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Solves all four small-SSM language & recall bottlenecks natively in fixed O(1) SRAM:
1. Universal Zero-UNK UTF-8 + 4,096-Crystal Bilingual/Code/Math Codec (O(1) bucketed
longest-match encoder, 0.0% <UNK> on DE/EN/Code/Math).
2. Multi-Field O(1) Compound Carrier:
- Exact ring-carried causal short-conv (`conv_ring`)
- 4-plane GSSM-Selective log-complement rapidity stack (`depth_z`)
- PS-Lifted Z2 Möbius-Lorentz polarity & momentum (`polarity_rho`)
- 4-aperture Holographic Fourier phase waves (`holo_re`, `holo_im`)
- Causal 1-step delayed Optical Kerr-Cavity Delta Attention (`cavity_prev_h`, `cavity_m`)
3. Non-Mutating Orthogonal Receiver Bank: parallel lenses read disjoint carrier
subspaces (Syntax Shadow, Semantic Shadow, Focal Hierarchy, Z2 Polarity, Fourier
Apertures, Kerr-Cavity Associative Readout, Epistemic Transmission Gate) without
mutating the carrier (cryptographic SHA-256 invariant).
4. Protected Mathematical Invariant Embedding Subspace (`embed.weight[:, -16:]`)
enabling direct tensor-level Organ Shells and zero-shot cross-lingual invariants.
"""
from __future__ import annotations
import hashlib
import math
from dataclasses import dataclass
from typing import Any, Dict, List, Optional, Sequence, Tuple
import numpy as np
import torch
import torch.nn as nn
import torch.nn.functional as F
from .scan import (
EPS,
LOG_COMPLEMENT_CLAMP,
MuPLinear,
dispatch_affine_scan,
holographic_aperture_scan,
kerr_cavity_scan,
moebius_rapidity_scan,
)
class ZeroUNKCodec:
"""Lossless UTF-8 byte + O(1)-indexed multi-byte crystal codec with 0% <UNK>.
Token layout:
0..255 : Raw UTF-8 bytes (guarantees every string on Earth is representable)
256..263 : <BOS>, <EOS>, <PAD>, <SEP>, <FACT>, <SAY>, <SILENCE>, <QUERY>
264..cap-1 : Lossless multi-byte vocabulary / morpheme / M-Rail crystal slots
"""
BOS = 256
EOS = 257
PAD = 258
SEP = 259
FACT = 260
SAY = 261
SILENCE = 262
QUERY = 263
BASE_VOCAB = 264
SPECIAL_MAP: Dict[str, int] = {
"<BOS>": BOS,
"<EOS>": EOS,
"<PAD>": PAD,
"<SEP>": SEP,
"<FACT>": FACT,
"<SAY>": SAY,
"<SILENCE>": SILENCE,
"<QUERY>": QUERY,
}
def __init__(self, vocab_capacity: int = 4096) -> None:
if vocab_capacity < self.BASE_VOCAB:
raise ValueError(f"vocab_capacity must be >= {self.BASE_VOCAB}")
self.vocab_capacity = vocab_capacity
self.id_to_bytes: Dict[int, bytes] = {i: bytes([i]) for i in range(256)}
self.bytes_to_id: Dict[bytes, int] = {}
self.next_crystal_id = self.BASE_VOCAB
self._inv_special = {v: k for k, v in self.SPECIAL_MAP.items()}
# 256 first-byte buckets sorted descending by byte length for fast O(1) greedy match
self._first_byte_buckets: List[List[Tuple[bytes, int]]] = [[] for _ in range(256)]
def _rebuild_buckets(self) -> None:
buckets: List[List[Tuple[bytes, int]]] = [[] for _ in range(256)]
for raw, cid in self.bytes_to_id.items():
if len(raw) >= 2:
buckets[raw[0]].append((raw, cid))
for b_list in buckets:
b_list.sort(key=lambda pair: len(pair[0]), reverse=True)
self._first_byte_buckets = buckets
def register_crystal(self, text: str) -> Optional[int]:
"""Crystallize a recurring multi-byte morpheme/word into a single token ID."""
raw = text.encode("utf-8")
if len(raw) <= 1:
return raw[0] if len(raw) == 1 else None
if raw in self.bytes_to_id:
return self.bytes_to_id[raw]
if self.next_crystal_id >= self.vocab_capacity:
return None
cid = self.next_crystal_id
self.next_crystal_id += 1
self.id_to_bytes[cid] = raw
self.bytes_to_id[raw] = cid
bucket = self._first_byte_buckets[raw[0]]
bucket.append((raw, cid))
bucket.sort(key=lambda pair: len(pair[0]), reverse=True)
return cid
def register_crystal_bytes(self, cid: int, raw: bytes) -> None:
"""Direct restoration helper used by snapshot loader."""
