Cosmology: What One Needs to Know

Cosmology, the study of the universe, has a past, which is reviewed here. The standard model—the Big Bang, or the hot, dense early universe that is still expanding—is based on observations that are basically consistent but which require additional input to improve the agreement. Out of the early universe came the galaxies and stars that shine today. The future of the universe depends on the density of matter: too much mass leads to the Big Crunch; too little leads to eternal expans ion and cooling. The dark-matter problem prevents us from knowing which will be the fate of the universe. Thelimits of what may be called "scientific" are addressed.     

Non-monotonic Probability Theory and Photon Polarization

A non-monotonic theory of probability is put forward and shown to have applicability in the quantum domain. It is obtained simply by replacing Kolmogorov’s positivity axiom, which places the lower bound for probabilities at zero, with an axiom that reduces that lower bound to minus one. Kolmogorov’s theory of probability is monotonic, meaning that the probability of A is less then or equal to that of B whenever A entails B. The new theory violates monotonicity, as its name suggests; yet, many standard theorems are also theorems of the new theory since Kolmogorov’s other axioms are retained. What is of particular interest is that the new theory can accommodate quantum phenomena (photon polarization experiments) while preserving Boolean operations, unlike Kolmogorov’s theory. Although non-standard notions of probability have been discussed extensively in the physics literature, they have received very little attention in the philosophical literature. One likely explanation for that difference is that their applicability is typically demonstrated in esoteric settings that involve technical complications. That barrier is effectively removed for non-monotonic probability theory by providing it with a homely setting in the quantum domain. Although the initial steps taken in this paper are quite substantial, there is much else to be done, such as demonstrating the applicability of non-monotonic probability theory to other quantum systems and elaborating the interpretive framework that is provisionally put forward here. Such matters will be developed in other works.     

MINDING QUANTA AND COSMOLOGY

The revolution in science inaugurated by quantum physics has made us aware of the role of observation in the construction of data. Eugene Wigner remarked that in quantum physics we no longer have observables (invariants), only observations. Tongue in cheek, I asked him whether that meant that quantum physics is really psychology, expecting a gruff reply to my sassiness. Instead, Wigner beamed understanding and replied "Yes, yes, that's exactly correct." David Bohm pointed out that were we to look at the cosmos without the lenses of our telescopes we would see a hologram. I extend Bohm's insight to the lens in the optics of the eye. The receptor processes of the ear and skin work in a similar fashion. Without these lenses and lenslike operations all of our perceptions would be entangled as in a hologram. Furthermore, the retina absorbs quanta of radiation so that quantum physics uses the very perceptions that become formed by it. In turn, higher-order brain systems send signals to the sensory receptors so that what we perceive is often as much a result of earlier rather than just immediate experience. This influence from inside out becomes especially relevant to our interpretation of how we experience the contents and bounds of cosmology that come to us by way of radiation.     

Quantum structure in cognition

The broader scope of our investigations is the search for the way in which concepts and their combinations carry and influence meaning and what this implies for human thought. More specifically, we examine the use of the mathematical formalism of quantum mechanics as a modeling instrument and propose a general mathematical modeling scheme for the combinations of concepts. We point out that quantum mechanical principles, such as superposition and interference, are at the origin of specific effects in cognition related to concept combinations, such as the guppy effect and the overextension and underextension of membership weights of items. We work out a concrete quantum mechanical model for a large set of experimental data of membership weights with overextension and underextension of items with respect to the conjunction and disjunction of pairs of concepts, and show that no classical model is possible for these data. We put forward an explanation by linking the presence of quantum aspects that model concept combinations to the basic process of concept formation. We investigate the implications of our quantum modeling scheme for the structure of human thought, and show the presence of a two-layer structure consisting of a classical logical layer and a quantum conceptual layer. We consider connections between our findings and phenomena such as the disjunction effect and the conjunction fallacy in decision theory, violations of the sure thing principle, and the Allais and Elsberg paradoxes in economics.     

Helmut Reich's Proposal

A form of logic called relational and contextual reasoning is put forward as an improvement over other, more familiar types of logic. Developmental ideas are used to show how maturity ordinarily leads people away from binary (true/false) logic to systems of reasoning that are more subtle and better suited to making decisions in the face of ambiguity.     

