Wandering in quantum researches should lead to the rational goal - understanding. All history of the science shows how meaningful mathematical laws in physics, engineering, chemistry, etc., arose on the ground of rational human practice. I would like show that in the contradictory development of quantum physics, the theory ultimately follows the same line. ``Elementary particles do exist. This fact does not depend on the procedure of a measurement. The existence, however, requires some description that mostly based on relations between measurable values. Our goal is to bridge this objective reality and its mental reflection. It is assumed that existence should be based on the invariant relations between measurable values. What kind of the invariance should be used?
Wandering in quantum researches should lead to the rational goal - understanding. All history of the science shows how meaningful mathematical laws in physics, engineering, chemistry, etc., arose on the ground of rational human practice. I would like show that in the contradictory development of quantum physics, the theory ultimately follows the same line. ``Elementary particles do exist. This fact does not depend on the procedure of a measurement. The existence, however, requires some description that mostly based on relations between measurable values. Our goal is to bridge this objective reality and its mental reflection. It is assumed that existence should be based on the invariant relations between measurable values. What kind of the invariance should be used?
This paper re-opens the debate on the failure of quantum mechanics to provide an understandable view of micro-reality. A critique is offered of the commonly accepted ‘Copenhagen Interpretation’ of a theory that is only a mathematical approach to the level of reality characterized by atoms and electrons. This critique is based on the oldest approach to thinking about nature for over 2500 years, known as Natural Philosophy. Quantum mechanics (QM) was developed over the first quarter of the 20th Century, when scientists were enthralled by a new philosophy known as Positivism, whose foundations were based on the assumption that material objects exist only when measured by humans – this central assumption conflates epistemology (knowledge) with ontology (existence). The present critique rejects this human-centered view of reality by assuming material reality has existed long before (and will persist long after) human beings (“Realism”). The defensive view that the micro-world is too different to understand using regular thinking (and only a mathematical approach is possible) is rejected totally. At least 12 earlier QM interpretations are critically analyzed, indicating the broad interest in “what does QM mean?” The standard theory of quantum mechanics is thus constructed on only how the micro-world appears to macro measurements - as such, it cannot offer any view of how the foundations of the world are acting when humans are not observing it - this has generated almost 100 years of confusion and contradiction at the very heart of physics. Significantly, we live in a world that is not being measured by scientists but is interacting with itself and with us. QM has failed to provide explanations: only recipes (meaningless equations), not insights. Physics has returned to the pre-Newtonian world of Ptolemaic phenomenology: only verifiable numbers without real understanding. The focus needs to be on an explicit linkage between the micro-world, when left to itself, and our mental models of this sphere of material reality, via the mechanism of measurement. This limits the role of measurement to confirming our mental models of reality but never confusing these with a direct image of ‘the thing in itself’. This implies a deep divide between reality and appearances, as Kant suggested. This paper includes an original analysis of several major assumptions that have been implicit in Classical Mechanics (CM) that were acceptable in the macroscopic domain of reality, demonstrated by its proven successes. Unfortunately, only a few of these assumptions were challenged by the developers of QM. We now show that these other assumptions are still generating confusions in the interpretation of QM and blocking further progress in the understanding of the microscopic domain. Several of these flawed assumptions were introduced by Newton to support the use of continuum mathematics as a model of nature. This paper proposes that it is the attempt to preserve continuum mathematics (especially calculus), which drives much of the mystery and confusion behind all attempts at understanding quantum mechanics. The introduction of discrete mathematics is proposed to help analyze the discrete interactions between the quintessential quantum objects: the electrons and their novel properties. A related paper demonstrates that it is possible to create a point-particle theory of electrons that explains all their peculiar (and ‘paradoxical’) behavior using only physical hypotheses and discrete mathematics without introducing the continuum mathematical ideas of fields or waves. Another (related) paper proves that all the known results for the hydrogen atom can also be exactly calculated from this new perspective with the discrete mathematics. * Surrey, B.C. Canada (604) 542-2299 spsi99@telus.net Version 2.015 08-05-2017 Begun 23-06-2008 {pp. 82, 70.2 Kw; 800 KB}
The laws of physics were not handed down from above. Neither are they rules somehow built into the structure of the universe. They are ingredients of the models that physicists invent to describe observations. Rather than being restrictions on the behavior of matter, the laws of physics are restrictions on the behavior of physicists. If the models of physics are to describe observations based on an objective reality, then those models cannot depend on the point of view of the observer. This suggests a principle of point-of-view invariance that is equivalent to the principle of covariance when applied to space-time. As Noether showed, space-time symmetries lead to the principles of energy, linear momentum, and angular momentum conservation--essentially all of classical mechanics. It also leads to Lorentz invariance and special relativity. When generalized to the abstract space of functions such as the quantum state vector, point-of-view invariance is identified with gauge invariance. Quantum mechanics is then just the mathematics of gauge transformations with no additional assumptions needed to obtain its rules, including the superposition and uncertainty principles. The conservation and quantization of electric charge follow from global gauge invariance. The electromagnetic force is introduced to preserve local gauge invariance. Although not discussed here, the other forces in the standard model of elementary particles are also fields introduced to preserve local gauge invariance. Gravity can also be viewed as such a field. Thus practically all of fundamental physics as we know it follows directly from the single principle of point-of-view invariance.
