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Aims and Intention from Mindful Mathematics: The Encompassing Physicality of Geometric Clifford Algebra

P. Cameron, Michaele Suisse

Published Mar 1, 2017• 0 citations
OpenAlex

Abstract

The emergence of sentience in the physical world - the ability to sense, feel, and respond - is central to questions surrounding the mind-body problem. Cloaked in the modern mystery of the wavefunction and its many interpretations, the search for a solid fundamental foundation to which one might anchor a model trails back into antiquity. Given the rather astounding presumption that abstractions of the mathematician might somehow inform this quest, we examine the role of geometric algebra of 3D space and 4D spacetime in establishing the foundation needed to resolve contentions of quantum interpretations. The resulting geometric wavefunction permits gut-level intuitive visualization, clarifies confusion regarding observables and observers, and provides the solid quantum foundation essential for attempts to address emergence of the phenomenon of sentience.

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The emergence of sentience in the physical world - the ability to sense, feel, and respond - is central to questions surrounding the mind-body problem. Cloaked in the modern mystery of the wavefunction and its many interpretations, the search for a solid fundamental foundation to which one might anchor a model trails back into antiquity. Given the rather astounding presumption that abstractions of the mathematician might somehow inform this quest, we examine the role of geometric algebra of 3D space and 4D spacetime in establishing the foundation needed to resolve contentions of quantum interpretations. The resulting geometric wavefunction permits gut-level intuitive visualization, clarifies confusion regarding observables and observers, and provides the solid quantum foundation essential for attempts to address emergence of the phenomenon of sentience.
Quantum Interpretations seek to explain observables from formal theory. Impedances govern the flow of energy, are helpful in such attempts. An earlier note documented first efforts to resolve the interpretational ambiguities and contentions from the practical perspective of our model-based approach. In the interim, discovery of the deep connections between the impedance model and geometric Clifford algebra has shed new light on the measurement problem and its manifestations, which we revisit here.
In this paper we will address important considerations for the structure of a physical theory and the need and implications for the conscious observer and creator. Complementarity and reciprocity are dominate in the sttucture of the Quantum \'Vorld. It is clear that one's meaningful existence directly involves one's intent and acdon both mental and physical in consequence. Hence, it is vital ro undersrand what intemional will is, the manner in which it arises, as it relates to one's ethical responsibility the meaning of their life may also be considered in the context of intentional will and may be described and understOod. We investigate the role of conscious intention in the physical and mental world. In this paper, we examine the theoretical constructs of the properties of observational intention and their local and nonlocal effects on mind and matter. One begins by sensing a physical or psychic input and then becoming consciously aware of it as perceptions and thoughts which result in concepts developed for memories, reasoning and feelings. Then a thought and decision will be made and imention are carried into action in the physical and mental world. We proceed by investigating the role and action of the thought of intentional will and its role in quantum mechanics, its structure of the theoty and manner in which it appears ro demand a role for consciousness. In order to proceed with our investigation will present some of the basic tenants of quantum mechanics, the structure of the theoty and manner in which it appears ro demand a role for consciousness in quantum measurement and its non local intentional interaction. The quantum theory gives us two inescapable conclusions: J) we are intimaly linked ro the world as participatory observers, and 2) nonlocal remote connections and interactions are shown to be parr of our world process. Discoveries, and/or creations of new concepts in physics lead ro the observer/participant issue. Quantum mechanics, the theory of atomic microcosm, is a description that may imply that the observer has an impact on the observed, that rhe observer has an effect on what is observed. The relativity theory scems to imply that the state of the observer affecrs his interpretation of what he sees. In the context of quantum theoty and relativity, we may be able to shed light on the relationship of discovery as well as creation and irs validation of the properties of an external reality. In quantum physics, as well as in the structure of n-dimensional relativistic models, the implication for a fundamental remore connection of events is deeply implied by the structure of these models and their experimental test and we can use this property for our experimental models of the properties of consciousness. The structure of physical theoty, its very fabric, is pointing towards a world view that speaks of concepts which have been considered external to the body of science but yet may be implied by modern physical theoty itself.
How is mind related to matter? This ancient question in philosophy is rapidly becoming a core problem in science, perhaps the most important of all because it probes the essential nature of man himself. The origin of the problem is a conflict between the mechanical conception of human beings that arises from the precepts of classical physical theory and the very different idea that arises from our intuition: the former reduces each of us to an automaton, while the latter allows our thoughts to guide our actions. The dominant contemporary approaches to the problem attempt to resolve this conflict by clinging to the classical concepts, and trying to explain away our misleading intuition. But a detailed argument given here shows why, in a scientific approach to this problem, it is necessary to use the more basic principles of quantum physics, which bring the observer into the dynamics, rather than to accept classical precepts that are profoundly incorrect precisely at the crucial point of the role of human consciousness in the dynamics of human brains. Adherence to the quantum principles yields a dynamical theory of the mind/brain/body system that is in close accord with our intuitive idea of what we are. In particular, the need for a self-observing quantum system to pose certain questions creates a causal opening that allows mind/brain dynamics to have three distinguishable but interlocked causal processes, one micro-local, one stochastic, and the third experiential. Passing to the classical limit in which the critical difference between zero and the finite actual value of Planck's constant is ignored not only eliminates the chemical processes that are absolutely crucial to the functioning of actual brains, it simultaneously blinds the resulting theoretical construct to the physical fine structure wherein the effect of mind on matter lies: the use of this limit in this context is totally unjustified from a physics perspective.
Abstract The relation between knowledge and object, concept and experience, we and the world, is a central problem in philosophy and fascinates many people besides philosophers. The mind-body relation shows up in quantum interpretations, mainly through the writings of physicists. In many interpretations, the mind is conceived of as an observer that is peculiar for being beyond the laws of physics. They echo the philosophies in which the mind is an exotic object that is somehow affected by plain objects. These interpretations have been undermined by the research in the quantum measurement problem. We can find causal relations among objects, but these objects do not answer to the definitive qualities of observers; such qualities are outlawed in quantum theories.
This paper aims to provide a systematic meta-theoretical framework for the”Quantum Geometrization” research program. From an epistemological perspective, it clarifies that establishing ”information” as the first principle of physics isnot an arbitrary metaphysical presupposition, but is based on two operationallymeaningful meta-rules: conservation of information distinguishability and finitestep computability of physical processes. This paper argues that these two metarules constitute the boundary conditions that any cognizable and testable physicaltheory must satisfy, and together they define the ”operational window of physicalcognition”. Within this framework, spacetime geometry is interpreted as an emergent phenomenon of information structure in the coarse-graining limit, quantumuncertainty is reinterpreted as an inevitable trade-off between levels of information description, and a series of cosmological parameters are traced back to rigidconstraints of information algebra. This paper further synthesizes the core achievements of the Quantum Geometrization series into a unified ”information dynamics”prediction network, and discusses the framework’s scope of applicability, challenges,and future directions. This study provides an epistemological foundation for thecore proposition ”spacetime emerges from information” and places the QuantumGeometrization program within a falsifiable scientific paradigm.