# /mmuko/mmuko_boot_sim.py
"""
MMUKO-OS Boot Sequence Simulator (from MMUKO-BOOT.PSC)
This implements the provided pseudocode as a deterministic simulator:
- Byte -> 8-cubit compass ring
- Weak-map superposition lookup
- Phase pipeline (alignment, entanglement resolution, diamond traversal, rotation check)
Run:
python mmuko_boot_sim.py --bytes 00 ff 2a --bases 12 6 8
Or (bases auto default to 6):
python mmuko_boot_sim.py --bytes 01 02 03
Notes:
- This is a simulator of *semantics*, not a real bootloader.
- It is designed to be a reference implementation for porting to C/C++/ASM.
"""
from __future__ import annotations
import argparse
from dataclasses import dataclass
from enum import Enum
from typing import Dict, List, Optional, Tuple
PI = 3.14159265358979
G_VACUUM = 9.8
G_LEPTON = G_VACUUM / 10.0
G_MUON = G_LEPTON / 10.0
G_DEEP = G_MUON / 10.0
class Direction(str, Enum):
N = "N"
NE = "NE"
E = "E"
SE = "SE"
S = "S"
SW = "SW"
W = "W"
NW = "NW"
UNDEFINED = "UNDEFINED"
class State(str, Enum):
UP = "UP"
DOWN = "DOWN"
CHARM = "CHARM"
STRANGE = "STRANGE"
LEFT = "LEFT"
RIGHT = "RIGHT"
SPINS: List[float] = [
PI / 4, # N
PI / 3, # NE
PI / 2, # E
PI, # SE (as given in PSC constants)
PI * 2, # S
PI / 2, # SW (dual with E)
PI / 3, # W (dual with NE)
PI / 4, # NW (dual with N)
]
DIRECTIONS: List[Direction] = [
Direction.N,
Direction.NE,
Direction.E,
Direction.SE,
Direction.S,
Direction.SW,
Direction.W,
Direction.NW,
]
ENTANGLED_WITH: List[int] = [
7, # N <-> NW
6, # NE <-> W
5, # E <-> SW
-1, # SE
-1, # S
2, # SW <-> E
1, # W <-> NE
0, # NW <-> N
]
@dataclass(frozen=True)
class SuperpositionPair:
primary: Direction
secondary: Direction
SUPERPOSITION_TABLE: Dict[int, SuperpositionPair] = {
12: SuperpositionPair(primary=Direction.S, secondary=Direction.N),
10: SuperpositionPair(primary=Direction.SE, secondary=Direction.N),
8: SuperpositionPair(primary=Direction.E, secondary=Direction.W),
6: SuperpositionPair(primary=Direction.SW, secondary=Direction.E),
4: SuperpositionPair(primary=Direction.W, secondary=Direction.E),
2: SuperpositionPair(primary=Direction.NE, secondary=Direction.W),
1: SuperpositionPair(primary=Direction.N, secondary=Direction.S),
}
@dataclass
class Cubit:
index: int
value: int
spin: float
direction: Direction
state: State
superposed: bool
entangled_with: int
@dataclass
class ByteNode:
raw_value: int
base_index: int
cubit_ring: List[Cubit]
superposition_state: SuperpositionPair
@dataclass
class BootStatus:
ok: bool
reason: str = ""
def resolve_state(index: int, byte_val: int) -> State:
bit = (byte_val >> index) & 1
neighbor = (byte_val >> ((index + 1) % 8)) & 1
if bit == 1 and neighbor == 1:
return State.UP
if bit == 1 and neighbor == 0:
return State.CHARM
if bit == 0 and neighbor == 1:
return State.STRANGE
return State.DOWN
def init_cubit_ring(byte_value: int) -> List[Cubit]:
ring: List[Cubit] = []
for i in range(8):
value = (byte_value >> i) & 1
ent = ENTANGLED_WITH[i]
ring.append(
Cubit(
index=i,
value=value,
spin=SPINS[i],
direction=DIRECTIONS[i],
state=resolve_state(i, byte_value),
superposed=(ent != -1),
entangled_with=ent,
)
)
return ring
def round_to_even_base(base: int) -> int:
if base <= 1:
return 1
if base in SUPERPOSITION_TABLE:
