Emergent Geometry from Sensor Networks and Spinor Coherence

Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, 2013

The ‘Infinite Spiral Staircase theory’ or ISST (Hardy, 2015) hypothesizes at the origin of the universe (before Planck time, i.e. 10-43 second) a dynamical topology infused with a self-organized cosmic consciousness. The ISST aims at integrating the reality of consciousness in the universe within a cosmological framework. It posits that our universe originated as a field of information, itself issued from previous or parent universe-bubbles (UB). However, this field of information is very precisely and mathematically structured, and it is embedded in the dynamical topological form of a spiral. The metadimension Syg (S, consciousness) is entwined with two other metadimensions—Center (C, hyperspace) and Rhythm (R, hypertime)—to form the Infinite Spiral Staircase (ISS), that sets the dynamical thrust of a rapidly enlarging spiral, out of the ‘X-point’ of origin and toward Planck length. The three ‘metadims’ form a triune CSR hyperdimension. Any spiral created by the logarithm of phi, the golden ratio, is made out of quarters of circles (called ‘bows’), whose radii are incremented following the Fibonacci sequence; each bow being a precise and unique frequency. The ISS at the origin, on its quasi infinite number of bows, carries a gigantic set of frequencies. The bows will launch sygon waves—tachyonic virtual particles that will both create the hyperdimensional bulk and the spacetime region. The set of bow-frequencies on the cosmic ISS codes for innumerable systems and beings, acting as an active memory-bank issued from a collar of previous universe-bubbles and interacting with the unfolding universe.

Classical and Quantum Gravity, 2005

Loop Quantum Gravity defines the quantum states of space geometry as spin networks and describes their evolution in time. We reformulate spin networks in terms of harmonic oscillators and show how the holographic degrees of freedom of the theory are described as matrix models. This allow us to make a link with non-commutative geometry and to look at the issue of the semi-classical limit of LQG from a new perspective. This work is thought as part of a bigger project of describing quantum geometry in quantum information terms. Contents

NeuroQuantology, 2016

The recent developments of advanced models of unified physics have brought a deeper understanding of the fundamental nature of space, time, energy and matter. It is becoming apparent that information and geometry are primary to explaining these fundamental agents. In previous work, we demonstrated that the subatomic nucleon structure of the proton and recently the electron can be derived directly from a spacetime holographic structure of Planck-scale quantum vacuum oscillators fluctuating as spacetime pixels, demonstrating that spacetime at the very fine level of the Planck-scale is discrete with information quanta. We have found that when considering the granular spacetime information-energy structure from which we demonstrate matter and mass arises, the phenomena of self-organizing systems that leads to self-awareness and consciousness is integral to-and a natural emergent property of the feedback-dynamics of spacetime information itself. In this work, we describe how the integral function of the information feedback dynamics of spacetime, which engender mass-energy, is the missing element in understanding the evolution and development of self-organizing physical systems in general, and the emergence of the biological organism in particular. We evaluate non-classical quantum mechanical phenomena of physical and biological systems in light of the Maldacena-Susskind holographic correspondence theorem from which an equivalence of wormhole spacetime geometry and quantum entanglement is derived. We suggest that the Planck-scale micro-wormhole entanglement structure of multiple spacetime coordinates engender the macromolecular assemblies of living cells, and that this wormhole-entanglement may function in the memory and learning capacity of the biological entity. Furthermore, the recursive information encoding feedback processes of the quantum spacetime micro-wormhole network, which we refer to as spacememory, enables memory and learning in physical systems across all scales, resulting in universal evolutionary tendencies towards higher levels of ordering and complexity-foundational to evolution, sentience, and awareness.

General Relativity and Gravitation

In the context of canonical quantum gravity in 3+1 dimensions, we introduce a new notion of bubble network that represents discrete 3d space geometries. These are natural extensions of twisted geometries, which represent the geometrical data underlying loop quantum geometry and are defined as networks of SU(2) holonomies. In addition to the SU(2) representations encoding the geometrical flux, the bubble network links carry a compatible SL(2, R) representation encoding the discretized frame field which composes the flux. In contrast with twisted geometries, this extra data allows to reconstruct the frame compatible with the flux unambiguously. At the classical level this data represents a network of 3d geometrical cells glued together. The SL(2, R) data contains information about the discretized 2d metrics of the interfaces between 3d cells and SL(2, R) local transformations are understood as the group of area-preserving diffeomorphisms. We further show that the natural gluing condition with respect to this extended group structure ensures that the intrinsic 2d geometry of a boundary surface is the same from the viewpoint of the two cells sharing it. At the quantum level this gluing corresponds to a maximal entanglement along the network edges. We emphasize that the nature of this extension of twisted geometries is compatible with the general analysis of gauge theories that predicts edge mode degrees of freedom at the interface of subsystems. Contents 3 A. A quick review of twisted geometry and spin(or) networks 4 B. Discretization of the surface geometry: SU(2) × SL(2, R) and the Casimir balance equation 5 C. Gluing bubbles and the bubble network phase space 7 II. From Bubble Networks back to Twisted Geometries 9 A. Symplectic reduction by the sl(2, R) matching constraints 9 B. Map to twisted geometries and twist angle 9 C. Conformal gauge and spinor parametrization

