Here is a hypothesis: [Update] Lorentzian geometry can be conditionally reconstructed from operational records before assuming spacetime points
I’ve released a pre-print on Zenodo and would appreciate critical feedback on the first paper in a planned technical series.
Full preprint:
https://doi.org/10.5281/zenodo.21020925
This isn’t presented as a Theory of Everything, and it doesn’t claim to derive Einstein’s equations, stress-energy coupling, cosmology, dark energy, or empirical predictions. The paper is deliberately limited to a prior kinematic reconstruction question.
The hypothesis is:
If stable operational records, directed intervention-signalling, conformal signal-front criteria, clock/scale criteria, and transport/curvature consistency tests are all satisfied, then a kinematic Lorentzian geometric candidate is supported.
The reconstruction chain is:
[ Q_epsilon -> R_epsilon -> (B_epsilon, preorder_epsilon) -> [q_epsilon] -> g_epsilon -> Levi-Civita connection and curvature tensor ]
Here Q_epsilon is not assumed to be a field on a background manifold.
The operational record interface is:
[ R_epsilon = (B_epsilon, A_epsilon, C_epsilon, rho_epsilon, S_epsilon) ]
The key separation is:
[ A_epsilon is not equal to S_epsilon ]
Adjacency, proximity, or correlation is not allowed to generate causal order. Only directed intervention-signalling may enter the signal preorder.
This post concerns only Paper 1 of the series. Its role is to define the criteria and dependency architecture. A later paper would have to provide an explicit non-geometric toy input and test whether the criteria can actually be satisfied. So this is a conditional reconstruction proposal, not an existence proof.
I’m especially looking for criticism of the following points:
Does the scheme still smuggle in spacetime geometry anywhere?
Is the distinction between adjacency A_epsilon and directed signalling S_epsilon sharp enough?
Does the local representation module V_{X, epsilon} risk becoming a tangent space under another name?
Are the clock/scale and transport/curvature gates placed correctly?
Which known reconstruction results or references should be added?
Update note: Compared with my earlier informal posts, this version is narrower and more disciplined. It removes claims about cosmology, Hubble tension, dark energy, or final dynamics, and restricts the discussion to kinematic Lorentzian reconstruction from operational records.
AI disclosure: I used AI assistance for language editing, structuring, and stress-testing presentation. The conceptual claims, definitions, responsibility for the argument, and final manuscript are mine.