III. Papers
Research
43 papers on Six Birds Theory, newest first. Each one is explained in plain words and links to the published version.
Six Birds is a theory of how new things become real. Start with something simple, like a random process on a finite set of states. Look at it through a lens that keeps some details and drops the rest. Sometimes the zoomed out picture runs on its own: it predicts its own next step without peeking below. That is a closure, and a closure that survives its audits is a new layer. The papers show that six basic moves are enough to build every closure, and that geometry, logic, time, probability, objects, agents and institutions can each be built this way and checked at every step.
If you read only one paper, read Foundations of Emergence Calculus. The introduction gives the short version.
September 2026
4 papers-
Preprint
5 September 2026Auditing Emergence in Quantum Error Correction: A Falsifiable Instantiation of Six Birds Theory
Zenodo
The theory is pointed at a real engineering problem, and fourteen of its predictions fail on the record.
-
Preprint
5 September 2026Holonomy with Memory in Six Birds Theory: Predictive Quotients, Witnesses, and Fixed-Support Route Transport
Zenodo
Two histories can look the same right now and still predict different futures. This paper makes that gap exact.
-
Foundations
2 September 2026Six Birds Foundations VI: A Catalog of Dynamical Structural Laws
Zenodo
Thirteen laws about what happens over time, not just in a snapshot.
-
Foundations
2 September 2026Six Birds Foundations V: Endogenous Closure. A Catalog of Structural Laws for Living, Cognitive, and Social Systems
Zenodo
What changes when a system runs its own audits instead of a theorist doing it.
August 2026
3 papers-
Preprint · v2
31 August 2026To Kill Three Stones with Six Birds: A Common Grammar for the SM, QM, and GR
Zenodo
One grammar, tried on the Standard Model and on quantum theory versus gravity.
-
Preprint
31 August 2026Decomposing the Bloch-Kato Fundamental Line: Adequacy and No-Go Results for the BSD Invariants
Zenodo
What one number about an elliptic curve keeps, and what it throws away.
-
Preprint
31 August 2026A Conditional Proof of the Strong Birch-Swinnerton-Dyer Conjecture
Zenodo
A map of exactly what a proof of Strong BSD would need.
June 2026
14 papers-
Preprint
17 June 2026Adequacy Residuals and Blind-Spot Currency
Zenodo
How much does a second set of probes see that the first cannot explain?
-
Preprint
17 June 2026Navier-Stokes as a Layer-Dissolving Membrane Theorem
Zenodo
A conditional route to smooth fluid flow forever, with every assumption named.
-
Preprint
17 June 2026 -
Preprint
17 June 2026Audited Operational Realisability: A Closure-Completion Reflection for Carriers with Audit Data
Zenodo
A meta theory for frameworks that carry their own audit records.
-
Preprint
17 June 2026P ≠ NP under Closure of the Saturated SAT Layer
Zenodo
A conditional separation of P and NP that hangs on one hidden thing.
-
Preprint
17 June 2026Hiddenness as a Structural Law of Emergence
Zenodo
Prediction becomes trivial exactly when the hidden state is exposed.
-
Preprint
17 June 2026Riemann Hypothesis via Self-Dual Trace Confinement: A Conditional Closure
Zenodo
The Riemann hypothesis as a question about a mirror and a ledger.
-
Preprint
17 June 2026Self-Dual Trace Confinement: A Six Birds Structural Law for Formed Closures Under Involutive Self-Duality
Zenodo
When a mirror symmetry forces an obstruction to vanish.
-
Preprint
17 June 2026Institutions Are Strict Extensions of the Game
Zenodo
Reputations and norms are new objects, not shorthand for the game.
-
Preprint
17 June 2026The Cosmological Constant as a Contingent Modulus: A Six Birds Demarcation of Dark Energy
Zenodo
Dark energy split into what is forced, what is measured, and what no law can fix.
-
Foundations
17 June 2026Six Birds Foundations IV: A Catalog of Layer-Agnostic Structural Laws
Zenodo
Fifty two laws that hold before you choose a substrate.
-
Preprint
17 June 2026One Meta-Theory, Three Clay-Problem Closures
Zenodo
What three conditional closures of Clay problems have in common.
-
Preprint
17 June 2026To Set a Stone with Six Birds: The Free and Purchased Parts of ZFC
Zenodo
Which parts of set theory come for free and which are bought.