self.id_to_bytes[cid] = raw
if len(raw) >= 2:
self.bytes_to_id[raw] = cid
bucket = self._first_byte_buckets[raw[0]]
bucket.append((raw, cid))
bucket.sort(key=lambda pair: len(pair[0]), reverse=True)
self.next_crystal_id = max(self.next_crystal_id, cid + 1)
def encode(
self,
text: str,
*,
add_bos: bool = False,
add_eos: bool = False,
use_crystals: bool = True,
) -> List[int]:
ids: List[int] = []
if add_bos:
ids.append(self.BOS)
idx = 0
n = len(text)
has_crystals = use_crystals and bool(self.bytes_to_id)
buckets = self._first_byte_buckets
while idx < n:
matched_special = None
if text[idx] == "<":
for marker, tok_id in self.SPECIAL_MAP.items():
if text.startswith(marker, idx):
matched_special = (marker, tok_id)
break
if matched_special is not None:
ids.append(matched_special[1])
idx += len(matched_special[0])
continue
next_lt = text.find("<", idx + 1)
chunk = text[idx:] if next_lt == -1 else text[idx:next_lt]
raw = chunk.encode("utf-8")
if not has_crystals:
ids.extend(raw)
else:
b_idx = 0
b_len = len(raw)
while b_idx < b_len:
first_b = raw[b_idx]
candidates = buckets[first_b]
hit_id = None
hit_span = 1
rem_len = b_len - b_idx
for cand_bytes, cand_id in candidates:
c_len = len(cand_bytes)
if c_len <= rem_len and raw[b_idx : b_idx + c_len] == cand_bytes:
hit_id = cand_id
hit_span = c_len
break
if hit_id is not None:
ids.append(hit_id)
b_idx += hit_span
else:
ids.append(first_b)
b_idx += 1
idx = n if next_lt == -1 else next_lt
if add_eos:
ids.append(self.EOS)
return ids
def decode(self, ids: Sequence[int], *, skip_special: bool = False) -> str:
out_parts: List[str] = []
byte_buf = bytearray()
def flush_bytes() -> None:
if byte_buf:
out_parts.append(byte_buf.decode("utf-8", errors="replace"))
byte_buf.clear()
for tok in ids:
t = int(tok)
if t in self.id_to_bytes:
byte_buf.extend(self.id_to_bytes[t])
elif t in self._inv_special:
flush_bytes()
if not skip_special:
out_parts.append(self._inv_special[t])
elif 0 <= t < 256:
byte_buf.append(t)
flush_bytes()
return "".join(out_parts)
def compression_stats(self, text: str) -> Dict[str, float]:
raw_len = len(text.encode("utf-8"))
ids = self.encode(text, use_crystals=True)
cry_len = len(ids)
unk_cnt = sum(
1 for tid in ids if tid not in self.id_to_bytes and tid not in self._inv_special
)
return {
"utf8_bytes": float(raw_len),
"crystal_tokens": float(cry_len),
"bytes_per_token": round(raw_len / float(max(cry_len, 1)), 4),
"active_crystals": float(len(self.bytes_to_id)),
"unk_count": float(unk_cnt),
}
@dataclass(frozen=True)
class CarrierConfig:
vocab_size: int = 4096
d_model: int = 192
n_layers: int = 2
n_depths: int = 4 # byte/syllable, word, clause, discourse
d_depth: int = 16
n_polarities: int = 4 # PS-Lifted Z2 polarity channels
d_polarity: int = 8
n_apertures: int = 4 # Disjoint holographic Fourier phase windows
d_aperture: int = 16
n_cavity_heads: int = 4 # Optical Kerr-Cavity O(1) Attention heads
cavity_angles: int = 8 # P = 4 * cavity_angles = 32 orthogonal Fejér modes/head
d_cavity_val: int = 24 # Value channels per cavity head
use_kerr_resonator: bool = True
invariant_dim: int = 16 # Protected tail coordinates in embed.weight
conv_kernel: int = 4 # Causal short-conv kernel (exact ring-carried)
ffn_mult: int = 2
focal_depths: Tuple[float, ...] = (-1.0, -0.33, 0.33, 1.0)
depth_gamma_init: Tuple[float, ...] = (0.30, 0.68, 0.90, 0.992)
@classmethod
def ane_m4_p64(
cls,
vocab_size: int = 4096,
d_model: int = 192,
n_layers: int = 2,
) -> "CarrierConfig":
"""Hardware-quantum M4 ANE configuration (`P = 4 * 16 = 64`, `d_cavity_val = 64`)."""
return cls(
vocab_size=int(vocab_size),
d_model=int(d_model),
n_layers=int(n_layers),
cavity_angles=16,
d_cavity_val=64,
conv_kernel=8,
)
@dataclass
class LayerCarrierState:
"""Exact O(1) recurrent carrier state of a single HypercodecLayer."""
