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Nature Has no Faithful Mathematical Representation

Roger Schlafly

Published Jun 1, 2012• 0 citations
OpenAlex

Abstract

Much of modern theoretical physics assumes that the true nature of reality is mathematics. This is a great mistake. The assumption underlies most of the paradoxes of quantum mechanics, and has no empirical justification. Accepting that the assumption is wrong will allow physics and mathematics to progress as distinct disciplines.

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Problems of Quantum Mechanics (UET7B)

H. J. Spencer

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}

•May 1, 2017•0 citations

Can We Consider Quantum Mechanics to Be a Description of Reality?

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Mathematics is an artificial symbolic logical system whose evaluation standard lies only in internal self consistency. Its core function is to fit observed phenomena. When deduction hits obstacles, mathematics can expand definitions extend number fields or change calculation frameworks to bypass difficulties. As long as logic forms a closed loop this operation is valid within the scope of mathematics. Imaginary number systems and calculus are typical examples. They are internally self consistent and efficient for calculation as computing tools but the tools themselves do not equal objective reality. Mathematical systems face no punishment from objective reality. When contradictions appear in deduction researchers only need to adjust rules and refit data. Physics takes objective reality and causal chains independent of human cognition as its foundation. The only judging standard comes from the real natural world. Physics cannot bypass fundamental contradictions by makeshift assumptions. This paper clarifies a critical dividing line. Success in engineering application never proves the correctness of the underlying physical theory supporting that engineering. Many technical achievements come from empirical exploration and repeated trial and error. Researchers build devices and obtain effects first. Theories are proposed later to fit collected data. Those theories do not reveal the real causal mechanism in advance. Newtonian mechanics is an approximate description valid under limited conditions. It has clear application boundaries and its underlying causal framework does not deliberately avoid core contradictions. Interpretations such as superposition and Schrodinger cat that describes simultaneous life and death are different. They deliberately bypass microscopic dynamic mechanisms and modify the inherent properties of matter to adapt to mathematical frameworks. These two cases have essential differences. Even if a deviated underlying physical mechanism can produce usable calculation schemes or even drive engineering progress it does not prove the foundation is correct. If basic assumptions depart from reality all derived conclusions must be revised from the root instead of adding surface patches. Part of the difficulties in modern fundamental physics arise from three types of confusion. Confusion between mathematical fitting and physical reality. Confusion between empirical engineering success and the truth of underlying physical mechanism. Confusion between well bounded approximate theories and patchwork assumptions made to avoid contradictions. If researchers keep stacking derived models on a shifted physical foundation the system will accumulate internal inconsistencies. Even with delicate local mathematical fitting the whole theory will eventually collapse logically just like a tall dangerous building built on skewed ground. This paper analyzes the differences between mathematics and physics the long term theoretical risks of bypassing contradictions and the boundary between engineering success and physical theoretical success. It proposes that fundamental physics must stick to objective reality and closed causality.

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arXiv:1903.08673•Mar 20, 2019•1 citation

Natural Philosophical Critique of Quantum Mechanics

H. J. Spencer

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. 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 to understand 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. Additionally, several hidden major assumptions have been present in Classical Mechanics (represented by continuum mathematics) since its inception by Newton that are blocking progress and understanding of quantum mechanics. A related paper demonstrates that it is possible to create a point-particle theory of electrons that explains all their peculiar (and ‘paradoxical’) behavior without introducing the continuum mathematical ideas of fields or waves. * Surrey, B.C. Canada (604) 542-2299 spsi99@telus.net Version 1.195 10-07-2016 Begun 23-06-2008 {pp. 80, 70.4 Kw; 800 KB}

•Dec 1, 2016•0 citations
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}
Mathematics is an artificial symbolic logical system whose evaluation standard lies only in internal self consistency. Its core function is to fit observed phenomena. When deduction hits obstacles, mathematics can expand definitions extend number fields or change calculation frameworks to bypass difficulties. As long as logic forms a closed loop this operation is valid within the scope of mathematics. Imaginary number systems and calculus are typical examples. They are internally self consistent and efficient for calculation as computing tools but the tools themselves do not equal objective reality. Mathematical systems face no punishment from objective reality. When contradictions appear in deduction researchers only need to adjust rules and refit data. Physics takes objective reality and causal chains independent of human cognition as its foundation. The only judging standard comes from the real natural world. Physics cannot bypass fundamental contradictions by makeshift assumptions. This paper clarifies a critical dividing line. Success in engineering application never proves the correctness of the underlying physical theory supporting that engineering. Many technical achievements come from empirical exploration and repeated trial and error. Researchers build devices and obtain effects first. Theories are proposed later to fit collected data. Those theories do not reveal the real causal mechanism in advance. Newtonian mechanics is an approximate description valid under limited conditions. It has clear application boundaries and its underlying causal framework does not deliberately avoid core contradictions. Interpretations such as superposition and Schrodinger cat that describes simultaneous life and death are different. They deliberately bypass microscopic dynamic mechanisms and modify the inherent properties of matter to adapt to mathematical frameworks. These two cases have essential differences. Even if a deviated underlying physical mechanism can produce usable calculation schemes or even drive engineering progress it does not prove the foundation is correct. If basic assumptions depart from reality all derived conclusions must be revised from the root instead of adding surface patches. Part of the difficulties in modern fundamental physics arise from three types of confusion. Confusion between mathematical fitting and physical reality. Confusion between empirical engineering success and the truth of underlying physical mechanism. Confusion between well bounded approximate theories and patchwork assumptions made to avoid contradictions. If researchers keep stacking derived models on a shifted physical foundation the system will accumulate internal inconsistencies. Even with delicate local mathematical fitting the whole theory will eventually collapse logically just like a tall dangerous building built on skewed ground. This paper analyzes the differences between mathematics and physics the long term theoretical risks of bypassing contradictions and the boundary between engineering success and physical theoretical success. It proposes that fundamental physics must stick to objective reality and closed causality.
The concept of "reality" is often raised in the context of philosophical foundations of physics or interpretations of quantum mechanics. When this term is so raised, it is a warning to me that I am about to be led down a rabbit hole. Such diversions usually lead nowhere unless you consider endless discussions of Schrodinger's cat, wave function collapse, quantum non-locality, and parallel universes to be useful. A prime example is the famous Einstein, Podolsky, and Rosen paper wherein they concluded that the quantum wave function cannot provide a complete description of physical reality. In this essay I suggest that, in physics discourse, the term "reality" should be avoided at all costs.
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. 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 to understand 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. Additionally, several hidden major assumptions have been present in Classical Mechanics (represented by continuum mathematics) since its inception by Newton that are blocking progress and understanding of quantum mechanics. A related paper demonstrates that it is possible to create a point-particle theory of electrons that explains all their peculiar (and ‘paradoxical’) behavior without introducing the continuum mathematical ideas of fields or waves. * Surrey, B.C. Canada (604) 542-2299 spsi99@telus.net Version 1.195 10-07-2016 Begun 23-06-2008 {pp. 80, 70.4 Kw; 800 KB}