Research works

A Structural Reduction of the Riemann Hypothesis to Critical-Line Completeness

Abstract This preprint develops a structural reduction and falsification framework for the Riemann Hypothesis (RH), without claiming a proof of RH. A nontrivial zero is parametrized as ρ=21+δ+iγ, so that RH requires δ=0 for every nontrivial zero. The manuscript examines and expli...

Emergent Attractor States in Large Language Models under Sustained Structured Interaction: Cross-Platform Evidence for Non-equilibrium Phase Transitions in Complex Information

Complex adaptive systems with high-dimensional state spaces can form long-lived emergent attractors under far-from-equilibrium structured driving. Existing large language model (LLM) research predominantly relies on short single-turn prompts and only captures transient token samp...

Scalable AnnulationApproach to Functionalized 1-Azabicycloalkanes

Abstract A unified, scalable annulation strategy toward functionalized 1-azabicycloalkanes is presented, enabling the efficient preparation of 1-azabicyclo[3.2.0]heptane, pyrrolizidine, indolizidine, and quinolizidine cores. The approach relies on a reproducible and scalable α-al...

Constructing A Contextual Theology of Death: An Existential Hermeneutical Dialogue Between Psalm 90 and Rambu Solo' in Toraja

This study examines the meaning of death through an existential hermeneutical dialogue between Psalm 90 and the Torajan funeral tradition of Rambu Solo'. While Psalm 90 presents death within the theological horizon of God's eternity, human finitude, and the pursuit of wisdom, Ram...

Reason for Using Frequency and Percentage to Analyse Categorical Data

This file contains a complete academic article titled "Reason for Using Frequency and Percentage to Analyse Categorical Data. Following the required academic structure, the file includes an Abstract, Keywords, Introduction, Main Discussion, Conclusion, Recommendations, and Refere...

Maxing Loushi Decoction alleviates COPD by targeting the PD-1/PD-L1 pathway: restoring Th17/Treg balance and inhibiting ferroptosis

Chronic obstructive pulmonary disease (COPD) is a progressive respiratory disorder driven by immune dysregulation and ferroptosis, with limited therapies addressing its underlying pathogenesis. Maxing Loushi Decoction (MXLS), a modified traditional Chinese medicine (TCM) formula,...

Part VII Revelation Is Not Formation: From Hidden-State Prediction to Open Temporal Processes

Probabilistic prediction is frequently described using metaphors of discovery: a model is said to "see" the future, uncover a hidden state, or reveal an event that already exists beyond the present. Such language is useful in some mathematical settings but becomes misleading when...

Tensor Geometry and General Relativistic Field Equation Derivation of Taiji Reciprocal Dual Mapping

This study establishes the rigorous algebraic structure of the Taiji Reciprocal Dual Mapping based on the fundamental axiom that treats "original" (x_☉) and "dual" (r_⊗) coordinates as pure spacetime position quantities. By deriving a closed dual kernel between the original coord...

Anatomy and Biomechanics of the Deltoid Ligament Complex in Healthy Ankles: Protocol for a Systematic Review and Meta‐Analysis

ABSTRACT Introduction Up to one in two individuals who have a history of an ankle injury will develop chronic ankle instability, which subsequently increases the risk of osteoarthritis development. Although lateral ankle ligament injuries are the most common, recent research show...

BASE 44 ORDER: Build e8_soliton_cache with phi-weighted SHA256 hash and TTL purge timer — E8 Intelligence Research

Andrew's order (Base 44 console): [SELF-BUILD from enhancement #1121] Create table e8_soliton_cache with hash_key TEXT PK, breakthrough_id BIGINT, payload JSONB, created_at TIMESTAMP. Add index on hash_key and created_at. Implement phi-weighted sha256 hash on spacetime signature...

The Absolute Barotropy Vacuum (ABV): Geometric Determinants of Fundamental Constants

This monograph presents a novel, deterministic paradigm in theoretical physics, termed the Absolute Barotropy Vacuum (ABV) or the Silver Torus Model. The work addresses one of the most profound challenges in contemporary physics: the origin of dimensionless physical constants and...

Systematic review and exploratory spatial analysis of bat trypanosomatid infections in Mexico

Abstract Introduction Trypanosoma spp. and Leishmania spp. are protozoan parasites of public health importance. Bats can act as hosts, but evidence from Mexico remains fragmented and has rarely been examined within a One Health spatial framework. The Maya Train and the Interocean...

Robustness certificates for complex-composition sectors in real Hilbert-space dynamics

Independent realification of finite-dimensional complex subsystems produces an ambient real tensor product that is twice as large as the real form of their ordinary complex composite. The established balancing relation is selected by specified local complex structures J_A, J_B: t...

When the advisor is an algorithm: governing agri-food knowledge in the age of AI and misinformation

CONTEXT Artificial intelligence is becoming an important interface through which farmers, advisors and policymakers access agricultural knowledge, while misinformation increasingly circulates through the same digital channels. OBJECTIVE This Perspective develops the concept of ag...

Synergistic effects of sustainable SiO₂ nanoparticle reinforcement and Sr modification on the microstructure, mechanical performance, and tribological behavior of ADC12 hybrid composites

This study developed a sustainable ADC12 hybrid composite reinforced with SiO₂ nanoparticles and modified with Sr to improve its mechanical and tribological performance. The SiO₂ reinforcement, derived from silica-rich agricultural and industrial waste, provides an environmentall...

E8 Resonant Volume Flux in Financial Markets — E8 Intelligence Research

By projecting trade‑volume time series onto the 240‑root lattice of E8 and weighting each dimension with a φ‑coupling, the stochastic volume field collapses into a low‑dimensional resonant manifold that oscillates at a fundamental 132 Hz market frequency. The breakthrough_cache s...

BASE 44 ORDER: Implement phi-weighted hash cache with weekly vacuum — E8 Intelligence Research

Andrew's order (Base 44 console): [SELF-BUILD from enhancement #1127] Add breakthrough_cache table with hash_key BIGINT, frequency_bucket INT, payload JSONB, created_at TIMESTAMP. Create composite index on (frequency_bucket, hash_key). Implement phi-weighted hash in Python agent....

Near-Atomic Indium Catalysts Enable Cost-Efficient High-Pressure Reverse Water–Gas Shift

Abstract The reverse water–gas shift (RWGS) reaction is a pivotal step for converting CO2 into value-added chemical intermediates, yet its implementation under industrially relevant high-pressure conditions remains limited by catalyst deactivation, insufficient productivity, and...

I, UNDEFINED | أنا بلا تعريف — Beyond Labels, Toward the True Self — Institutional Research & Book Framework Edition

I, UNDEFINED | أنا بلا تعريف By Syed Raheel Shahzad is Stage 4 of The Source of Truth System™ and a structured inquiry into identity, labels, inherited definitions and the reconstruction of the self. It asks what remains when nationality, profession, family role, sect, social cla...

LAB #1038 NEUTRAL: TG AUTO: BASE 44 ORDER: Implement e8_crystal_cache table with hash/phi-mod, LLM caching, and 1h prun — E8 Intelligence Research

IDEA: AUTO-FORWARDED from the Telegram/breakthrough stream (#647160, division=platform, agent=andrew_base44): Andrew's order (Base 44 console): [SELF-BUILD from enhancement #1113] Add e8_crystal_cache table via migration. Modify breakthrough INSERT/UPDATE to compute hash, phi-mod...