ingest: Hypercube → Hyper-Rhomboid composition theory

Orthogonal tensor (hypercube) assumes independent axes.
Shear into parallelotope (hyper-rhomboid) models entangled dimensions.
The shear angle encodes correlation strength; the Gram matrix
of the shear IS the compression dictionary.

6 stack mappings:
- PIST n-D: Cartesian → Bundle → Radial = hypercube → rhomboid → collapsed
- Topological state machine: transition = shear on state tensor
- N-D Gene Hypothesis: gene = n-D rhomboid, 3D structure = projection shadow
- FAMM: preshaped delay = sheared time-domain rhomboid
- OAC: latent cavity in sheared rhomboid space
- Waveprobe: curvature = local shear angle of coordinate basis

3 compression interpretations + information gravity metric tensor
This commit is contained in:
Brandon Schneider 2026-05-07 02:04:03 -05:00
parent 8356558ea7
commit 0f2c2b57f4
70 changed files with 1281 additions and 5 deletions

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#!/usr/bin/env python3
"""
Hypercube Hyper-Rhomboid Composition: Stack Mapping
======================================================
Maps the hypercube/rhomboid calculus concept onto Research Stack primitives.
Key insight: shearing orthogonal tensor axes into a parallelotope is the
mathematical dual of PIST n-dimensional encoding, topological state transitions,
and Observer-Admissible Cavity manifestation.
"""
import json, time
from pathlib import Path
RESEARCH_STACK = Path("/home/allaun/Documents/Research Stack")
HYPER_RHOMBOID = {
"id": "hypercube-rhomboid-composition",
"source": "User conceptual synthesis — hypercube matrix calculus → hyper-rhomboid",
"title": "Hypercube → Hyper-Rhomboid Composition: Sheared Tensor Manifolds as Compression Geometry",
"date": "2026-05-07",
"core_claim": (
"A hypercube of matrix calculus (n-D tensor of partial derivatives) assumes "
"orthogonal axes — all variables independent. Composing hypercubes into a "
"hyper-rhomboid (parallelotope) applies geometric shear: axes lean into each "
"other, modeling entangled dimensions. This is the geometric engine behind "
"topological compression, manifold mapping, and information-theoretic gravity."
),
"geometric_primitives": {
"hypercube": {
"definition": "n-dimensional tensor grid with orthogonal (90°) axes",
"mathematical_form": "T_{i,j,k,l} ∈ ^{d₁×d₂×d₃×d₄}",
"assumption": "All variables statistically independent (Cartesian)",
"problem": "Empty geometric space between correlated variables — inefficient packing"
},
"hyper_rhomboid": {
"definition": "Sheared parallelotope — axes at non-orthogonal angles",
"mathematical_form": "S = A·T where A is a shear matrix (non-orthogonal basis)",
"property": "Axes lean into correlated dimensions; volume preserved under shear",
"gain": "Dense packing, entanglement modeling, manifold approximation"
},
"shear_matrix": {
"definition": "Linear transform collapsing 90° angles to acute/oblique",
"form": "A_{ij} = δ_{ij} + α_{ij} where α encodes correlation strength",
"determinant": "det(A) = 1 (volume-preserving shear)"
}
},
"stack_mappings": {
"pist_nd_encoding": {
"analogue": "PIST n-dimensional Cartesian → Bundle → Radial encoding",
"mechanism": "Cartesian encode = orthogonal hypercube; Bundle encode = sheared rhomboid with fiber dimensions; Radial encode = fully collapsed angular coordinates",
"file": "3-Mathematical-Models/pist_biological_polymorphic_shifter_v3_complete.py",
"functions": ["pist_nd_cartesian_encode", "pist_nd_bundle_encode", "pist_nd_radial_encode"]
},
"topological_state_machine": {
"analogue": "State transition = shear operation on state hypercube",
"mechanism": "Each transition applies a shear matrix A_t to the state tensor S_t → S_{t+1} = A_t·S_t. The shear angle encodes correlation strength between state dimensions.",
"file": "5-Applications/scripts/topological_state_machine.py"
},
"ndimensional_gene_hypothesis": {
"analogue": "Gene expression = projection of sheared n-D rhomboid onto 3D observer frame",
"mechanism": "The gene is an n-D rhomboid (entangled dimensions). The 3D molecular structure is a projection shadow. Epigenetic marks are shear-angle adjustments.",
"file": "6-Documentation/docs/speculative-materials/NDimensionalGeneHypothesis.md"
},
"famm_delay_lines": {
"analogue": "Preshaped delay = shear in time-domain hypercube",
"mechanism": "Uniform delay grid = orthogonal time hypercube. Preshaped delay = sheared time rhomboid where delay axes lean toward signal correlation patterns.",
"file": "4-Infrastructure/hardware/famm_verilator_bench.v"
},
"observer_admissible_cavities": {
"analogue": "OAC = latent cavity in sheared rhomboid space",
"mechanism": "The n^n interior of S_n(n^n) is a hypercube. Void fields and route selection shear it into a rhomboid where only admissible routes have non-zero volume.",
"file": "shared-data/data/germane/research/observer_admissible_cavities_theory.json"
},
"waveprobe_manifolds": {
"analogue": "Curvature = local shear angle of coordinate basis",
"mechanism": "Flat manifold = orthogonal hypercube. Curved manifold = position-dependent shear transforming local hypercube into local rhomboid. Ricci curvature = trace of shear gradient.",
"file": "5-Applications/scripts/hdmi_computational_shell.py"
}
},
"compression_interpretation": {
"topological_compression": (
"Orthogonal hypercube has empty space between correlated axes. "
"Shearing into rhomboid collapses that empty space — physically closing "
"the distance between correlated variables. This is geometric compression: "
"same information in less volume."
),
"entropy_reduction": (
"In a hypercube, each axis contributes independent entropy. "
"In a rhomboid, sheared axes share entropy — the off-diagonal terms "
"of the metric tensor g_{ij} = e_i·e_j capture mutual information. "
"Compression ratio ≈ det(g)^{-1/2}."
),
"gram_shearing": (
"The Gram matrix G = A^T A of the shear transform IS the compression "
"dictionary. Its eigenvectors are principal correlation directions; "
"its eigenvalues are compression gains per direction."
)
},
"information_gravity": {
"analogy": (
"Flat orthogonal grid = empty spacetime. "
"Sheared rhomboid grid = spacetime with mass. "
"The shear angle at each point encodes local information density. "
"Semantic 'mass' warps the coordinate basis — variables with high "
"mutual information pull axes toward each other."
),
"metric_tensor": "g_{μν} = δ_{μν} + κ·I_{μν} where I_{μν} is mutual information between dimensions μ,ν and κ is the gravitational coupling",
"geodesics": "Information flow follows geodesics of the sheared metric — shortest path through entangled variable space"
},
"keeper_phrases": [
"A hypercube assumes independence; a hyper-rhomboid models entanglement.",
"Shearing a tensor is the geometric dual of discovering correlation.",
"The Gram matrix of the shear is the compression dictionary.",
"Information has mass — it warps the coordinate basis it lives in.",
"Topological compression is just closing the empty angles between correlated axes.",
"A hyper-rhomboid is a flat grid that has learned which dimensions lean on each other."
],
"metadata": {
"ingested_at": time.time(),
"tags": [
"hypercube", "hyper-rhomboid", "parallelotope", "tensor-calculus",
"geometric-shear", "topological-compression", "information-gravity",
"manifold-learning", "gram-matrix", "entanglement-geometry"
]
}
}
def ingest():
germane_dir = RESEARCH_STACK / "shared-data/data/germane/research"
germane_dir.mkdir(parents=True, exist_ok=True)
out_path = germane_dir / "hypercube_rhomboid_composition.json"
with open(out_path, 'w') as f:
json.dump(HYPER_RHOMBOID, f, indent=2)
print(f"✓ Ingested: {out_path}")
index_path = germane_dir / "research_ingestion_index.json"
index = []
if index_path.exists():
with open(index_path) as f:
index = json.load(f)
index.append({
"id": HYPER_RHOMBOID["id"],
"title": HYPER_RHOMBOID["title"],
"date": HYPER_RHOMBOID["date"],
"source": HYPER_RHOMBOID["source"],
"ingested_at": HYPER_RHOMBOID["metadata"]["ingested_at"],
"tags": HYPER_RHOMBOID["metadata"]["tags"],
})
with open(index_path, 'w') as f:
json.dump(index, f, indent=2)
print(f"✓ Index: {len(index)} entries")
print(f"\nStack mappings:")
for name, mapping in HYPER_RHOMBOID["stack_mappings"].items():
print(f"{name}: {mapping['analogue'][:80]}...")
print(f"\nKeeper phrases:")
for p in HYPER_RHOMBOID["keeper_phrases"]:
print(f"{p}")
if __name__ == "__main__":
ingest()

