Reciprocal System Research Society

The Reciprocal System begins from the premise that the universe consists entirely of scalar motion. In the Natural Reference System (NRS), scalar motion is magnitude-only: it carries no intrinsic coordinate geometry, no built-in direction labels, and no privileged choice of spatial vs temporal expre...

Thank you for the thoughtful message. I skimmed through the QA paper after reading your post, and I can see you’ve put real structure behind the Witness-based framework you’re developing. The way you formalize distinction-making and map it into a geometric state space is clearly something you’ve tak...

The case for gravity in DFT does not begin with force laws or particle exchange. It begins from the structural rule of Dual-Frame Theory: A scalar progression in the Natural Reference System appears, when projected, as both curvature and energy. When the curvature produced by a bound motion is extre...

The purpose of this supplement is to show that the curvature correction predicted in DFT-29a is not merely conceptual. When implemented numerically using only: Dirac radial states Intrinsic curvature Background Phase Geometry (BPG) the anticipated Lamb shift appears quantitatively with the correct s...

How projection geometry reproduces the Schwarzschild redshift formula without postulating curved spacetime In DFT-13, we showed that redshift arises when T-frame curvature consumes part of the scalar motion budget, reducing the S-frame phase rate. But DFT-13 did this qualitatively: deeper wells ⇒ le...

DFT-13 showed that relativity emerges from budget allocation between the S-frame and T-frame. DFT-13b now makes that fully explicit using SI-unit conversion and one symbolic worked example. No assumption of Lorentz invariance. No spacetime postulates. Everything comes from: |\Delta x|^{2} + |\Delta\...

In DFT-10a we showed that energy quantization for hydrogen follows from a simple geometric rule: \oint d\Theta = 2\pi n \quad\Longrightarrow\quad \oint p\,dx = 2\pi n\,\hbar This alone gave: E_n = -\frac{13.6\ \text{eV}}{n^2} In this supplement we do the same for orbital angular momentum . We’ll sho...

Goal of this supplement: To demonstrate that quantized observables arise from projection geometry directly, including worked steps leading to explicit hydrogen-spectrum values. Quantization in DFT is not asserted; it results from closed-path consistency when scalar motion is projected into the S-fra...

This note supplements DFT-27 by examining, in detail, how a dc SQUID may be described in two logically equivalent ways: Standard circuit-theoretic formulation . T-frame (DFT) winding sector formulation. The objective is not to advocate one view over the other, but to establish a direct correspondenc...

In earlier posts we examined how distinct global windings in the T-frame produce slightly different curvature patterns, which the S-frame registers as measurable energy shifts. This applied both to orbitals (DFT-28) and to the Background Phase Geometry correction (DFT-29). The Lamb shift was then id...