Space, Time and Motion

Author(s):  
Helmut Günther ◽  
Volker Müller
Keyword(s):  
1986 ◽  
Vol 175 (2) ◽  
pp. 138-144 ◽  
Author(s):  
Hiroyuki Hata ◽  
Katsumi Itoh ◽  
Taichiro Kugo ◽  
Hiroshi Kunitomo ◽  
Kaku Ogawa

Author(s):  
Ian Stewart

‘Historical views of infinity’ focuses on historical attitudes to infinity in philosophy, religion, and mathematics, including Zeno’s famous paradoxes. Infinity is not a thing, but a concept, related to the default workings of the human mind. Zeno’s paradoxes appear to be about physical reality, but they mainly address how we think about space, time, and motion. A central (but possibly dated) contribution was Aristotle’s distinction between actual and potential infinity. Theologians, from Origen to Aquinas, sharpened the debate, and philosophers such as Immanuel Kant took up the challenge. Mathematicians made radical advances, often against resistance from philosophers.


Metascience ◽  
2011 ◽  
Vol 21 (2) ◽  
pp. 485-488
Author(s):  
Christian Wüthrich
Keyword(s):  

Open Physics ◽  
2013 ◽  
Vol 11 (3) ◽  
Author(s):  
Kostadin Trenčevski

AbstractIn this paper an alternative theory about space-time is given. First some preliminaries about 3-dimensional time and the reasons for its introduction are presented. Alongside the 3-dimensional space (S) the 3-dimensional space of spatial rotations (SR) is considered independently from the 3-dimensional space. Then it is given a model of the universe, based on the Lie groups of real and complex orthogonal 3 × 3 matrices in this 3+3+3-dimensional space. Special attention is dedicated for introduction and study of the space S × SR, which appears to be isomorphic to SO(3,ℝ) × SO(3,ℝ) or S 3 × S 3. The influence of the gravitational acceleration to the spinning bodies is considered. Some important applications of these results about spinning bodies are given, which naturally lead to violation of Newton’s third law in its classical formulation. The precession of the spinning axis is also considered.


1976 ◽  
Vol 26 (105) ◽  
pp. 371
Author(s):  
Peter Smith ◽  
Wesley C. Salmon
Keyword(s):  

2017 ◽  
Vol 21 (4) ◽  
pp. 572-581
Author(s):  
V.I. Panov ◽  

Author(s):  
Andrew Janiak

Isaac Newton had a vexed relationship with his most important immediate predecessor in mathematics and philosophy, René Descartes. He was typically loath to admit the importance of Cartesian ideas for the development of his own thinking in mathematics and natural philosophy. For this reason, generations of students and scholars relying on Newton’s published work had little inkling of Descartes’s significance. This unfortunate fact was compounded by the tendency of philosophers to focus on the Meditations or the Regulae in their scholarship, for it was Descartes’s Principles above all that influenced Newton’s thinking as a young man. With the discovery of a previously unpublished manuscript amongst Newton’s papers by two famous historians of science in the middle of the twentieth century, everything changed. The manuscript, now known as De Gravitatione after its first line, illustrates the astonishing care with which Newton read the Principles, focusing his critical acumen on Descartes’s understanding of space, time, and motion. These criticisms of Descartes, in turn, shine light on otherwise opaque passages in Newton’s most significant published discussion of space, time, and motion, the Scholium in Principia mathematica. Indeed, the very title of the latter work represents both an homage to, and a swipe at, Descartes’s work: Newton would offer mathematical principles of natural philosophy to replace Descartes’s qualitative account. It is not a stretch to say that Newton saw further because he stood on Descartes’s shoulders, even if he wouldn’t admit it publicly.


1983 ◽  
Author(s):  
K. M. Newell ◽  
P. A. Hancock

Author(s):  
Mohammad Ghani

AbstractWe are concerned with the study the differential equation problem of space-time and motion for the case of advection-diffusion equation. We derive the advection-diffusion equation from the conservation of mass, where this can be represented by the substance flow in and flow out through the medium. In this case, the concentration of substance and rate of flow of substance in a medium are smooth functions which is useful to generate advection-diffusion equation. A special case of the advection-diffusion equation and numerical results are also given in this paper. We use explicit and implicit finite differences method for numerical results implemented in MATLAB.Keywords: advection-diffusion; space-time; motion; finite difference method. AbstrakKami tertarik untuk mempelajari masalah persamaan diferensial ruang-waktu, dan gerak untuk kasus persamaan adveksi-difusi. Kita menurunkan persamaan adveksi-difusi dari kekekalan massa, di mana hal ini dapat diwakili oleh aliran zat yang masuk dan keluar melalui media. Dalam hal ini konsentrasi zat dan laju aliran zat dalam suatu medium merupakan fungsi halus yang berguna untuk menghasilkan persamaan adveksi-difusi. Sebuah kasus khusus persamaan adveksi-difusi dan hasil numerik juga diberikan dalam makalah ini. Kami menggunakan metode beda hingga explisit dan implisit untuk hasil numerik yang diimplementasikan dalam MATLAB.Kata kunci: adveksi-difusi; ruang-waktu; gerak; metode beda hingga.


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