Τherefore the force F, applied for a finite time and space interval will cause a change in the momentum and energy of the body in accordance with the formulae: However, Δx and Δt are fully undefined, since the parameters p and E of eqns. Δx=nS q and Δt=n?t q, however accurate the experimental conditions are. These intervals cannot be as small as we wish: it is in this that the differentiation with classical science is manifested. This disturbance is caused by the application of a force F on the system, which will act for a spatial interval Δx and time interval Δt. In particular, the disturbance caused to a microcosmic system is not negligible. It is known that any measurement of a physical magnitude causes an alteration in the state of the system in which the measurement takes place. The physical existence of the “point” of space-time will give a new meaning to the uncertainty principles. (1) and (2), the quantification of the action follows naturally, since Action=(energy) × (time), so: So the existence and the trajectories of the material particles are not continuous.įrom eqns. These two quantities are the point and the instant of the specific cosmic line. The material body cannot trace an orbit of less than S q and the description of its behaviour is limited temporally by t q to durations longer than t q. Where E is the energy of the body/particle and t q=h/E the “instant” in time of the course of the body. Thus, if (ε) is the cosmic line of a body between the events A 1(x 1,t 1) and A 2(x 2,t 2), we accept that the distance x 2-x 1 is equal to a finite number of “points” each of length S q=h/p, where h is Planck’s constant and p the momentum of the body, namely:įurthermore, the difference t 2-t 1=n h/E, (2) Having linked the geodesic of space-time with the orbit of a free body, it follows that our proposed interpretation of the concepts point in space and instant in time will be related to bodies and their motions. In this paper we shall attribute a physical sense to the “event” of flat space-time: The point in space and the instant in time. Uncertainty Principles, Photon Matter Waves and Geometry The disappearing of causality in atomic field and the limitation on the classical concept that the behaviour of atomic systems can be described independently of the means by which they are observed, must be explained in a more physical sense through the matrix of all the descriptions: the space-time. the uncertainty principle and the complementarity principle are in some way metaphysics. The two principles that express in qualitative terms the axiomatic basis of quantum mechanics viz. These results are the new interpretation of photon, of matter waves and complementarity, Bohr’s postulates, as mathematical conclusions in the bases of Calculus. The results of the discontinuity of space time, gives a new meaning in the foundations of quantum mechanics. This new interpretation of uncertainty principles derives new conclusions in wave theory. The uncertainty principles are attributed to the space-time through the physicisation of the geometrical concept of “point”. These are the “point” and the “moment” in space and time respectively. Every orbit of a material particle is composed of a finite number of parts of space lengths and time durations which depend on the particle’s momentum and energy.
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