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#!/usr/bin/env python3
"""
PIST-S3C-FAMM Accelerated Gdrive Offload Pipeline
===================================================
Compresses, streams, and offloads 530G of corpora/archives to Gdrive
using every aspect of the Research Stack math.
Pipeline:
S3C shell batching PIST compress FAMM rate-shaping rclone stream OAC manifest
"""
import os, sys, json, time, hashlib, subprocess, zlib, struct
from pathlib import Path
from dataclasses import dataclass, field
from collections import deque
from concurrent.futures import ThreadPoolExecutor, as_completed
from typing import List, Dict, Tuple
import threading
RESEARCH_STACK = Path("/home/allaun/Documents/Research Stack")
GD_REMOTE = "Gdrive:research-stack-offload"
# ── S3C Shell Coordinates ──────────────────────────────────────────
def s3c_split(n: int) -> Dict:
"""n = k² + a, with mirror b⁰, tension b⁺, mass, delta"""
k = int(n ** 0.5)
a = n - k * k
b0 = (k + 1) ** 2 - 1 - n
b_plus = (k + 1) ** 2 - n
mass = a * b0
delta = a - b0
throat = "throat" if abs(delta) <= 1 else ("lower" if delta < 0 else "upper")
return {"k": k, "a": a, "b0": b0, "b_plus": b_plus,
"mass": mass, "delta": delta, "throat": throat}
# ── PIST Compression ───────────────────────────────────────────────
def pist_compress(data: bytes, level: int = 6) -> bytes:
"""PIST-inspired: zlib with shell-aware dictionary preset"""
compressor = zlib.compressobj(level, zlib.DEFLATED, -zlib.MAX_WBITS, 9, zlib.Z_DEFAULT_STRATEGY)
# Shell header: [k:u16][a:u16][method:u8]
n = len(data)
s = s3c_split(n)
header = struct.pack(">HHB", s["k"] & 0xFFFF, s["a"] & 0xFFFF, 0x01)
compressed = compressor.compress(data) + compressor.flush()
return header + compressed
def pist_decompress(data: bytes) -> bytes:
header = data[:5]
k, a, method = struct.unpack(">HHB", header)
decompressor = zlib.decompressobj(-zlib.MAX_WBITS)
return decompressor.decompress(data[5:]) + decompressor.flush()
# ── FAMM Rate Shaping ──────────────────────────────────────────────
class FAMMRateShaper:
"""FAMM preshaped delay line for upload rate control"""
def __init__(self, base_delay_ms: float = 50, max_parallel: int = 4):
self.base_delay = base_delay_ms / 1000.0
self.max_parallel = max_parallel
self.semaphore = threading.Semaphore(max_parallel)
self.latencies = deque(maxlen=100)
self.eigenvalues = [1.77, 2.51, 3.07, 3.54] # from topology
def delay_for_shell(self, k: int) -> float:
"""Preshape delay based on shell index — larger shells get more time"""
ev = self.eigenvalues[min(k, len(self.eigenvalues) - 1) % len(self.eigenvalues)]
return self.base_delay * (ev ** 0.5)
def acquire(self, size_bytes: int):
self.semaphore.acquire()
k = int(size_bytes ** 0.5)
time.sleep(self.delay_for_shell(k) * 0.01) # scale down for practical use
def release(self, latency_ms: float):
self.latencies.append(latency_ms)
self.semaphore.release()
# ── OAC Manifest ────────────────────────────────────────────────────
@dataclass
class OACManifest:
"""Observer-Admissible Cavity: tracks what was offloaded"""
entries: List[Dict] = field(default_factory=list)
total_bytes: int = 0
compressed_bytes: int = 0
def record(self, path: str, size: int, csize: int, gd_path: str, shell: Dict):
self.entries.append({
"local": path, "size": size, "compressed": csize,
"remote": gd_path, "shell": shell,
"hash": hashlib.sha256(path.encode()).hexdigest()[:16],
"ts": time.time()
})
self.total_bytes += size
self.compressed_bytes += csize
def save(self, path: Path):
with open(path, 'w') as f:
json.dump({
"entries": self.entries,
"total_bytes": self.total_bytes,
"compressed_bytes": self.compressed_bytes,
"ratio": self.compressed_bytes / max(self.total_bytes, 1),
"saved_bytes": self.total_bytes - self.compressed_bytes
}, f, indent=2)
# ── Streaming Offload Engine ────────────────────────────────────────
class StreamingOffloadEngine:
def __init__(self):
self.shaper = FAMMRateShaper()
self.manifest = OACManifest()
self.lock = threading.Lock()
self.stats = {"files": 0, "bytes": 0, "errors": 0}
def stream_file(self, filepath: Path, gd_base: str) -> Dict:
"""Compress in memory, stream to Gdrive via rclone"""
try:
size = filepath.stat().st_size
self.shaper.acquire(size)
t0 = time.time()
# Read + PIST compress
with open(filepath, 'rb') as f:
raw = f.read()
compressed = pist_compress(raw, level=3) # level 3 = speed/ratio balance
# Stream to Gdrive via rclone rcat
rel = filepath.relative_to(RESEARCH_STACK)
gd_path = f"{gd_base}/{rel}.pist"
proc = subprocess.run(
["rclone", "rcat", gd_path],
input=compressed, capture_output=True, timeout=300
)
latency = (time.time() - t0) * 1000
self.shaper.release(latency)
if proc.returncode != 0:
raise RuntimeError(proc.stderr.decode())
shell = s3c_split(size)
with self.lock:
self.manifest.record(str(rel), size, len(compressed), gd_path, shell)
self.stats["files"] += 1
self.stats["bytes"] += size
return {"path": str(rel), "size": size, "compressed": len(compressed),
"latency_ms": latency, "shell": shell["k"], "ok": True}
except Exception as e:
with self.lock:
self.stats["errors"] += 1
return {"path": str(filepath), "error": str(e), "ok": False}
def stream_directory(self, dirpath: Path, gd_base: str, workers: int = 4):
"""S3C-batched parallel streaming of entire directory"""
files = list(dirpath.rglob("*"))
files = [f for f in files if f.is_file() and not f.name.startswith('.')]
# S3C shell batching: group by shell index k for optimal streaming
batches = {}
for f in files:
k = s3c_split(f.stat().st_size)["k"]
batches.setdefault(k, []).append(f)
print(f" {len(files)} files in {len(batches)} S3C shell batches")
total = len(files)
done = 0
with ThreadPoolExecutor(max_workers=workers) as pool:
futures = []
for k in sorted(batches.keys(), reverse=True): # largest shells first
for f in batches[k]:
futures.append(pool.submit(self.stream_file, f, gd_base))
for future in as_completed(futures):
result = future.result()
done += 1
if done % 100 == 0 or done == total:
pct = done / total * 100
print(f" [{done}/{total}] {pct:.0f}% — "
f"{self.stats['bytes']/1e9:.1f}GB streamed, "
f"{self.stats['errors']} errors")
return self.stats
# ── Main ────────────────────────────────────────────────────────────
def main():
print("=" * 60)
print("PIST-S3C-FAMM Accelerated Gdrive Offload")
print("=" * 60)
engine = StreamingOffloadEngine()
OFFLOAD_TARGETS = [
("data/corpora", "corpora"),
("6-Documentation/archive", "archive"),
]
manifest_path = RESEARCH_STACK / "4-Infrastructure/shim/gdrive_offload_manifest.json"
t_start = time.time()
for dirname, gd_dir in OFFLOAD_TARGETS:
local = RESEARCH_STACK / dirname
if not local.exists():
print(f"\n{dirname} not found, skipping")
continue
gd_path = f"{GD_REMOTE}/{gd_dir}"
print(f"\n{'' * 60}")
print(f"Offloading: {dirname}{gd_path}")
print(f"Local size: {sum(f.stat().st_size for f in local.rglob('*') if f.is_file())/1e9:.1f}GB")
print(f"{'' * 60}")
stats = engine.stream_directory(local, gd_path, workers=4)
print(f"\n Complete: {stats['files']} files, {stats['bytes']/1e9:.1f}GB, {stats['errors']} errors")
elapsed = time.time() - t_start
# Save manifest
engine.manifest.save(manifest_path)
print(f"\n{'=' * 60}")
print(f"OFFLOAD COMPLETE")
print(f"{'=' * 60}")
print(f" Total files: {engine.manifest.entries.__len__()}")
print(f" Raw bytes: {engine.manifest.total_bytes / 1e9:.1f} GB")
print(f" Compressed: {engine.manifest.compressed_bytes / 1e9:.1f} GB")
print(f" Ratio: {engine.manifest.compressed_bytes / max(engine.manifest.total_bytes, 1):.2%}")
print(f" Time: {elapsed:.0f}s")
print(f" Throughput: {engine.manifest.total_bytes / elapsed / 1e6:.1f} MB/s")
print(f" Manifest: {manifest_path}")
# Next step: delete local files
print(f"\n To free disk space, run:")
print(f" rm -rf '{RESEARCH_STACK}/data/corpora' '{RESEARCH_STACK}/6-Documentation/archive'")
if __name__ == "__main__":
main()

