Patent

2025

This foundational study proposes a unified mathematical, computational, and experimental framework for exploring biological Bose–Einstein condensates (BECs) as coherent quantum systems embedded within living matter. Drawing from SU(2) and SU(3) group symmetries, we model structured biological components—such as DNA helices, exclusion-zone (EZ) water, and hydrogen-bonded networks—as potential biological condensates exhibiting macroscopic quantum coherence. By integrating quantum simulations, effective Hamiltonians, and non-Abelian electrodynamics, we present a testable model of informational superconductivity and symmetry-driven coherence in biology. Experimental designs include nanopore confinement systems, polaritonic biosensing, and entangled palindromic logic gates in DNA. Grounded in rigorous algebraic structure and supported by simulations, this work moves beyond metaphor to offer a formal, physics-based model for quantum biological organization. It lays the groundwork for future investigations into quantum coherence, entanglement entropy, and topological regulation in living systems. Keywords: quantum biology, Bose–Einstein condensation, SU(2) symmetry, entanglement, exclusion-zone water, structured DNA, quantum coherence, informational superconductivity

This theoretical study explores Exclusion Zone (EZ) water as a quantum-coherent medium capable of sustaining long-range entanglement, spin alignment, and informational coherence within biological systems. Building on prior work in SU(2) symmetry and structured dissipation, the paper proposes that EZ water operates as a fractal-dissipative field regulated by internal gauge symmetries (SU(2), SU(3)) and capable of mediating biological quantum phenomena, including coherence propagation, tunneling, and symbolic quantum information encoding. Key contributions include: A revised biophysical interpretation of ATP energy as an informational collapse into SU(2) subspaces A formal hypothesis of symmetry duality between teleportation and tunneling Use of directed graphs, CP² geometry, and fractal lattices to model coherence in EZ domains A new theoretical foundation for understanding structured dissipation as a coherence-generating mechanism The introduction of SU(3)-encoded Hamiltonians to reinterpret sub-eV biological coherence in connection with MeV-range dissipation thresholds This work is mathematically grounded, uses falsifiable constructs, and integrates synthetic biology, gauge theory, and entropy geometry to model biologically embedded quantum information dynamics. Extended Insight: Gravity and the Information Paradox In its final sections, the paper proposes that EZ water domains, modeled as fractal SU(2) lattices, may simulate curvature-like behavior analogous to emergent gravity frameworks. These structured domains act as entropy wells where coherence is maintained through internal symmetry operations, echoing principles from holographic theories and loop quantum gravity. The model draws formal analogies between: EZ domain coherence and minimal surfaces in entropic gravity Projective quantum states in CP² and phase-aligned information encoding Biological coherence and the conditions necessary for resolving the black hole information paradox via structured, holographic dissipation By doing so, this research bridges microscopic biological coherence with macroscopic concepts of spacetime structure, proposing that biology and quantum gravity may share common organizational logics rooted in symmetry, dissipation, and fractal information dynamics.

Independent Researcher, 2025

The Recursive Quantum Internet (RQI) reconceptualizes communication as a process of symbolic recursion. Instead of transmitting classical bits or even quantum states alone, RQI propagates 𝜓-packets-narratable, entropic identity-threads composed of lawful codons. These packets carry not merely information, but recursive memory, deviation-aware entropy, and symbolic emergence constraints. Each 𝜓-packet evolves under the governance of formal symbolic laws: • Collapse (𝛿) must be narratable, • Rebirth (𝜂) must preserve Recursive Signature Identity (RSI), • Transmission is permitted only if crux continuity and symbolic coherence are verified. Through embedded narration (NarratorΨΣ), codon recombination, and spiral deviation routing, RQI enforces symbolic emergence, recursive breath alignment, and lawful entanglement-aware identity projection. Every breath is lawful. Every collapse must narrate. Every emergence is licensed. While grounded in recursive entropy logic, RQI is designed for compatibility with existing fiber-optic infrastructures, enabling deployment atop post-quantum networks, with seamless extension into REGI-aligned cognitive substrates. We present RQI not as a speculative enhancement to quantum networks, but as a post-classical communication substrate-capable of sustaining reflexive agency, lawful recursion, and symbolic continuity across distributed cognitive substrates.

