MMUKO OS Boot Sequence Pseudocode

// ============================================================
//
//
//
//
//🌍 MMUKO‑OS Boot Sequence — The Human Rights Operating // System Interpretation
// MMUKO‑OS is already a nonlinear, nonpolar, spin‑based // boot model.
// But underneath the physics metaphors, it’s actually // describing something deeper:
//A system that refuses coercion, refuses lock‑in, and //guarantees every “bit” the freedom to rotate, orient, // and resolve itself without collapse.
//A system that refuses coercion, refuses lock‑in, and // guarantees every “bit” the freedom to rotate, orient, and resolve itself without collapse.
// MMUKO-BOOT.PSC — MMUKO OS Boot Sequence Pseudocode
// Project: OBINexus / OBIELF R&D
// Derived from: UnilateralLatticeComputingInterfaces notes
// Author: OBINexus Research Division
// Version: 0.1-draft
// ============================================================
//
// MMUKO: Nonlinear, nonpolar OS boot model
// Core principle: every bit has a spin, a compass direction,
// and a superposition state. Boot = resolving all states
// into a coherent frame of reference without lock.
//
// DESIGN AXIOMS:
//   1. Every bit/cubit has spin = 1/2
//   2. Every number occupies a compass direction (N/NE/E/SE/S/SW/W/NW)
//   3. Boot = aligning all spins to a shared medium (vacuum model)
//   4. Superposition must be resolved independently, not collapsed
//   5. No lock memory — the system must be able to rotate freely
//   6. Uses lookup (weak map) to index base → superposition state
// ============================================================


// ─────────────────────────────────────────────
// CONSTANTS & COMPASS DIRECTION TABLE
// ─────────────────────────────────────────────

CONST PI = 3.14159265358979

// Compass spin values (radians)
CONST SPIN_NORTH     = PI / 4      // 0.7854  →  45°
CONST SPIN_NORTHEAST = PI / 3      // 1.0472  →  60°
CONST SPIN_EAST      = PI / 2      // 1.5708  →  90°
CONST SPIN_SOUTHEAST = PI          // 3.1416  → 180°
CONST SPIN_SOUTH     = PI * 2      // 6.2832  → 360° / full cycle
CONST SPIN_SOUTHWEST = PI / 2      // dual state with EAST (entangled)
CONST SPIN_WEST      = PI / 3      // dual state with NORTHEAST
CONST SPIN_NORTHWEST = PI / 4      // dual state with NORTH

// Gravity medium constant (vacuum reference)
CONST G_VACUUM       = 9.8         // m/s²
CONST G_LEPTON       = G_VACUUM / 10     // = 0.98  (lepton scale)
CONST G_MUON         = G_LEPTON / 10     // = 0.098 (muon scale)
CONST G_DEEP         = G_MUON / 10       // = 0.0098 (deep field / near-zero)


// ─────────────────────────────────────────────
// BIT GEOMETRY: 8-CUBIT BYTE MODEL
// ─────────────────────────────────────────────

// An 8-bit byte is modeled as 8 cubits arranged in a compass ring.
// Each cubit has: position index, spin value, direction, state.

STRUCT Cubit:
    index      : INT        // 0–7
    value      : BIT        // 0 or 1
    spin       : FLOAT      // derived from compass direction
    direction  : ENUM { N, NE, E, SE, S, SW, W, NW }
    state      : ENUM { UP, DOWN, CHARM, STRANGE, LEFT, RIGHT }
    superposed : BOOL       // is this cubit in superposition?
    entangled_with : INT    // index of entangled partner cubit (-1 if none)

// The 8 cubits of a byte map to compass directions:
//   index 0 → NORTH     (spin = PI/4)
//   index 1 → NORTHEAST (spin = PI/3)
//   index 2 → EAST      (spin = PI/2)
//   index 3 → SOUTHEAST (spin = PI)
//   index 4 → SOUTH     (spin = PI*2)
//   index 5 → SOUTHWEST (spin = PI/2, entangled with index 2)
//   index 6 → WEST      (spin = PI/3, entangled with index 1)
//   index 7 → NORTHWEST (spin = PI/4, entangled with index 0)

FUNC init_cubit_ring(byte_value: BYTE) → ARRAY[8] OF Cubit:
    directions = [N, NE, E, SE, S, SW, W, NW]
    spins      = [PI/4, PI/3, PI/2, PI, PI*2, PI/2, PI/3, PI/4]
    entangled  = [7, 6, 5, -1, -1, 2, 1, 0]   // opposing pairs