conv_ring: torch.Tensor # (B, d_model, conv_kernel - 1)
depth_z: torch.Tensor # (B, n_depths, d_depth) in (-inf, 0]
polarity_rho: torch.Tensor # (B, n_polarities, d_polarity) in (-inf, +inf)
holo_re: torch.Tensor # (B, n_apertures, d_aperture)
holo_im: torch.Tensor # (B, n_apertures, d_aperture)
cavity_prev_h: torch.Tensor # (B, d_model) exact 1-step causal delay register
cavity_m: torch.Tensor # (B, n_cavity_heads, 4 * cavity_angles, d_cavity_val)
def detach(self) -> "LayerCarrierState":
return LayerCarrierState(
conv_ring=self.conv_ring.detach(),
depth_z=self.depth_z.detach(),
polarity_rho=self.polarity_rho.detach(),
holo_re=self.holo_re.detach(),
holo_im=self.holo_im.detach(),
cavity_prev_h=self.cavity_prev_h.detach(),
cavity_m=self.cavity_m.detach(),
)
def clone(self) -> "LayerCarrierState":
return LayerCarrierState(
conv_ring=self.conv_ring.clone(),
depth_z=self.depth_z.clone(),
polarity_rho=self.polarity_rho.clone(),
holo_re=self.holo_re.clone(),
holo_im=self.holo_im.clone(),
cavity_prev_h=self.cavity_prev_h.clone(),
cavity_m=self.cavity_m.clone(),
)
def tensors(self) -> Tuple[torch.Tensor, ...]:
return (
self.conv_ring,
self.depth_z,
self.polarity_rho,
self.holo_re,
self.holo_im,
self.cavity_prev_h,
self.cavity_m,
)
@dataclass
class CompoundCarrierState:
"""Complete O(1) compound carrier across all layers + last surface readout slice."""
layers: List[LayerCarrierState]
surface_field: Optional[Dict[str, torch.Tensor]] = None
step_count: int = 0
def detach(self) -> "CompoundCarrierState":
surf = None
if self.surface_field is not None:
surf = {k: v.detach() for k, v in self.surface_field.items()}
return CompoundCarrierState(
layers=[layer.detach() for layer in self.layers],
surface_field=surf,
step_count=self.step_count,
)
def clone(self) -> "CompoundCarrierState":
surf = None
if self.surface_field is not None:
surf = {k: v.clone() for k, v in self.surface_field.items()}
return CompoundCarrierState(
layers=[layer.clone() for layer in self.layers],
surface_field=surf,
step_count=self.step_count,
)
def nbytes(self) -> int:
total = 0
for layer in self.layers:
for t in layer.tensors():
total += t.numel() * t.element_size()
return total
def sha256(self) -> str:
digest = hashlib.sha256()
digest.update(f"step:{self.step_count}".encode("ascii"))
for idx, layer in enumerate(self.layers):
digest.update(f"L{idx}".encode("ascii"))
for t in layer.tensors():
arr = np.ascontiguousarray(t.detach().cpu().numpy())
digest.update(str(arr.dtype).encode("ascii"))
digest.update(repr(arr.shape).encode("ascii"))
digest.update(arr.view(np.uint8).tobytes())
if self.surface_field is not None:
for key in sorted(self.surface_field.keys()):
digest.update(key.encode("utf-8"))
arr = np.ascontiguousarray(self.surface_field[key].detach().cpu().numpy())
digest.update(arr.view(np.uint8).tobytes())
return digest.hexdigest()
def pack_flat_f32(self) -> np.ndarray:
"""Pack recurrent O(1) state into one contiguous float32 array for NPU SRAM."""
chunks = []
for layer in self.layers:
for t in layer.tensors():
chunks.append(t.detach().cpu().to(torch.float32).reshape(-1).numpy())
return np.concatenate(chunks, axis=0) if chunks else np.zeros((0,), dtype=np.float32)
class HypercodecLayer(nn.Module):
"""Single NoPE Multi-Field GSSM + Kerr-Cavity O(1) Attention + Hypercodec Layer."""
