This work is concerned with the development and operation of sentient biophysical structure. The vehicle of our inquiry is an investigation into the foundations of logic and apprehension with respect to the mathematical characterization of such structure, its behavior, and its computable reproduction.
Three related theories are presented: The first of these provides an explanation of how sentient individuals come to be in the world. The second describes how these individuals operate. And the third proposes a method for reasoning about the behavior of individuals in groups. By extension our inquiry brings together the traditional concerns of cosmology, computation, and epistemology.
Underlying this investigation is the broad range of contemporary biophysical observationand experimentation. Much of this observation and experimentation was impossible before the current era. The results are voluminous and often narrowly specialized. Theorists have, as yet, had little time to consider the broader implications.
These theories are based upon a new explanation of experience in nature, the construction of senses, and the operation of spontaneous biophysical behavior. This new approach is developed from first principles to enable a rigorous and systematic explanation of the variety of associated behaviors.
The nature of our inquiry
Alongside this development is a further inquiry that focuses upon the nature of our work. It discusses the existential aspects of scientific inquiry, its epistemology and logic. It seeks to clarify the nature of the mathematical characterization and computation of natural behaviors, dealing with questions in the foundations of logic. It explores methodological issues related to reduction and the refinement of ideas from intuition to formal logical structure.
This second inquiry is the necessary complement to the first because it is an explanation that deals with its own foundation.
A calculus for biophysics
In support of this broad inquiry we work toward the development of a calculus for biophysical construction and its dynamics. The focus of this calculus is the structural dynamics for the range of single cells, multicellular architectures, and membranes. In our model it is the shape of these biophysical elements that characterize sense and modify action potentials producing motility, if successful this mechanics mathematically characterizes sensory and motile behavior.
Upon this foundation we propose a model of apprehension and explore how its products are processed by the organism. Finally, we propose a probabilistic theory that enables us to reason about inaccessible factors in group behavior.
Three mathematical approaches
We follow three mathematical directions in anticipation that they inform each other. The first of these is the simple assertion that the basis of sense and spontaneous biophysical action is universally presentand by this simple presence structure assembles against it. This approach can only serve us if the mechanism characterizes a structural dynamic that is a consequence of this presence. The second direction is more conventional and follows a similar line of reasoning to the first except that it suggests the mechanism is the result of a covariant field effect upon the geometry of closed structures.
The third approach is radical and a purely mathematical exploration. It argues that the effects we seek to characterized have a natural mathematical basis and that if we eliminate naive assumptions concerning apprehension from a logical geometry then a characterization of the effect will suggest itself.
Rejection of emergence theory
You will note immediately that our approach is differential upon closed smooth manifolds and not founded upon a discrete particle theory. This is due to a recognition that neither construction from atoms nor the magic of emergence are viable existential explanations of our continuous and unfied experience, of sense.
A new computational mechanics
The mechanics we propose suggests the design and physical realization of a new model of computation; one in which structure and the concurrency of action are a first-order consideration. Symbolic processing in the biophysical system is storage free and the capacity of symbol representation is combinatorial across dynamic sensory manifolds, suggesting general engineering principles that offer significantly more symbolic processing capability in biophysical architectures than previously considered.
Proof in practice
We identify opportunities for experimental verification of the theory and we suggest a proof of our results in practice by the identification of this mechanism, allowing the construction of machines that experience.
Explaining Experience In Nature: The Foundations Of Logic And Apprehension is a series of technical volumes authored by Steven Ericsson-Zenith and published by IASE. Available by subscription only.