The Tang Papers document the development of a diagnostic framework for analyzing coordination, timing, and representational structure across complex systems.

This independent research program by Lit Meng (Robert) Tang began through the study of human–AI interaction and expanded to examine broader questions of alignment, coherence, and coordination across systems.

This work examines not just what systems produce,
but how they coordinate over time.

Core Entry Concepts

Two complementary models provide primary entry points into this research:

• Phase Drift
A condition in which output continues while coordination degrades.

• The Loom
A structural model describing how patterns form when accumulation is coordinated under constraint.

Together, these describe how systems can appear coherent while becoming structurally misaligned, and how coherence is formed and maintained.

Explore:

Phase Drift → https://www.robert-tang.com/phase-drift.html
The Loom → https://www.robert-tang.com/loom-model.html

Research Archive

All papers are published openly, citable, and archived with persistent identifiers (DOIs). View publications on Zenodo:
https://zenodo.org/communities/tang-papers-program

Why This Matters

Across many domains, systems can appear coherent while remaining structurally misaligned.

Artificial intelligence can generate convincing responses without full understanding.
Organizations can communicate clearly while failing to coordinate.
Social and political systems can maintain internal consistency while fragmenting across groups.
Even in physics, different models can remain valid within limits while resisting reconciliation.

In some contexts, coordination dynamics can be directly observed as systems transition between dispersed and synchronized states.

The central question is not only what systems produce, but how their components are aligned and coordinated over time.

The Tang Papers examine these patterns and develop a framework for identifying where alignment holds—and where it breaks down.

In many systems, breakdown occurs not because output decreases, but because coordination fails under continued accumulation.

Hosting Context & Boundary Statement

This research archive is hosted on the danceScape platform for public access and public education.

danceScape is a dance education and wellness learning community whose primary focus is helping people experience the benefits of music and movement through:

Ballroom dance
Salsa & Latin dance
Wedding Dance preparation
danceTONE cardio fitness
danceFLOW qigong / tai chi
Community social events

danceScape is not a research institution.

Participation in danceScape classes, programs, or events does not constitute participation in research.

All research frameworks, publications, and claims presented here stand independently and are attributable solely to the author.

Start Here: The Tang Papers Program

This bridge paper provides the conceptual entry point into the full research corpus.

The Tang Papers Program: Architecture, Scope, and Representational Discipline
Zenodo DOI: https://doi.org/10.5281/zenodo.19035960

This bridge paper explains how the individual publications connect into a coherent research program and introduces the central representational distinction between phase coordination and scalar measurement used throughout the work.

Overview

The following sections outline the structure, scope, and internal organization of the Tang Papers research program.

Collectively, this body of work constitutes an independent Phase–Scalar research program focused on understanding how coordination, measurement, and representation interact across scales of organization.

Across domains as different as physics interpretation, artificial intelligence systems, organizational coordination, and human movement, similar patterns appear repeatedly.

Many apparent contradictions arise not from empirical failure, but from confusion between different representational roles within system descriptions.

The research program therefore develops descriptive and diagnostic frameworks intended to:

organize inquiry
surface representational mismatch
clarify paradoxes
support disciplined hypothesis generation

The goal is not to replace empirical science, but to improve representational clarity, boundary enforcement, and translation discipline across domains.

Recent Additions — Structural Models

The latest stage of the Tang Papers introduces complementary models describing how systems form and degrade under conditions of coordination and accumulation.

Phase Drift: A Cross-Domain Failure Mode in Coordinated Systems
DOI: https://doi.org/10.5281/zenodo.19314325

Phase Drift identifies a condition in which output continues while coordination degrades, leading to increasing incoherence despite apparent productivity.

The Loom: A Phase–Scalar–Boundary Model of Pattern Formation
DOI: https://doi.org/10.5281/zenodo.19317159

The Loom describes how structure emerges when accumulation is coordinated under constraint, providing a generative model of system stability.

Together, these models extend the diagnostic frameworks of earlier work by describing both the formation and breakdown of coherence across domains.

Core Representational Distinction

Across the Tang Papers corpus a recurring distinction appears between two types of variables commonly used when describing complex systems.

Scalar variables

Track magnitude or accumulation, such as:

quantity
duration
rate
scale

Phase variables

Track structural coordination and relational organization, such as:

relational position
synchronization
boundary completion
phase within a cycle

Many analytical artifacts arise when scalar and phase roles are treated as interchangeable.

The Phase–Scalar research program develops diagnostic frameworks designed to preserve this distinction.

Tang Papers Program Architecture

The Tang Papers were developed through a staged research process.

Publications Index (Zenodo / DOI)

All publications are versioned, openly accessible, and citable.

