**Correlate measured Phi with virtue indicators**
Virtue has both universal and variable components:
1. Cross-Cultural Core: Some virtues appear universal: fairness, care, honesty, courage. VIA-IS has been validated across cultures.
2. Multiple Measures: Use multiple virtue measures capturing different cultural emphases. Test whether Phi correlates with the culturally-appropriate virtue.
3. Statistical Control: Culture can be a moderator or covariate. Test whether Phi-virtue correlation holds within cultures.
4. Theophysics Prediction: Phi should correlate with whatever counts as virtue locally, since virtue = coherent integration of values/actions.
5. Complementary Analysis: If Phi correlates only with certain virtue types, that's informative about which virtues involve integration.
Verdict: Cultural variation is a feature to study, not a fatal flaw. Universal core plus cultural variation is testable.
Approximation is acceptable for correlation:
1. Proxy Validity: PCI correlates with consciousness states across many conditions. It's a validated Phi proxy.
2. Correlation, Not Causation: We test correlation between Phi-proxy and virtue. If proxy correlates with true Phi, proxy-virtue correlation implies Phi-virtue correlation.
3. Multiple Proxies: Use several Phi proxies. If all correlate similarly with virtue, the pattern is robust to measurement choice.
4. Relative Ranking: We need to rank individuals by Phi, not measure exact Phi. Ranking requires only ordinal validity.
5. Future Improvement: Better Phi measures will refine the correlation. Current methods provide preliminary evidence.
Verdict: Phi proxies are sufficient for correlation studies. Perfect measurement is not required.
Multiple methods address self-report bias:
1. Behavioral Measures: Include actual behavior (dictator game, honesty tasks). Behavior is harder to fake than self-report.
2. Peer Reports: Include ratings from friends, family, colleagues. Others' perspectives reduce self-enhancement.
3. Convergent Validity: If self-report, peer report, and behavior converge, the construct is valid.
4. Social Desirability Control: Include social desirability scales. Control for impression management statistically.
5. Known Groups: Compare populations known to differ in virtue (saints vs. criminals?). Validate measures against known groups.
Verdict: Multi-method assessment addresses self-report bias. The protocol uses multiple virtue measures.
Correlation is the first step:
1. Theophysics Claims Intrinsic Link: Theophysics doesn't claim Phi causes virtue or vice versa. Both may stem from the same underlying coherence.
2. Correlation Tests the Link: If Phi and virtue share a common source (coherence), they should correlate. Correlation tests this prediction.
3. Longitudinal Design: Track Phi and virtue over time. If Phi changes precede virtue changes (or vice versa), this suggests direction.
4. Intervention Studies: Virtue training (meditation, moral education) could be tested for Phi effects. This probes causation.
5. Mechanism Not Required: Establishing correlation is valuable even without full causal mechanism. Mechanism discovery follows.
Verdict: Correlation is the appropriate first test. Causation requires further studies, but correlation is prerequisite.
Pre-registration and diverse measures address this:
1. Pre-Registration: Specify virtue measures before data collection. No post-hoc selection.
2. Multiple Established Measures: Use widely-validated measures (VIA-IS, Moral Foundations) from different theoretical traditions.
3. Inclusive Approach: Include virtues from multiple frameworks (Western, Eastern, religious, secular). Test whether Phi correlates broadly or narrowly.
4. Transparency: Report all Phi-virtue correlations, not just significant ones. Let readers evaluate.
5. Adversarial Collaboration: Include skeptics in measure selection. Ensure fair test.
Verdict: Pre-registration and multiple measures prevent cherry-picking. The objection is addressable.
Integrated Information Formalism:
Where D is information distance between whole-system and partitioned distributions.
For neural systems:
Global Phi includes regional Phi plus integration across regions.
Null Hypothesis (H0):
Phi and virtue are uncorrelated.
Alternative Hypothesis (H1):
Phi and virtue are positively correlated.
Two-Tailed Alternative (Exploratory):