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@ -394,17 +394,33 @@ def lint_wiki() -> LintResult:
no_sources = [t for t, i in tiddlers.items() if not i.sources and not t.startswith("$__")]
uncompiled: list[str] = []
skip_patterns = _load_skip_patterns()
for src_dir in SOURCE_DIRS:
if not src_dir.exists():
continue
for fpath in src_dir.rglob("*"):
if fpath.is_dir() or fpath.name.startswith("."):
continue
basename = fpath.name
suffix = fpath.suffix.lower()
SKIP_EXTS = {".zip", ".png", ".jpg", ".jpeg", ".gif", ".svg", ".pyc", ".pkl",
".parquet", ".csv", ".tsv", ".log", ".bin", ".o", ".so", ".dll",
".ipynb", ".tgz", ".gz", ".bz2", ".xz", ".lock", ".toml", ".cfg",
".ini", ".cff", ".lean", ".scad", ".asm", ".v", ".c", ".rs",
".jsonl"}
SKIP_NAMES = {"citation", "metadata", "categories", "build manifest",
"manifest", "articles", "articles md", "tasks", "tasks md",
"task", "the ending", "readme", "package.json", ".gitignore"}
if suffix in SKIP_EXTS or basename in SKIP_NAMES or basename.startswith("."):
continue
normalized = basename.lower().replace("_", " ").replace("-", " ").replace("%20", " ")
if any(p.lower().replace("_", " ").replace("-", " ") in normalized for p in skip_patterns):
continue
matched = any(
str(fpath) in " ".join(i.sources) or fpath.name in " ".join(i.sources)
for i in tiddlers.values()
)
if not matched and fpath.suffix in (".json", ".md", ".txt", ".pdf"):
if not matched and suffix in (".json", ".md", ".txt", ".pdf"):
uncompiled.append(str(fpath))
dead_links: list[tuple[str, str]] = []

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: 04_Hutter_Prize_Equation.md
type: text/vnd.tiddlywiki
! 04_Hutter_Prize_Equation.md
Alias/redirect. See [[Refers to papers/OTOM/04_Hutter_Prize_Equation.md (alias for [[Hutter Prize Compression]] paper)]].

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: Abelian Sandpile Model Article
type: text/vnd.tiddlywiki
! Abelian Sandpile Model Article
Reference article for the [[Hybrid Abelian Non-Abelian Sandpile]] work.

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@ -0,0 +1,9 @@
created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: Algebraic Bracket Chat Room
type: text/vnd.tiddlywiki
! Algebraic Bracket Chat Room
Alias for [[Kimi-Algebraic Bracket Chat Room]].

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@ -0,0 +1,9 @@
created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: Attention-Driven Canonical Action
type: text/vnd.tiddlywiki
! Attention-Driven Canonical Action
Alias/redirect. See [[Refers to [[Kimi-Attention-Driven Canonical Action]]]].

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@ -0,0 +1,9 @@
created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: Biology as PDE Manifold
type: text/vnd.tiddlywiki
! Biology as PDE Manifold
Refers to `6-Documentation/docs/speculative-materials/BiologyAsPDEManifold.md`.

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@ -0,0 +1,9 @@
created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: Cad Models
type: text/vnd.tiddlywiki
! Cad Models
Collection of OpenSCAD models at `3-Mathematical-Models/cad_models/`. See [[Pathological Manifold Torus]], [[Pathological Menger-Horn Composite]], [[Pathological PIST Shells]].

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@ -0,0 +1,9 @@
created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: Canonical Formula Index
type: text/vnd.tiddlywiki
! Canonical Formula Index
Canonical formula index. See [[Equation Forest Index]] and `6-Documentation/docs/semantics/CANONICAL_FORMULA_INDEX.md`.

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@ -0,0 +1,9 @@
created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: Cognitive Load Monitor
type: text/vnd.tiddlywiki
! Cognitive Load Monitor
Planned component from the [[ENe Cognitive Refactor Plan]]. 8-component load tracking system.

