Publications

The Meta-Principle: A Tautological Foundation for Physics

Jonathan Washburn

This paper introduces a proposed foundation for fundamental physics derived not from empirical postulates but from a single, provable statement of logical consistency termed the Meta-Principle. We formally state this principle—the impossibility of self-referential non-existence—and provide a proof of its tautological nature using the calculus of inductive types.

Recognition Science Baryogenesis: A Parameter‑Free Resolution of the Matter‑Antimatter Asymmetry

Jonathan Washburn

Parameter‑free baryogenesis from a curvature‑coupled pseudoscalar background with fixed RS couplings predicts \(\eta_B \simeq 5.1\times10^{-10}\) and parity‑odd CMB/GW signatures with sign fixed by the eight‑tick orientation.

Paper I: Information-Limited Phenomenology of Disk Dynamics

Jonathan Washburn

Defines a global‑only finite‑refresh phenomenology for disk dynamics with an information‑weight \(w(r)\) that scales as \((T_{\rm dyn}/\tau_\star)^\alpha\); validation appears in Paper II under identical masks/error models shared with baselines.

Entropy Is an Interface: Reversibility in the Substrate, Irreversibility at Commit

Jonathan Washburn

Defines entropy operationally as codelength at a declared channel; reversible micro‑dynamics conserve entropy while commits (writes/binnings/erasures) increase it by data‑processing; Landauer work cost framed as code‑length increments.

Parameter‑Free DNA Mechanics and Transcription Kinetics from a Single 0.090 eV Quantum

Jonathan Washburn

Golden‑ratio cascade with one universal coherence quantum predicts B‑DNA geometry and elasticity and RNA‑polymerase kinetics (stall forces, ceiling speeds, invariant 1 s / 10 s pauses) without fitted energetic parameters.

C=2A: Unifying Quantum Measurement, Gravitational Collapse, and Consciousness

Jonathan Washburn

Exact identity C=2A between recognition path action and residual gravitational rate action. Explains Born weights, collapse threshold, and definite experience with a single, parameter-free mechanism; provides nanogram–second predictions and crisp falsifiers.

The Coercive Projection Method: Axioms, Theorems, and Applications

Jonathan Washburn

CPM converts distance‑to‑structure control into global positivity with explicit constants, instantiated across Hodge, Goldbach, RH, and Navier–Stokes; reverse‑lift to Recognition Science explains its universality.

From Proof to Measurement: A Reality Bridge with Falsifiable SI Landings

Jonathan Washburn

This methods paper defines a proof–verified semantics that carries a strictly dimensionless derivation layer into SI displays without introducing tunable parameters. We formalize a Reality Bridge that maps Recognition Physics theorems to laboratory measurements with two independent SI landings whose numerical agreement constitutes a single pass/fail criterion. Complete audit trail and reproducible computational pipeline included.

From Local Height Diagonalization to Birch–Swinnerton–Dyer: Unconditional μ=0 and Cyclotomic IMC Equality via p-adic Wedge and Rigid Schur-Pinch

Jonathan Washburn

We prove the Birch–Swinnerton–Dyer conjecture unconditionally for every modular elliptic curve over ℚ by a classical, prime-wise route that converts local p-adic height information into global consequences. The method uses a separation criterion that upper-triangularizes the cyclotomic p-adic height Gram matrix modulo p, combined with Λ-adic positivity packages yielding reverse divisibility and establishing μₚ(E)=0 at every prime through systematic algorithmic procedures.

From a Logical Tautology to Eight Forced Theorems: The Recognition Science Derivation of Reality's Core Structure

Recognition Physics Institute

We show that a single logical tautology—the Meta-Principle (MP), "nothing cannot recognize itself"—forces eight core theorems (T1–T8) that determine the unique cost function, golden ratio scaling, eight-tick cadence, and integer quantization. Formalized in Lean 4, these results provide a machine-verifiable spine yielding a parameter-free derivation chain from pure logic to physical predictions including gravity and the fine structure constant.

Darwin as Minimum Description Length: Selection, Variation, and Modularity as Code–Length Optimization

Jonathan Washburn

Fitness equals negative description length; replicator dynamics descend mean code length with stationary density π*(g) ∝ e^{-β L_g}. Variation follows q(Δ) ∝ e^{-ΔJ}; modularity reuse gain ≥ M − b. Preregistered, auditable protocol with explicit falsifiers.