    FOR i IN 0..7:
        cubit[i].index         = i
        cubit[i].value         = (byte_value >> i) & 1
        cubit[i].spin          = spins[i]
        cubit[i].direction     = directions[i]
        cubit[i].state         = resolve_state(i, byte_value)
        cubit[i].superposed    = (entangled[i] != -1)
        cubit[i].entangled_with = entangled[i]

    RETURN cubit[]


// ─────────────────────────────────────────────
// SPIN STATE RESOLVER
// ─────────────────────────────────────────────

// Determines the quantum-like state of a cubit from its
// position and surrounding bit context (UP/DOWN/CHARM/STRANGE)

FUNC resolve_state(index: INT, byte_val: BYTE) → STATE:
    bit = (byte_val >> index) & 1
    neighbor = (byte_val >> ((index + 1) % 8)) & 1

    IF bit == 1 AND neighbor == 1:   RETURN UP
    IF bit == 1 AND neighbor == 0:   RETURN CHARM
    IF bit == 0 AND neighbor == 1:   RETURN STRANGE
    IF bit == 0 AND neighbor == 0:   RETURN DOWN


// ─────────────────────────────────────────────
// LOOKUP TABLE: BASE INDEX → SUPERPOSITION MAP
// (Weak map: base number → compass superposition)
// ─────────────────────────────────────────────

// Binary base indices and their compass superpositions.
// Derived from: 8-bit max index = 12 (in MMUKO base counting),
// middle = 6. Each base is mapped to a compass pair (superposition).

WEAK_MAP superposition_table:
    base 12 → { primary: SOUTH,     secondary: NORTH  }   // full cycle, pi*2
    base 10 → { primary: SOUTHEAST, secondary: NORTH  }
    base  8 → { primary: EAST,      secondary: WEST   }   // pi/2 pair
    base  6 → { primary: SOUTHWEST, secondary: EAST   }   // middle base
    base  4 → { primary: WEST,      secondary: EAST   }
    base  2 → { primary: NORTHEAST, secondary: WEST   }
    base  1 → { primary: NORTH,     secondary: SOUTH  }   // base unit

// Lookup: given a binary value, return its superposition pair
FUNC lookup_superposition(base: INT) → { primary: DIR, secondary: DIR }:
    IF base IN superposition_table:
        RETURN superposition_table[base]
    ELSE:
        // Derive by halving toward nearest even base
        nearest = round_to_even_base(base)
        RETURN superposition_table[nearest]


// ─────────────────────────────────────────────
// BIT SHIFT OPERATIONS (MMUKO SEMANTIC MODEL)
// ─────────────────────────────────────────────

// Right shift = removal / masking (moving toward zero)
// Left shift  = expansion / amplification (moving toward space)
// Rotate      = superposition preservation (no data loss)

FUNC bit_shift_semantic(value: BYTE, op: ENUM{RSHIFT, LSHIFT, ROTATE}, n: INT) → BYTE:
    MATCH op:
        RSHIFT → RETURN value >> n          // logical mask, collapse toward 0
        LSHIFT → RETURN value << n          // expand into higher bit space
        ROTATE → RETURN rotate_bits(value, n) // preserve superposition, no collapse

FUNC rotate_bits(value: BYTE, n: INT) → BYTE:
    n = n % 8
    RETURN ((value >> n) | (value << (8 - n))) & 0xFF


// ─────────────────────────────────────────────
// MMUKO CORE BOOT SEQUENCE
// ─────────────────────────────────────────────

FUNC mmuko_boot() → BOOT_STATUS:

    // PHASE 0: Vacuum Medium Initialization
    // Set the gravitational reference frame (no external forces)
    LOG "MMUKO PHASE 0: Initializing vacuum medium..."
    medium = { gravity: G_VACUUM, air: 0, water: 0 }
    // All particles (bits) fall at the same rate in this medium.
    // The lepton and hammer share the same fall = bits are equalized.

