scholarly journals A Contextual Foundation for Mechanics, Thermodynamics, and Evolution

2020 ◽  
Author(s):  
Harrison Crecraft
Keyword(s):  
Classical Mechanics ◽  
Objective Measure ◽  
Positive Temperature ◽  
Spontaneous Transition ◽  
Fundamental Properties ◽  
Special Cases ◽  
Evolution Of Life ◽  
Measurable Rate ◽  
Definition Of ◽  
Evolutionary Paths

The prevailing interpretations of physics are based on deeply entrenched assumptions, rooted in classical mechanics. Logical implications include: the denial of entropy and irreversible change as fundamental properties of state; the inability to explain random quantum measurements and nonlocality without unjustifiable assumptions and untestable metaphysical implications; and the inability to explain or even define the evolution of complexity. The dissipative conceptual model (DCM) is based on empirically justified assumptions. It generalizes mechanics’ definition of state by acknowledging the contextual relationship between a physical system and its positive-temperature ambient background, and it defines the DCM entropy as a fundamental contextual property of physical states. The irreversible production of entropy establishes the thermodynamic arrow of time and a system’s process of dissipation as fundamental. The DCM defines a system’s utilization by the measurable rate of internal work on its components and as an objective measure of stability for a dissipative process. The spontaneous transition of dissipative processes to higher utilization and stability defines two evolutionary paths. The evolution of life proceeded by both competition for resources and cooperation to evolve and sustain higher functional complexity. The DCM accommodates classical and quantum mechanics and thermodynamics as idealized non-contextual special cases.

scholarly journals A Contextual Foundation for Mechanics, Thermodynamics, and Evolution

2020 ◽  
Author(s):  
Harrison Crecraft
Keyword(s):  
Classical Mechanics ◽  
Objective Measure ◽  
Positive Temperature ◽  
Spontaneous Transition ◽  
Fundamental Properties ◽  
Special Cases ◽  
Evolution Of Life ◽  
Measurable Rate ◽  
Definition Of ◽  
Evolutionary Paths

The prevailing interpretations of physics are based on deeply entrenched assumptions, rooted in classical mechanics. Logical implications include: the denial of entropy and irreversible change as fundamental properties of state; the inability to explain random quantum measurements and nonlocality without implausible and empirically unjustified metaphysical implications; and the inability to explain or even define the evolution of complexity. The dissipative conceptual model (DCM) is based on empirically justified assumptions. It generalizes mechanics’ definition of state by acknowledging the contextual relationship between a physical system and its positive-temperature ambient background, and it defines the DCM entropy as a fundamental contextual property of physical states. The irreversible production of entropy establishes the thermodynamic arrow of time and a system’s process of dissipation as fundamental. The DCM defines a system’s utilization by the measurable rate of internal work on its components and as an objective measure of stability for a dissipative process. The spontaneous transition to dissipative processes of higher utilization and stability defines two evolutionary paths. The evolution of life proceeded by both competition for resources and cooperation to evolve and sustain higher functional complexity. The DCM accommodates classical and quantum mechanics and thermodynamics as idealized non-contextual special cases.

scholarly journals A Contextual Foundation for Mechanics, Thermodynamics, and Evolution

2021 ◽  
Author(s):  
Harrison Crecraft
Keyword(s):  
Conceptual Model ◽  
Classical Mechanics ◽  
Dissipative System ◽  
Objective Measure ◽  
Second Law Of Thermodynamics ◽  
Physical Reality ◽  
Internal Work ◽  
Measurable Rate ◽  
Production Of Entropy ◽  
Fundamental Physical

The prevailing interpretations of physics are based on deeply entrenched assumptions, rooted in classical mechanics. Logical implications include: the denial of entropy and irreversible change as fundamental physical properties; the inability to explain random quantum measurements or nonlocality without untestable metaphysical implications; and the inability to define complexity or explain its evolution. We propose a conceptual model based on empirically justifiable assumptions. The WYSIWYG Conceptual Model (WCM) assumes no hidden properties: “What You can See Is What You Get.” The WCM defines a system’s state in the context of its actual ambient background, and it extends existing models of physical reality by defining entropy and exergy as objective contextual properties of state. The WCM establishes the irreversible production of entropy and the Second law of thermodynamics as a fundamental law of physics. It defines a dissipative system’s measurable rate of internal work as an objective measure of stability of its dissipative process. A dissipative system can follow either of two paths toward higher stability: it can 1) increase its rate of exergy supply or 2) utilize existing exergy supplies better to increase its internal work rate and functional complexity. These paths guide the evolution of both living and non-living systems.

scholarly journals Field of Energy

2018 ◽  
Vol 14 (2) ◽  
pp. 5546-5553
Author(s):  
Armando Tomás Canero ◽  
Marco Armando Canero
Keyword(s):  
Gravitational Field ◽  
Dimensional Space ◽  
Classical Mechanics ◽  
The Other ◽  
Conservation Of Energy ◽  
Energy Field ◽  
Fundamental Properties ◽  
Temporal Dimensions ◽  
Definition Of ◽  
General Response