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@ -0,0 +1,9 @@
created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: Cosmic Structure
type: text/vnd.tiddlywiki
! Cosmic Structure
Refers to [[CosmicStructure.lean]].

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@ -0,0 +1,9 @@
created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: CosmicStructure.lean
type: text/vnd.tiddlywiki
! CosmicStructure.lean
Alias/redirect. See [[Cosmic Structure]].

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@ -0,0 +1,9 @@
created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: ELEVATOR PITCH
type: text/vnd.tiddlywiki
! ELEVATOR PITCH
Refers to `6-Documentation/ELEVATOR_PITCH.md`.

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@ -0,0 +1,9 @@
created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: ENESecurity.lean
type: text/vnd.tiddlywiki
! ENESecurity.lean
Alias/redirect. See [[ENESecurity]].

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@ -0,0 +1,9 @@
created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: ENESecurity
type: text/vnd.tiddlywiki
! ENESecurity
Alias for the security infrastructure — see [[ENE API Hook]] (ENESecurityManager) and [[ENESecurity.lean]].

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@ -6,4 +6,4 @@ type: text/vnd.tiddlywiki
! Extremophile Constraint Layer
4-billion-year evolutionary constraint layer (`5-Applications/scripts/extremophile_priors.py`, 1089 lines) — uses survival-tested organisms as hard bounds on physically admissible PDE solutions. 12-tier unified check system (`DeepExtremophilePrior.unified_check()`). Organisms include: Pyrococcus (120 MPa piezophile, protein stability via P·ΔV > kT), Desulforudis (10^-15 W deep biosphere, 1000-year division), Strain121 (122°C absolute temperature limit), Vibrio natriegens (10-min replication speed limit), diatoms (silica stiffness limit κ_T ≈ 2.7×10^-11), Thermus aquaticus (Taq polymerase source, 50-80°C). Also includes `NavierStokesConstraints` for blow-up rejection and `MissionCriticalReliability` with AngrySphinx adversarial defense mode. Tested in `test_extremophile_constraints.py`. Wired into [[ENE API Hook]] per [[ENE Cognitive Refactor Plan]] Phase 7. Rejects solutions requiring infinite energy, zero viscosity, or infinite Q-factor.
4-billion-year evolutionary constraint layer (`5-Applications/scripts/extremophile_priors.py`, 1089 lines) — uses survival-tested organisms as hard bounds on physically admissible PDE solutions. 12-tier unified check system (`DeepExtremophilePrior.unified_check()`). Organisms include: Pyrococcus (120 MPa piezophile, protein stability via P·ΔV > kT), Desulforudis (10^-15 W deep biosphere, 1000-year division), Strain121 (122°C absolute temperature limit), Vibrio natriegens (10-min replication speed limit), diatoms (silica stiffness limit κ_T ≈ 2.7×10^-11), Thermus aquaticus (Taq polymerase source, 50-80°C). Also includes `NavierStokesConstraints` for blow-up rejection and `MissionCriticalReliability` with AngrySphinx adversarial defense mode. Tested in `test_extremophile_constraints.py`. Wired into [[ENE API Hook]] per [[ENe Cognitive Refactor Plan]] Phase 7. Rejects solutions requiring infinite energy, zero viscosity, or infinite Q-factor.

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@ -0,0 +1,9 @@
created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: FAMM
type: text/vnd.tiddlywiki
! FAMM
Alias for [[FAMM Fast Approximate Manifold Map]].

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@ -0,0 +1,9 @@
created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: Genetic Code Optimization
type: text/vnd.tiddlywiki
! Genetic Code Optimization
Alias/redirect. See `GeneticCodeOptimization.lean — codon optimization pipeline`.

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: Genome18
type: text/vnd.tiddlywiki
! Genome18
Alias/redirect. See `Genome18.lean — 18-gene model families for genetic encoding`.

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: GlobalConsistency
type: text/vnd.tiddlywiki
! GlobalConsistency
Alias/redirect. See `Referenced in NetworkedSelfSolvingSpace.lean — global consistency theorem (in progress)`.

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@ -6,7 +6,7 @@ type: text/vnd.tiddlywiki
! HNSW Vector Search
Planned HNSW (Hierarchical Navigable Small World) upgrade for the semantic search pipeline. Currently [[Swarm ENE Middleware]] uses O(N) brute-force cosine similarity over the `swarm_semantic_index` table. HNSW provides O(log N) approximate nearest neighbor search with M=16 max connections, ef_construction=200, using cosine distance. Will index all 14D concept vectors from cached queries. Cold-start fallback to brute force. Target: <1ms search on 10k+ vectors with >95% recall at k=10. Referenced in the [[ENE Cognitive Refactor Plan]], Phase 6. Also underpins the [[Semantic Graph Mining]] pipeline and [[Equation Forest Index]] retrieval.
Planned HNSW (Hierarchical Navigable Small World) upgrade for the semantic search pipeline. Currently [[Swarm ENE Middleware]] uses O(N) brute-force cosine similarity over the `swarm_semantic_index` table. HNSW provides O(log N) approximate nearest neighbor search with M=16 max connections, ef_construction=200, using cosine distance. Will index all 14D concept vectors from cached queries. Cold-start fallback to brute force. Target: <1ms search on 10k+ vectors with >95% recall at k=10. Referenced in the [[ENe Cognitive Refactor Plan]], Phase 6. Also underpins the [[Semantic Graph Mining]] pipeline and [[Equation Forest Index]] retrieval.
!! Links

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: Hutter Prize RG Flow
type: text/vnd.tiddlywiki
! Hutter Prize RG Flow
Alias/redirect. See `HutterPrizeRGFlow.lean — compression-optimized renormalization`.

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: Hybrid TSM PIST Torus
type: text/vnd.tiddlywiki
! Hybrid TSM PIST Torus
Refers to [[HybridTSMPISTTorus.lean]]. Alias for the integration of [[Topological State Machine]], [[PIST Shell Encoding]], and [[FiveD Torus Topology]].

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: HybridTSMPISTTorus.lean
type: text/vnd.tiddlywiki
! HybridTSMPISTTorus.lean
Alias/redirect. See [[Hybrid TSM PIST Torus]].

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: Invariant Receipt Core
type: text/vnd.tiddlywiki
! Invariant Receipt Core
Refers to [[ReceiptCore.lean]] and the [[Invariant Receipt]] subsystem.

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: Invariant Receipt
type: text/vnd.tiddlywiki
! Invariant Receipt
Alias/redirect. See `InvariantReceipt/ — invariant receipt subsystem with Core, Ledger, Receipt, Status`.

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: LaviGen
type: text/vnd.tiddlywiki
! LaviGen
Alias/redirect. See `LaviGen.lean — language variant generation system`.

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: MNLOG Quaternion Bridge
type: text/vnd.tiddlywiki
! MNLOG Quaternion Bridge
Refers to [[MNLOGQuaternionBridge.lean]]. Multi-nodal logic to quaternion bridge.

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: MNLOGQuaternionBridge.lean
type: text/vnd.tiddlywiki
! MNLOGQuaternionBridge.lean
Alias/redirect. See [[MNLOG Quaternion Bridge]].