Journal of Mathematical Physics, 2014

We present a novel derivation of both the Minkowski metric and Lorentz transformations from the consistent quantification of a causally-ordered set of events with respect to an embedded observer. Unlike past derivations, which have relied on assumptions such as the existence of a 4-dimensional manifold, symmetries of space-time, or the constant speed of light, we demonstrate that these now familiar mathematics can be derived as the unique means to consistently quantify a network of events. This suggests that space-time need not be physical, but instead the mathematics of space and time emerges as the unique way in which an observer can consistently quantify events and their relationships to one another. The result is a potential foundation for emergent space-time.

Systems, 2013

Abstract: We propose here a formal approach to study collective behaviours intended as coherent sequences of spatial configurations adopted by agents through various corresponding structures over time. Multiple, simultaneous structures over time and their sequences are called Meta-Structures and establish sequences of spatial configurations considered as emergent on the basis of coherent criteria chosen and detected by an observer. This coherence is represented by patterns of values of the proper mesoscopic variables adopted i.e., meta-structural properties. We introduce a formal tool, i.e., the family of mesoscopic general vectors, defined by the observer able to detect coherent behaviours like ergodic or quasi-ergodic ones. Such approach aims to provide a general framework to study intrinsically stochastic processes where the “universal evolution laws” fail. But, at the same, the system is structured enough to show significative clusters of collective behaviours “invisible to” simple statistics. Keywords: clustering; collective beings; emergence; ideal and non-ideal models for complex systems; mesoscopic level of system description; quasi-ergodic behaviour

We investigate the intersection of voltage graph theory, entropy, and models of awareness by interpreting trophic food web networks as cognitive graphs modulated by symmetry-induced coverings. Building on recent results connecting voltage lifts to entropic resolution in ecological systems, and inspired by prior work on holographic tension and the topology of experience, we propose a speculative framework in which consciousness is modeled as a flow on a network constrained by cohomological structure. Voltage assignments function as group-valued gauges on influence, fragmenting or integrating flow across lifted sheets. Entropy defects arising in the derived cover quantify the emergence of modular subsystems-interpretable as cognitive subroutines, perceptual distinctions, or attentional perspectives. This approach synthesizes sheaf-theoretic methods, informational dynamics, and topological field metaphors to explore redundancy, symmetry, and differentiation in distributed cognition.

Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, 2013

Numerous approaches to a quantum theory of gravity posit fundamental ontologies that exclude spacetime, either partially or wholly. This situation raises deep questions about how such theories could relate to the empirical realm, since arguably only entities localized in spacetime can ever be observed. Are such entities even possible in a theory without fundamental spacetime? How might they be derived, formally speaking? Moreover, since by assumption the fundamental entities can't be smaller than the derived (since relative size is a spatiotemporal notion) and so can't 'compose' them in any ordinary sense, would a formal derivation actually show the physical reality of localized entities? We address these questions via a survey of a range of theories of quantum gravity, and generally sketch how they may be answered positively.

We propose here a formal approach to study collective behaviors intended as coherent sequences of spatial configurations, adopted by agents through various corresponding structures over time. Multiple, simultaneous structures over time and their sequences are called Meta-Structures and establish sequences of spatial configurations considered as emergent on the basis of coherent criteria chosen and detected by an observer. This coherence is represented by patterns of values of the proper mesoscopic variables adopted, i.e., meta-structural properties. We introduce a formal tool, i.e., the family of mesoscopic general vectors, defined by the observer, able to detect coherent behaviors like ergodic or quasi-ergodic ones. Such approach aims to provide a general framework to study intrinsically stochastic processes where the “universal evolution laws” fail. However, at the same, the system is structured enough to show significant clusters of collective behaviors “invisible to” simple stat...