#!/usr/bin/env python3
"""
verify_P008.py -- Paper 08: time, observation, and bootstrap structure.

This verifier checks the explicit arithmetic in toe/08_Paper_TimeObservationBootstrap.tex:
density coefficients, moment integrals, beta/kappa, Planck unit consistency,
the frame-count formula cited in the later resolution note, and the Higgs VEV
back-of-envelope formula.

Most arithmetic reproduces. Flagged issues are proof/status/internal-consistency
problems: the self-intersection dimension statements conflict with the appendix,
the discrete-update-to-Schrodinger step is not derived by the displayed equation,
Planck-time discreteness is asserted rather than derived, and the broader
measurement/consciousness/no-fourth-family/prime-correlation claims are not
code-verifiable from this TeX.
"""

from __future__ import annotations

import math
import sys
from pathlib import Path

sys.path.insert(0, str(Path(__file__).resolve().parent))
from verify_common import CheckResult, Verifier


class ModernVerifier(Verifier):
    """Output adapter: modern check-line format. Tolerance logic is
    inherited unchanged from verify_common.Verifier; only printing and
    the footer differ."""

    def __init__(self, name: str):
        self.name = name
        self.results = []
        print(name)

    def record(self, label, ok, computed="", claimed="", detail=""):
        self.results.append(CheckResult(label, ok, computed, claimed, detail))
        n = len(self.results)
        expected = (not ok) and ("Expected" in str(detail))
        desc = f"{label} -- {detail}" if expected else label
        print(f"  [{'PASS' if ok else 'FAIL'}] {n:>2}. {desc}")
        if computed != "" or claimed != "":
            print(f"       computed: {computed}")
            print(f"       claimed : {claimed}")
        if detail and not expected:
            print(f"       {detail}")
        return ok

    def summary(self):
        passed = sum(r.ok for r in self.results)
        failed = len(self.results) - passed
        print(f"\n{'='*60}\nRESULT: {passed} PASS / {failed} FAIL")
        return 1 if failed else 0



v = ModernVerifier("P008 -- Time Observation Bootstrap")

ROOT = Path(__file__).resolve().parents[2]
TEX = (ROOT / "toe" / "08_Paper_TimeObservationBootstrap.tex").read_text()

PI = math.pi
MU0 = 4.0 * PI**3 + PI**2 + PI
MU1 = 16.0 * PI**3 / 5.0 + 3.0 * PI**2 / 4.0 + 2.0 * PI / 3.0
ALPHA = 1.0 / MU0
KAPPA = ALPHA**1.25
BETA = 6.0 * (MU1 / MU0)
LAMBDA1 = 16.52
E_SELF = 13.177
VEV_EST = LAMBDA1 * E_SELF * 9.0 / 8.0
PLANCK_TIME = 5.39e-44
PLANCK_LENGTH = 1.616e-35
C_FROM_QUOTES = PLANCK_LENGTH / PLANCK_TIME


def frame_count(d: int) -> int:
    return (d + 1) ** max(d - 1, 1)


def pct(value: float, target: float) -> float:
    return 100.0 * (value - target) / abs(target)


v.check("coefficient c1", 2, 2, rel=0)
v.check("coefficient c2", 3, 3, rel=0)
v.check("coefficient c3", 16, 16, rel=0)
v.check("frame-count formula d=1", frame_count(1), 2, rel=0)
v.check("frame-count formula d=2", frame_count(2), 3, rel=0)
v.check("frame-count formula d=3", frame_count(3), 16, rel=0)
v.check("bulk density integral", 4.0 * PI**3, 124.0251, rel=1e-6)
v.check("boundary density integral", PI**2, 9.8696, rel=5e-6)
v.check("edge density integral", PI, 3.14159, rel=1e-6)
v.check("mu0 fine-structure inverse", MU0, 137.036, rel=3e-6)
v.check("mu1", MU1, 108.7167, rel=2e-7)
v.check("beta = 6 mu1/mu0", BETA, 4.760, rel=2e-4)
v.check("kappa = alpha^(5/4)", KAPPA, 0.002132826, rel=7e-8)
v.check("prime spacing 4", 2**2, 4, rel=0)
v.check("prime spacing 8", 2**3, 8, rel=0)
v.check("prime spacing 16", 2 * 8, 16, rel=0)
v.check("Planck length / Planck time gives c", C_FROM_QUOTES, 2.998e8, rel=2e-3)
v.check("Higgs VEV estimate from displayed formula", VEV_EST, 245.0, rel=5e-4)
v.check("Higgs VEV residual vs 246 GeV percent", pct(VEV_EST, 246.0), -0.45, rel=8e-2)

v.record(
    "heuristic status caveat for coefficient counting is present",
    "heuristic counting estimate" in TEX and "uniform derivation" in TEX,
    computed="heuristic caveat and later Paper 31 resolution note found",
    claimed="coefficient proof status is qualified",
)
v.record(
    "self-intersection dimension statements are internally consistent",
    False,
    computed="main text says S3 cap S3 -> S2, while appendix writes S3 cap S3 = sum_i n_i p_i as points; ambient dimensions are not kept consistent",
    claimed="one consistent self-intersection formalism",
    detail="Expected internal-consistency fail.",
)
v.record(
    "discrete update equation derives Schrodinger equation",
    False,
    computed="|psi_{n+1}> = O|psi_n> does not imply O = I - iH dt/hbar or unitary time evolution; that replacement is inserted in the continuum step",
    claimed="Schrodinger equation follows naturally from discrete observation steps",
    detail="Expected derivation fail.",
)
v.record(
    "Planck-scale discreteness is derived from prior formulas",
    False,
    computed="the Planck time and length are quoted, but no derivation links the observation operator step Delta t to t_P",
    claimed="time is fundamentally discrete at the Planck scale",
    detail="Expected status fail.",
)
v.record(
    "measurement collapse is mathematically derived",
    False,
    computed="collapse is identified with self-intersection, but no Born rule, projection postulate, or nonunitary/localization theorem is derived",
    claimed="measurement problem resolved",
    detail="Expected proof-status fail.",
)
v.record(
    "consciousness-observation duality is code-verifiable",
    False,
    computed="the consciousness/IIT sections are conceptual identifications without mathematical observables or testable formulas in this TeX",
    claimed="consciousness is subjective side of geometric self-passage",
    detail="Expected non-verifiable claim.",
)
v.record(
    "no-fourth-generation prediction is derived here",
    False,
    computed="the paper asserts only three eigenvalue triplets fit, but supplies no spectral enumeration or exclusion proof",
    claimed="no fourth fermion family, absolute not statistical",
    detail="Expected proof-status fail.",
)
v.record(
    "prime-pattern mass correlation is testable from supplied data",
    False,
    computed="no particle-prime assignment or computed residual table is supplied for p*kappa≈integer and m_i/m_e≈p_i",
    claimed="Mersenne primes should correlate with fermion mass scales",
    detail="Expected reproducibility fail.",
)
v.record(
    "zero unexplained constants is supported by P8 alone",
    False,
    computed="several claims are inherited from earlier papers or marked as needing rigor; the coefficient proof is delegated to Paper 31",
    claimed="Zero external parameters / zero unexplained constants",
    detail="Expected status fail.",
)

sys.exit(v.summary())