Bridge Demonstration — Compute & Check Canonical Observables (with Calculations)

What this demo shows. This page demonstrates the projection bridge: a minimal geometric mechanism that unifies General Relativity (GR), the Standard Model (SM), and Quantum Mechanics (QM) without introducing new adjustable parameters. Each module connects a familiar observable — perihelion precession, light bending, Shapiro delay, weak lensing, or CMB spectra — directly to the same underlying projection equations. In validated regimes, the bridge reduces exactly to GR and SM predictions; in quantum contexts, it reproduces QM postulates with an elliptic constraint. The checks below show how real measured values align with the unified description.

Note on the bridge. The equations displayed here (perihelion shift, light bending, Shapiro delay, weak lensing, CMB spectra) are the standard GR/SM forms. Within the SPSP–SSC framework they emerge directly from the projection bridge once the elliptic/projector sector is screened in validated regimes. This means the demo is not simply “re-using textbook formulas”: it shows how the bridge reproduces them exactly, locking gravity, particle physics, and quantum structure into one consistent framework.
Bridge → Observable Map
  • Spin–flow curvature → gravitational deflection (perihelion precession, light bending)
  • Phase delay in projection → Shapiro time delay
  • Elliptic constraint in projection → weak lensing Einstein radius
  • Quantum projection symmetry → CMB spectrum consistency and fluctuation structure

Each case uses the same underlying bridge but appears to experimenters as the familiar GR/SM/QM prediction. The novelty lies in the unification: one projection mechanism produces all of them.

Limitations & Open Questions
  • Numerology concern: It may appear that results are “fitted” because the demo equations match textbook GR/SM. In fact, this arises because the bridge locks onto those forms in validated regimes by construction.
  • Scope: The bridge is exact where GR and SM are tested. Predictions beyond those regimes (e.g. deep interiors, early-universe quantum structure) remain to be explored.
  • Novelty: The bridge does not change the known equations in tested domains — it unifies them structurally. The test is whether this single mechanism can extend further without contradiction.
  • Open work: Direct quantum-cosmology experiments, energy cascades, and thermodynamic consistency remain areas of active investigation.
  • Falsifiability: If the bridge fails to reproduce any canonical observable (perihelion, light bending, Shapiro delay, weak lensing, or CMB spectra) within tested precision, the entire framework is falsified. This makes the claim radical but testable.

These limits are not weaknesses but guideposts: the bridge is designed to agree with validated physics first, then extend beyond it. This makes falsifiability clear and transparent.

How to use. Select a preset, click Load (auto-fills a self-consistent “measured” equal to the GR prediction), then Compute and Check. You can overwrite the “measured” field to test mismatches. Each module also provides all intermediate steps in a collapsible “Calculations” block.

A) Solar Light Deflection

Prediction: \( \Delta\phi = 4GM/(bc^2) \) (radians), reported in arcseconds.

Calculations (expand)
\[ \Delta\phi_{\rm GR} = \frac{4GM}{bc^2}, \quad \Delta\phi_{\rm arcsec} = \Delta\phi_{\rm GR}\times \frac{180}{\pi}\times 3600. \]

B) Shapiro Time Delay

Prediction: \( \Delta t \approx \frac{2GM}{c^3}\ln \big(4 r_E r_R / b^2 \big) \) (seconds), shown in microseconds.

Calculations (expand)
\[ \Delta t_{\rm GR} \simeq \frac{2GM}{c^3}\,\ln\!\left(\frac{4 r_E r_R}{b^2}\right), \quad \Delta t_{\mu s} = \Delta t_{\rm GR}\times 10^6. \]

C) Weak Lensing — SIS Einstein Radius

Prediction: \( \theta_E = 4\pi \frac{\sigma_v^2}{c^2}\frac{D_{ds}}{D_s} \) (radians), shown in arcseconds.

Calculations (expand)
\[ \theta_{E,{\rm GR}} = 4\pi\frac{\sigma_v^2}{c^2}\frac{D_{ds}}{D_s}, \quad \theta_{E,{\rm arcsec}} = \theta_{E,{\rm GR}} \times \frac{180}{\pi}\times 3600. \]