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Published April 28, 2026 | Version v3
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Discrete Spacetime: How Einstein 1905 Refutes Einstein 1915

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The Sincere Science program has, over four previous publications, established a partial
ontology: time as discrete sequence of interaction events; the hidden variable that operates
the selection at each discrete resolution — non-random indeterminism, which the program
calls agency internally and uses as a technical term throughout this paper; non-locality as
artifact of the massive observer's frame; and the photon as a null-interval carrier. What those
publications did not produce, and what this paper supplies, is an ontology of space intrinsic to
the program, a derivation of the photon's frame-proper behavior from the program's own
axioms rather than from Minkowski geometry, an ontological explanation of Heisenberg's
indeterminacy relation, a reinterpretation of the constant c as the signature of the quantum
loop, and an extension of the selection mechanism across a hierarchy of material complexity
from the single photon to the conscious human being.


The central move is to give the present internal structure. The imperfect present is not a point
but a region with three sub-components: the past of the present (the scar that anchors the
currently operating selection), the in-between (the ongoing quantum loop), and the future of
the present (the two binary branches of the coming resolution). Space is the ephemeral
operational region of each active imperfect present, not a persistent substrate. The photon's
existence is one imperfect present only. Heisenberg follows as a consequence of position
belonging to the past of the present and momentum belonging to the future of the present:
different ontological modes, never co-measurable. The constant c is the invariant ratio of the
quantum loop, not a mechanical propagation speed. The selection mechanism is one, manifest
differently according to the complexity of the material structure that operates it; consciousness
is this mechanism at high hierarchical complexity.


Three open points are declared explicitly: the formalization of the duty cycle of the quantum
loop (which is also the entry point for deriving inertia), the first-principles derivation of the
specific constant n/2 in Heisenberg, and the mechanism by which hierarchical coordination
produces coherent macroscopic decision instead of pure agential noise. Seven falsification
conditions are stated. The paper takes its place as the canonical ontological synthesis of the
program, to be referenced by subsequent updates of the parent papers.

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