Conceptual Track

The Poole Manifold is a three-dimensional totalistic cellular automaton defined on a cubic lattice with Moore neighborhood. It is governed by the B5–7/S5–9 rule together with a prime-resonance sharpening mechanism. From this minimal rule set there emerge three principal capabilities: universal computation realised through full adders, multi-bit registers, an 8-bit parallel ALU, and an opcode multiplexer; immortal memory in the form of topologically protected latches that remain stable under noise; and self-healing logic that repairs damaged waveguides using incoming kinetic mass. The same local rules also generate an expanding lattice with a sustained succession flux Φ ≈ 0.3095 and yield an emergent discrete gravity model (OTG) that provides a better fit to DESI BAO data than standard ΛCDM. All results were obtained from GPU-based simulations. The Poole Manifold therefore constitutes a minimal discrete substrate capable of supporting robust computation, persistent memory, self-repair, and emergent cosmological behaviour.

A kernel-invariant theoretical framework that posits a single idempotent projection operator K₀ as the structural seed unifying physical, biological, and cognitive phenomena across five hierarchical layers, presented as a five-module publication series (M1–M5) with formal definitions, theorems, a master equations registry, and simulation specifications. The work claims 22 proved theorems and 13 falsifiable cross-layer predictions, including a π-Closure Theorem, a derived emergence of the golden ratio φ in biological replication, and a formal Sovereignty Condition for cognitive autonomy.

GETT proposes a scalar Φ-field whose tension, activated only when mass is Higgs-licensed and coupled to cosmic expansion, naturally decomposes into three mutually orthogonal response modes that manifest as gravity (resistance to expansion-driven separation), inertia (resistance to motion), and time dilation (resistance to temporal separation). The paper argues this single mechanism reproduces familiar gravitational behavior, explains galactic and cosmological anomalies without dark matter or dark energy, and yields falsifiable, density-dependent predictions (e.g., variable gravitational strength and faster proper time in voids).

The paper presents a resolution of the laboratory–cosmology neutrino mass tension using the Quantum Harmonia (QH) framework, introducing empirically driven scale-dependent mass running; a Bayesian MCMC fit simultaneously matches KATRIN (m_beta ≈ 0.250 eV) and Planck+DESI (Σm_ν ≈ 0.053 eV) and finds a scaling exponent β = 1.023 (+0.069/−0.051), significantly deviating from the naive β = 0.5 and yielding falsifiable predictions for upcoming experiments.

by Adam MurphyUpdated 3/23/2026

This paper extends the Quantum Harmonia (QH) framework, augmented by Unified Temporal Gravity (UTG), to quantum biology, proposing Lindblad-shielded microtubule entanglement and cryptochrome radical-pair coherence as mechanisms underlying 40‑Hz cortical oscillations and avian magnetoreception. Analytic Lindblad modelling, neural-network quantum-state simulations, and a Bayesian stack of eight biological datasets predict microtubule coherence of 0.1–1 ms and cryptochrome lifetimes of 1–10 μs (aggregate Z = 4.8σ), arguing a sub‑unity scale-coupling exponent δ ≈ 0.4615 substantially attenuates decoherence.

by Adam MurphyUpdated 3/21/2026

We present a unified toroidal-cavity model for black hole vibrational resonances that simultaneously satisfies observational constraints from intermediate-mass black holes and gravitational-wave ringdown events. Through dual-constraint optimization of QNM-inspired parameters, our model achieves excellent agreement across six orders of magnitude in mass, reproducing IMBH compatibility factors within ±33% and exactly matching the 510 Hz fundamental overtone of GW150914.

by Adam MurphyUpdated 3/6/2026

We present a novel resolution to the S₈ tension using Quantum Harmonic Effective Field (QHEF) theory with a two-stage quantum-to-classical transition mechanism. Our framework features an early-time coherence phase (z > 6000) with strong quantum effects, followed by a late-time classical regime. Using Bayesian analysis of Planck CMB, BAO, growth factor, and black hole shadow data, we demonstrate excellent agreement with observations while resolving the S₈ tension through scale-dependent modifications to the effective Newton constant.

by Adam MurphyUpdated 3/6/2026