-
Preprint
17 June 2026
April 2026
1 paper-
Foundations
20 April 2026Six Birds Foundations II: Admissibility, Meta-Theory, and the Exact-Six Program
Zenodo
Fixing what the six roles mean, and proving no seventh is needed in scope.
March 2026
13 papers-
Preprint
31 March 2026Strict Theory Extension on a Lawful Continuous Cantor Shell
Zenodo
A new theory that cannot be defined from the old one, on a continuous substrate.
-
Preprint
24 March 2026Six Birds for Incompleteness: Fixed Packages, Package Change, and Conditional Arithmetic Lift
Zenodo
Godel as a fixed package that stops growing.
-
Preprint
23 March 2026Six Birds: No-Go Theorems for Audited Emergence
Zenodo
Eight things an emergence story cannot honestly claim in a finite model.
-
Preprint
17 March 2026To Flatten a Stone with Six Birds: Critical Pairs, Holonomy, and Confluence in Rewriting Systems
Zenodo
Confluence in rewriting is flatness in disguise.
-
Preprint
16 March 2026To Classify a Stone with Six Birds: Primitive Activation and Observable Separation of Layer-Birth Classes
Zenodo
Four kinds of layer birth, told apart by measurement.
-
Preprint
15 March 2026To Chart a Stone with Six Birds: Emergence Phase Diagrams for Effective Theories in Control Space
Zenodo
Emergence as a phase diagram.
-
Preprint
9 March 2026To Spend a Stone with Six Birds: Currency-Constraint Duality and Shadow Prices Across Closure Layers
Zenodo
Why temperatures, prices and attention weights are the same kind of thing.
-
Preprint
9 March 2026To Cast a Stone with Six Birds: A Closure-Deficit Account of Randomness under Packaging and Budget
Zenodo
Randomness as the price of zooming out.
-
Preprint
9 March 2026To XOR a Stone with Six Birds: Closure Diagnostics for Emergent Bits, Gates, and Booleanity
Zenodo
When does a system earn a logic?
-
Preprint
8 March 2026Six Birds Protocol Trap: Holonomy Without Entropy Production
Zenodo
Route dependence is not an arrow of time.
-
Preprint
4 March 2026Six Birds for Navier-Stokes: A Mechanized No-Zeno Scaffold
Zenodo
A mechanized scaffold that says where a fluid proof would need new math.
-
Preprint
3 March 2026Six Birds for Neutrino Mass: Lens-Swap Stability and Packaging Audits
Research Square
A neutrino mass bound that moves when you swap one dataset.
-
Preprint
2 March 2026To Create a Stone with Six Birds: Emergent Geometric and Thermodynamic Regimes from a Minimal Stochastic Substrate
Zenodo
Geometry and thermodynamics from a random walk and six switches.
February 2026
4 papers-
Preprint · v2
11 February 2026A Six Birds' Eye View of Quantum Theory: Operational Closure Semantics for Measurement, Contextuality, and Record Stability
Zenodo
Collapse as packaging, not as physics.
-
Preprint · v2
5 February 2026To Plot a Stone with Six Birds: Constructing and Auditing Emergent Geometry from Markov Dynamics
Zenodo
Distance and curvature from a Markov chain, with no coordinates assumed.
-
Preprint · v2
5 February 2026A Six Birds' Eye View of Dark Energy: Closure, Route Mismatch, and Audits for Apparent Acceleration
Zenodo
Can a lumpy universe fake acceleration?
-
Preprint
5 February 2026To Notch a Stone with Six Birds: Time as a Theory Artifact of Order, Measure, and Arrow
Zenodo
Time as three separate things a layer has to earn.
January 2026
4 papers-
Preprint · v2
31 January 2026To Throw a Stone with Six Birds: On Agents and Agenthood
Zenodo
Measuring agency without goals, utilities or a little person inside.
-
Preprint · v2
29 January 2026To Become a Stone with Six Birds: A Physics is A Theory
Zenodo
Every physics theory is a lens, a completion and an audit.
-
Preprint
28 January 2026 -
Foundations
25 January 2026Six Birds: Foundations of Emergence Calculus
Zenodo
The paper that started it: theories as fixed points, and six moves you cannot avoid.