Integral Spirituality, Deep Science, and Ecological Awareness

There is a growing understanding that addressing the global crisis facing humanity will require new methods for knowing, understanding, and valuing the world. Narrow, disciplinary, and reductionist perceptions of reality are proving inadequate for addressing the complex, interconnected problems of the current age. The pervasive Cartesian worldview, which is based on the metaphor of the universe as a machine, promotes fragmentation in our thinking and our perception of the cosmos. This divisive, compartmentalized thinking fosters alienation and self‐focused behavior. I aim to show in this essay that healing the fragmentation that is at the root of the current world crises requires an integrated epistemology that embraces both the rational knowledge of scientific empiricism and the inner knowledge of spiritual experience. This “deep science” transcends the illusion of separateness to discern the unity, the unbroken wholeness, that underlies the diverse forms of the universe. Our perception of connectedness, of our integral place in the web of life, emerges as an attribute of our connection with the eternal, beatific source of all existence. This awakened spiritual vision “widens our circle of understanding and compassion, to embrace all living creatures in the whole of nature” (Einstein, quoted in Goldstein [1976] 1987). Our behavior, as it emerges naturally out of our perception of the sacredness of the natural world, will naturally embody love and respect for all life forms. This vision promotes the healing of our long‐standing alienation from the natural world and offers hope for renewal in the midst of widespread cultural deterioration and environmental destruction.     

A Quantum Biomechanical Basis for Near-Death Life Reviews

Near-death life reviews pose a challenge to current memory research in terms of the sheer amount of instantaneous and empathetic information recall. Advances in quantum physics, biomechanics, holographic information theory, and consciousness studies support for the first time a fully realizable quantum biomechanical basis for near-death life reviews. We introduce the unifying paradigm of the quantum hologram as a non-local carrier of information. We further investigate the interrelated phenomena of non-local communications, and the electromagnetic zero-point field. Recent confirmation of the zero-point field lends credibility to vast memory storage capabilities outside the physical body. Microtubules are considered to be key components in non-local, quantum processes critical to human consciousness. Discovery of the liquid crystalline nature of the human body provides further support for our model. Microtubules, deoxyribonucleic acid (DNA), and the entire brain are described as communicating non-locally with virtually unlimited memory storage capacity.     

On Different Proof-Search Strategies for Orthologic

In this paper, we consider three different search strategies for a cut-free sequent system formalizing orthologic, and estimate the respective search spaces. Applying backward search, there are classes of formulae for which both the minimal proof length and the search space are exponential. In a combined forward and backward approach, all proofs are polynomial, but the potential search space remains exponential. Using a forward strategy, the potential search space becomes polynomial yielding a polynomial decision procedure for orthologic and the word problem for free ortholattices.     

Creation and the Symbiosis of Science and Judaism

It seems to me that the critical questions that science and natural philosophy raise for Jewish theology are the following: Does God evolve? Does the universe have or even need an interpretation, specifically with reference to the fact that most of the universe most of the time is uninhabitable, and there may be many more than one universe? Does the universe need a beginning? What is distinctive about human consciousness, intelligence, and ethics in the light of evidence for evolution from all of the life sciences? Finally, will both life and the universe end? These questions are not only modern. They contain all the primary issues that have dominated rabbinic thought. That agenda can be summarized in six topics: How should we model what we believe about (1) God, (2) the world, and (3) the human being; and how should we understand the relations between them, that is, between (4) God and the world (or, creation), (5) God and the human (or, revelation), and (6) the human and the world (or, redemption)? In this paper I focus on the fourth issue, creation. My answer is presented in detail in my Judaism and the Doctrine of Creation(Samuelson 1994). Here I shall summarize my conclusions there concerning science, Jewish texts, and the correlation between them.     

Anticipating ankle inversion perturbations during a single-leg drop landing alters ankle joint and impact kinetics

Anticipatory responses to inversion perturbations can prevent an accurate assessment of lateral ankle sprain mechanics when using injury simulations. Despite recent evidence of the anticipatory motor control strategies utilized during inversion perturbations, kinetic compensations during anticipated inversion perturbations are currently unknown. The purpose of this investigation was to examine the influence of anticipation to an inversion perturbation during a single-leg drop landing on ankle joint and impact kinetics. Fifteen young adults with no lateral ankle sprain history completed unanticipated and anticipated single-leg drop landings onto a 25° laterally inclined platform from a height of 30 cm. One-dimensional statistical parametric mapping (SPM) was used to analyze net ankle moments and ground reaction forces (GRF) during the first 150 ms post-landing, while peak GRFs, time to peak GRF, peak and average loading rates were compared using a dependent samples t-test (p ≤ 0.05). Results from the SPM analysis revealed significantly greater plantar flexion moment from 58 to 83 ms post-landing (p = 0.004; d = 0.64–0.77), inversion moment from 89 to 91 ms post-landing (p = 0.050; d = 0.58–0.60), and medial GRF from 62 to 97 ms post-landing (p < 0.001; d = 1.00–2.39) during the unanticipated landing condition. Moreover, significantly greater peak plantarflexion (p < 0.001; d = 1.10) and peak inversion moment (p = 0.007; d = 0.94), as well as greater peak (p = 0.002; d = 1.03) and average (p = 0.042; d = 0.66) medial loading rates, were found during the unanticipated landing condition. Our findings suggest alterations to ankle joint and impact kinetics occur during a single-leg drop landing when inversion perturbations are anticipated. Researchers and practitioners using drop-landings onto a tilted surface to assess lateral ankle sprain injury risk should consider implementing protocols that mitigate anticipatory responses.