Papers by Robert M . Gough
Unification Via Jurisdictional Gravity, 2026
This Paper gives a relatable understanding to the Unification Model of Everything. It specificall... more This Paper gives a relatable understanding to the Unification Model of Everything. It specifically aims at physics and personability with the equation being Energy specific and as E= everything this provides the most rudimentary foundation of existence.
In Honour of John "Cheech" Garret
Datamolecular™, 2026
Modern particle physics and precision cosmology both contain persistent, high-signal "small anoma... more Modern particle physics and precision cosmology both contain persistent, high-signal "small anomalies" that look qualitatively unrelated: direct CP asymmetries at the percent level in certain heavy-hadron decays, and the several-sigma discrepancy between early-universe and late-universe determinations of the Hubble constant H₀. This work proposes that both effects can be traced to a single, previously unmodeled _geometric systematic_: the implicit assumption that the physically relevant "completed angular cycle" for certain phaseaccumulation and inference pipelines is exactly 360°, when the effective closure angle is slightly offset. In the Monadic Resonance Mechanics (MRM) formulation, the relevant cycle is parameterized as `θ_cycle = 369.369°r ather than 360°. The resulting mismatch produces a small, universal, dimensionless residue that can enter any pipeline that (i) treats phase closure as exact, and (ii) propagates inferred quantities through one or more angular/phase-dependent steps. The central claim is not that Euclidean geometry is wrong, but that **some inference chains implicitly "close" an angular/ phase accounting convention at 360°**, and that the _measurable_ effect is a multiplicative residue that can survive renormalization, averaging, and calibration if it is baked into the convention itself.
Monadic Resonance Mechanics (MRM): A 369.369° Closure Residue Linking CP Asymmetry, Muon g-2, and H₀ Inference Depth, 2026
We propose that several "small but persistent" anomalies in particle physics and precision cosmol... more We propose that several "small but persistent" anomalies in particle physics and precision cosmology can arise from a single geometric residue caused by an implicit closure convention. In MRM, the effective completed angular/phase cycle relevant to certain phaseclosure and inference pipelines is θ_cycle = 369.369° rather than 360°. This induces a universal, percent-level residue that enters (i) signed asymmetry observables via conventiondependent selection and (ii) chained inference pipelines via multiplicative compounding with pipeline depth. We present explicit mapping rules for CP asymmetries, a closed-form estimate for the muon g-2 discrepancy scale, and a step-count propagation rule for H₀. The framework yields falsifiable predictions based on sign flips under convention inversions and multiplicative scaling with inference depth. 1. Motivation Modern physics contains high-signal anomalies that appear qualitatively unrelated: percentlevel CP asymmetries in certain heavy-hadron decay observables, the muon g-2 discrepancy at the 10^-9 level, and the Hubble tension between early-and late-universe determinations of H₀. MRM treats these as potentially sharing a common origin: a small geometric mismatch embedded in phase-closure conventions that are assumed exact at 360°. The core claim is not that Euclidean geometry fails, but that some measurement and inference conventions implicitly "close" angular/phase accounting at 360°, and a small closure excess can generate a residual multiplicative bias. If the residue is part of the convention itself, it can survive renormalization and calibration, and propagate through chained pipelines. 2. Fixed geometric definitions (frozen constants) Let θ_cycle = 369.369°a nd define the closure ratio α ≡ θ_cycle / 360°. Two equivalent residue normalizations are useful: 360-normalized raw residue: R ≡ α-1 = (θ_cycle-360°)/360°. Cycle-normalized residue: Δ ≡ (θ_cycle-360°)/θ_cycle. These are related exactly by Δ = R/(1+R) and R = Δ/(1-Δ), so any appearance of R vs Δ is a normalization choice, not a separate parameter. A convenient scaling factor used in the original 369° metrics framing is simply s ≡ α = 1 + R = θ_cycle/360° ≈ 1.026026 (numerically, given θ_cycle). 3. Signed vs unsigned residues (what enters what) MRM distinguishes an unsigned geometric mismatch from the signed residue seen by asymmetry definitions. Unsigned residue (geometry/inference): R (or equivalently s) propagates through inference chains as a multiplicative bias. Signed/selection residue (asymmetry observables): R_s is what signed difference-over-sum observables "see" after conventions and conjugation mapping. Define R_s = σ • κ • R where 2 2 0 8 σ {+1,-1} encodes the sign convention/orientation and κ is a constrained channel weight. To keep the model falsifiable, κ should be rule-based rather than continuously fit per channel; the minimal model sets κ = 1 unless an explicitly stated cancellation rule applies. Rule: use R (or s) for chained inference pipelines; use R_s for signed asymmetries. 4. Core propagation laws 4.1 Closure correction factor and compounding
This work introduces a comparative simulation of electromagnetic pulse propagation through disper... more This work introduces a comparative simulation of electromagnetic pulse propagation through dispersive media under two regimes: (1) conventional Lorentz-oscillator dispersion and (2) an augmented framework incorporating a novel coherence-scaling operator. The augmented regime is shown to produce altered group delays and dispersion windows consistent with anomalous propagation phenomena. The results highlight a possible pathway to new temporal refraction techniques for advanced communications, precision timing, and propulsion concepts. Proprietary implementation specifics remain withheld under trade-secret protections.
BOBS introduces a harmonic alternative to binary logic. By replacing Boolean dual states with sym... more BOBS introduces a harmonic alternative to binary logic. By replacing Boolean dual states with symbolic resonance frameworks, computation transcends bitwise toggling and instead operates within coherence φ windows defined by 369.369…° and .
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Papers by Robert M . Gough
In Honour of John "Cheech" Garret