Recognition Architecture (Integrated): From Dimensionless Proof to a Single Empirical Test

Jonathan Washburn

Complete, parameter‑free architecture with a dimensionless proof layer and a Reality Bridge that maps invariants to SI without offsets or fitting, audited by layered gates defining a single pass/fail criterion.

Goldbach via a Mod-8 Kernel: Density-One and Short-Interval Positivity

Jonathan Washburn

Mod-8 periodic kernel yields a 2-adic gate on major arcs; density-one positivity on minor arcs and short-interval positivity with bounded gaps; dispersion savings, Chen/Selberg variant, explicit constants, and computational protocol.

Calibration–Coercivity and the Hodge Conjecture

Jonathan Washburn

Classical quantitative route to Hodge via an L2 calibration defect and a cone-based coercivity inequality E(α)−E(γ_harm) ≥ (1/3)·Def_cone(α); limits yield algebraic cycles on projective Kähler manifolds.

The Law of Existence: Proven Uniqueness of J‑Cost Minimization

Jonathan Washburn

CPM unifies existence across domains via a structured set, a calibration defect, and a quadratic energy with explicit constants; coercivity and aggregation make the law falsifiable and audit‑ready.

Light as Consciousness: A Bi-Interpretability Theorem

Jonathan Washburn

ConsciousProcess ⇔ PhotonChannel at the RS bridge (uniqueness up to units) under K-gate, eight-beat, speed c, and BIOPHASE acceptance; EM is uniquely feasible.

Gravity as Pressure in Information‑Limited Gravity

Jonathan Washburn

ILG recast as standard gravity with an effective pressure source built from baryons via the same global kernel; equivalent field/growth equations, displays, and falsifiers.

Yang–Mills Mass Gap: Unconditional Lattice Gap and an AF–free Continuum Construction

Jonathan Washburn

Lattice proof of a positive mass gap for pure SU(N) Yang–Mills via reflection positivity and uniform two‑layer deficit; AF‑free norm–resolvent convergence to the continuum on fixed regions with proved inputs.

Recognition Science: A Machine‑Verified, Parameter‑Free Framework

Jonathan Washburn

Certificates‑first Lean 4 artifact: derives a units‑quotiented recognition calculus from a single axiom with pinned toolchain and one‑line OK reports; proves master bundle, exclusivity+, ultimate closure, and φ selection.

Single‑Anchor Phenomenology of SM Running Masses

Jonathan Washburn

At a universal anchor \(\mu_\star=182.201\,\mathrm{GeV}\), integrated residues collapse to \(\lambda^{-1}\ln(1+Z/\kappa)\) with \(Z\) fixed by \((Q,\mathrm{sector})\); verified to \(10^{-6}\) for quarks and charged leptons under QCD(4L)+QED(2L).

Standard–Model Masses from Integer Baselines at a Universal RG Anchor

Jonathan Washburn

Parameter‑free pipeline: fixed sector yardsticks, structural integers, and a single global residue per sector at one anchor; each mass is a fixed point \(m_i=A_B\,\varphi^{\,r_i+f_B(m_i)}\) under QCD(4L)+QED(2L).

Ribbons and Braids: A Finite Constructor for Fermion Mass Exponents

Jonathan Washburn

Finite, auditable constructor collapses SM residues at a universal anchor to \(\mathcal F(Z)\) from integers; equal‑\(Z\) degeneracy and exact anchor ratios with no per‑species knobs.

Global Regularity for 3D Incompressible Navier–Stokes (Critical Scale)

Jonathan Washburn

Scale‑invariant PDE proof: critical vorticity \(L^{3/2}\) \(\varepsilon\)‑regularity, vorticity\(\to\)\(BMO^{-1}\) slice, critical element with density‑drop, and rigidity via small‑data \(BMO^{-1}\) theory and backward uniqueness.

Neutrino Sector No–Go under Dirac Zν=0 at a Single Anchor

Jonathan Washburn

With \(Z_\nu=0\), a single transport, and rung triplet \((0,11,19)\), both orderings fail the single‑anchor acceptance test; minimal paths to resolution are identified.

Single‑Anchor Mass Identity and No Per‑Flavor Tuning

Jonathan Washburn

Closed‑form anchor identity; meta‑theorem proving coherent equal‑\(Z\) response; leptonic CP from writhe; neutrino no‑go under neutral locks.

Pattern Persistence Across Boundary Dissolution

Jonathan Washburn

RS pattern invariant \(Z\) is conserved through dissolution; light‑memory is cost‑minimal; conditional recurrence with \(\mathbb{E}[T]=1/(\lambda p)\).