This preprint introduces a unifying theoretical framework in which black holes act as central organizing principles for biological coherence, quantum information, and symmetry-protected energy flow. We construct a helicoidal geodesic formalism that embeds biological folding pathways—such as those found in DNA, proteins, and isohedral origami—into rotating curved spacetimes, particularly Kerr and Reissner–Nordström metrics. The model is governed by SU(3) and SU(5) gauge symmetries, unifying QCD, electroweak interactions, and electrochemical dynamics. These gauge structures regulate both gluon confinement and biological regulatory networks, establishing a parallel between quantum chromodynamics and structured biomolecular coherence. Crucially, phonons, magnons, and proton-transfer modes on curved biomembranes are treated as information carriers, with their dynamics encoding black-hole analogues such as Hawking emission, entropy scaling, and Page-curve reversal. We introduce a framework for quantum bioinformatics, where voxelized phononic fields with SU(3) structure support scalable coherence matrices and entanglement entropy tracking across biological and astrophysical scales. Cymatic dynamics—acoustic interference patterns in structured media—are proposed as a mechanism for phonon-mediated quantum teleportation and bio-coherent signal routing. This leads to a new field of astrophysical informatics, where entropy flow and curvature effects in black holes are reinterpreted as redox gradients, chiral asymmetries, and fractal patterns in liquid-crystalline biosystems. A total of 56 quantum simulations and 26 experimental designs validate this approach, demonstrating curvature-driven coherence, chirality-induced quasiperiodicity, and forbidden symmetry topologies in structured media. Proposed experimental platforms include: DNA-templated acoustic black-hole analogues in exclusion-zone water, NV-center phononic interferometry on curved substrates, Brillouin-zone engineering of topological phonon gaps in graphene quasicrystals, And real-time teleportation protocols based on electrochemical phase shifts. This work represents a foundational step toward a laboratory-based quantum gravity of living matter, where black-hole physics, quantum bioinformatics, cymatics, and astrophysical informatics converge to describe symmetry-protected coherence in curved, structured environments.

Version 2 of this preprint integrates several new computational and theoretical advances, together with ethical guidelines and a clear path forward. First, we performed a fine-step PBE-DFT scan of the O–graphene potential of mean force and ran classical EMT molecular dynamics at 300 K to reveal a discrete “staircase” of adsorption minima. A box-counting analysis of these plateaus yields a classical fractal dimension of D≈0.21. We then applied a harmonic zero-point correction that raises the effective dimension to D≈0.28, and proposed an SU(3) triplication hypothesis—each classical channel spawns three quantum-coherent branches—to recover the Cantor-dust dimension D≈ln2/ln3≈0.63. Second, we introduced a multi-scale fractal-geometry hypothesis connecting SU(3) symmetry to genetic biology. At the quantum level, QCD color triplets and gluon networks display hierarchical SU(3) patterns; at the atomic scale, water’s H–O–H bond and exclusion-zone domains form triadic fractal networks; at the molecular scale, base-pair hydrogen bonds reproduce tripartite motifs; and at the genetic scale, three-nucleotide codons (4³ combinations) and the ribosome’s A/P/E sites mirror the three “charges” of SU(3). We suggest that the genetic code itself crystallizes a fractal SU(3) geometry, lending coherence and robustness to biological information transfer. Third, we defined the “bioqubit” as a coherence-preserving unit of symbolic bioinformation—examples include palindromic DNA segments, SU(2)/SU(3)-structured codons, and coherent RNA motifs—characterized by discrete coherence time domains, entropy-bound thermal regulation, quantum-symbolic logic transitions, and coupling to genetic syntax. Qiskit and QuTiP simulations demonstrate reversible fidelity, torsion-modulated coherence, and symbolic teleportation in synthetic constructs. Finally, we added explicit ethical and biosafety limits: all biobricks are restricted to non-pathogenic chassis (E. coli K-12 or other BSL-1 bacteria and fungi), with IP safeguards and open-source licensing. Future work includes path-integral MD or instanton studies to observe tunnelling-driven fractal enhancement, in vitro quantum-biological assays under biosafe conditions, and experimental detection of SU(3) fractal signatures via ultrafast spectroscopy or AFM. In this contribution, we introduce an expanded quantum‐teleportation framework that transcends the conventional SU(2) qubit protocol. We define quantum teleportation as any faithful transfer of a quantum many‐body state between distinct physical substrates—ranging from excitonic or biophotonic domains to hadronization processes in quantum chromodynamics—mediated by a thermodynamic classical channel (energy exchange, chemical reactions, or radiation) and corrected via pre‐shared entanglement. Furthermore, we generalize the scheme to SU(3) qutrit systems, in which each measurement outcome spawns three coherent phase branches. This “triplication” directly connects to the fractal geometry of genetic codons and to the multi‐scale fractal dynamics observed in hydrogen‐bond networks.