return base
# Find closest key by absolute distance; tie -> smaller key.
keys = sorted(SUPERPOSITION_TABLE.keys())
best = keys[0]
best_dist = abs(base - best)
for k in keys[1:]:
dist = abs(base - k)
if dist < best_dist or (dist == best_dist and k < best):
best, best_dist = k, dist
return best
def lookup_superposition(base: int) -> SuperpositionPair:
if base in SUPERPOSITION_TABLE:
return SUPERPOSITION_TABLE[base]
nearest = round_to_even_base(base)
return SUPERPOSITION_TABLE[nearest]
def rotate_bits(value: int, n: int) -> int:
n %= 8
return ((value >> n) | (value << (8 - n))) & 0xFF
def flip_state(s: State) -> State:
mapping = {
State.UP: State.DOWN,
State.DOWN: State.UP,
State.CHARM: State.STRANGE,
State.STRANGE: State.CHARM,
State.LEFT: State.RIGHT,
State.RIGHT: State.LEFT,
}
return mapping[s]
def get_middle_base() -> int:
return 12 // 2 # PSC: 1–12 space => middle is 6
def mode(items: List[Direction]) -> Direction:
counts: Dict[Direction, int] = {}
for it in items:
counts[it] = counts.get(it, 0) + 1
# highest count, tie -> stable alphabetical by enum value
best = sorted(counts.items(), key=lambda kv: (-kv[1], kv[0].value))[0][0]
return best
def resolve_direction_from_neighbors(ring: List[Cubit], idx: int) -> Direction:
# Adjacent in the compass ring: (idx-1) and (idx+1)
n1 = ring[(idx - 1) % 8].direction
n2 = ring[(idx + 1) % 8].direction
neighbor_dirs = [d for d in (n1, n2) if d != Direction.UNDEFINED]
if not neighbor_dirs:
return Direction.N
return mode(neighbor_dirs)
def resolve_base_state(base: int, logs: List[str]) -> None:
# Stub: in a real bootloader, this would trigger subsystem bring-up.
pair = lookup_superposition(base)
logs.append(f"[resolve_base_state] base={base} -> primary={pair.primary.value}, secondary={pair.secondary.value}")
def set_frame_of_reference(center_direction: Direction, logs: List[str]) -> None:
logs.append(f"[set_frame_of_reference] center_direction={center_direction.value}")
def mmuko_boot(memory_bytes: List[int], base_indices: Optional[List[int]] = None) -> Tuple[BootStatus, List[str], List[ByteNode]]:
logs: List[str] = []
nodes: List[ByteNode] = []
# PHASE 0
logs.append("MMUKO PHASE 0: Initializing vacuum medium...")
medium = {"gravity": G_VACUUM, "air": 0, "water": 0}
logs.append(f"[medium] {medium}")
# PHASE 1
logs.append("MMUKO PHASE 1: Initializing cubit rings...")
if base_indices is None:
base_indices = [6 for _ in memory_bytes]
if len(base_indices) != len(memory_bytes):
return BootStatus(False, "base_indices length must match bytes length"), logs, nodes
for b, base in zip(memory_bytes, base_indices):
ring = init_cubit_ring(b)
sp = lookup_superposition(base)
nodes.append(ByteNode(raw_value=b, base_index=base, cubit_ring=ring, superposition_state=sp))
logs.append(f"[byte] raw=0x{b:02X} base={base} superposition=({sp.primary.value},{sp.secondary.value})")
# Flatten cubits
all_cubits: List[Tuple[int, Cubit]] = []
for bi, node in enumerate(nodes):
for c in node.cubit_ring:
all_cubits.append((bi, c))
# PHASE 2
logs.append("MMUKO PHASE 2: Compass alignment...")
