K. Arisaka

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...

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...

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 Qi-4 Pillars: Qi-QUA, Qi-EP, Qi-CON, Qi-HAL The Quantum-Information Backbone of GDOS

Everything that stays itself has to pay for it. A cell, a flame, a spectrometer, a galaxy: each holds a pattern in place by taking energy in at one boundary and letting it out at another. Physics has been able to price the energy for a century and a half. It has never had a price...

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...

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 GG-6 Lock Cluster: A Non-Spatial Kaluza–Klein Resonance near 3.85 TeV as the Standing LHC Falsifier of GG-Theory

Every particle discovered since the mid-1970s — the W and Z, the top, the Higgs — was on the Standard Model's list before it was found. This paper is about the first particle that is not on that list. GG-Theory derives, rather than fits, a new mass scale: the lock cluster at M_lo...

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...

The Real Geometry Beneath the Complex Numbers of Physics: Positive Frequency is Holomorphy — from Cardano's Cubics to Twistor Space, via the Sixth Dimension of GG-Theory

Complex numbers were invented in the sixteenth century to pass through the impossible square roots of the cubic; by 1925 they had become the working substance of physics, and the puzzle of why has stood ever since — posed at full strength by Penrose, for quantum amplitudes and fo...

The GG-6 Lock Cluster: A Non-Spatial Kaluza–Klein Resonance near 3.85 TeV as the Standing LHC Falsifier of GG-Theory

Every particle discovered since the mid-1970s — the W and Z, the top, the Higgs — was on the Standard Model's list before it was found. This paper is about the first particle that is not on that list. GG-Theory derives, rather than fits, a new mass scale: the lock cluster at M_lo...

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...

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...

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...

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 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...

The Real Geometry Beneath the Complex Numbers of Physics: Positive Frequency is Holomorphy — from Cardano's Cubics to Twistor Space, via the Sixth Dimension of GG-Theory

Complex numbers were invented in the sixteenth century to pass through the impossible square roots of the cubic; by 1925 they had become the working substance of physics, and the puzzle of why has stood ever since — posed at full strength by Penrose, for quantum amplitudes and fo...

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 Proton as the Ground Geometric Attractor of Matter: The Eleven Questions of the Proton, Closed and Fenced within GG-Theory

Nearly everything you have ever weighed is protons and neutrons, and nearly all of that weight is neither. The proton is a seething bound state — three valence quarks awash in gluons and quark–antiquark pairs, its mass almost entirely interaction energy — and yet it presents to t...

The Geometric Inevitability of Cosmos, Life, and Mind: The Self-Referential Closure of the GG-Theory Program

Why are we here? For four centuries science has described how the world works but left why we exist to philosophy. Life and consciousness have been treated as a lucky accident in an indifferent cosmos. This paper — the keystone of the GG-Theory program — argues that the accident...