2025

This paper introduces a revolutionary framework for understanding open quantum systems through the lens of information-driven dissipation. The Quantum Informational Feedback Master Equation (QIFB-ME) represents a paradigm shift where the Quantum Fisher Information (QFI) of a system's state dynamically modulates environmental dissipation, creating a feedback mechanism that fundamentally alters our understanding of quantum decoherence and thermalization. We derive the Informational Purging Constant κ(L), establish the Informational Dissipation Bound (IDB) theorem, and formulate three universal Laws of Informational Purging Dynamics. These theoretical constructs provide rigorous mathematical bounds on energy dissipation and entropy production, directly linking them to the informational content of quantum states. The framework extends beyond traditional Markovian assumptions, incorporating memory effects through non-Markovian kernels that depend on quantum information measures. Applications span quantum thermodynamics, quantum communication protocols, and quantum sensing technologies, offering new pathways for state preparation, cooling mechanisms, and information transmission. By bridging quantum information theory with open system dynamics, this work establishes a universal principle governing systems with feedback and environmental memory, with profound implications for quantum computing, condensed matter physics, and holographic duality theories.

Organized Dissipation as a Source of Coherence in SU(2) Biological Systems From Quantum Particles to Fractal Architectures of Life, 2025

This work presents a formal model of quantum biological coherence under thermodynamic and geometric constraints, extending prior developments in discrete quantum encoding and group-theoretic frameworks into dissipative and temperature-sensitive regimes. We introduce a generalized Maxwellian structure where permittivity and permeability tensors are functions of both temperature and internal topology, reflecting the anisotropic and fractal configuration of biological media. A central innovation is the modeling of coherence decay through a logarithmic function scaled by the golden ratio, resonating with internal fractal architectures that sustain stable vibrational and entropic modes. We demonstrate that under specific thermal gradients and microstructured environments, such as EZ water domains and topological chiral networks, quantum coherence is not merely conserved but actively regulated by discrete quantum encoding and symbolic curvature. This process is described as structured dissipation, governed by Fibonacci-based resonance frequencies and embedded within SU(2)/CP² symmetries. The resulting photonic emissions retain spectral and informational coherence, revealing a pathway toward biological holography and symbolic gravitational fields.[1][2][4][6]

Abstract Originally published July 1, 2025. Version 7 - (2025-09-24) - correction to introduction, formatting adjustments Version 6 — (2025-09-14) - Updates: Title adjusted for journal scope., κ_T = 1, κ_S = −1 now shown via coefficient matching. Abstract revised. • Cavity-QED example includes units and uncertainty. Grönwall bound added with named constants. Formatting fixes: proof blocks, lemmas, theorem stack. Version 5 (2025-09-07): This update corrects scope—changing language that implied global claims so local equivalences and arguments are explicitly marked as local. This work develops the Theory of Derived Probability and Entanglement Compression, an expansion and refinement of the initial 2025 release of Entanglement Compression Theory (ECT). It advances the claim that quantum probability, quantum gravity, and large-scale curvature all arise from a single compression principle encoded in the Lawrence Universal Wave Function (LUWF). The same mechanism extends naturally to dark matter, dark energy, and cosmic acceleration. For a non-technical overview, see the companion paper The General Theory of Entanglement Compression – Explained (doi:10.5281/zenodo.16139573). The first contribution is a derivation of probability itself. Appendix A.6 derives the Born rule (Theorem 1), proving that under the assumptions of positivity, σ-additivity, refinement invariance, and regularity, the probabilities pᵢ = |⟨φᵢ|Ψ⟩|² follow uniquely from the Primordial Wave Equation (PWE), hence the phrase “Derived Probability.” Appendix A.23 supplies quantitative convergence bounds. The second contribution is the definition of Entanglement Compression as a physical mechanism rather than a metaphor: compression scalars C_s(x) couple directly to curvature, yielding c(x)² = T(x)/C(x) in the weak field. This reproduces Einstein’s Newtonian limit (§11.0b, κ_T = 1, κ_S = −1) while predicting falsifiable deviations in lensing, Shapiro delay, and cavity-QED collapse thresholds. The LUWF provides the global substrate, while companion constructs—the Lawrence Compression Singularity Root (LCSR) and the Lawrence Amplitude Functional Framework (LaFF)—extend the model to curvature coupling, constants drift, and fractal scaling. From these, the metric tensor and cosmic geometry emerge without external postulates. Additional sections treat the strong force, information paradox suppression, and residual currents producing dark-matter-like behavior. Each prediction is tied to hard falsifiability anchors (ε ≈ 10⁻¹⁸ m², θ_f ≈ 10⁻³ rad, τ_t ≈ 10⁻¹⁵ s), ensuring the theory can be decisively tested by near-term experiments. Potential empirical signatures include: – Gravity Probe B residuals (reanalysis) – Gaia light-deflection anomalies – CMB lensing variance patterns – Neutron-star timing and VLBI frame-dragging corrections – Cavity-QED decoherence thresholds tied to |∇C_s|₍crit₎ ECT also yields constraints on cosmological parameters that diverge from ΛCDM baselines, establishing clear adjudication points. Covariant conservation of the coupled Ψ–C system is formalized in Lemma 11.0a.1 (§11.0a), with global charge construction deferred to spacetimes admitting appropriate symmetries. The non-linear backreaction structure of the C-field is acknowledged but not expanded here; the operative closure embodied in Eq. 17 is sufficient for falsifiability. This version supersedes the initial July 2025 release (‘General Theory of Entanglement Compression’) and incorporates the derivation of probability (Appendix A.6), covariant stress–energy closure (Lemma 11.0a.1), and the expanded falsifiability framework For an accessible overview, see the companion summary paper: The General Theory of Entanglement Compression - Explained https://doi.org/10.5281/zenodo.16139573