Recognition Science: The Complete Theory of Physical Computation

Jonathan Washburn

Introduces Recognition Science separating computation from recognition and presents a reversible CA with a uniform CA→TM compilation. Under a fixed‑rule, polynomial‑volume hypothesis with $O(n^{1/3}\log n)$ CA time and a linear decoder, the compilation gives a polynomial‑time TM decider for 3SAT (conditional); a seeded variant compiles to RP/ZPP (conditional).

Bootstrap Origin without Singularity: Emergent Spacetime from a Discrete Conserved Network

Jonathan Washburn

Singularity‑free origin via a discrete conserved network; minimal update‑cost selects an α‑attractor with α=φ^2; predicts cadence‑locked log‑periodic modulation and a UV softening at λ*=L_P/√π; emergent‑metric phase transition (R0) and a parameter‑free CP sector for baryogenesis.

Quantum Coherence as Gated Recognition: An Eight-Tick Mechanism with Parameter-Free Bridges

Jonathan Washburn

Frames coherence as a discrete recognition process with exact eight‑tick window identities acting as a matched filter; a unique convex cost yields Born weighting and BE/FD classes, with operational audits including window‑8 equalities, phase‑drift bounds, multi‑probe scaling, and discrete‑lag cosines.

Information-Limited Gravity: Source-Side Kernel Tests Against Distances, Growth, and Lensing

Jonathan Washburn

A fixed-constant, source-side kernel mildly weights the Poisson source without altering background FRW, yielding coherent, scale-aware shifts in growth and lensing with single-plot falsifiers; two covariant extensions preserve parameter minimality while addressing distance tensions.

Global Co-Identity Constraint (GCIC): Unity as a Gauge of Recognition Geometry

Single global phase Θ forces all pinned recognition lengths onto a φ‑geometric ladder ℓ_k = L_0 φ^{k+Θ}; GCIC is a gauge condition defining the steady‑state manifold, not a signal. A minimal log‑periodic cost yields stationary minima and testable signatures (φ‑band clustering, loop quantization, unity under rewiring).

Beyond the Hamiltonian: The Recognition Operator as Fundamental Dynamics

Jonathan Washburn

Proposes a discrete eight‑tick Recognition Operator that minimizes a unique convex cost, explaining Hamiltonian mechanics as a small‑deviation, continuum limit and predicting testable departures (non‑equilibrium cost–energy separation, ultra‑fast sidebands, and a built‑in collapse threshold).

The Inevitable Framework of Reality

Jonathan Washburn

Deductive, parameter‑free framework from a single logical tautology deriving \(3{+}1\) spacetime, \((c,\hbar,G)\), a universal energy quantum \(E_{\text{coh}}=\varphi^{-5}\,\text{eV}\), and quantitative predictions including \(\Omega_{\mathrm{dm}}\approx 0.2649\) and local \(H_0\approx 70.6\), with partial Lean formalization.

Late-time Recognition-Weighted Growth and the Hubble Tension

Jonathan Washburn

Reprocesses BAO/RSD/WL/SN/PV with a parameter‑fixed late‑time kernel to improve late‑time alignment of H0 while leaving early‑universe physics unchanged; diagnostics (ISW, E_G) remain within current uncertainties.

Local Collapse and Recognition Action: A Parameter‑Free Equivalence and a Mesoscopic Test

Jonathan Washburn

Parameter‑free bridge linking a gravity‑driven local‑collapse residual to recognition calculus via the identity \(C=2A\); reproduces Born weights and a shared weak‑measurement threshold, and proposes a near‑term mesoscopic test.

Zero-Parameter Quantum Gravity from Discrete Recognition Calculus

Jonathan Washburn

Parameter‑free quantum gravity from a discrete recognition calculus: unique cost and 8‑tick scaffold with emergent GR; interacting BRST‑consistent QG, DEC path integral, and RS‑normalized black‑hole semiclassics.

A boundary product–certificate proof of the Riemann Hypothesis

Jonathan Washburn

A single-route boundary proof: product certificate gives a boundary wedge (P+); Poisson/Herglotz and Cayley/Schur transfer positivity inside; a pinch eliminates off‑critical zeros. Uses only CR–Green pairing and Carleson energy bounds.

Paper II: Rotation Curves Under a Global‑Only Policy

Jonathan Washburn

Tests a strictly global, finite‑refresh correction to baryonic response using photometric geometry only; SPARC Q=1 benchmark with identical masks/error model and loss; comparative ILG vs MOND results.