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@jeanbarrossilva jeanbarrossilva commented Aug 28, 2025

Adds the notion of fields to the QuantumMechanics framework. (Quantum mechanics and field theories are quite intertwined as per the current structure of the project. There shall be an effort put onto differentiating one from the other in the future; some kind of enum for selecting which theory to apply on the simulation, maybe?)

This is crucial for emergence, which is the envisioned foundation of Deus.


An atlas $\mathcal{A} = \set{(U _\alpha, \varphi _\alpha) \mid \alpha \in I}$ is a set of pairs of charts $U _\alpha$ and their homeomorphism $\varphi _\alpha \colon U _\alpha \rightarrow V _\alpha$, where $U _\alpha \subseteq M$ and $V _\alpha \subseteq \mathbb{R}^n$. An $n$-dimensional manifold $M$ is, then, a topological space whose distinct points have disjoint neighborhoods (that is: is a Hausdorff space); given a basis $B = \set{A_i} _{i \in \mathbb{N}}$, where $U _\alpha = \bigcup\set{ A_i \in B \mid A_i \subseteq U _\alpha}$, such space is also second-countable — $B$ contains open subsets of $M$.

@jeanbarrossilva jeanbarrossilva self-assigned this Aug 28, 2025
@jeanbarrossilva jeanbarrossilva added the feature Significant change to the project label Aug 28, 2025
@jeanbarrossilva jeanbarrossilva force-pushed the config-space branch 2 times, most recently from 6eb5ba2 to f861566 Compare August 29, 2025 02:39
@jeanbarrossilva jeanbarrossilva changed the title Implement configuration spaces Implement fields Aug 29, 2025
@jeanbarrossilva jeanbarrossilva force-pushed the config-space branch 7 times, most recently from 2095e3a to b9ee59a Compare August 30, 2025 11:48
@jeanbarrossilva jeanbarrossilva force-pushed the config-space branch 8 times, most recently from d156f7a to 5945569 Compare September 13, 2025 22:02
@jeanbarrossilva jeanbarrossilva force-pushed the config-space branch 7 times, most recently from c309df6 to 6f6ffee Compare November 29, 2025 18:29
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