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Jinku Guo

Books and research on change, order, mathematics, physics and computation.

Northwestern Polytechnical University · ORCID · Email

The book · Research portal · Papers · Research discussions

Beyond Apparent Paths

The Practice of Seeking Truth from Facts

How do order, life, consciousness, society and meaning emerge from a world in constant change? My book develops the philosophical and methodological perspective of this work, drawing on physics, biology, neuroscience, complexity science, and Eastern and Western philosophy. It follows the relations between different levels of organization and asks how knowledge and action remain grounded in facts and processes.

Book description and 31-chapter contents · English preview: title page, note to the reader and contents

The research programme

My research programme follows a common generating source into mathematical objects, physical response and finite certified computation. The central question is what a construction produces, and which information must remain available when the result is observed at finite resolution.

Research directions

  • Generated arithmetic and histories. Native arithmetic on a correlation spectrum, finite expression fibres, conditional readout and history-assembly dynamics. Retained history differences can affect subsequent value response.
  • Prime decomposition and operators. Prime irreducibility, cotangent directions, quantitative Hodge projection, occupation traces and signed Gaussian scale response.
  • Gauge structure and Yang-Mills spectral gaps. Generated gauge-matter response, the nonlinear curvature action, the complete original-field Hessian and its attained positive spectral bottom.
  • Gravity and cosmic structure. Source-resolved long-range exchange, coarse-graining with memory and finite-window cosmological dynamics.
  • Certified computation and complexity. Generated function classes, rational trajectory records, residual certificates, polynomial bit-cost theorems and the uniform-generation connection to P vs NP.

Papers, proofs and calculations

Resource Contents
Book-and-Articles Book description and preview, nine research papers, subject introductions, and individual archival DOIs
Lean proof library Lean 4/mathlib formalization, theorem mappings and axiom audits
Coarse-Graining Genesis Framework V5 calculations, common-source dependencies, interval certificates and observational comparisons

The research portal provides five thematic reading routes and searchable paper records. Each work has its own citation record. The software concept DOIs are 10.5281/zenodo.23254521 for Lean and 10.5281/zenodo.22067005 for V5.

Pinned Loading

  1. Book-and-Articles Book-and-Articles Public

    Books and research by Jinku Guo: generated natural-number arithmetic, prime operators, Yang-Mills mass gap, Standard Model structure, emergent gravity, cosmic structure formation, and P versus NP r…

    Python

  2. coarse-graining-genesis coarse-graining-genesis Public

    Generated physics: Yang-Mills mass gap, three fermion generations, mass relations, gauge couplings and cosmology. V5 has 261 derived records and 57 benchmark comparisons; 51/56 central-value rows a…

    Python

  3. Lean-Formalization-of-Arithmetic-and-Basic-Physical-Interfaces Lean-Formalization-of-Arithmetic-and-Basic-Physical-Interfaces Public

    Lean 4/mathlib proofs from minimal change: Gaussian source, natural-number arithmetic with expression histories, unique factorization, gauge and matter structures, generated Yang-Mills action and a…

    Lean