Physics-Restricted Work

Boundary-Augmented Phase–Scalar Reconstruction (PSR-B)
DOI: https://doi.org/10.5281/zenodo.18099232
Published: December 30, 2025

PSR-B is a physics-restricted diagnostic protocol designed to identify representational sources of contradiction in physical reasoning.

It enforces:

• boundary constraints
• stopping conditions
• residual localization

PSR-B proposes no new physical laws and introduces no ontological entities.

Structural Models (Latest Stage)

Phase Drift: A Cross-Domain Failure Mode in Coordinated Systems
DOI: https://doi.org/10.5281/zenodo.19314325
Published: March 29, 2026

The Loom: A Phase–Scalar–Boundary Model of Pattern Formation
DOI: https://doi.org/10.5281/zenodo.19317159
Published: March 29, 2026

These two papers form a complementary pair describing how systems maintain coherence and how that coherence can degrade under continued accumulation.

Physics-Compatible Structural Frameworks

Phase and Scalar Time
DOI: https://doi.org/10.5281/zenodo.18041277

Spiral Coordinate System (SCS)
DOI: https://doi.org/10.5281/zenodo.18051253

These works develop structural frameworks for analyzing temporal organization across domains.

Cross-Domain Methodological Frameworks

Local Death, Global Life: The Λ-State
DOI: https://doi.org/10.5281/zenodo.17581659

Unified Intelligence Framework Glossary
DOI: https://doi.org/10.5281/zenodo.17700385

Rhythm–Information Time Principle
DOI: https://doi.org/10.5281/zenodo.17727888

Human–AI Collaborative Research (HAICR)
DOI: https://doi.org/10.5281/zenodo.17773361

Information–Consciousness Gradient
DOI: https://doi.org/10.5281/zenodo.18002906

Phase–Scalar Reconstruction (PSR)
DOI: https://doi.org/10.5281/zenodo.18088686

Phase–Scalar Reconstruction in Practice (PSR-P)
DOI: https://doi.org/10.5281/zenodo.18361215

Phase–Scalar Spiral
DOI: https://doi.org/10.5281/zenodo.18156761

Tang Papers Program (Bridge Paper)
DOI: https://doi.org/10.5281/zenodo.19035960

Methodology: Human–AI Collaborative Research (HAICR)

This research program formalizes a disciplined method for extended human–AI inquiry known as Human–AI Collaborative Research (HAICR).

In HAICR, AI systems are treated as analytical instruments rather than authorities.

The human researcher supplies:

research intent
contextual knowledge
evaluative judgment
final accountability

AI systems are used to:

accelerate conceptual iteration
expose abstraction and framing bias
stress-test internal consistency
surface counterexamples
map conceptual structure across domains

Cross-AI comparison is used as a robustness check, not as consensus or co-authorship.

All synthesis, definitions, and conclusions remain the responsibility of the human researcher.

Scope Statement

This initiative develops descriptive and methodological frameworks of inquiry.

It does not claim to provide complete, predictive, or causal theories of:

consciousness
time
physics

Frameworks are tools of inquiry, not empirical results.

Observations represent recurring structural patterns documented through disciplined application.

Representational Layers

The archive distinguishes multiple representational layers that are intentionally not collapsed into one another.

Qualitative / Experiential Layer (QToE)

Addresses:

lived experience
embodiment
rhythm
anticipation
memory
felt time

Descriptions at this layer are phenomenological and interpretive.

They are not admissible as evidentiary input for physics-restricted analyses.

Informational / Structural Layer (IToE)

Addresses:

information structure
synchronization
representation
scale

This layer underlies:

Phase–Scalar Reconstruction
Spiral Coordinate System
Phase and Scalar Time analysis

Diagnostic Translation Layer (PSR)

Phase–Scalar Reconstruction functions as a diagnostic method used to:

identify representational mismatch
clarify paradoxes
separate scalar and phase commitments

PSR introduces no new physical laws and no ontological entities.

Author

Lit Meng (Robert) Tang
Independent Researcher
Burlington, Ontario, Canada

Academic background:

B.Sc. Mathematics — McMaster University
MBA — Schulich School of Business

Embodied practice (contextual):

25+ years dance pedagogy (Ballroom & Latin)
Former Canadian & North American Ballroom Champion

ORCID
https://orcid.org/0009-0006-1121-6837

Next Phase of This Research

Conceptual explanations and public-facing interpretations of this research are curated at:

www.robert-tang.com

Key concept pages include:

Phase Drift — how systems degrade under continued output
The Loom — how structure forms through coordinated constraint

License

All publications are available under Creative Commons CC BY 4.0.