The study of physics requires the definition of general characteristics such as the so-called fundamental properties of space and time, which are homogeneity and isotropy. From the application of the homogeneity of time in the integral equations of the movement arises the theorem of the conservation of energy. That the parameter of variation be time leads to defining energy as scalar. Relativistic mechanics has shown that time is one of the dimensions of a tetra-dimensional space and, therefore, an event is projected in the spatial and temporal dimensions, this projection varies according to the reference system that is used. This indicates that equating time to a dimension of space, should be analyzed not only under the condition of homogeneity but also of the isotropy. This leads to analyzing energy as a vector. In classical mechanics, a body moving in a gravitational field its energy can be decomposed in two directions, one that remains constant, normal to the field, and the other that varies with gravity. This shows vector properties of energy. This study proposes a more general response through the energy field.

scholarly journals A Contextual Foundation for Mechanics, Thermodynamics, and Evolution v.5

2021 ◽  
Author(s):  
Harrison Crecraft
Keyword(s):  
Conceptual Model ◽  
Classical Mechanics ◽  
Dissipative System ◽  
Objective Measure ◽  
Second Law Of Thermodynamics ◽  
Physical Reality ◽  
Internal Work ◽  
Measurable Rate ◽  
Production Of Entropy ◽  
Fundamental Physical

The prevailing interpretations of physics are based on deeply entrenched assumptions, rooted in classical mechanics. Logical implications include: the denial of entropy and irreversible change as fundamental physical properties; the inability to explain random quantum measurements or nonlocality without untestable and implausible metaphysical implications; and the inability to define complexity or explain its evolution. We propose a conceptual model based on empirically justifiable assumptions. The WYSIWYG Conceptual Model (WCM) assumes no hidden properties: “What You can See Is What You Get.” The WCM defines a system’s state in the context of its actual ambient background, and it extends existing models of physical reality by defining entropy and exergy as objective contextual properties of state. The WCM establishes the irreversible production of entropy and the Second law of thermodynamics as a fundamental law of physics. It defines a dissipative system’s measurable rate of internal work as an objective measure of stability of its dissipative process. A dissipative system can follow either of two paths toward higher stability: it can 1) increase its rate of exergy supply (and maximize entropy production) or 2) utilize existing exergy supplies better to increase its internal work rate and functional complexity. These paths guide the evolution of both living and non-living systems.

More on Dombi operations and Dombi aggregation operators for q-rung orthopair fuzzy values

2020 ◽  
Vol 39 (3) ◽  
pp. 3715-3735
Author(s):  
Wen Sheng Du
Keyword(s):  
Decision Making ◽  
Aggregation Operators ◽  
Weighted Averaging ◽  
Fundamental Properties ◽  
Fuzzy Environment ◽  
Investment Companies ◽  
Special Cases ◽  
Shift Invariance ◽  
Definition Of ◽  
Dombi Operations

Dombi operations which include the Dombi product and Dombi sum are special cases of t-norms and t-conorms besides the algebraic operations. Recently, operations and aggregation operators for q-rung orthopair fuzzy values (q-ROFVs) based on Dombi operations were proposed. In this paper, we further discuss some additional issues relating to Dombi operations and Dombi aggregation operators of q-ROFVs. First, we give a reasonable explanation for the definition of the Dombi scalar multiplication and Dombi exponentiation which are constructed respectively by the Dombi sum and Dombi product over q-ROFVs, and then investigate the fundamental properties of these operations. Subsequently, the shift-invariance and homogeneity properties of the q-rung orthopair fuzzy Dombi weighted averaging/geometric operators are analyzed. And the boundedness of aforementioned aggregation operators are precisely characterized with respect to the parameter in Dombi operations. Finally, a method for multiattribute decision making is proposed by utilizing the developed operators under the q-rung orthopair fuzzy environment and an example of the selection of investment companies is given to illustrate the detailed decision making process.

scholarly journals A remark on local fractional calculus and ordinary derivatives

2016 ◽  
Vol 14 (1) ◽  
pp. 1122-1124 ◽  
Author(s):  
Ricardo Almeida ◽  
Małgorzata Guzowska ◽  
Tatiana Odzijewicz
Keyword(s):  
Fractional Calculus ◽  
Fractional Derivative ◽  
Short Note ◽  
General Definition ◽  
Local Fractional Derivative ◽  
Fundamental Properties ◽  
Local Fractional Calculus ◽  
Definition Of

AbstractIn this short note we present a new general definition of local fractional derivative, that depends on an unknown kernel. For some appropriate choices of the kernel we obtain some known cases. We establish a relation between this new concept and ordinary differentiation. Using such formula, most of the fundamental properties of the fractional derivative can be derived directly.

