# Gamma Radix MetaProbe

Date: 2026-05-19
Status: BEAUTIFUL_PROVISIONAL

## One-line definition

Gamma Radix MetaProbe is a symbolic, receipt-bearing pulse-tracing architecture that uses gamma-length transmission as a radix metaphor for ultra-fine address/probe space, while keeping the implementation in software-accessible manifolds, WebGPU/PIST surfaces, DSP chunks, and FAMM/NUVMAP witness routing.

This is **not** a claim that ordinary software can dereference literal gamma-wavelength physical memory cells. It is a virtual chart/probe encoding model: gamma-scale coordinates are lawful names, not guaranteed physical addresses.

## Core idea

Instead of treating ray tracing as RGB light transport through fixed geometry, treat tracing as packet propagation through admissible manifolds:

```text
pulse transport -> attenuation / delay / scatter / residual -> inferred geometry/state
```

The gamma pulse is the conceptual radix carrier. Each pulse branch is sorted by energy, direction, time, chirality, interaction kernel, spectral mode, density response, and residual scar.

## Packet primitive

The packet aligns with the existing compactified packet primitive:

```text
Gamma_i = gamma_i ⊗ chi_i ⊗ kappa_i ⊗ tau_i ⊗ U_i Lambda_i a_i ⊗ theta_i ⊗ epsilon_i
```

Where:

- `gamma_i` = energy-density pulse / symbolic gamma carrier
- `chi_i` = chirality, braid orientation, or handedness witness
- `kappa_i` = material / interaction / scattering kernel
- `tau_i` = delay shell or time-of-flight term
- `U_i Lambda_i a_i` = spectral/eigen decomposition payload
- `theta_i` = manifold routing angle / projection coordinate
- `epsilon_i` = residual scar / admissibility failure witness

## Radix basis

The radix is not base-2 or base-10. It is a multi-axis pulse-state basis:

```text
R_Gamma = { E, theta, phi, t, chi, kappa, rho, sigma, epsilon }
```

Interpretation:

| Digit | Meaning |
|---|---|
| `E` | energy bin / symbolic frequency band |
| `theta, phi` | angular route / projection direction |
| `t` | pulse arrival time / time-of-flight |
| `chi` | chirality / braid handedness |
| `kappa` | interaction kernel |
| `rho` | density-field response |
| `sigma` | spectral mode / surface state |
| `epsilon` | residual scar / admissibility failure |

## Relation to existing stack

### NUVMAP

NUVMAP becomes the virtual address projection layer:

```text
N = (x, y, z, t, E, chi, sigma, rho, epsilon)
```

This gives the system an ultra-dense symbolic coordinate space without claiming literal physical storage density.

### FAMM

FAMM routes each pulse by field, shear, spectral, and residual state:

```text
Route_Gamma = FAMM(rho, G, C, epsilon)
G = A^T A
C = U Lambda U^T
```

Each branch is lawful only if its residual remains below the active boundary condition.

### BraidStorm

A single pulse becomes a strand; many pulses become a braidstorm:

```text
B_Gamma = { Gamma_1, Gamma_2, ..., Gamma_n }
```

The useful information comes from crossings, timing shear, chirality mismatch, interference, and closure receipts.

### PIST / WebGPU blitter surface

The practical implementation does not require gamma radiation. The gamma pulse can be projected as:

- Fourier packets
- DSP chunks
- audio-domain probes
- hexcode spectral packets
- WebGPU buffer transitions
- PIST-like surface dispatches

Each WebGPU dispatch is a bounded surface transition:

```text
PIST_GPU : Gamma_i -> Gamma_{i+1}
```

The GPU surface records residual/scar/witness output for each lawful or failed transition.

### MetaProbe / WaveProbe

Gamma Radix MetaProbe fits the pure L3 MetaProbe layer:

- non-settling
- probe-only
- low-impact
- cheap virtual execution
- exports only when a separate settlement / receipt boundary is invoked

It can be used to sample route quality, detect local manifold stress, or test compression/reconstruction hypotheses without committing every intermediate state.

## Where the savings show up

The savings are **not** from creating literal gamma-scale software memory. They appear by replacing expensive committed computation with cheaper probe computation.

### 1. Settlement avoidance

Most branches never need to become final committed state. MetaProbe can run symbolic probes, discard failed branches, and only export winners.

Savings axis:

```text
full execution + storage + commit
    -> probe + witness + selective export
```

### 2. Sparse residual transmission

Instead of transmitting full state, transmit:

```text
generator + route witness + residual repair
```

This is the same savings pattern as GCCL-Rep / nibble-delta witness substrate: sparse manifold telemetry can be much smaller than raw state replay.

### 3. WebGPU/edge/free-tier computation

For browser/WebGPU or free-tier worker contexts, the blitter surface can run bounded, low-duty symbolic probes. The value comes from using available local/edge GPU cycles for spectral transforms instead of renting continuous server compute.

Constraint: this must stay within provider terms and rate limits. The architecture is legitimate only when request caps, duty cycles, and fair-use boundaries are respected.

### 4. Cacheable probe fields

Radix branches that repeat can be memoized as route receipts:

```text
same packet class + same boundary condition -> reuse prior branch witness
```

This reduces repeated exploration of the same local manifold basin.

### 5. Compression-native reconstruction

The tracer is useful when output can be reconstructed from a compact law + residual, not when every pixel/sample/state must be explicitly stored.

Savings axis:

```text
raw samples -> lawful reconstruction core + residual pullback
```

### 6. Compute triage

The gamma radix is a sorting/routing device. It tells the system where expensive compute is worth spending:

- low residual: accept / cache / compress
- medium residual: refine locally
- high residual: route to FAMM scar / reject / quarantine
- impossible: NaN boundary / no commit

## Boundary condition

This concept is useful only if it remains honest about the physical/software boundary:

- software can name gamma-scale coordinates
- software cannot dereference them as physical RAM
- WebGPU can simulate/probe the radix surface
- FAMM/NUVMAP can route symbolic witnesses
- exactness must be handled through residual repair and receipts

## Minimal implementation target

A first prototype can be purely software:

1. Define `GammaPacket` with fields for energy bin, direction, time, chirality, spectral mode, and residual.
2. Implement radix branching over packet fields.
3. Run branches over a WebGPU or CPU spectral kernel.
4. Emit route receipts and residual scars.
5. Compare cost against naive full-state evaluation.

## Claim status

This should remain `BEAUTIFUL_PROVISIONAL` until there are benchmark receipts showing:

- probe cost vs full execution cost
- residual size vs raw output size
- cache hit rate for repeated route witnesses
- WebGPU dispatch cost under real browser limits
- byte-exact reconstruction where required

## Keeper phrase

Gamma Radix MetaProbe: gamma-length coordinates as virtual probe radix, not physical RAM; savings appear when cheap pulse-branch probes replace committed computation, raw state transfer, and repeated full execution.