The term complexity derives etymologically from the Latin plexus, which means interwoven. Intuitively, this implies that something complex is composed by elements that are difficult to separate. This difficulty arises from the relevant…

arXiv admin note: This submission has been withdrawn by arXiv administrators due to unprofessional personal attack.

Every system of any significant size is created by composition from smaller sub-systems or components. It is thus fruitful to analyze the fault-tolerance of a system as a function of its composition. In this paper, two basic types of system…

Shukla and Akbari-Moghanjoughi have {\it corrected} their Comment (see their version 1 on `arXiv:1207.7029v1) to EPL on our work [1] after receiving our Response from the Editors of EPL. We have a pleasant duty at hand to present our second…

This article gives a brief survey of the theory and applications of anomalies.

Combinatorial and topological aspects of monoids with an absorbing element and their associated algebras are considered. Phd thesis.

This very short paper presents a novel approach to Euler's formula without presupposing it. The paper reclaims the rightful place of the formula at the heart of calculus.

This short review is dedicated to academician Yakov Borisovich Zeldovich, the science of his epoch and the creation of modern accretion theory.

A collection of short expository essays by the author on various topics in quantum mechanics, quantum cosmology, and physics in general.

This paper has been withdrawn by the author due a crucial error.

This paper has been withdrawn by the author(s) in the light of several other works available and due to a misunderstanding in the authorships.

This paper has been withdrawn by the author due a few mistakes in the paper.

This paper has been withdrawn by the author due to the presented idea is wrong.

The note complements topological aspects of the theory of chiral algebras.

This paper puts forward an ontology that is indebted to QBism, Kant, Bohr, Schr\"odinger, the philosophy of the Upanishads, and the evolutionary philosophy of Sri Aurobindo. Central to it is that reality is relative to consciousness or…

In this short paper we reply to the Comment [arXiv:1108.4543] by M. J. T. F. Cabbolet on Villata's theory of antigravity [arXiv:1103.4937]. The criticisms of methodological and ontological kind presented by that author come from a…

This short article was submitted to Nature Physics as a Correspondence. The intention was to provide a brief albeit significant criticism of the work of J. Dunkel and S. Hilbert, \textit{Consistent Thermostatistics Forbids Negative Absolute…

The paper has been withdrawn by the author, due to it being fundamentally flawed. The author apologizes for any inconvenience it may have caused.

In this exposition the space of at most 3-element subsets of the circle, first identified by Borsuk and Bott, is used as a motivation to introduce the readers to a variety of methods in (algebraic) topology.

This paper presents a preliminary version of the deformation theory of expressions of elements of algebras. The notion of *-functions is given. Several important problems appear in simplified forms, and these give an intuitive bird's-eye of…