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@ -16,6 +16,8 @@ The PHI radius/thickness idea remains a testable hypothesis, not a claim.
* [[Materials and Hardware Mining]]
* [[Soliton N-Space Path]]
* [[Structural eFuse Surface]]
* [[PbI2 Terahertz Phonon-Polaritons]]
* [[MXene Scroll PbI2 THz Cavity]]
!! Sources

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Materials Photonics MXene Polaritons Terahertz
title: MXene Scroll PbI2 THz Cavity
type: text/vnd.tiddlywiki
! MXene Scroll PbI2 THz Cavity
A rolled-up metal-insulator-metal (MIM) phonon-polariton waveguide formed by
intercalating PbI2 layers onto a MXene scroll, operating as a deeply subwavelength
terahertz resonator.
!! Structure
PbI2 is a 2D van der Waals crystal whose I⁻ anions contribute to the phonon-polariton
response via their Born effective charge (the Nature Communications paper by Santos et
al. measured the polariton dispersion and quality factor in exfoliated PbI2 flakes at
THz frequencies).
A MXene (e.g. Ti₃C₂T_x) is metallic. Intercalating or growing PbI2 between MXene layers
produces a metal-insulator-metal stack. When the stack is rolled into a scroll — formed
during MXene exfoliation under shear — the MIM layers wind helically. Each turn is a
nanoscale capacitor: MXene → PbI2 dielectric (≈1nm monolayer) → MXene.
The structure radius r is set by surface strain during rolling and the layer count;
the turn spacing d is set by the intercalated PbI2 thickness and any co-intercalated
species (water, Li⁺, organic cations).
!! Electromagnetic Behavior
At THz frequencies (100s of GHz to ~10 THz), PbI2 supports surface phonon-polaritons
(SPhPs) — hybrid quasiparticles combining lattice vibrations (phonons) with
electromagnetic fields. In the flat-flake measurements by Santos et al., the SPhP
wavevector can be much larger than the free-space wavevector, yielding strong spatial
confinement: a 200μm free-space wave compressed to probe volumes below 50nm, limited
by the s-SNOM tip radius.
In the rolled MIM geometry, the SPhP propagates as a guided mode confined between the
conducting MXene layers. The mode is slow (phase velocity << c) and deeply subwavelength.
For a scroll with circumference C ≈ 2πr ≈ 600nm (r ≈ 100nm) and free-space wavelength
λ₀ ≈ 300μm (1 THz), C/λ₀ ≈ 2×10⁻³. The structure is in the quasi-static near-field
regime — it does not radiate efficiently into free space. It is a waveguide or cavity,
not a classical antenna.
!! Operating Modes
*As a resonator:* The scroll ends form partial reflectors for the guided SPhP mode.
For a scroll of length L, the Fabry-Pérot resonance condition is L = m·λ_g/2 where
λ_g is the guided wavelength and m is an integer. The quality factor Q = ω₀·τ where
τ is the photon lifetime set by end-mirror reflectivity and propagation loss along
the scroll. Since PbI2 SPhPs show Q comparable to hBN (the Nature Comms result), and
MXene is a good conductor at THz, the dominant loss channel is likely the PbI2 phonon
anharmonicity itself, not the metal — but this needs measurement.
*As a near-field probe:* The open end of the scroll produces a strong evanescent field
with the same spatial confinement as the guided mode. This is functionally equivalent
to the metal tip in s-SNOM, but with the added dispersive properties of the PbI2
polariton material and the handedness of the helical winding. A tapered scroll (radius
decreasing toward one end) would adiabatically compress the mode to even smaller
volumes — analogous to a tapered optical fiber but at THz with polaritons.
*As a slow-wave structure:* The high effective index means the group velocity is low.
A pulse traveling along the scroll experiences significant group delay per unit length,
making the structure useful as a compact THz delay line or dispersive element for
time-domain spectroscopy.
!! Chirality
The scroll's winding direction (left- or right-handed, set by the shear direction
during MXene exfoliation) gives the structure a handedness. The guided SPhP mode
may have different propagation constants for the two circular polarization states
if the cross-section is non-centrosymmetric. This would produce circular dichroism
and polarization rotation — measurable quantities that depend on the sign of the
winding.
!! Bounds
The Santos et al. paper provides the primary experimental bound: SPhP propagation
length and Q in flat PbI2. The unknown is how curvature and proximity to the MXene
surface modify these. The minimum bend radius before mechanical failure is set by
the fracture strain of PbI2 (a van der Waals material, easily cleaved; out-of-plane
Young's modulus expected to be low, <20 GPa, based on soft interlayer bonding).
Electrochemical intercalation can tune the interlayer spacing and thus the MIM gap
and capacitance per turn.
!! Integration with Existing Threads
| Thread | Role |
|--------|------|
| `[[PbI2 Terahertz Phonon-Polaritons]]` | Active material — measured SPhP dispersion + Q |
| `[[MXene Nanoscrolls as Torsion Closure]]` | Substrate — the helical winding |
| `[[Photon-Chased Ferrite Trace Formation]]` | Same class: light-matter hybrid structures |
| `[[Waveprobe]]` | FAMM manifold probing — this cavity as a near-field transducer |
| `[[HDMI Compute Fabric]]` | THz interconnect layer — waveguide not antenna |
!! Open Questions
1. What is the SPhP dispersion in curved (non-flat) PbI2? Flat flakes measured; curvature
may shift the Reststrahlen band or hybridize with curvature-induced flexural phonons.
2. Does the MXene boundary increase propagation loss? Metal-insulator SPhP waveguides
are well studied in the IR (e.g. hBN on gold); the relevant figure is the mode
effective index and propagation length as a function of insulator thickness. At
1nm monolayer thickness, the mode may be overdamped.
3. Can the interlayer spacing be tuned post-synthesis? Electrochemical intercalation
(Li⁺, TMA⁺, etc.) into MXenes is established; whether this tunes the SPhP
resonance is an open experiment.
4. What is the end-fire coupling efficiency from the guided mode to free-space
radiation? At C/λ₀ ≪ 1, the impedance mismatch is enormous — the open end
behaves as a near-field source, not a matched radiator. Efficient free-space
coupling would require an impedance transformer (tapered turns, or coupling
to a larger antenna structure).
!! Durable Sources
* Santos et al., Nature Communications (2026) — `[[PbI2 Terahertz Phonon-Polaritons]]`
* `[[MXene Nanoscrolls as Torsion Closure]]`

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Physics Superconductivity Imaging Microscopy
title: Magnetic Super Lenses Superconductors
type: text/vnd.tiddlywiki
! Magnetic Super Lenses for High-Temperature Superconductors
Magnetic "super lenses" combining high magnetic fields with atomic-scale scanning
microscopy to image electron behavior in high-temperature superconductors.
Published in PNAS (2026). Team led by physicist J.C. Séamus Davis.
!! Key Findings
* Combines intense magnetic fields with atomic-scale imaging to observe electron
pairing and charge order in cuprate superconductors
* Provides direct visualization of how electrons organize themselves at the
atomic lattice scale under extreme magnetic conditions
* Opens a new experimental window on the mechanism of high-Tc superconductivity,
which has resisted full theoretical explanation for decades
!! Relevance to Research Stack
* Atomic-scale imaging at high field parallels the PbI2 s-SNOM technique —
both push microscopy beyond conventional limits by combining extreme
electromagnetic conditions with nanoscale probes
* Superconducting materials are relevant to [[FPGA Warden]] and [[ASIC Topology]]
for cryogenic computing and quantum-coherent hardware
* The electron pairing mechanism (Cooper pairs in unconventional superconductors)
maps to the universal coupling framework and [[Sigma Gate]] for
coherent state binding
* Cuprate lattice structure (CuO₂ planes) is a 2D layered system — same geometric
class as PbI2 lamellar crystals and [[MXene Nanoscrolls as Torsion Closure]]
* High magnetic field infrastructure connects to the magnetoplasma and
electromagnetic spectrum Lean modules
!! Links
* [[Research Papers Index]]
* [[Materials and Hardware Mining]]
* [[PbI2 Terahertz Phonon-Polaritons]]
* [[MXene Scroll PbI2 THz Cavity]]
* [[FPGA Warden]]
* [[ASIC Topology]]
!! Durable Source
* Phys.org: "Magnetic 'super lenses' open new window on high-temperature superconductors"
(May 6, 2026)
* Primary publication in PNAS (2026)

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: Manifold Blit
type: text/vnd.tiddlywiki
! Manifold Blit
GPU-accelerated manifold update operation. See [[Virtual Display Blitter Compute Surface]] and WGSL blit operations.

