We explore a mathematical formalism that ties together the observer with the observed in the view that Consciousness is primary, operating through three principles which apply at all levels, the essence of qualia of experience. The formalism is a simplified version of Hilbert space mathematics encountered in quantum mechanics. It does, however, go beyond specific interpretations of quantum mechanics and has strong philosophical foundations in Western philosophy as well as monistic systems of the East. The implications are explored and steps for the full development of this axiomatic mathematical approach to Consciousness are discussed.
We explore a mathematical formalism that ties together the observer with the observed in the view that Consciousness is primary, operating through three principles which apply at all levels, the essence of qualia of experience. The formalism is a simplified version of Hilbert space mathematics encountered in quantum mechanics. It does, however, go beyond specific interpretations of quantum mechanics and has strong philosophical foundations in Western philosophy as well as monistic systems of the East. The implications are explored and steps for the full development of this axiomatic mathematical approach to Consciousness are discussed.
If Awareness is fundamental in the universe, mathematical frameworks are better suited to reveal its fundamental aspects than physical models. Awareness operates through three fundamental laws which apply at all levels of reality and is characterized by three universal powers. We explore and summarize in general terms mathematical formalisms that may take us as close as possible to conscious awareness, beginning with the primary relationships between the observer with the observed, using a Hilbert space approach. We also examine insights from category theory, and the calculus of indications or laws of forms. Mathematical frameworks as fundamental languages of our interaction with the universe should be further developed with consciousness being the driving force.
To arbitrate theories of consciousness, scientists need mathematical models of consciousness or qualia. The dominant view regards qualia as points in a dimensional space. Implicit in this view is that qualia can be in principle measured without any effects on it. This contrasts with intuitions and various empirical findings about qualia that they can change when they are measured. How can we deal with entities that are affected by the act of measurement? We argue that mathematical formalisms of quantum theory are precisely developed to deal with such situations. Here, we propose qualia as “observables” (i.e., entities that can be in principle observed), sensory inputs and internal attention as “states” that specify the context that a measurement takes place, and “measurement outcomes” as expected values of qualia observables in a certain state. We propose to call this formalism as the Quantum Qualia (QQ) hypothesis. QQ proposes that qualia observables in a state interact with the world, as if through an interface of sensory inputs and internal attention. This qualia-interface-world scheme has the same mathematical structure as observables-states-environment in quantum theory. Within this framework, mathematical concepts of “instruments” can precisely formalize how measurements can affect (or update) qualia observables and states. QQ naturally explains intuitions about qualia, such as the nature of qualia as indeterminate entities. Finally, QQ leads to empirical predictions that challenge traditional models, such as order effects and violations of Bell inequalities. With further confirmation of such predictions, we believe that QQ will emerge as a viable alternate mathematical model of qualia, offering an important step towards understanding the nature and structures of consciousness.
Ever since the development of quantum mechanics in the first part of the 20th century, a new world view has emerged. Today, the physicalist objective assumption that objects exist independently of acts of observation has been challenged. The repercussions of this radical challenge to our common-sense perception of the world are far-reaching, although not yet generally realized. Here we argue that there is a complementary view to the way science which is being practiced, and that consciousness itself is primary and qualia form the foundation of experience. We outline the arguments of why the new science of qualia will tie objects that are being perceived to the subjective experience, through the units of subjective experience called qualia. If there is a reality that exists outside of perceptions in consciousness, it is indeed inconceivable. The reason is that once one subtracts everything that one can sense, imagine, feel, or think about, there’s nothing left. Since qualia are subjective, they challenge the dominant world view of science as practiced today, which is reductionist, objective, and mathematical. Our view is a natural continuation of the quantum world view. We outline what the steps will have to be in order to fully develop the science of qualia.
Ever since the development of quantum mechanics in the first part of the 20th century, a new world view has emerged. Today, the physicalist objective assumption that objects exist independently of acts of observation has been challenged. The repercussions of this radical challenge to our common-sense perception of the world are far-reaching, although not yet generally realized. Here we argue that there is a complementary view to the way science which is being practiced, and that consciousness itself is primary and qualia form the foundation of experience. We outline the arguments of why the new science of qualia will tie objects that are being perceived to the subjective experience, through the units of subjective experience called qualia. If there is a reality that exists outside of perceptions in consciousness, it is indeed inconceivable. The reason is that once one subtracts everything that one can sense, imagine, feel, or think about, there’s nothing left. Since qualia are subjective, they challenge the dominant world view of science as practiced today, which is reductionist, objective, and mathematical. Our view is a natural continuation of the quantum world view. We outline what the steps will have to be in order to fully develop the science of qualia.
We present a unified theoretical framework demonstrating the emergence of quantum mechanics from classical ring field dynamics and establishing consciousness as a fundamental quantum field. The theory proceeds in three integrated stages: (1) We show that the Schrödinger equation emerges as the slow envelope equation of a rapidly oscillating classical ring field , with the correspondence ; (2) We develop an axiomatic system for consciousness based on five fundamental postulates, leading to the quantitative formulation where is consciousness strength and is system predictability; (3) We demonstrate that consciousness obeys quantum superposition and can be described by a consciousness field operator satisfying Bose-Einstein statistics. Numerical verification across 1D, 3D, harmonic oscillator, and quantum dimer systems confirms the mathematical consistency and predictive power of the framework. This work provides the first complete mathematical bridge from classical physics to quantum mechanics to conscious experience.Keywords: Quantum foundations, Emergent quantum mechanics, Ring field theory, Consciousness axioms, Quantum consciousness, Consciousness field, Panpsychism
The great advances in science precipitated by the advent of quantum mechanics in the 20th century have profound implications for the nature of reality. The universe is now assumed to be fundamentally quantum at all scales of existence. As such, ancient questions about what the roles of human beings in the universe are, what is the relationship between the observer and the observed, the role of the mind, existence itself and the nature of experiences, can now also be approached in new scientific ways. This provides the opportunity to explore mathematical formalisms that relate to relationships between the observer and the observed, through three principles or universal laws which apply at all levels of existence. These principles form the essence of a vast ocean of qualia of experience. Such approaches that we advocate here provide a formalism that goes beyond specific interpretations of quantum mechanics and have strong philosophical foundations in both Western philosophy as well as the monistic contemplative systems of the East. We present a plausible thesis that what is the unifying principle of all existence is universal Consciousness, which when turned within is pure Awareness of Being. The mind and the countless experiences of qualia in this inner vision encompass ancient eternal views of contemplation where the observer, the observer and the process of unifying them form an undivided wholeness. The exalted ancient yet modern view would resonate with both the non-dual ancient teachings as well as different interpretations of quantum mechanics wherein the observed system and the observing subject are inexorably tied together in an undivided Wholeness of Being. The role of the mind is critical and we use the term Exalted Mind to distinguish higher functions from ordinary mind. The implications for humanity are indeed profound, in our view form the foundation of the emerging scientific and medical paradigms, the dawn of a new era of conscious non-dual, science-based Awareness.