K. Arisaka

The GRIP on GDOS: GRIP: the Geometric Engine of Symmetry Breaking, from the Big Bang to Mind

Nothing in the universe stayed symmetric. It began hot and nearly featureless, and everything in it now — the particles, the elements, the molecules, the living cell, the mind reading this sentence — is what was left standing after one symmetry broke, and then another, and then a...

The Electron as the Ground State of Nature: The Six Oldest Questions about the Electron, Closed and Fenced within GG-Theory

Every electron in the universe is exactly like every other: the same mass, the same charge, the same spin. No electron has ever been seen to decay, or to reveal an inner structure. Two heavier copies of it exist — and only two. Every electron has a mirror twin — the positron, of...

From Euclid to GG-6: The Realization of Euclid's Elements in Six Dimensions: GU-5, OGN-5, and a Parameter-Free Reconstruction of Modern Physics

For 2300 years, the ideal of physical science has been Euclid's: a deductive system in which every theorem follows from a few postulates, with nothing left to fit. Modern physics drifted from that ideal — the Standard Model carries some 28 free parameters, general relativity adds...

The Standard Model as Theorem of GG-Theory: Its 28 Parameters as Observations of One Six-Dimensional Geometry

The Standard Model is the most successful theory ever built and the most unsatisfying: it predicts experiment to extraordinary precision, yet cannot say where its own numbers come from. Twenty-eight quantities — particle masses, force strengths, mixing angles — must be measured a...

Quantum Mechanics Derived from GG-Theory as Projection from 6D Bulk to 4D Boundary

For a century, quantum mechanics has been the most accurately tested theory ever written — and the least understood. It predicts the electron's magnetism to one part in ten trillion, yet no one can quite say why a measurement yields a single definite result, why outcomes appear r...

The GG-Constitution: Four Axioms and Seven Postulates of the GG-Theory Program, From Which GG-6, BI-6, OGN-5, and GDOS Descend as Theorems

Every theory of nature is built on a foundation, yet that foundation is rarely written down. For three and a half centuries — from Newton through Maxwell, Einstein, and the Standard Model — physics has worked beautifully without making its rules of admissibility explicit, relying...

GDOS: Geometric Dynamics of Open Systems: 6D GG-6 Bulk Projected to 4D Boundary for Quantum Measurement, General Relativity, and QFT

Every system in nature is open. No real system has ever been isolated. Indeed, the very act of observation already presumes that observer and observed are coupled. Yet for three and a half centuries, the foundational theories of physics have been written as if isolation were the...

The Kaxion: Cold Dark Matter as the Non-Spatial Compact-Angle Pseudoscalar of GG-6

Nearly a century ago, astronomers found that galaxies move as though they hold far more matter than we can see. Stars at the edges of spinning galaxies orbit too fast; the afterglow of the Big Bang bears the imprint of a substance outweighing ordinary atoms five to one. We call i...

Black-Hole Entropy under GG-Theory: The GDOS Reading of the Horizon as an OGGEP Port — with the Exact Bekenstein–Hawking A/4G_N Derived from Induced Gravity

Black holes are the strangest objects in nature. Fifty years ago Stephen Hawking discovered that they are not perfectly black: they glow faintly, and over almost unimaginable spans of time they evaporate away. This discovery created the deepest puzzle in modern physics. Whatever...

The Circle That Remembers, the Interval That Forgets: GG-Theory and the Sixteen Problems of Particle Physics and Cosmology

Physics keeps a short list of questions its own tools cannot close: what happens when a measurement happens; where the Standard Model's two dozen unexplained numbers come from; what launched the Big Bang; what became of the information that fell into a black hole. Their median ag...

Why Three Generations: A Three-Leg Derivation of N_g=3 from BI-6, MSMF, and GDOS Morse Stability

Everything ordinary in the universe is built from the first family of matter particles: the electron, the up quark, the down quark, and their neutrino. Yet nature manufactured two heavier copies of that family — and then stopped. Why three? For half a century the Standard Model h...

Symmetry, Conservation, and Geometry: Seven Steps from Noether, Bianchi, to Hopkins–Singer, and the Ledger the Open-System Turn Pays Out

Physicists have long believed that things are conserved because the world is symmetric. This review follows that belief through the seven results that built it, in the order they were found: at each step it gives way, and what replaces it is more interesting. Noether's first theo...

The GRIP on GDOS: GRIP: the Geometric Engine of Symmetry Breaking, from the Big Bang to Mind

Nothing in the universe stayed symmetric. It began hot and nearly featureless, and everything in it now — the particles, the elements, the molecules, the living cell, the mind reading this sentence — is what was left standing after one symmetry broke, and then another, and then a...

GDOS: Geometric Dynamics of Open Systems: 6D GG-6 Bulk Projected to 4D Boundary for Quantum Measurement, General Relativity, and QFT

Every system in nature is open. No real system has ever been isolated. Indeed, the very act of observation already presumes that observer and observed are coupled. Yet for three and a half centuries, the foundational theories of physics have been written as if isolation were the...

Anomaly Freedom of BI-6: The Modified Bianchi Identity (BI-6) for the Six-Force, Six-Dimensional Bulk (GG-6)

For half a century a quantum anomaly has been described as a flaw that shows up only when a classical symmetry is run through the quantum machine. This paper makes the opposite case: the anomaly is, at bottom, a classical and geometric fact about a higher-dimensional space, and t...

The Standard Cosmology as Theorem of GG-Theory: The Cosmic Inventory as Observations of One Six-Dimensional Geometry

For forty years the standard model of cosmology, ΛCDM, has described the universe with breathtaking precision and explained almost none of it: a handful of numbers, read off the sky, reproduce everything — yet the theory cannot say why those numbers take the values they do. This...

The Mirrors of Matter: Why Every Particle Has a Twin, Why Nature's Mirrors Break, and Why the Universe Is Made of Matter

Why is there something rather than nothing? A universe born even-handed between matter and antimatter should have annihilated to light. And why do the three mirrors of nature — charge (C), space (P), and time (T) — each fail to reflect the world faithfully, while their combinatio...

GG-Theory with GG-6: Geometry–Gauge Locking at the 6D Bulk (GG-6) at the Heart of Grand Geometric Theory (GG-Theory)

Gravity is the shape of spacetime. The other three forces are not: they are rules attached on top of spacetime rather than properties of it, and physics has kept these two kinds of law in separate boxes for a hundred years. This paper closes the gap by making them two faces of on...

Quantum Mechanics Derived from GG-Theory as Projection from 6D Bulk to 4D Boundary

For a century, quantum mechanics has been the most accurately tested theory ever written — and the least understood. It predicts the electron's magnetism to one part in ten trillion, yet no one can quite say why a measurement yields a single definite result, why outcomes appear r...

The Hubble Tension in the Light of GG-Theory: The Hubble Constant as One Reading of a Derived Expansion History H(t)

For a century, "how fast is the universe expanding?" was a question answered by measuring. By 2026 the measuring had split: read from the afterglow of the Big Bang, the rate comes out near 67 (in astronomers' units); read from the local ladder of stellar distances, 73.50 ± 0.81 —...