Nicholas Archer Sanders

Dark Sector Ringing at the Bottom of the Well

The strong-CP problem is read in the geometry of the Euler circle. The QCD vacuum angle theta is a point on a circle, periodic modulo 2pi, and CP conjugation is a reflection across the real axis, theta to -theta, so CP is conserved only at theta = 0 and pi. Measurement places the...

Neutrino Flavors on the Helix: Neutrino oscillation and the Dirac CP phase in the Euler lens

Neutrino flavour oscillation is written in the language of the Euler circle. Each mass eigenstate is a unit-modulus phasor whose time derivative is the phasor turned through a right angle, ψ′ = −iEψ; lifted along a time axis the phasor becomes a helix, and the three eigenstates b...

Entropy without a ceiling

A cosmological model in which the dark sector is the zero-energy residual of gravitational entropy. A single vacuum term, the model's dark energy, follows Penrose's gravitational-entropy indicator, the ratio of Weyl to Ricci curvature, used as a timing signal and called the clock...

The Single Breath Euler Universe: The dark sector, gravity, and entropy as one rotational phase

This capstone of the Euler Cosmos series recasts the model so that a single uniform rotation in the plane is its generator rather than a lens laid over it. The dark-energy sector is carried by one first-order law: a complex density Z rotating at constant rate Ω_N, whose real part...

The Low-Entropy Dawn: Running a Breathing Universe Back to the Beginning

The third of the Euler Cosmos sequence, and a continuation of A Point on the Helix of Time. Where the first paper extracts the one prediction the data can refute and the second follows the breathing universe to its end, this paper runs the same time-symmetric cosmology back to th...

The Low-Entropy Dawn: Running a Breathing Universe Back to the Beginning

The third of the Euler Cosmos sequence, and a continuation of A Point on the Helix of Time. Where the first paper extracts the one prediction the data can refute and the second follows the breathing universe to its end, this paper runs the same time-symmetric cosmology back to th...

The Quiescent Crunch

A companion to The Breath Cannot Close, which established that the contracting branch of the Euler Cosmos loses its homogeneous (breath) description some sixty-nine e-folds and ninety orders of magnitude in density before any bounce, at white-dwarf densities, with no quantum grav...

The Quiescent Crunch

A companion to The Breath Cannot Close, which established that the contracting branch of the Euler Cosmos loses its homogeneous (breath) description some sixty-nine e-folds and ninety orders of magnitude in density before any bounce, at white-dwarf densities, with no quantum grav...

The Euler Cosmos: A Phase-Space Breathing Universe

A single-sinusoid dark-energy density in e-folds defines a "breathing" cosmology and forces the equation-of-state boundary wₐ ≤ −3(1+w₀)². The parameters fixed by the expansion history over-determine the growth of structure, giving a zero-parameter go/no-go test falsifiable by Eu...

The Euler Cosmos: A Phase-Space Breathing Universe

A single-sinusoid dark-energy density in e-folds defines a "breathing" cosmology and forces the equation-of-state boundary wₐ ≤ −3(1+w₀)². The parameters fixed by the expansion history over-determine the growth of structure, giving a zero-parameter go/no-go test falsifiable by Eu...