Much of human knowledge is reconstructive. We observe the present and infer the past. An archaeologist reconstructs a civilization from fragments.
A detective reconstructs a crime from evidence. A geologist reconstructs ancient environments from rocks. A cosmologist reconstructs the history of the universe from light arriving at a telescope.
In every case, the event itself is gone and only traces remain. From those traces, we attempt to determine what happened.
This process has produced some of humanity's greatest achievements. It also raises a question that is rarely examined directly:
How do we know we have identified all of the causes that contributed to the state we currently observe?
A successful reconstruction is not necessarily a complete reconstruction. The fact that a model explains observations does not automatically establish that every contributing source has been identified. This challenge appears across disciplines wherever origins must be inferred from surviving information.
At Axiom Science, we call this the Reconstruction Problem.
Our work explores the conditions under which reconstruction remains justified, and the assumptions that determine what can legitimately be inferred from the traces that remain. Identity, continuity, localization, measurement, singularities, cosmology, information theory, and artificial intelligence are not separate topics.
They are different places where the same question appears:
Given a present state, what can legitimately be inferred about the originating state from the information that survives?
We do not begin by assuming existing theories are wrong. Modern physics is among humanity's greatest intellectual achievements. So the question is not whether science works. The question is how we determine when a reconstruction is complete.
Everything else follows from there.
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