Research-Stack/docs/concepts/GAMMA_RADIX_METAPROBE.md

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:

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:

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:

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:

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:

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:

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:

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:

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

2. Sparse residual transmission

Instead of transmitting full state, transmit:

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:

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:

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.