Leibniz’s monadology formulated early the idea of elementary centres of perspective. Our theory of quantum-entangled monads takes this as a starting point – but replaces harmony by field-based coupling, operators in Hilbert space, and IEQ as a coherence metric.
Instead of a pre-established harmony we use entanglement as real field coupling: monads are carriers of energy and information in a monad field, and their relations are modelled by operators in Hilbert space. The Hilbert space gives us the precise scaffold: states as vectors, observations as projections, dynamics as CPTP-channels.
Core move: Leibniz’s intuition remains – we make it measurable (IEQ), designable (VQM), and normatively assessable (XDM).
Leibniz replaced causal interaction with synchronous unfolding. In the monad field, real entanglement takes over this role: non-local correlations couple states effectively without classical signal paths. Formally, harmony becomes a coherence condition we express via density operators and resonance functionals. This keeps the Leibnizian intuition but makes it empirically testable and technologically usable.
At the same time, our monads are not windowless: channels permit exchange, perturbation, learning. This explains why meaning orders can arise, stabilise or decay – and how design becomes possible via topology (VQM) and quality metrics (IEQ).
Minimal pipeline: (1) choose topology, (2) parameterise couplings, (3) inject perturbations, (4) optimise IEQ, (5) report ablations. Result: harmony as measured coherence.
With Leibniz, monads coordinate without direct interaction; in our model they couple via real field operators. This makes coherence (resonance, stability) and desintegration (fragmentation) measurable. It opens bridges to sociology, AI and ethics: societies can be read as networks of monads whose meaning production is explained by resonance.
Leibniz’s universalism is thus modernised: one single framework connects formal physics, information dynamics and normative evaluation.
G. W. Leibniz – monads & pre-established harmony
All of them support our shift: from metaphysics to operator-based field theory.
Epistemic conditions.
Implicit order & holism.
Relativity & field.
Incompleteness & limits.
No. We introduce channels / operators for exchange. That is essential to explain learning, error correction and norm updates.
Field-based entanglement + IEQ as a quantitative coherence check. Harmony becomes a measured pattern.
Real systems are networks of monad-like centres; designable topologies (VQM) + coherence metrics (IEQ) allow us to simulate and steer emergent orders.