def __init__(self, cfg: CarrierConfig) -> None:
super().__init__()
self.cfg = cfg
D = cfg.d_model
K = cfg.conv_kernel
# 1. Exact ring-carried depthwise causal short-conv
self.conv_dw = nn.Conv1d(D, D, kernel_size=K, groups=D, bias=True)
nn.init.xavier_uniform_(self.conv_dw.weight, gain=0.4)
nn.init.zeros_(self.conv_dw.bias)
# 2. Multi-depth bounded selective rapidity projections (muP scaled)
depth_dim = cfg.n_depths * cfg.d_depth
self.W_depth_v = MuPLinear(D, depth_dim, base_d=D, init_gain=0.6)
self.W_depth_gate = MuPLinear(D, depth_dim, base_d=D, init_gain=0.6)
self.W_depth_gamma = MuPLinear(D, depth_dim, base_d=D, init_gain=0.15, bias=True)
self.W_depth_alpha = MuPLinear(D, depth_dim, base_d=D, init_gain=0.15, bias=True)
with torch.no_grad():
bias_view = self.W_depth_gamma.linear.bias.view(cfg.n_depths, cfg.d_depth)
for idx in range(cfg.n_depths):
g_init = cfg.depth_gamma_init[idx % len(cfg.depth_gamma_init)]
g_clamped = min(max(g_init, 0.01), 0.999)
logit = math.log(g_clamped / (1.0 - g_clamped))
bias_view[idx].fill_(logit)
# 3. PS-Lifted Z2 Möbius-Lorentz polarity projections (high clause persistence + sparse write)
pol_dim = cfg.n_polarities * cfg.d_polarity
self.W_pol_v = MuPLinear(D, pol_dim, base_d=D, init_gain=0.6)
self.W_pol_gamma = MuPLinear(D, pol_dim, base_d=D, init_gain=0.15, bias=True)
self.W_pol_beta = MuPLinear(D, pol_dim, base_d=D, init_gain=0.4, bias=True)
with torch.no_grad():
self.W_pol_gamma.linear.bias.fill_(math.log(0.96 / 0.04))
self.W_pol_beta.linear.bias.fill_(-2.0)
# 4. Multi-aperture holographic complex phase plate (separate Q/K angles + sparse write)
holo_dim = cfg.n_apertures * cfg.d_aperture
self.W_holo_u = MuPLinear(D, holo_dim, base_d=D, init_gain=0.6)
self.W_holo_gate = MuPLinear(D, holo_dim, base_d=D, init_gain=0.4, bias=True)
self.W_holo_gamma = MuPLinear(D, holo_dim, base_d=D, init_gain=0.15, bias=True)
self.W_holo_k_phase = MuPLinear(D, holo_dim, base_d=D, init_gain=0.25)
self.W_holo_q_phase = MuPLinear(D, holo_dim, base_d=D, init_gain=0.25)
with torch.no_grad():
self.W_holo_gamma.linear.bias.fill_(math.log(0.96 / 0.04))
self.W_holo_gate.linear.bias.fill_(-2.0)
# 5. Native O(1) Optical Kerr-Cavity Delta Attention
# Shared orthogonal anchor guarantees step-0 induction alignment:
# theta_k(t) reads h_{t-1} (key before value), theta_q(T) reads h_T (query key)!
cav_ang_dim = cfg.n_cavity_heads * cfg.cavity_angles
cav_val_dim = cfg.n_cavity_heads * cfg.d_cavity_val
self.W_cav_anchor = nn.Linear(D, cav_ang_dim, bias=False)
nn.init.orthogonal_(self.W_cav_anchor.weight, gain=1.1)
self.W_cav_k_ctx = MuPLinear(D, cav_ang_dim, base_d=D, init_gain=0.06)
self.W_cav_q_ctx = MuPLinear(D, cav_ang_dim, base_d=D, init_gain=0.06)
self.W_cav_val = MuPLinear(2 * D, cav_val_dim, base_d=2 * D, init_gain=0.7)
self.W_cav_beta = MuPLinear(2 * D, cfg.n_cavity_heads, base_d=2 * D, init_gain=0.4, bias=True)
self.W_cav_erase = MuPLinear(2 * D, cfg.n_cavity_heads, base_d=2 * D, init_gain=0.3, bias=True)
self.W_cav_decay = MuPLinear(2 * D, cfg.n_cavity_heads, base_d=2 * D, init_gain=0.2, bias=True)
with torch.no_grad():
self.W_cav_beta.linear.bias.fill_(-1.2) # Selective write
self.W_cav_erase.linear.bias.fill_(1.8) # Strong Delta erase-before-write
self.W_cav_decay.linear.bias.fill_(-3.0) # Near-lossless retention over gaps
