Mathematics – Logic
Scientific paper
Apr 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003aps..apr.q1014k&link_type=abstract
American Physical Society, April Meeting, 2003, April 5-8, 2003 Philadelphia, Pennsylvania, MEETING ID: APR03, abstract #Q1.014
Mathematics
Logic
Scientific paper
A new theory of the system of reference is suggested. It represents the new point of view which has arisen from the critical analysis of the foundations of physics (in particular, the theory of relativity and quantum mechanics), mathematics, cosmology and philosophy. The main idea following from the analysis is that the correct concept of system of reference represents a key to comprehension of many basic logic errors which are in modern physics. The starting point of the theory is represented by the philosophical (dialectical materialistic) principles, in particular, the gnosiological principle. (The gnosiological principle is briefly formulated as follows. The purpose of a science is to know the laws of the Nature. The law is a form of scientific knowledge of the essence and the phenomenon. The essence is the internal basis of the phenomenon, and the phenomenon is the manifestation of the essence. Human practice is a basis of knowledge and a criterion of truth). These principles lead to the following statements. (1) The reality is the dialectical unity of the opposites: the objective reality and the non-objective (subjective) reality. (2) The system mankind + means of knowledge belongs to the subjective reality and is called system of reference. In this wide sense, the system of reference is the universal informational gnostic basis (i.e. the system consisting of natural objects and processes, of constructed devices and instruments, of sum of human knowledge and skills) created and used by mankind for the purpose of knowledge of the world. (3) The opposites are bounds of each other. Hence, the principle of objectivity of the physical laws is formulated as follows: the objective physical laws must not contain mentions of system of reference (in particular, references to procedure of measurement or of calculation). (4) The main informational property of the unitary system set of researches physical objects + system of reference is that the system of reference determines (measures, calculates) the parameters of the subsystem set of researched physical objects (for example, the coordinates x_M, y_M, zM of the object M); the parameters characterize the system of reference (for example, the system of coordinates). (5) The main gnostic property of the unitary system set of researches physical objects + system of reference is that the system of reference defines (formulates) the physical laws (i.e. creates the theories); the physical laws characterize the system of reference. (6) The parameters which take on values independently of existence of the researched physical objects characterize the system of reference. For example, the clock C, a part of the system of reference S, determines (but it does not measure!) the time t_C; the time tC characterizes the clock C. If all clocks have been synchronized, the universal time tS characterizes the system of reference S. (7) Researched physical object M and a clock are mutually independent objects. Hence, the coordinates x_M, y_M, zM and the time tS are mutually independent parameters. (8) The informational one-to-one correspondence between motion of object M and physical clock-process in clock is established (is defined) by man. For example, it has a form: dx_M/dtS ≡ v_x_M. Consequences: (a) information about the world is an ordered information because the system of reference S is an ordered and universal system. This information is an objective one if it does not depend on a system of reference; (b) mathematical operations on physical quantities with the coordinates and with the time are allowed by the laws of logic because the set of researches physical objects + system of reference is a unitary system; (c) the principle of existence and of transformation of coordinates: there are no coordinates and no transformation of coordinates in general, and there exist the coordinates x_M, y_M, zM and transformation of the coordinates x_M, y_M, zM of the object M only; (d) the special and general theories of relativity are an erroneous theories because their foundations, firstly, do not satisfy the principle of objectivity of the physical laws, secondly, they contradict the principle of transformation of coordinates and, thirdly, they assume mutual dependence between the researched physical object and a clock (i.e. between coordinates and time); (e) quantum mechanics does not satisfy the principle of objectivity of the physical laws.
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