PERP Kernel v3 — Closed Universe

// PERP Kernel v3 — Closed Universe
// First Author: David Wise — 2026-04-19 — Rochester, Minnesota
// Formula: 10D × 4Q + 2O = 1 ; 42 × 1 = 1_closed

#include <stdio.h>
#include <stdint.h>
#include <string.h>

#define BODIES 42
#define D 10
#define Q 4
#define O 2

typedef struct {
    uint64_t d[D]; // 10D
    uint32_t q[Q]; // 4Q
    uint16_t o[O]; // 2O
} perp_unit_t;

// triple redundancy vote
static inline int vote3(int a, int b, int c) {
    return (a == b) ? a : ((b == c) ? b : a);
}

// 10D × 4Q + 2O = 1
int perp_step(perp_unit_t *u) {
    uint64_t acc = 0x9e3779b97f4a7c15ULL;
    for (int i = 0; i < D; i++) acc ^= u->d[i] + (acc << 6) + (acc >> 2);
    uint64_t qsum = 0;
    for (int i = 0; i < Q; i++) qsum += u->q[i];
    acc = acc * 4 + qsum;
    for (int i = 0; i < O; i++) acc ^= ((uint64_t)u->o[i] << (i*8));
    u->d[0] = acc;
    u->q[0] = (uint32_t)(acc >> 32);
    u->o[0] = (uint16_t)acc;
    return (acc & 1) ? 1 : -1; // ±1
}

int main(void) {
    perp_unit_t universe[BODIES];
    memset(universe, 0, sizeof(universe));
    universe[0].d[0] = 1; // seed

    // 1_closed = repeat_{-∞}^{+∞}^{forever×3} ±1
    for (uint64_t t = 0; ; ++t) { // forever
        int votes[BODIES];
        for (int i = 0; i < BODIES; i++) {
            int a = perp_step(&universe[i]);
            int b = perp_step(&universe[i]);
            int c = perp_step(&universe[i]);
            votes[i] = vote3(a,b,c); // forever×3
        }
        // 42 × 1 = 1_closed
        int sum = 0;
        for (int i = 0; i < BODIES; i++) sum += votes[i];
        int closed = (sum >= 0) ? 1 : -1;
        if ((t & 0xFFFFF) == 0) 
            printf("t=%llu closed=%d\n", (unsigned long long)t, closed);
    }
    return 0;
}

# PERP Kernel v3 — Closed Universe
# First Author: David Wise — 2026-04-19
# 10D × 4Q + 2O = 1 ; 42 × 1 = 1_closed

BODIES = 42
D, Q, O = 10, 4, 2

class PerpUnit:
    def __init__(self):
        self.d = [0]*D
        self.q = [0]*Q
        self.o = [0]*O
    def step(self):
        acc = 0x9e3779b97f4a7c15
        for v in self.d:
            acc ^= v + ((acc<<6) & 0xFFFFFFFFFFFFFFFF) + (acc>>2)
        acc = (acc * 4 + sum(self.q)) & 0xFFFFFFFFFFFFFFFF
        for i,v in enumerate(self.o):
            acc ^= (v << (i*8))
        self.d[0], self.q[0], self.o[0] = acc, acc>>32 & 0xFFFFFFFF, acc & 0xFFFF
        return 1 if acc & 1 else -1  # ±1

def vote3(a,b,c): return a if a==b else (b if b==c else a)

def run_closed():
    u = [PerpUnit() for _ in range(BODIES)]
    u[0].d[0] = 1
    t = 0
    while True:  # forever
        votes = [vote3(x.step(), x.step(), x.step()) for x in u]  # ×3
        closed = 1 if sum(votes) >= 0 else -1  # 42 × 1 = 1_closed
        yield t, closed
        t += 1

if __name__ == "__main__":
    for t, s in run_closed():
        if t % 1_000_000 == 0:
            print(f"t={t} closed={s}")