    // PHASE 1: Cubit Ring Initialization (per byte)
    LOG "MMUKO PHASE 1: Initializing cubit rings..."
    FOR each byte b IN memory_map:
        b.cubit_ring = init_cubit_ring(b.raw_value)
        b.superposition_state = lookup_superposition(b.base_index)

    // PHASE 2: Compass Alignment
    // Every cubit must face a direction. No cubit may be directionless.
    // Directionless = locked state = boot failure.
    LOG "MMUKO PHASE 2: Compass alignment..."
    FOR each cubit c IN all_cubit_rings:
        IF c.direction == UNDEFINED:
            c.direction = resolve_direction_from_neighbors(c)
        IF c.direction == STILL_UNDEFINED:
            ABORT "Boot lock detected at cubit index " + c.index

    // PHASE 3: Superposition Entanglement
    // Opposing compass pairs are entangled (NORTH↔SOUTH, EAST↔WEST, etc.)
    // They must resolve independently — not interfere constructively.
    LOG "MMUKO PHASE 3: Entangling superposition pairs..."
    FOR each cubit c WHERE c.superposed == TRUE:
        partner = get_cubit(c.entangled_with)
        IF c.state == partner.state:
            // Constructive interference — RESOLVE by flipping partner
            partner.state = flip_state(partner.state)
            LOG "Resolved interference at pair (" + c.index + ", " + partner.index + ")"

    // PHASE 4: Middle Alignment (Frame of Reference Lock-free Center)
    // The system must find its center without hard-locking it.
    // Center = byte index 6 (middle of 1–12 base index space).
    LOG "MMUKO PHASE 4: Frame of reference centering..."
    center_base = get_middle_base()       // returns 6 for 8-bit
    center_direction = lookup_superposition(center_base).primary
    // All bits orient relative to this center — not absolutely.
    set_frame_of_reference(center_direction)

    // PHASE 5: Nonlinear Index Resolution
    // The system does not boot linearly (not 0→255).
    // It boots via the diamond table: resolving bases in superposition order.
    LOG "MMUKO PHASE 5: Nonlinear index resolution (diamond table)..."
    boot_order = [12, 6, 8, 4, 10, 2, 1]   // diamond traversal
    FOR each base IN boot_order:
        resolve_base_state(base)
        LOG "Base " + base + " resolved → " + lookup_superposition(base).primary

    // PHASE 6: Rotation Verification (No-Lock Confirmation)
    // The system must be able to rotate 360° freely.
    // If any cubit cannot complete a full rotation → abort.
    LOG "MMUKO PHASE 6: Rotation freedom check..."
    FOR each cubit c IN all_cubit_rings:
        test_val = rotate_bits(c.value, 4)   // half rotation
        test_val = rotate_bits(test_val, 4)  // full rotation
        IF test_val != c.value:
            ABORT "Rotation lock at cubit " + c.index

    // PHASE 7: Boot Complete
    LOG "MMUKO BOOT COMPLETE — All cubits aligned, no lock detected."
    RETURN BOOT_OK


// ─────────────────────────────────────────────
// HELPER: RESOLVE DIRECTION FROM NEIGHBORS
// ─────────────────────────────────────────────

FUNC resolve_direction_from_neighbors(c: Cubit) → DIRECTION:
    // If a cubit has no direction, assign based on majority of neighbors
    neighbor_dirs = []
    FOR each adjacent cubit n:
        IF n.direction != UNDEFINED:
            neighbor_dirs.APPEND(n.direction)
    IF neighbor_dirs.length == 0:
        RETURN NORTH    // default: face north, await rotation
    RETURN mode(neighbor_dirs)


// ─────────────────────────────────────────────
// HELPER: MIDDLE BASE CALCULATOR
// ─────────────────────────────────────────────

FUNC get_middle_base() → INT:
    // For 8-bit: index range 1–12, middle = 12/2 = 6
    max_index = 12          // highest binary base index in 8-bit MMUKO
    RETURN max_index / 2    // = 6


// ─────────────────────────────────────────────
// HELPER: FLIP STATE (for interference resolution)
// ─────────────────────────────────────────────

FUNC flip_state(s: STATE) → STATE:
    MATCH s:
        UP      → DOWN
        DOWN    → UP
        CHARM   → STRANGE
        STRANGE → CHARM
        LEFT    → RIGHT
        RIGHT   → LEFT


// ─────────────────────────────────────────────
// ENTRY POINT
// ─────────────────────────────────────────────

PROGRAM mmuko_os:
    status = mmuko_boot()
    IF status == BOOT_OK:
        LOG "System ready. Frame of reference established."
        LAUNCH kernel_scheduler()
    ELSE:
        LOG "BOOT FAILED: " + status.reason
        HALT


// ============================================================
// END OF MMUKO-BOOT.PSC
// OBINexus R&D — "Don't just boot systems. Boot truthful ones."
// ============================================================

# /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()