if cfg.use_kerr_resonator:
self.resonator_lam = nn.Parameter(torch.full((1, cfg.n_cavity_heads, 1), 0.02))
else:
self.register_parameter("resonator_lam", None)
total_carrier_read = depth_dim + 2 * pol_dim + 2 * holo_dim + cav_val_dim
self.norm_pre = nn.RMSNorm(D)
self.W_merge = MuPLinear(total_carrier_read, D, base_d=D, init_gain=0.6)
self.norm_ffn = nn.RMSNorm(D)
ffn_hidden = D * cfg.ffn_mult
self.ffn_gate = nn.Linear(D, ffn_hidden, bias=False)
self.ffn_up = nn.Linear(D, ffn_hidden, bias=False)
self.ffn_down = nn.Linear(ffn_hidden, D, bias=False)
def init_state(
self,
batch_size: int,
device: torch.device,
dtype: torch.dtype = torch.float32,
) -> LayerCarrierState:
cfg = self.cfg
return LayerCarrierState(
conv_ring=torch.zeros(
batch_size, cfg.d_model, max(cfg.conv_kernel - 1, 1), device=device, dtype=dtype
),
depth_z=torch.zeros(
batch_size, cfg.n_depths, cfg.d_depth, device=device, dtype=dtype
),
polarity_rho=torch.zeros(
batch_size, cfg.n_polarities, cfg.d_polarity, device=device, dtype=dtype
),
holo_re=torch.zeros(
batch_size, cfg.n_apertures, cfg.d_aperture, device=device, dtype=dtype
),
holo_im=torch.zeros(
batch_size, cfg.n_apertures, cfg.d_aperture, device=device, dtype=dtype
),
cavity_prev_h=torch.zeros(batch_size, cfg.d_model, device=device, dtype=dtype),
cavity_m=torch.zeros(
batch_size,
cfg.n_cavity_heads,
4 * cfg.cavity_angles,
cfg.d_cavity_val,
device=device,
dtype=dtype,
),
)
def forward(
self,
x: torch.Tensor,
state: Optional[LayerCarrierState] = None,
*,
scan_mode: str = "auto",
) -> Tuple[torch.Tensor, LayerCarrierState, Dict[str, torch.Tensor]]:
B, T, D = x.shape
cfg = self.cfg
if state is None:
state = self.init_state(B, x.device, x.dtype)
h = self.norm_pre(x)
# 1. Exact ring-carried causal short convolution
K = cfg.conv_kernel
h_t = h.transpose(1, 2) # (B, D, T)
if K > 1:
padded = torch.cat([state.conv_ring, h_t], dim=2)
new_conv_ring = padded[:, :, -(K - 1) :]
u_local = F.silu(self.conv_dw(padded)).transpose(1, 2)
else:
new_conv_ring = state.conv_ring
u_local = F.silu(self.conv_dw(h_t)).transpose(1, 2)
# 2. Multi-Depth GSSM-Selective log-complement rapidity scan
v_d = torch.tanh(self.W_depth_v(u_local))
g_d = torch.sigmoid(self.W_depth_gate(u_local))
gamma_d = torch.sigmoid(self.W_depth_gamma(u_local)).view(
B, T, cfg.n_depths, cfg.d_depth
)
alpha_d = torch.sigmoid(self.W_depth_alpha(u_local)).view(
B, T, cfg.n_depths, cfg.d_depth
)
v_gated = (v_d * g_d).view(B, T, cfg.n_depths, cfg.d_depth)
w_sq = torch.clamp(v_gated * v_gated, max=LOG_COMPLEMENT_CLAMP)
drive_d = alpha_d * torch.log(1.0 - w_sq + EPS)
z_seq, z_fin = dispatch_affine_scan(drive_d, gamma_d, state.depth_z, mode=scan_mode)
depth_s = torch.sqrt(torch.clamp(1.0 - torch.exp(z_seq), min=0.0) + EPS)
# 3. PS-Lifted Z2 Möbius-Lorentz polarity & momentum scan
v_p = torch.tanh(self.W_pol_v(u_local)).view(
B, T, cfg.n_polarities, cfg.d_polarity
)
gamma_p = torch.sigmoid(self.W_pol_gamma(u_local)).view(
B, T, cfg.n_polarities, cfg.d_polarity
)
beta_p = torch.sigmoid(self.W_pol_beta(u_local)).view(
B, T, cfg.n_polarities, cfg.d_polarity
)
pol_seq, _rho_seq, rho_fin = moebius_rapidity_scan(
v_p, gamma_p, beta_p, state.polarity_rho, scan_mode=scan_mode
)
pol_mag = depth_s.mean(dim=-1, keepdim=True).mean(dim=-2, keepdim=True)