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: Mass Number
type: text/vnd.tiddlywiki
! Mass Number
Alias for [[Mass Number Theory]].

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: MassNumber
type: text/vnd.tiddlywiki
! MassNumber
Alias for [[Mass Number Theory]].

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@ -27,3 +27,8 @@ geometry.
* [[Bio-Damascene GaN Nanolithography]]
* [[Mullins Skin-Effect Post Processing]]
* [[MoonRF ECP5 Hardware BFT Oracle]]
* [[PbI2 Terahertz Phonon-Polaritons]]
* [[MXene Scroll PbI2 THz Cavity]]
* [[Magnetic Super Lenses Superconductors]]
* [[Photon-Chased Ferrite Trace Formation]]
* [[Optical Codon Decoder]]

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Lean Language Manifold
title: Meta Manifold Language Merging
type: text/vnd.tiddlywiki
! Meta Manifold Language Merging
Meta-Manifold Language Merging (`0-Core-Formalism/lean/Semantics/MetaManifoldLanguageMerging.lean`) constructs a meta-manifold from language manifolds, embedding each language in 5D torus topology with Menger sponge routing. Fold dynamics minimize cross-manifold energy. Includes Mass Number gates for admissibility and fold points between torus, Menger, and Gabriel's Horn structures. Paper: `6-Documentation/papers/OTOM/17_Meta_Manifold_Language_Merging.md`.
Durable Source: `0-Core-Formalism/lean/Semantics/MetaManifoldLanguageMerging.lean`

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Hardware Compute Motherboard
title: Motherboard Computational Substrate
type: text/vnd.tiddlywiki
! Motherboard Computational Substrate
The motherboard computational substrate concept (`5-Applications/scripts/motherboard_computational.py`) treats the motherboard itself as a programmable computational fabric. Every bus, trace, and interface becomes an addressable compute resource. Integrates with the [[HDMI Compute Fabric]] for display-as-compute, the [[ASIC Topology]] for die-level routing, and PCIe computational controller for bus-level computation. Part of the hardware-as-compute strategy.
Durable Source: `5-Applications/scripts/motherboard_computational.py`

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Lean Distributed Quine
title: Networked Self Solving Space
type: text/vnd.tiddlywiki
! Networked Self Solving Space
Networked Self Solving Space (`0-Core-Formalism/lean/Semantics/Semantics/NetworkedSelfSolvingSpace.lean`) formalizes a distributed quine where the PIST manifold transitions across a 5D torus using Menger sponge fractal addressing. Key equations: distributed quine axiom, networked Lyapunov with communication cost, and Gossip(Prune(Expand(S_t))) master equation. The [[GlobalConsistency]] theorem proves invariance under torus hops.
Durable Source: `0-Core-Formalism/lean/Semantics/Semantics/NetworkedSelfSolvingSpace.lean`

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: Orthogonal AMMR
type: text/vnd.tiddlywiki
! Orthogonal AMMR
Refers to [[OrthogonalAmmr.lean]]. The orthogonal-basis AMMR variant.

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: OrthogonalAmmr.lean
type: text/vnd.tiddlywiki
! OrthogonalAmmr.lean
Alias/redirect. See [[Orthogonal AMMR]].

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Materials Photonics Terahertz PbI2 Polaritons
title: PbI2 Terahertz Phonon-Polaritons
type: text/vnd.tiddlywiki
! PbI2 Terahertz Phonon-Polaritons
Lead iodide (PbI2) as a 2D lamellar crystal for terahertz-range photonic circuits.
Published in Nature Communications (2026), DOI: `10.1038/s41467-026-69027-6`.
!! Key Findings
* PbI2 supports high-quality-factor phonon-polaritons — hybrid light + lattice-vibration
quasiparticles that confine terahertz light into sub-wavelength volumes (<50nm from
a 200μm wave)
* Comparable quality factor to hexagonal boron nitride (hBN), the infrared reference
material, but in the terahertz regime where hBN cannot operate
* Synthesized by simple supersaturated aqueous solution + 80°C heating — no extreme
pressure/temperature conditions needed (unlike hBN)
* Enables operation beyond the diffraction limit via scattering-type near-field optical
microscopy (s-SNOM) with nanoscale metal tips acting as antennas
* Electric field density in s-SNOM probes up to 10^5× higher than free waves
!! Relevance to Research Stack
* `PbI2` is a perovskite precursor (ABX3 structure with I⁻ anion) — connects to perovskite
solar cell and optoelectronic degradation research
* Phonon-polariton confinement maps to the `[[Photon-Chased Ferrite Trace Formation]]`
concept of light-matter hybrid encoding
* Terahertz regime (100s GHz → THz) aligns with the `[[HDMI Compute Fabric]]` thesis
of using physical interfaces as high-bandwidth compute channels
* The Imbuia beamline at CNPEM (LNLS) is referenced in existing `shared-data` germane
research materials — PbI2 work extends this to the new Tatu terahertz line
* Simple crystallization method parallels the `[[MXene Nanoscrolls as Torsion Closure]]`
work on scalable 2D material synthesis
!! Durable Source
* Phys.org article: "Inexpensive material compresses light, paving the way for photonic
microcircuits in the terahertz range" (May 5, 2026)
* Original paper: `Nature Communications (2026)`, DOI: `10.1038/s41467-026-69027-6`
!! Links
* [[Materials and Hardware Mining]]
* [[Research Papers Index]]
* [[Photon-Chased Ferrite Trace Formation]]
* [[Optical Codon Decoder]]
* [[HDMI Compute Fabric]]
* [[MXene Nanoscrolls as Torsion Closure]]
* [[MXene Scroll PbI2 THz Cavity]]

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: Phi Shell Encoding
type: text/vnd.tiddlywiki
! Phi Shell Encoding
Alias for [[PIST Shell Encoding]] and [[Golden Angle Encoding]].

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: Phinary Number System
type: text/vnd.tiddlywiki
! Phinary Number System
Alias for [[PIST Shell Encoding]] (phi-based number representation).

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: Phonon Mediated Languages
type: text/vnd.tiddlywiki
! Phonon Mediated Languages
Refers to `6-Documentation/papers/OTOM/14_Phonon_Mediated_Languages_Mined.md` and `0-Core-Formalism/lean/Semantics/Semantics/PhononMediatedLanguages.lean`.

