Quantum theory treats rigorously of observables while the term “observer” is hardly itself a rigorous notion. We argue that the uncertainty principle must be understood in the Godel sense that: any given observer constitutes own practical definition of “the unobservable” (if superposition) or namely length scale, phase space, fundamental frequency etc. Conversely, the observable is definable strictly only in inverse-observer values as, that is, the “wave function collapse” or respectively, inverse-length, phase-point, harmonics. One has thus a picture of the observer that in being participant is also non-local as in Godel’s “consistency-is-undecidable” or Planck’s “the-constant-is-the-uncertainty” or indeed Einstein’s “speed-of-light-is-information-speed-limit”. Definitive of these three cases, we assert, is Peano’s (and Noether’s?) notion of the constant (our “observer”) as being for any gamut of events the meta-state (“conserved current”). Meaning now, it is the observer per se, and not his observables, which should constitute violation of Bell’s inequality—say, as the infinitesimal/imaginary axis or as the dimensionless/infinite-dimensional etc. We posit: any given observer signifies the virtual exchange of standard model or space-time of GR or just the metric (norm)—defined by the singular trait that it is the de facto “superposition” i.e. natural unit and natural limit of physical information. Observables emerge quite directly thus as the perturbations if “decoherence” or “spontaneous symmetry breaking” of the observer. Now this status of/or the observer we call rather the entity as against hitherto the uncertainty; difference is that we have an ontic as the uncertainty per se. For a prediction we show here an exact value demonstrating man as the entity or “natural unit” for quantum gravity. The idea is that in being to ourselves the most authentic sample of the term observer we should also represent to ourselves the purest sample possible of the term wave function.
The aim of this paper is to derive the uncertainty principle which has implications in signal analysis and in quantum mechanics. First, we derive the definition of the wavelet transform in [Formula: see text]-calculus by using some weight function. Certain properties like linearity, scaling, translation, etc. were discussed. Later on, to illustrate this integral transform several results were derived for the effectiveness and performance of the proposed method. Also, this paper surveys recent applications to establish generalized uncertainty principle.
This paper is a small discussion about the uncertainty principle. With the great discoveries and researches made by predecessors, I try to answer some questions within the uncertainty principle. Using the definition of momentum, the momentum in de Broglie wave, the property of cosine function, the Euler’s formula, the basic property of plane wave, the law of derivative, the energy of quantum discovered by Max Planck, the photon energy discovered by Albert Einstein, the energy equation of a system and the Hamiltonian operator, I figure out the Schrodinger equation successfully. With the help of Schrodinger equation, the possibility density of a wave function, the concept of normalization, the average value of position and momentum, the Fourier transform, the integration by parts and the limit of normalized wave functions, I find the position operator and the momentum operator. Then using some knowledge of the standard deviation and the variance, the concept of inner product of vectors, some property of Dirac symbol, the law of calculation of complex number and the law of operator calculation, I obtain the general uncertainty relationship of abstract mathematical quantities. According to the general relationship, I get the inequality of uncertainty principle, and discuss the specific relationship between the position and the momentum. After getting the inequality, I use Heisenberg’s experiment of measuring an electron by using the γ ray to hit the electron to explain why we cannot measure the position and the momentum simultaneously. Based on Heisenberg’s experiment, I give my own explanation by discussing the earth and a spacecraft. Transforming the perspective, we can easily see how the accuracies of position and momentum change. In addition, I attempt to figure out why the uncertainty exists. However, I can only explain it by discussing the time and frequency in mathematical method and have no idea to work it out in a pure physics approach.