z2_plus = 0.5 * (1.0 + pol_seq) * (0.5 + 0.5 * pol_mag)
z2_minus = 0.5 * (1.0 - pol_seq) * (0.5 + 0.5 * pol_mag)
z2_physical = z2_plus + z2_minus
z2_momentum = z2_plus - z2_minus
# 4. Multi-Aperture Holographic Fourier Phase Scan
u_holo_raw = torch.tanh(self.W_holo_u(u_local)) * torch.sigmoid(
self.W_holo_gate(u_local)
)
u_holo = u_holo_raw.view(B, T, cfg.n_apertures, cfg.d_aperture)
gamma_h = torch.sigmoid(self.W_holo_gamma(u_local)).view(
B, T, cfg.n_apertures, cfg.d_aperture
)
phi_k = math.pi * torch.tanh(self.W_holo_k_phase(u_local)).view(
B, T, cfg.n_apertures, cfg.d_aperture
)
phi_q = math.pi * torch.tanh(self.W_holo_q_phase(u_local)).view(
B, T, cfg.n_apertures, cfg.d_aperture
)
holo_re_read, holo_im_read, holo_re_fin, holo_im_fin = holographic_aperture_scan(
u_holo, gamma_h, phi_k, phi_q, state.holo_re, state.holo_im, scan_mode=scan_mode
)
rms_re = torch.sqrt(torch.mean(holo_re_read * holo_re_read, dim=-1, keepdim=True) + 1e-5)
rms_im = torch.sqrt(torch.mean(holo_im_read * holo_im_read, dim=-1, keepdim=True) + 1e-5)
holo_re_norm = holo_re_read / rms_re
holo_im_norm = holo_im_read / rms_im
# 5. Native O(1) Optical Kerr-Cavity Delta Attention (exact carried 1-step shift)
if T > 0:
h_prev_seq = torch.cat([state.cavity_prev_h.unsqueeze(1), h[:, :-1, :]], dim=1)
new_cavity_prev_h = h[:, -1, :]
else:
h_prev_seq = h
new_cavity_prev_h = state.cavity_prev_h
H_c = cfg.n_cavity_heads
M_ang = cfg.cavity_angles
D_v = cfg.d_cavity_val
pair_ctx = torch.cat([h_prev_seq, h], dim=-1)
theta_k = math.pi * torch.tanh(
self.W_cav_anchor(h_prev_seq) + self.W_cav_k_ctx(u_local)
).view(B, T, H_c, M_ang)
theta_q = math.pi * torch.tanh(
self.W_cav_anchor(h) + self.W_cav_q_ctx(u_local)
).view(B, T, H_c, M_ang)
cav_vals = torch.tanh(self.W_cav_val(pair_ctx)).view(B, T, H_c, D_v)
cav_beta = torch.sigmoid(self.W_cav_beta(pair_ctx)).view(B, T, H_c, 1)
cav_erase = torch.sigmoid(self.W_cav_erase(pair_ctx)).view(B, T, H_c, 1)
cav_decay = (0.15 * torch.sigmoid(self.W_cav_decay(pair_ctx))).view(B, T, H_c, 1)
cav_read_seq, cav_m_fin = kerr_cavity_scan(
theta_k,
theta_q,
cav_vals,
cav_beta,
cav_erase,
cav_decay,
state.cavity_m,
resonator_lam=self.resonator_lam,
)
merged_features = torch.cat(
[
depth_s.reshape(B, T, -1),
z2_physical.reshape(B, T, -1),
z2_momentum.reshape(B, T, -1),
holo_re_norm.reshape(B, T, -1),
holo_im_norm.reshape(B, T, -1),
cav_read_seq.reshape(B, T, -1),
],
dim=-1,
)
y = x + self.W_merge(merged_features)
h_ffn = self.norm_ffn(y)
f_act = F.silu(self.ffn_gate(h_ffn)) * self.ffn_up(h_ffn)
y = y + self.ffn_down(f_act)
next_state = LayerCarrierState(
conv_ring=new_conv_ring,
depth_z=z_fin,
polarity_rho=rho_fin,
holo_re=holo_re_fin,
holo_im=holo_im_fin,
cavity_prev_h=new_cavity_prev_h,
cavity_m=cav_m_fin,
)
carrier_slice = {
"depth_s": depth_s[:, -1],
"z2_physical": z2_physical[:, -1],
"z2_momentum": z2_momentum[:, -1],
"holo_re": holo_re_norm[:, -1],
"holo_im": holo_im_norm[:, -1],
"cavity_read": cav_read_seq[:, -1],
"seq_depth_s": depth_s,
"seq_z2_momentum": z2_momentum,
"seq_holo_re": holo_re_norm,
"seq_cavity_read": cav_read_seq,
}
return y, next_state, carrier_slice
class OrthogonalReceiverBank(nn.Module):
"""Non-mutating parallel Optical Hypercodec receivers over the Compound Carrier."""
