Spiral Time Quantization with Discrete Geometry

The unexpected detection of radio signals, which appear to penetrate dense materials like kilometers of ice without significant absorption, represents a significant anomaly that is difficult to reconcile with established laws of electrodynamics in the Standard Model. This work presents a novel explanation within the Helix-Light-Vortex (HLV) Model, which postulates a discrete, dodecahedral vacuum (the ϕ G -lattice) and a fundamental, complex scalar field (Ψ). We show that the propagation of electromagnetic waves is not primarily through direct interaction with matter, but through an inherent coupling and modulation of the fundamental Ψ-field, as already formulated in the HLV-Lagrangian (-1 4 F µν F µν (α|Ψ| 2 + β|Ψ| 4 )). This geometrically-driven wave dynamics enables propagation with minimal attenuation through material media. The HLV Model predicts specific, testable anomalies: a frequency-and direction-dependent propagation speed, a largely independence from material density and temperature, and potentially additional polarization modes of the signal. These predictions offer a unique opportunity to experimentally confirm the existence of a discrete spacetime structure.

The Helix-Light-Vortex (HLV) framework models physical degrees of freedom as spiralmodulated information states on a discrete vacuum lattice. In this work, we extend the formalism to a definition of quantum entanglement as phase-and topology-locking between helical edge modes, mediated by protected connectivity in the vacuum graph. Using the symbolic grammar quantization rules and the U 3 stationary time mode, we derive correlation functions, identify small but measurable correction phases relative to standard quantum mechanics, and propose feasible experimental protocols using orbital-angular-momentum photons, integrated topological photonic waveguides, superconducting qubit graphs, and NV-center magnetometry. These protocols provide unambiguous falsification criteria without violating relativistic locality.

We reformulate double-slit interference within the Helix-Light-Vortex (HLV) framework: quanta follow spiral-time trajectories whose projections excite detector resonances. Maxima/minima correspond to bright (detector-coupled) and dark (detector-invisible) states. Which-path probes suppress fringes by desynchronising spiral phases instead of imparting classical kicks. We provide an operator formulation, a symbolicgrammar embedding, and detector-centric, falsifiable predictions. Formal consistency (unitarity, Englert duality, quantitative side-fringes) is explicitly addressed.

This paper presents a unified derivation and formalization of a generalized Helix-Light-Vortex (HLV) framework. We demonstrate, step-by-step, how the theory's foundational logarithmic helix vortices naturally generate a three-dimensional, aperiodic quasicrystal lattice via a higher-dimensional cut-and-project construction. This generalization replaces the theory's baseline periodic dodecahedral grid, increasing its topological robustness and information density. We then introduce the physical control mechanism for this projection: an extended, triadic "Spiral Time" ψ(t) = t + iϕ(t) + jχ(t), where the retrocausal (U2) and stationary (U3) components dynamically determine the projection window's center and thickness. The result is a robust, hybrid spacetime lattice containing Fibonacci-dodecahedral (FDG) domains as resonance islands within a quasicrystal (QCG) host. We couple this generalized geometry to field dynamics and outline the path to quantization and experimental verification.

The Helix-Light-Vortex (HLV) theory models spacetime as a discretized lattice composed of spiral-modulated information carriers. Previous formulations utilized either periodic Fibonacci-dodecahedral grids or proposed generalizations to aperiodic quasicrystals. In this paper, we introduce a hybrid lattice model combining both structures. The fusion of periodic Fibonacci symmetry and quasicrystalline aperiodicity allows for enhanced topological stability, nonlocal information routing, and adaptive resonance modes. We integrate the operator formulation of Spiral Time and the symbolic grammar (G HLV ) to provide a rigorous mathematical foundation. We discuss the mathematical embedding of such hybrid structures and show how this lattice improves the descriptive power of the HLV framework, particularly for modeling dark matter condensates, quantum memory nodes, and high-energy UAP phenomena.

Classical and Quantum Gravity, 2006

We present an implementation of Wilson's renormalization group and a continuum limit tailored for loop quantization. The dynamics of loop quantized theories is constructed as a continuum limit of dynamics of effective theories. After presenting the general formalism we show as first explicit example the 2d Ising field theory. It is an interacting relativistic quantum field theory with local degrees of freedom quantized by loop quantization techniques. *

The Helix-Light-Vortex (HLV) framework models physical degrees of freedom as spiralmodulated information states on a discrete vacuum lattice. In this work, we extend the formalism to a definition of quantum entanglement as phase-and topology-locking between helical edge modes, mediated by protected connectivity in the vacuum graph. Using the symbolic grammar quantization rules and the U 3 stationary time mode, we derive correlation functions, identify small but measurable correction phases relative to standard quantum mechanics, and propose feasible experimental protocols using orbital-angular-momentum photons, integrated topological photonic waveguides, superconducting qubit graphs, and NV-center magnetometry. These protocols provide unambiguous falsification criteria without violating relativistic locality.

2015

In this paper we have tried to describe a gauge group for gravitational potential associated with the elementary particle as described by their spiral structure in accordance with the standard model.

We present a consolidated formulation of the Helix-Light-Vortex (HLV) Theory, a unified geometrical and field-theoretic framework in which spacetime, matter, and information emerge from a discrete, quasicrystalline structure. Building upon logarithmic helices and a triadic time representation, we derive a generalized cut-andproject spacetime and formulate its dynamics via operator methods and symbolic grammar quantization. The framework is connected to mainstream physics through explicit reductions to known continuum limits and by outlining falsifiable predictions in astrophysics, high-energy physics, and quantum optics. This places HLV as a mathematically consistent and experimentally testable program.

This document provides a precise mathematical elaboration of Phase 1.3 of the Helix-Light-Vortex (HLV) Theory, focusing on the dynamic nature of Spiral Time and its intricate coupling within the field equations. We present the revised and complete Lagrangian density for the HLV system, encompassing the Ψ (Helix-Light-Vortex) field, Θ (topological phase) field, Φ (Universal Information) field, and ϕG (Dodecahedral Lattice) field. Detailed derivations of the equations of motion for the Ψ and Θ fields are provided, highlighting the non-linear Klein-Gordon equation for Ψ and a novel dynamically scaled wave equation for Θ, which explicitly incorporates the effects of Spiral Time. This rigorous formulation lays the groundwork for the numerical simulations in Phase 4, enabling testable predictions related to gravitational and spin modulations.