Axiomatizing Relativistic Dynamics without Conservation Postulates
نویسندگان
چکیده
منابع مشابه
Axiomatizing Relativistic Dynamics without Conservation Postulates
A part of relativistic dynamics (or mechanics) is axiomatized by simple and purely geometrical axioms formulated within first-order logic. A geometrical proof of the formula connecting relativistic and rest masses of bodies is presented, leading up to a geometric explanation of Einstein’s famous E = mc. The connection of our geometrical axioms and the usual axioms on the conservation of mass, m...
متن کاملRelativistic dynamics without conservation laws
We show that relativistic dynamics can be approached without using conservation laws (conservation of momentum, of energy and of the centre of mass). Our approach avoids collisions that are not easy to teach without mnemonic aids. The derivations are based on the principle of relativity and on its direct consequence, the addition law of relativistic velocities.
متن کاملAxiomatizing relativistic dynamics using formal thought experiments
Thought experiments are widely used in the informal explanation of Relativity Theories; however, they are not present explicitly in formalized versions of Relativity Theory. In this paper, we present an axiom system of Special Relativity which is able to grasp thought experiments formally and explicitly. Moreover, using these thought experiments, we can provide an explicit definition of relativ...
متن کاملUpdate Postulates without Inertia
Starting from Katsuno and Mendelzon postulates, a new set of postulates which is minimal and complete has been deened, these postulates characterize an update operator. The update operator class which is obtained is larger than Katsuno and Mendelzon's one, since it includes updating operators which are not inert, and which allow for the existence of unreachable states. The main property is that...
متن کاملQuantum mechanics without statistical postulates
The Bohmian formulation of quantum mechanics is used in order to describe the measurement process in an intuitive way without a reduction postulate in the framework of a deterministic single system theory. Thereby the motion of the hidden classical particle is chaotic during almost all nontrivial measurement processes. For the correct reproduction of experimental results, it is further essentia...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Studia Logica
سال: 2008
ISSN: 0039-3215,1572-8730
DOI: 10.1007/s11225-008-9125-6