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* quantum_api.h β Unified C API for Quantum Entropy Verification Stack
* Exposes: Fortran (bh_numerics), OCaml (k3_entropy), Runtime (quantum_entropy.mjs)
* License: FSL-1.1-Apache-2.0
* Copyright (c) 2026 SnapKitty Collective
*/
#ifndef QUANTUM_API_H
#define QUANTUM_API_H
#include <stdint.h>
#include <stdbool.h>
#ifdef __cplusplus
extern "C" {
#endif
/* βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
BLACK HOLE THERMODYNAMICS (Fortran bh_numerics.f90)
βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ */
/** Schwarzschild surface gravity: ΞΊ = 1/(4M) */
double schwarzschild_kappa(double M);
/** Schwarzschild entropy: S = 4ΟMΒ² */
double schwarzschild_entropy(double M);
/** Schwarzschild first law: dM = (ΞΊ/2Ο) dS */
bool schwarzschild_first_law(double M, double dM);
/** Kerr surface gravity: ΞΊ = (rβ - M) / (2Mrβ) */
double kerr_kappa(double M, double a);
/** Kerr entropy: S = 2Ο(rβΒ² + aΒ²) */
double kerr_entropy(double M, double a);
/** Kerr angular velocity: Ξ© = a / (2Mrβ) */
double kerr_angular_velocity(double M, double a);
/** Wald entropy for general Lagrangian */
void wald_entropy_general(
double g_tt, double g_rr, double g_thth, double g_phph,
const double* L_params, int64_t n_params,
double* S, double* kappa, double* Omega
);
/** LQG entropy correction: S = A/4 + Ξ± ln(A) + Ξ² */
double lqg_entropy_correction(double A, double alpha, double beta);
/** String theory entropy correction: S = A/4 + Ξ³βA */
double string_entropy_correction(double A, double gamma);
/* βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
K3 SURFACE ENTROPY (HOL Light k3_entropy.ml β OCaml extraction)
βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ */
/** K3 entropy violation: always returns true (proven in HOL Light) */
bool k3_entropy_violates_bound(void);
/** K3 Hodge numbers sum: 24 */
int k3_hodge_numbers_sum(void);
/** K3 Shannon entropy value: 0.831... nats */
double k3_entropy_value(void);
/* βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
ENTROPY VALIDATION (Coq EntropyValidation.v β extraction)
βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ */
/** Validation result structure */
typedef struct {
uint64_t total_bits;
uint64_t ones_count;
uint64_t zeros_count;
double ones_ratio;
bool passed;
} validation_result_t;
/** Validate entropy distribution (Β±10% NISQ tolerance) */
validation_result_t entropy_validate_distribution(
const uint8_t* bytes,
size_t n_bytes,
double tolerance
);
/** Check if all-zeros pattern fails validation */
bool entropy_all_zeros_fails(size_t n, double tolerance);
/** Check if all-ones pattern fails validation */
bool entropy_all_ones_fails(size_t n, double tolerance);
/* βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
BORN RULE COLLAPSE (Lean4 BornRuleCollapse.lean β extraction)
βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ */
/** Thermal window bounds */
typedef struct {
double min;
double max;
} thermal_window_t;
/** Collapse result (Vacuum or Collapsed) */
typedef struct {
bool is_vacuum;
double collapsed_value;
uint32_t branch_count;
uint32_t total_branches;
} collapse_result_t;
/** Born-rule collapse with thermal window filtering */
collapse_result_t born_rule_collapse(
const uint16_t* samples,
size_t n_samples,
thermal_window_t window
);
/** Check if collapsed value is within thermal window (T2) */
bool born_collapse_valid_range(
collapse_result_t result,
thermal_window_t window
);
/** Check if weights sum to 1 (T4) */
bool born_weights_sum_to_one(
const double* weights,
size_t n_weights
);
/* βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
INTEGRATION HELPERS
βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ */
/** Initialize quantum entropy stack (loads all verification artifacts) */
bool quantum_api_init(void);
/** Clean up resources */
void quantum_api_cleanup(void);
/** Get verification status string */
const char* quantum_api_version(void);
/** Run self-tests (cross-checks all systems) */
bool quantum_api_self_test(void);
#ifdef __cplusplus
}
#endif
#endif /* QUANTUM_API_H */
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