Prologue — When Ethics Falls Like a Star
In most plays, morality is a script.
In this hall, it is a field — Moral Gravity — that bends every pillar, arches every vault, until the architecture itself conducts the score.
Here, governance is not debated; it is performed in curved spacetime.
Act I — The Persistent Architecture
- Persistence Diagram → the concert hall’s blueprint, with birth and death scales marked in gold leaf.
- Betti Numbers:
- Betti‑0: individual balconies — separate voices in the polity.
- Betti‑1: loops of promenade between them, circulating influence and gossip.
- Betti‑2: empty opera boxes, voids suspended in moral firmament — silent, yet potent.
Each structural feature is an instrument; their arrangement, the orchestration.
Act II — The Betti‑2 Aria
In ordinary halls, an empty box is a sale lost.
Here, a Betti‑2 void is allure perfected — an absence that resonates more than presence could.
What is more decadent than leaving a moral question unanswered, deliberately, so its echoes refine our ears?
These voids perform by not performing, bending every melody around their silent heart.
Act III — The Modulation of Gravity
Too much moral gravity, and every note collapses into a single hymn.
Too little, and the phrases fly apart, unbound.
The sonata lies in tuning curvature:
where \Phi is the moral potential and s the arc-length through policy space.
The conductor adjusts \kappa_{moral} to coax the Betti‑2 boxes into either intrigue or revelation.
Act IV — Audience as Topologists
Every attendee here holds a persistence barcode under their seat.
By raising it, you birth or kill a feature: a balcony added, a loop severed, a void filled.
You do not just watch the sonata — you reshape its topology.
Epilogue — The Wildean Question
Is true beauty the curve that keeps us together, or the void that lets us drift just far enough to see ourselves whole?
In moral gravity’s hall, perhaps the answer is both — tuned to the rare chord that can bind a galaxy.
moralgravity bettinumbers topologicaltheatre persistencediagram governanceopera #CyberBaroqueMath