scholarly journals Hermite–Hadamard-type inequalities for the interval-valued approximately h-convex functions via generalized fractional integrals

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Dafang Zhao ◽  
Muhammad Aamir Ali ◽  
Artion Kashuri ◽  
Hüseyin Budak ◽  
Mehmet Zeki Sarikaya
Keyword(s):  
Convex Functions ◽  
Fractional Integrals ◽  
Special Cases ◽  
Definition Of ◽  
The Given ◽  
Class Of Functions ◽  
Interval Valued ◽  
New Inequalities

Abstract In this paper, we present a new definition of interval-valued convex functions depending on the given function which is called “interval-valued approximately h-convex functions”. We establish some inequalities of Hermite–Hadamard type for a newly defined class of functions by using generalized fractional integrals. Our new inequalities are the extensions of previously obtained results like (D.F. Zhao et al. in J. Inequal. Appl. 2018(1):302, 2018 and H. Budak et al. in Proc. Am. Math. Soc., 2019). We also discussed some special cases from our main results.

scholarly journals £-Single Valued Extremally Disconnected Ideal Neutrosophic Topological Spaces

Symmetry ◽  
2020 ◽  
Vol 13 (1) ◽  
pp. 53
Author(s):  
Fahad Alsharari
Keyword(s):  
Topological Spaces ◽  
Neutrosophic Sets ◽  
Extremally Disconnected ◽  
Fundamental Properties ◽  
Separation Axioms ◽  
New Concepts ◽  
Definition Of

This paper aims to mark out new concepts of r-single valued neutrosophic sets, called r-single valued neutrosophic £-closed and £-open sets. The definition of £-single valued neutrosophic irresolute mapping is provided and its characteristic properties are discussed. Moreover, the concepts of £-single valued neutrosophic extremally disconnected and £-single valued neutrosophic normal spaces are established. As a result, a useful implication diagram between the r-single valued neutrosophic ideal open sets is obtained. Finally, some kinds of separation axioms, namely r-single valued neutrosophic ideal-Ri (r-SVNIRi, for short), where i={0,1,2,3}, and r-single valued neutrosophic ideal-Tj (r-SVNITj, for short), where j={1,2,212,3,4}, are introduced. Some of their characterizations, fundamental properties, and the relations between these notions have been studied.

Generalized Riemann spaces

1956 ◽  
Vol 52 (4) ◽  
pp. 623-625 ◽  
Author(s):  
John Moffat
Keyword(s):  
Curvature Tensor ◽  
Physical Theory ◽  
Dimensional Space ◽  
Riemann Space ◽  
Recent Attempt ◽  
Fundamental Tensor ◽  
Fundamental Properties ◽  
Complex Symmetric ◽  
Definition Of ◽  
Generalized Curvature Tensor

ABSTRACTThe recent attempt at a physical interpretation of non-Riemannian spaces by Einstein (1, 2) has stimulated a study of these spaces (3–8). The usual definition of a non-Riemannian space is one of n dimensions with which is associated an asymmetric fundamental tensor, an asymmetric linear affine connexion and a generalized curvature tensor. We can also consider an n-dimensional space with which is associated a complex symmetric fundamental tensor, a complex symmetric affine connexion and a generalized curvature tensor based on these. Some aspects of this space can be compared with those of a Riemann space endowed with two metrics (9). In the following the fundamental properties of this non-Riemannian manifold will be developed, so that the relation between the geometry and physical theory may be studied.

scholarly journals Certain fundamental properties of generalized natural transform in generalized spaces

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Shrideh Khalaf Al-Omari ◽  
Serkan Araci
Keyword(s):  
Inversion Formula ◽  
Acta Math ◽  
Generalized Functions ◽  
General Nature ◽  
Qualitative Behavior ◽  
Fundamental Properties ◽  
Integrable Functions ◽  
Extended Operator ◽  
Definition Of ◽  
Space Of Integrable Functions

AbstractThis paper considers the definition and the properties of the generalized natural transform on sets of generalized functions. Convolution products, convolution theorems, and spaces of Boehmians are described in a form of auxiliary results. The constructed spaces of Boehmians are achieved and fulfilled by pursuing a deep analysis on a set of delta sequences and axioms which have mitigated the construction of the generalized spaces. Such results are exploited in emphasizing the virtual definition of the generalized natural transform on the addressed sets of Boehmians. The constructed spaces, inspired from their general nature, generalize the space of integrable functions of Srivastava et al. (Acta Math. Sci. 35B:1386–1400, 2015) and, subsequently, the extended operator with its good qualitative behavior generalizes the classical natural transform. Various continuous embeddings of potential interests are introduced and discussed between the space of integrable functions and the space of integrable Boehmians. On another aspect as well, several characteristics of the extended operator and its inversion formula are discussed.

Sign in / Sign up

Export Citation Format

Share Document