──── Unified framework from cosmology to engineering

The harmonic structure of everything

Harmonic Cosmic Ecology

A single framework is presented as reproducing precision cosmological observables and structural ratios across pharmaceuticals, semiconductors, propulsion, fusion, photonics, and related domains without fitted parameters.

 
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Primary cosmology benchmark

0.11 RMS |z|

Five-row primary density and background set against Planck 2018, with a maximum single-observable deviation of 0.25σ at h.

0

fitted cosmological parameters in the reported benchmark

0.37

BAO χ²/N across BOSS DR12 and eBOSS DR16 distance ratios

60

cross-domain anchors in the precision lattice

38

orders of magnitude claimed across the validation span
01 · Cosmological layer

The cosmological model

The Harmonic Friedmann Scaling Theory is presented as reproducing Planck 2018 cosmological observables and supplying an analytic baryon-acoustic-oscillation pipeline for BOSS/eBOSS measurements with zero free parameters.

Headline result

0.11

RMS |z|-score, primary set

Descriptive RMS |z|-score across the five-row primary density and background benchmark set against Planck 2018. Including the structurally classified spectral and acoustic-marker rows yields a mixed-table RMS of 0.09 as a compactness diagnostic.

 

Reference

Planck 2018

Primary set

5 rows

Max |z|

0.25σ

BAO χ²/N

0.37

Hubble tension, addressed

Early and late Hubble values emerge from the same framework.

The early-universe value is reported as H0 = 67.22 km/s/Mpc. A structural late/early scaling yields 72.83 km/s/Mpc. A full physical distance-ladder implementation is deferred to future work.

 
Early universe

67.22

Late scaling

72.83

Parameter scoreboard

HFST vs Planck 2018, every entry within 1σ

Parameter
HFST
Planck 2018
±σ
|z|
Primary benchmark set
RMS |z| = 0.11
Ωm
0.3150
0.3153
0.0073
0.04
Ωbh2
0.02237
0.02237
0.00015
0.03
Ωch2
0.11997
0.1200
0.0012
0.02
h
0.6722
0.6736
0.0054
0.25
zeq
3407
3407
32
0.001
Structurally classified lattice placements
reported separately
ns
0.9649
0.9649
0.0042
0.01
σ8
0.8111
0.8111
0.0060
0.00
ℓ1
220.0
220.0
0.5
0.00

Pipeline-level predictions

Analytic, zero free parameters, fed by (r, μ) plus TCMB, Neff

BAO distance ratios

BOSS DR12 + eBOSS DR16, five redshift bins, ten measurements

χ²/N = 0.37

Sound horizon at drag

Closed-form analytic prediction

rd = 148.85 Mpc

Drag epoch redshift

Closed-form analytic prediction

zdrag = 1041.1

BOSS-only subset

Mid-redshift backbone across three bins

χ²/N = 0.31

What this means

A compact cosmology claim, presented with clearer caveats.

A model that independently reproduces Planck 2018 observables should produce |z|-scores near unity on average. The reported primary-set RMS is 0.11 with every observable within 1σ, while the same input pair feeds an analytic BAO pipeline. Per-observable residuals, covariance treatment, and structural classifications remain in the manuscript and supplementary technical document.

 
02 · Cross-domain precision layer

Root Mean Square Error (RMSE)

The same harmonic framework is described as organizing a cross-domain lattice of physical anchors, including phase transitions, electroweak markers, pharmacological resonances, and astrophysical reference points.

Cross-domain validation

0.0063%

RMS across 60 anchors

Root-mean-square error measured across particle physics, cosmology, condensed matter, and pharmacology within a single quantized lattice structure. Maximum single-anchor residual is reported as 312 ppm.

Anchors

60

Max residual

312 ppm

Span

38 OOM

Fitted params

0

Validation highlights

Same framework, quantum to cosmological scales

Standard Model particle masses

Independent fit across the SM mass spectrum
11 / 11 fit

CMB acoustic peak ratios

Acoustic peak structure recovered, including first peak position
7 / 7 fit

Neutron lifetime

Predicted 880 s vs experimental average 879.4 ± 0.6 s
+0.07%

Cross-domain anchor lattice

Particle, condensed matter, pharma, astrophysics
60 anchors

Precision evolution

August 2025 to present · cross-domain RMS error
V1
0.215%
V1.1
0.197%
V1.8
0.1925%
V2.0
0.0063%
V2.1
0.0063%
34×

Reduction in cross-domain error

From V1 to V2.1, described as driven by structural refinements rather than parameter fits.

Error budget by layer

Transparent grouping of empirical and derived components
Measurement layer
Anchors
RMS
Status
Exact-by-construction
10
0.0000%
derivation
Cascade trims
6
0.0177%
empirical
Lattice nodes
40
0.0036%
empirical
Astrophysical
4
0.0000%
membership
Honesty disclosure

The page now separates derived anchors from empirical residuals.

A subset of the 60 anchors are exact by construction or derivation from the framework’s underlying axioms. These contribute zero to the empirical residual by definition. The headline 0.0063% RMS is dominated by the larger remaining set of independently measured anchors across particle physics, condensed matter, and astrophysical datasets.

04 ·  Engagement

Contact HCE

HCE engages with strategic partners, independent reviewers, investors, and federal program offices. Technical discussions are conducted under mutual NDA.

Primary contact

Gavin Summers

ORCID