def __init__(self, cfg: CarrierConfig) -> None:
super().__init__()
self.cfg = cfg
D = cfg.d_model
inv_d = cfg.invariant_dim if D >= 64 else 0
usable_d = D - inv_d
half_d = usable_d // 2
self.half_d = half_d
self.usable_d = usable_d
self.inv_d = inv_d
self.norm_final = nn.RMSNorm(D)
# Disjoint orthogonal shadow projections (XY syntax vs XZ relation; excludes invariant tail)
self.W_shadow_xy = nn.Linear(half_d, cfg.vocab_size, bias=False)
self.W_shadow_xz = nn.Linear(usable_d - half_d, cfg.vocab_size, bias=False)
# Focal-depth hierarchy lens -> vocabulary contribution
self.W_focus_vocab = nn.Linear(cfg.d_depth, cfg.vocab_size, bias=False)
# Z2 polarization momentum lens -> directional / polarity contribution
pol_flat = cfg.n_polarities * cfg.d_polarity
self.W_pol_vocab = nn.Linear(pol_flat, cfg.vocab_size, bias=False)
# Disjoint Fourier aperture lenses -> wave phase contribution
holo_flat = cfg.n_apertures * cfg.d_aperture
self.W_fourier_vocab = nn.Linear(holo_flat, cfg.vocab_size, bias=False)
# Dedicated Optical Kerr-Cavity associative recall lens
cav_flat = cfg.n_cavity_heads * cfg.d_cavity_val
self.W_cavity_vocab = nn.Linear(cav_flat, cfg.vocab_size, bias=False)
# Epistemic transmission / Foss-Gate (measures carrier coherence -> [0, 1])
self.W_transmission = nn.Linear(D + pol_flat, 1, bias=True)
nn.init.constant_(self.W_transmission.bias, 1.5)
for head in (self.W_focus_vocab, self.W_pol_vocab, self.W_fourier_vocab):
nn.init.xavier_uniform_(head.weight, gain=0.25)
nn.init.xavier_uniform_(self.W_cavity_vocab.weight, gain=0.45)
def render_focus_plane(
self,
depth_stack: torch.Tensor,
focus_depth: float = 0.0,
aperture_sharpness: float = 6.0,
) -> torch.Tensor:
"""Continuous optical focus sweep across the depth planes."""
if len(self.cfg.focal_depths) == self.cfg.n_depths:
depths = torch.tensor(
self.cfg.focal_depths, device=depth_stack.device, dtype=depth_stack.dtype
)
else:
depths = torch.linspace(
-1.0, 1.0, self.cfg.n_depths, device=depth_stack.device, dtype=depth_stack.dtype
)
dist = torch.abs(depths - float(focus_depth))
weights = 1.0 / (1.0 + aperture_sharpness * dist * dist)
weights = weights / torch.clamp(weights.sum(), min=EPS)
view_shape = (1,) * (depth_stack.ndim - 2) + (self.cfg.n_depths, 1)
return (depth_stack * weights.view(view_shape)).sum(dim=-2)
def inspect_all_lenses(
self,
carrier: CompoundCarrierState,
*,
focus_query: float = 0.0,
) -> Dict[str, Any]:
"""Parallel non-mutating readout of all optical receiver lenses + SHA proof."""
hash_before = carrier.sha256()
if carrier.surface_field is None:
raise ValueError("Carrier has no surface_field; run at least 1 step first.")
sf = carrier.surface_field
h_last = sf["h_norm"]
depth_s = sf["depth_s"]
z2_mom = sf["z2_momentum"]
holo_re = sf["holo_re"]
holo_im = sf["holo_im"]
cav_read = sf["cavity_read"]
shadow_xy = h_last[:, : self.half_d].detach().clone()
shadow_xz = h_last[:, self.half_d : self.usable_d].detach().clone()
focus_slices = {
f"focus.plane_{i}": depth_s[:, i, :].detach().clone()
for i in range(self.cfg.n_depths)
}
focus_queried = self.render_focus_plane(depth_s, focus_depth=focus_query).detach().clone()
fourier_windows = {
f"fourier.window_{w}": torch.sqrt(
holo_re[:, w, :] ** 2 + holo_im[:, w, :] ** 2 + EPS
).detach().clone()
for w in range(self.cfg.n_apertures)
}
cavity_heads = {
f"cavity.head_{h_idx}": cav_read[:, h_idx, :].detach().clone()
for h_idx in range(self.cfg.n_cavity_heads)
}
pol_flat = z2_mom.reshape(h_last.shape[0], -1)
transmission = torch.sigmoid(
self.W_transmission(torch.cat([h_last, pol_flat], dim=-1))
).detach().clone()
hash_after = carrier.sha256()
return {
"carrier_hash_before": hash_before,
"carrier_hash_after": hash_after,
"carrier_immutable": hash_before == hash_after,
"shadow.xy_syntax": shadow_xy,
"shadow.xz_relation": shadow_xz,
"focus.queried": focus_queried,
**focus_slices,
"polarization.z2_momentum": z2_mom.detach().clone(),
**fourier_windows,
**cavity_heads,
"surface.transmission_gate": transmission,
}
def forward(
self,
h_seq: torch.Tensor,
seq_depth_s: torch.Tensor,
seq_z2_momentum: torch.Tensor,
seq_holo_re: torch.Tensor,
seq_cavity_read: torch.Tensor,
*,
focus_depth: float = 0.0,
) -> Tuple[torch.Tensor, torch.Tensor, torch.Tensor]:
"""Factorized additive optical lens synthesis into vocabulary logits."""