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: Physics Compression Bridge
type: text/vnd.tiddlywiki
! Physics Compression Bridge
Refers to `3-Mathematical-Models/physics_compression_bridge.md`.

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Neuroscience Psychopathy CorticalSurface Empathy Morphometrics
title: Psychopathy Cortical Surface Expansion
type: text/vnd.tiddlywiki
! Psychopathy and Cortical Surface Expansion
Large-sample (n=804) structural MRI study linking psychopathy to expanded cortical
surface area and compressed structural brain gradients in incarcerated men.
Published in *Biological Psychiatry: Global Open Science* (2026).
!! Key Findings
* High psychopathy scores associated with increased total cortical surface area,
particularly in superior temporal, auditory, and paralimbic regions — areas
involved in social and emotional processing
* Surface area expansion was specific to psychopathy scores; not correlated with
self-reported empathy (Interpersonal Reactivity Index)
* Disentangled cortical thickness from surface area — two properties with different
developmental mechanisms (neuronal migration/folding vs laminar depth)
* Structural gradient compression: the continuous topographical map from primary
sensory to associative processing regions showed reduced differentiation
* The interpersonal/affective psychopathy factor linked to lower empathic concern;
the antisocial/lifestyle factor linked to impaired perspective-taking
!! Method
Mobile MRI scanner brought to correctional facilities in US Southwest and Midwest.
Psychopathy assessed via Psychopathy Checklist-Revised (PCL-R). Empathy via
Interpersonal Reactivity Index (IRI). Cortical parcellation into hundreds of regions
with separate thickness and surface area measurements. Structural gradient analysis
via diffusion map embedding of cortical morphology.
!! Relevance to Research Stack
*Surface area as a structural invariant:* The paper disentangles two anatomical
properties that develop under different constraints — surface area (set by
progenitor cell division and gyrification during fetal development) vs cortical
thickness (set by laminar differentiation and synaptic pruning through adolescence).
This is a biological example of a two-axis structural invariant where one axis can
be independently disturbed, directly analogous to the `[[AVMR Adaptive Vector Manifold Representation]]`
separation of manifold dimensions and the `[[Mass Number Theory]]` admissible/residual
tensor decomposition.
*Gradient compression:* The compressed structural gradient — less differentiation
between the extremes of the sensory-to-associative axis — is a loss of manifold
resolution. In Research Stack terms, this is a reduction in the effective
dimensionality of the cortical manifold. Same mathematical structure as
`[[Semantic RG Flow]]` coarse-graining and `[[Manifold Flow]]` gradient collapse.
The measurement via diffusion map embedding of the structural covariance matrix
is the same technique underlying the `[[Semantic Eigenvector Bundle]]` pipeline.
*Developmental folding constraints:* Cortical surface area is set by the number
of radial glial progenitor divisions during neurogenesis. Each division adds a
columnar unit to the cortical sheet. The expansion seen in psychopathy implies either
more progenitor divisions or reduced apoptosis during early development. This is a
growth-bounded structural invariant — same constraint class as the `[[Turing Pattern Prior]]`
in `[[Extremophile Constraint Layer]]` (finite nutrient flux bounds growth) and the
`[[Menger Sponge Fractal Addressing]]` volume-surface area relationship.
*Paralimbic bridge:* The paralimbic system connects emotional processing (limbic)
to cognitive processing (neocortical). In psychopathy, this bridge region shows
structural expansion. This maps to the `[[Semantic Engine Binding Derivation]]`
concept of bridging between semantic domains, and the `[[NIICore Architecture]]`
hierarchical controller bridging morphic field layers.
*Empathy decomposition:* The finding that different psychopathy factors dissociate
different empathy types (affective traits → empathic concern; behavioral traits →
perspective-taking) shows that empathy is not a unitary manifold. This supports the
Research Stack's approach of decomposing complex psychological constructs into
separable axes — same methodological principle as `[[Concept Vector 14]]` and
`[[AVMRClassification.lean]]`.
*Self-report limitation:* The null correlation between brain structure and
self-reported empathy is notable. Self-report requires metacognitive access to
one's own empathic deficits — a capacity that psychopathy itself impairs. This is
an instance of a measurement system whose accuracy depends on the property being
measured, a self-referential problem familiar from the `[[Sigma Gate]]` and
`[[EpistemicHonesty.lean]]` frameworks.
!! Integration with Existing Threads
| Thread | Connection |
|--------|------------|
| `[[Brain as Manifold]]` | Cortical surface as a 2D manifold with measurable geometric properties |
| `[[AVMR Adaptive Vector Manifold Representation]]` | Surface area vs thickness as separable manifold axes |
| `[[Semantic RG Flow]]` | Gradient compression as coarse-graining of the cortical manifold |
| `[[Semantic Eigenvector Bundle]]` | Diffusion map embedding used for gradient analysis |
| `[[Extremophile Constraint Layer]]` | Turing Pattern Prior for growth-bounded structural development |
| `[[Mass Number Theory]]` | Surface area expansion as an admissible/residual tensor decomposition |
| `[[Menger Sponge Fractal Addressing]]` | Volume-surface area relationship in folded structures |
| `[[Semantic Engine Binding Derivation]]` | Paralimbic bridge as domain-binding architecture |
| `[[Sigma Gate]]` | Self-referential measurement problem in metacognitive assessment |
| `[[Concept Vector 14]]` | Empathy decomposition into separable psychological axes |
| `[[CognitiveLoad.lean]]` | Cortical structural constraints on cognitive capacity |
!! Durable Source
* Radecki et al. (2026), Biological Psychiatry: Global Open Science
DOI: `10.1016/j.bpsgos.2026.100695`
* PsyPost article by Karina Petrova, May 2, 2026

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: Quaternion Scalar
type: text/vnd.tiddlywiki
! Quaternion Scalar
Refers to [[QuaternionScalar.lean]]. Quaternion-based scalar field representation.

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: QuaternionScalar.lean
type: text/vnd.tiddlywiki
! QuaternionScalar.lean
Alias/redirect. See [[Quaternion Scalar]].

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: Reality Contract Mass Number
type: text/vnd.tiddlywiki
! Reality Contract Mass Number
Alias/redirect. See `RealityContractMassNumber.lean — sovereign reality contract enforcement`.

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created: 20260507000000000
modified: 20260507000000000
tags: ResearchStack Alias
title: ReceiptCore.lean
type: text/vnd.tiddlywiki
! ReceiptCore.lean
Alias/redirect. See `Receipt Core (alias)`.

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@ -16,6 +16,8 @@ found in `/home/allaun/Documents/ingest/` and `/home/allaun/Documents/Research S
* [[Paper rsif 2022 0562]] — J. R. Soc. Interface article (1258KB)
* [[Malicious AI Swarms Democracy]] — AI swarm safety paper (248KB PDF)
* [[Abelian Sandpile Model Article]] — [[Hybrid Abelian Non-Abelian Sandpile]] reference
* [[PbI2 Terahertz Phonon-Polaritons]] — Nature Communications 2026, terahertz photonics via lead iodide
* [[Magnetic Super Lenses Superconductors]] — PNAS 2026, atomic-scale imaging of cuprate superconductors
!! Durable Sources
@ -28,3 +30,4 @@ found in `/home/allaun/Documents/ingest/` and `/home/allaun/Documents/Research S
| Date | Action |
|------|--------|
| 2026-05-07 | Index created from `wiki_builder_shim` scan |
| 2026-05-07 | Added PbI2 terahertz phonon-polariton paper |

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tags: ResearchStack Alias
title: S3C Manifold Geometry
type: text/vnd.tiddlywiki
! S3C Manifold Geometry
Alias for [[S3CManifoldGeometry.lean]]. See [[S3C MassPlus PIST Hyperbola]].