for bi, node in enumerate(nodes):
ring = node.cubit_ring
# We keep directions as initialized, but this supports UNDEFINED injection.
for i, c in enumerate(ring):
if c.direction == Direction.UNDEFINED:
new_dir = resolve_direction_from_neighbors(ring, i)
ring[i] = Cubit(**{**c.__dict__, "direction": new_dir})
if ring[i].direction == Direction.UNDEFINED:
return BootStatus(False, f"Boot lock detected at byte={bi} cubit={i}"), logs, nodes
# PHASE 3
logs.append("MMUKO PHASE 3: Entangling superposition pairs...")
for bi, node in enumerate(nodes):
ring = node.cubit_ring
for i, c in enumerate(ring):
if not c.superposed or c.entangled_with == -1:
continue
partner_idx = c.entangled_with
partner = ring[partner_idx]
if c.state == partner.state:
flipped = flip_state(partner.state)
ring[partner_idx] = Cubit(**{**partner.__dict__, "state": flipped})
logs.append(f"[interference] byte={bi} pair=({i},{partner_idx}) state={partner.state.value}->{flipped.value}")
# PHASE 4
logs.append("MMUKO PHASE 4: Frame of reference centering...")
center_base = get_middle_base()
center_dir = lookup_superposition(center_base).primary
set_frame_of_reference(center_dir, logs)
# PHASE 5
logs.append("MMUKO PHASE 5: Nonlinear index resolution (diamond table)...")
boot_order = [12, 6, 8, 4, 10, 2, 1]
for base in boot_order:
resolve_base_state(base, logs)
# PHASE 6
logs.append("MMUKO PHASE 6: Rotation freedom check...")
for bi, node in enumerate(nodes):
for c in node.cubit_ring:
test_val = rotate_bits(c.value, 4)
test_val = rotate_bits(test_val, 4)
if test_val != c.value:
return BootStatus(False, f"Rotation lock at byte={bi} cubit={c.index}"), logs, nodes
# PHASE 7
logs.append("MMUKO BOOT COMPLETE — All cubits aligned, no lock detected.")
return BootStatus(True, "BOOT_OK"), logs, nodes
def parse_hex_byte(s: str) -> int:
s = s.strip().lower()
if s.startswith("0x"):
s = s[2:]
v = int(s, 16)
if not (0 <= v <= 0xFF):
raise ValueError(f"byte out of range: {s}")
return v
def main() -> None:
ap = argparse.ArgumentParser(description="MMUKO-BOOT.PSC semantics simulator")
ap.add_argument("--bytes", nargs="+", required=True, help="Bytes in hex (e.g., 00 ff 2a or 0x2a)")
ap.add_argument("--bases", nargs="*", type=int, help="Optional base indices per byte (same count as --bytes)")
ap.add_argument("--quiet", action="store_true", help="Only print final status")
args = ap.parse_args()
memory = [parse_hex_byte(x) for x in args.bytes]
bases = args.bases if args.bases else None
status, logs, nodes = mmuko_boot(memory, bases)
if not args.quiet:
for line in logs:
print(line)
print()
for i, node in enumerate(nodes):
print(f"[ring byte {i}] raw=0x{node.raw_value:02X} base={node.base_index} sp=({node.superposition_state.primary.value},{node.superposition_state.secondary.value})")
for c in node.cubit_ring:
ent = f" ent={c.entangled_with}" if c.entangled_with != -1 else ""
print(f" - cubit {c.index}: v={c.value} dir={c.direction.value} spin={c.spin:.4f} state={c.state.value} superposed={c.superposed}{ent}")
print()
if status.ok:
print("STATUS: BOOT_OK")
else:
print(f"STATUS: BOOT_FAILED: {status.reason}")
if __name__ == "__main__":
main()
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