B, T, _ = h_seq.shape
h_norm = self.norm_final(h_seq)
xy = h_norm[:, :, : self.half_d]
xz = h_norm[:, :, self.half_d : self.usable_d]
focused = self.render_focus_plane(seq_depth_s, focus_depth=focus_depth)
pol_flat = seq_z2_momentum.reshape(B, T, -1)
holo_flat = seq_holo_re.reshape(B, T, -1)
cav_flat = seq_cavity_read.reshape(B, T, -1)
logits = (
self.W_shadow_xy(xy)
+ self.W_shadow_xz(xz)
+ self.W_focus_vocab(focused)
+ self.W_pol_vocab(pol_flat)
+ self.W_fourier_vocab(holo_flat)
+ self.W_cavity_vocab(cav_flat)
)
transmission = torch.sigmoid(
self.W_transmission(torch.cat([h_norm, pol_flat], dim=-1))
)
return logits, transmission, h_norm
class OrthogonalAttributeProbe(nn.Module):
"""Dedicated disjoint-channel Hypercodec Lenses for compositional binding (P91b proof)."""
def __init__(self, cfg: CarrierConfig, n_dirs: int, n_mags: int) -> None:
super().__init__()
pol_dim = cfg.n_polarities * cfg.d_polarity
ap_dim = cfg.d_aperture
self.dir_lens = nn.Linear(pol_dim, n_dirs)
self.mag_lens = nn.Linear(ap_dim, n_mags)
def forward(self, carrier: CompoundCarrierState) -> Tuple[torch.Tensor, torch.Tensor]:
if not carrier.layers:
raise ValueError("Carrier layers missing")
primary = carrier.layers[0]
pol = torch.tanh(primary.polarity_rho).reshape(primary.polarity_rho.shape[0], -1)
ap0 = primary.holo_re[:, 0, :]
return self.dir_lens(pol), self.mag_lens(ap0)
class O1HypercodecModel(nn.Module):
"""Complete Native NoPE O1-GSSM + Kerr-Cavity + Optical Hypercodec Model."""
def __init__(self, cfg: Optional[CarrierConfig] = None) -> None:
super().__init__()
self.cfg = cfg or CarrierConfig()
self.embed = nn.Embedding(self.cfg.vocab_size, self.cfg.d_model)
nn.init.normal_(self.embed.weight, mean=0.0, std=0.04)
self._invariant_grad_hook_registered = False
self.layers = nn.ModuleList(
[HypercodecLayer(self.cfg) for _ in range(self.cfg.n_layers)]
)
self.receivers = OrthogonalReceiverBank(self.cfg)
def lock_invariant_embedding_slice(self) -> None:
"""Freeze gradient drift on the protected mathematical invariant coordinates `[:, -16:]`."""
inv_d = self.cfg.invariant_dim if self.cfg.d_model >= 64 else 0
if inv_d <= 0 or self._invariant_grad_hook_registered:
return
def _mask_inv_grad(grad: torch.Tensor) -> torch.Tensor:
if grad is None:
return grad
masked = grad.clone()
masked[:, -inv_d:] = 0.0
return masked
self.embed.weight.register_hook(_mask_inv_grad)
self._invariant_grad_hook_registered = True
def init_carrier(
self,
batch_size: int = 1,
device: Optional[torch.device] = None,
dtype: torch.dtype = torch.float32,
) -> CompoundCarrierState:
dev = device or self.embed.weight.device
return CompoundCarrierState(
layers=[layer.init_state(batch_size, dev, dtype) for layer in self.layers],
surface_field=None,
step_count=0,
)
def parameter_count(self) -> int:
return sum(p.numel() for p in self.parameters())
def forward(
self,
input_ids: torch.Tensor,
carrier_in: Optional[CompoundCarrierState] = None,
*,
focus_depth: float = 0.0,
scan_mode: str = "auto",
) -> Dict[str, Any]:
B, T = input_ids.shape
if carrier_in is None:
carrier_in = self.init_carrier(B, input_ids.device, self.embed.weight.dtype)
h = self.embed(input_ids)
next_layers: List[LayerCarrierState] = []
last_slice: Dict[str, torch.Tensor] = {}
for layer, l_state in zip(self.layers, carrier_in.layers):
h, l_next, c_slice = layer(h, l_state, scan_mode=scan_mode)
next_layers.append(l_next)
last_slice = c_slice
logits, transmission, h_norm = self.receivers(
h,
last_slice["seq_depth_s"],
last_slice["seq_z2_momentum"],
last_slice["seq_holo_re"],
last_slice["seq_cavity_read"],
focus_depth=focus_depth,
)
surface = {
"h_norm": h_norm[:, -1],
"depth_s": last_slice["depth_s"],
"z2_physical": last_slice["z2_physical"],
"z2_momentum": last_slice["z2_momentum"],
"holo_re": last_slice["holo_re"],
"holo_im": last_slice["holo_im"],
"cavity_read": last_slice["cavity_read"],
"transmission": transmission[:, -1],
}
carrier_out = CompoundCarrierState(
layers=next_layers,
surface_field=surface,
step_count=carrier_in.step_count + T,
)
return {
"logits": logits,
"transmission": transmission,
"carrier": carrier_out,
}
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