Despite its enormous practical success, quantum theory is so contrary to intuition that, even after 45 years, the experts themselves still do not all agree what to make of it. The area of disagreement centers primarily around the problem of describing observations. Formally, the result of a measurement is a superposition of vectors, each representing the quantity being observed as having one of its possible values. The question that has to be answered is how this superposition can be reconciled with the fact that in practice we only observe one value. How is the measuring instrument prodded into making up its mind which value it has observed?
Today, many concepts from the dictionaries of academic psychology have entered the language of everyday communication. Perhaps the most common are the concepts of «subjective» and «objective». In many textbooks of psychology, «objective» is understood as something that belongs to the object itself, something that does not depend on the subject. The objective is opposed to the subjective-personal. Experimental research in the field of quantum physics questioned the division of the world into an impartial «objective reality» and its «subjective» (not impartial, biased) reflection, which provoked a crisis in this field of knowledge and the methodology of science as a whole. The main methodological problems of psychology are the question of the place of the mental in nature; on the relationship of mental and material phenomena, on the possibilities of human cognition - questions that also arose in the depths of quantum physics and were predetermined by the internal logic of their development. An excursion into quantum physics was necessary, firstly, for a deep understanding that reality is given to us in our sensations, perceptions, ideas and mental constructs (this was evidenced by the so-called «double slit experiment» and its interpretations) and we cannot say anything about reality as it is «in itself»; secondly, the realization that the foundations on which our knowledge is built differ from those in quantum physics. Currently, there is a dichotomy between material (physical) and conceptual reality. Thus, the principle of locality, which professes ordinary consciousness and according to which specific objects occupy a specific place in time and space, contradicts the principle of non-locality, according to which isolated systems do not exist at all and every particle of the universe is in «instantaneous» communication with all other particles. The world is created from the same quantum substance and it is impossible to say that one is the cause of the other. (This statement implies, in particular, a rethinking of the «principle of determinism» which requires the establishment of unambiguous causal relationships). The reality in which we live is not quantum, our language and stereotypes of thinking do not correspond to the nature of the phenomena described by quantum physics. It is about the deep properties of matter. Personally, I got the impression that the deeper you plunge into the world of atomic and subatomic, the more the outlines of the specific, material world familiar to us become blurred and the thinner the line between the physical and conceptual world, between the material and the spiritual becomes. The purpose of this article is to define the concepts of "objective" and "subjective" based on the analysis of achievements in quantum physics in the context of psychology.
In this project I am going to explore how the boundaries of our reality are conditioned by metaphysical principles. I will argue, in the spirit of Immanuel Kant, that these metaphysical principles also ground our knowledge and description of the natural sciences, and more specifically, within quantum physics. My main objective is to study the framework of our cognition of knowledge along the lines of model-dependent reality. We will see why in the science of physics, a paradigm shift was needed to be able to expand and account for new knowledge, along with novel discoveries. This newer theory of knowledge and newer framework, being quantum theory, reflects that our objective knowledge must always contain an element of the subjective observer. This leads us to re-think what we understand to be ‘objective’ reality. The so-called human standpoint becomes one of the main themes in this thesis, then. When we ask ourselves, “Where does reality begin and where does it end? What are the limits to our reality?” – I shall argue that it both starts and ends with the transcendental subject, as this specific subject is what conditions our experience, and is found at the boundaries of our reality. Thus, in thesis I will ultimately argue for a different notion of objective knowledge because of what sets the boundaries of our reality.