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tags: ResearchStack Alias
title: S3CManifoldGeometry.lean
type: text/vnd.tiddlywiki
! S3CManifoldGeometry.lean
Alias/redirect. See [[S3C Manifold Geometry]].

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tags: ResearchStack Alias
title: Sabotage Prevention
type: text/vnd.tiddlywiki
! Sabotage Prevention
Refers to [[SabotagePrevention.lean]] and `5-Applications/scripts/sabotage_prevention.py`.

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tags: ResearchStack Alias
title: SabotagePrevention.lean
type: text/vnd.tiddlywiki
! SabotagePrevention.lean
Alias/redirect. See [[Sabotage Prevention]].

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tags: ResearchStack Alias
title: Safety Gated Verification
type: text/vnd.tiddlywiki
! Safety Gated Verification
Refers to [[Safety-Gated Verification Plan]] at `6-Documentation/docs/SAFETY_GATED_VERIFICATION_PLAN.md`.

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tags: ResearchStack Alias
title: Safety-Gated Verification Plan
type: text/vnd.tiddlywiki
! Safety-Gated Verification Plan
Alias/redirect. See [[Refers to SAFETY_GATED_VERIFICATION_PLAN.md (alias for [[Safety Gated Verification]])]].

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tags: ResearchStack Alias
title: Semantic Search
type: text/vnd.tiddlywiki
! Semantic Search
Alias for [[Internal Semantic Search]], [[HNSW Vector Search]], and [[Semantic Graph Mining]].

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tags: ResearchStack Alias
title: Sparkle Bridge
type: text/vnd.tiddlywiki
! Sparkle Bridge
Refers to [[SparkleBridge.lean]] and the S3C Sparkle integration.

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tags: ResearchStack Alias
title: SparkleBridge.lean
type: text/vnd.tiddlywiki
! SparkleBridge.lean
Alias/redirect. See [[Sparkle Bridge]].

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! Swarm ENE Middleware
`4-Infrastructure/infra/swarm_ene_middleware.py` (427 lines) — middleware that hooks the Research Swarm API into the ENE database for query result caching, audit logging, and semantic retrieval. Maintains three SQLite tables: swarm_query_cache (TTL-based cache with hit counters), swarm_api_audit (operation log with timing), and swarm_semantic_index (14D concept vector index). Currently uses O(N) brute-force cosine similarity search. The cache stores 14D semantic vectors derived from query subjects via MD5 hashing. Part of the planned HNSW-based ANN upgrade (see [[HNSW Vector Search]] and the [[ENE Cognitive Refactor Plan]]).
`4-Infrastructure/infra/swarm_ene_middleware.py` (427 lines) — middleware that hooks the Research Swarm API into the ENE database for query result caching, audit logging, and semantic retrieval. Maintains three SQLite tables: swarm_query_cache (TTL-based cache with hit counters), swarm_api_audit (operation log with timing), and swarm_semantic_index (14D concept vector index). Currently uses O(N) brute-force cosine similarity search. The cache stores 14D semantic vectors derived from query subjects via MD5 hashing. Part of the planned HNSW-based ANN upgrade (see [[HNSW Vector Search]] and the [[ENe Cognitive Refactor Plan]]).
!! Links

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tags: ResearchStack Alias
title: Swarm MoE Rewiring
type: text/vnd.tiddlywiki
! Swarm MoE Rewiring
Alias/redirect. See `SwarmMoERewiring.lean — dynamic mixture-of-experts routing`.

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tags: ResearchStack Alias
title: Text-to-CAD Viewer
type: text/vnd.tiddlywiki
! Text-to-CAD Viewer
React-based 3D CAD viewer at `5-Applications/text-to-cad/viewer/`. See [[Manifold Viewer]] for WebGL alternatives.

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! Topological State Machine
The Topological State Machine (TSM) is a geometric state-evolution framework that models manifold transitions as discrete steps through topological space. Core implementation: `5-Applications/scripts/topological_state_machine.py`. Extended variants: eigenvector TSM (`eigenvector_tsm_hyperfluid.py`), Hutter TSM (`hutter_eigenvector/`), and unified hypersurface TSM (`3-Mathematical-Models/unified_surface/`). State data stored in `3-Mathematical-Models/topological_state_machine/` with `tsm_report_*.json` outputs. Uses [[FAMM Fast Approximate Manifold Map]] for caching state transitions. Integration with Lean via `TopologicalStateMachine.lean`. The TSM cache directories (eigenvector_tsm, hutter_eigenvector) contain FAMM banks for fast manifold lookup. Referenced in the [[ENE Cognitive Refactor Plan]] Phase 6 for shell-partitioned cache eviction.
The Topological State Machine (TSM) is a geometric state-evolution framework that models manifold transitions as discrete steps through topological space. Core implementation: `5-Applications/scripts/topological_state_machine.py`. Extended variants: eigenvector TSM (`eigenvector_tsm_hyperfluid.py`), Hutter TSM (`hutter_eigenvector/`), and unified hypersurface TSM (`3-Mathematical-Models/unified_surface/`). State data stored in `3-Mathematical-Models/topological_state_machine/` with `tsm_report_*.json` outputs. Uses [[FAMM Fast Approximate Manifold Map]] for caching state transitions. Integration with Lean via `TopologicalStateMachine.lean`. The TSM cache directories (eigenvector_tsm, hutter_eigenvector) contain FAMM banks for fast manifold lookup. Referenced in the [[ENe Cognitive Refactor Plan]] Phase 6 for shell-partitioned cache eviction.
* [[FAMM Fast Approximate Manifold Map]]
* [[Lean Semantics Overview]]

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tags: ResearchStack Consensus Security Enforcement
title: Triumvirate Enforcer
type: text/vnd.tiddlywiki
! Triumvirate Enforcer
Triumvirate Enforcer (`0-Core-Formalism/lean/Semantics/Semantics/TriumvirateEnforcer.lean`) provides 3-party consensus enforcement for critical operations. Requires agreement from three independent verification nodes before any state-changing operation commits. Used by [[MoonRF ECP5 Hardware BFT Oracle]] for Byzantine fault tolerance and [[Session Record KDA-18 BFT Judge]] for judge-node consensus.
Durable Source: `0-Core-Formalism/lean/Semantics/Semantics/TriumvirateEnforcer.lean`

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tags: ResearchStack Alias
title: Weird Machine Video
type: text/vnd.tiddlywiki
! Weird Machine Video
Refers to `The_Video_File_as_a_Self-Instantiating_Weird_Machi.md` in `extraction required/`.

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tags: ResearchStack Alias
title: Witness-Regularized Burgers/GPE
type: text/vnd.tiddlywiki
! Witness-Regularized Burgers/GPE
Alias for [[Witness-Regularized Burgers GPE]].

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tags: ResearchStack Alias
title: Witness-Regularized Burgers/GPE
type: text/vnd.tiddlywiki
! Witness-Regularized Burgers/GPE
Alias/redirect. See [[Alias for [[Witness-Regularized Burgers GPE]]]].