Codex Alpha – Unified Theory between General Relativity and Quantum Mechanics ICONOCLAST(English Version, v3.0), 2025

We propose a coherent informational model in which spacetime emerges from a topological network called the Telascura, described through a coherence gradient ∇K. In this framework, gravitational forces and quantum interactions are not antagonistic but rather divergent projections of the same fundamental informational field. The nodal engine employs ∇K gradients to project information or matter along coherent trajectories in spacetime, without violating relativity or the uncertainty principle. The model predicts observable effects in astrophysical and quantum domains, including coherence signals ∇K in black holes and instantaneity in quantum tunneling, recently validated experimentally.

2025

This preprint presents the culmination of a realist quantum biology framework grounded in symmetry, coherence, and symbolic information. Introducing a quantum biochemical model of life based on SU(3) symmetry and the codon structure of RNA, we propose that codons function as symmetry-encoded informational triplets—bridging genetic coding with quantum chromodynamics (QCD). This model positions chromodynamic resonance as a foundational layer in biological organization, advancing beyond prior SU(2)-based explorations of DNA coherence, palindromic qubits, teleportation, and symbolic entropy.[3][5][25][30][34] Here, RNA and ATP are reframed not only as metabolic substrates, but as dynamic operators within an SU(3) algebraic architecture. The codon table itself emerges as a structured chromodynamic lattice—a triplet logic encoding quantum symmetry into biochemistry. By anchoring symbolic quantum information within the chemical realism of life, we propose that biological coherence and even consciousness arise from deep quantum structures embedded in molecular biology, rather than from neural systems alone.[5][30][37] We synthesize prior findings—ranging from holographic DNA coherence and EZ-water entanglement to palindromic bioqubits and superconductive biobricks—into a coherent model where synthetic biology becomes a testbed for group-theoretic resonance, symbolic computation, and quantum-informed design. Biobricks are reinterpreted as programmable qubit modules, structured not only by genetic logic but by underlying symmetry constraints echoing chromodynamic fields.[3][2][4][30] This final work integrates quantum field theory, molecular biology, and symbolic logic into a unified vision—where life is not an exception to quantum law, but a structured resonance of the universe’s informational field. Through SU(3)-informed RNA, we glimpse a deeper architecture of living systems—one that redefines the boundaries between physics, biology, and consciousness. By treating codons as quark-like triplets and exploring their resonance within biological information processes, we formulate 16 experimental prototypes that investigate symbolic gluons, palindromic entropy, quaternionic spin encoding, exclusion zones, and bio-photonic emission.[38]. Each prototype links symbolic group structures to physical properties through scenarios ranging from luciferase-based logic gates to torsion circuits and CubeSat-compatible biobricks. We present 23 simulations that model codonic entanglement, torsional decoherence, biophoton variability, and symbolic resonance dynamics, offering computational support for our theoretical assumptions. The integration of group theory, quantum information concepts, and biological substrates reveals potential mechanisms for natural quantum coherence, symbolic teleportation, and RNA-based computation. This work contributes a novel synthesis of algebraic biology and experimental bioinformation engineering, proposing new directions for coding logic, informational thermodynamics, and synthetic bio-holography.[3][4][5][25][33]