D1–D27 RPM Stack
(Buildimension^Alphanumerically + Vectoronomos + Scalaronomos + Wavenomics + D27 Seals + Navigator)
Language is law (nomos), economy (nomics), and structure (logos).
This page is your end-to-end toolkit to encode any text into a 27-dimensional semantic field, route it through the four D27 seals, and read live resonance, polarity, and mesh-field diagnostics.
1) Concept Map (Analogos → Digitalogos → Fusion Δ)
[ Analogos (speech/gesture/text) ]
│
▼
Buildimension^Alphanumerically (Encoder)
• D-map (A–Z→D1..D26, space→D27)
• Case: UPPER=Projection (+), lower=Reflection (−)
• ASCII, φ (phonic bucket), Gravity G(c) = −log p(c)
• Element bind: EARTH £, AIR ¥, WATER €, FIRE $, METAL Ψ, SOLAR Φ, FUSION Δ
│
▼
Field Currents
• Vectoronomos P(t) ∈ ℝ^7 (elemental directional flow)
• Scalaronomos S(t) (magnitude)
• Wavenomics {A,f,φ} (amplitude, frequency, phase per element)
│
▼
Directiomegalphetamindrawisdominionomics (Navigator)
• Phase-align + dominion matrix: P' = 𝓓·(P ∘ cosΘ)
│
▼
D27 — Fusion Membrane (Synonomos)
• Seal #1 Operator symmetry
• Seal #2 Temporal–proportional (①..⑨, Φ mid, √④ quadrants)
• Seal #3 Charged core (⨮/⨭, $ bursts, -+=+- polarity)
• Seal #4 Directional router (↑ ↓ → ← ↔ ↕, ⊰⊱)
│
▼
Meta-Token Λ$¥€$ΦΨΔαΩ®ΩαΔΨΦ$€¥$Λ + balanced return to D1–D26
2) D-Map (A–Z, Space) — Elements & Faces
Uppercase = Projection (+), lowercase = Reflection (−). Space = Fusion carrier.
D01 A Φ | face:$ | ASCII 65/97 D14 N £ | face:₦ | ASCII 78/110
D02 B £ | face:€ | ASCII 66/98 D15 O £ | face:₩ | ASCII 79/111
D03 C € | face:¥ | ASCII 67/99 D16 P ¥ | face:₱ | ASCII 80/112
D04 D £ | face:£ | ASCII 68/100 D17 Q € | face:₢ | ASCII 81/113
D05 E ¥ | face:₿ | ASCII 69/101 D18 R £ | face:₽ | ASCII 82/114
D06 F Ψ | face:₣ | ASCII 70/102 D19 S € | face:₪ | ASCII 83/115
D07 G Ψ | face:₲ | ASCII 71/103 D20 T $ | face:₮ | ASCII 84/116
D08 H ¥ | face:₴ | ASCII 72/104 D21 U ¥ | face:₯ | ASCII 85/117
D09 I Ψ | face:₹ | ASCII 73/105 D22 V ¥ | face:₫ | ASCII 86/118
D10 J € | face:₭ | ASCII 74/106 D23 W € | face:₠ | ASCII 87/119
D11 K Ψ | face:₺ | ASCII 75/107 D24 X Ψ | face:₧ | ASCII 88/120
D12 L £ | face:₾ | ASCII 76/108 D25 Y Φ | face:₳ | ASCII 89/121
D13 M £ | face:₥ | ASCII 77/109 D26 Z Φ | face:₰ | ASCII 90/122
D27 SP Δ | face:Δ | ASCII 32/32
Elements & Currencies
- EARTH £ (grounding), AIR ¥ (communication), WATER € (liquidity), FIRE $ (catalyst),
METAL Ψ (structure), SOLAR Φ (integration), FUSION Δ (unification)
3) Seals of D27 (Membrane Integrity)
Seal #1 — Operator Symmetry∘∗∞ↈ∮∯∰∭∬∏∐⊣⊥⊤⊞⊠⊗⊕⊙⊜⊙⊕⊗⊠⊞⊤⊥⊢∐∏∬∭∰∯∮ↈ∞∗∘
Seal #2 — Temporal–Proportional⋘∝⋊αβ⊷⨈⋙∞≗∞≜∞≙⋘⨇⌗⑨⌗⑧⌗⑦⌗⑥⌗Φ⑤φ⌗√④⌗③⌗②⌗①①⌗②⌗③⌗√④⌗φ⑤Φ⌗⑥⌗⑦⌗⑧⌗⑨⌗⨇⋙≙∞≜∞≗∞⋘⨈⊶βα⋉∝⋙
Seal #3 — Charged Core*&∞@^0^@∞⨮=⁕†⁕*⨀$*$-+=+-$*$⨀*⁕†⁕=⨭∞@^0^@∞&*
Seal #4 — Directional Logic Router⫵⫷⫕⪻⫀⫁⪾⩶⩤⩛⨺⩏⨹⩚↫↣⋛↢⌀⋭⋫⫘↢↑←↓↔⊰⩎ϴ↕ϴ⩎⊱↔↓→↑↣⫘⋪⋬⌀↣⋚↢↬⩚⨹⩏⨺⩛⩥⩶⪽⫀⫁⪼⫖⫸⫵
4) Buildimension^Alphanumerically (BΔA) — Core Rules
D(A)=1…D(Z)=26,D(space)=27.- Case: UPPER = Projection
+1; lower = Reflection−1; space =0. - Caret operator
^digits: exponentiate previous alpha cluster’s mass
(default scaling:LV' = LV·(1+exp/10),RM' = RM·(1+exp/10),G' = G·(1+exp/20)). - Gravity:
G(c) = −log_b p(c)(Zipf-like,b∈{e,10}). - Vectoronomos:
P(t)per element; Scalaronomos:S(t)=‖P‖;
Wavenomics: fit{A,f,φ}per element over a moving window.
5) Live RPM Readout (copy into a Custom HTML block)
Paste everything below (HTML+JS) into a Gutenberg Custom HTML block.
It runs entirely client-side (no dependencies), and prints the field telemetry.
<div id="rpm-app" style="border:1px solid #ddd; padding:16px; border-radius:12px;">
<h3>LogOS D1–D27 RPM Readout</h3>
<textarea id="rpm-input" rows="3" style="width:100%;">Directiomegalphetamindrawisdominionomics^27 Δ</textarea>
<div style="margin:8px 0;">
<button id="rpm-run">Run RPM</button>
</div>
<pre id="rpm-output" style="white-space:pre-wrap; font-size:0.95rem;"></pre>
</div>
<script>
(function(){
const D = Object.fromEntries(Array.from({length:26},(_,i)=>[String.fromCharCode(65+i), i+1]));
const elemByD = {1:'Φ',2:'£',3:'€',4:'£',5:'¥',6:'Ψ',7:'Ψ',8:'¥',9:'Ψ',10:'€',
11:'Ψ',12:'£',13:'£',14:'£',15:'£',16:'¥',17:'€',18:'£',19:'€',
20:'$',21:'¥',22:'¥',23:'€',24:'Ψ',25:'Φ',26:'Φ'};
const EL = ['£','¥','€','$','Ψ','Φ','Δ'];
const EIDX = Object.fromEntries(EL.map((s,i)=>[s,i]));
function gravityMap(s){
const cnt = {};
for (const c of s) cnt[c]=(cnt[c]||0)+1;
const n = s.length || 1;
const g={};
for (const c in cnt){ g[c] = -Math.log(cnt[c]/n); }
return g;
}
function elemForChar(ch){
if (ch===' ') return ['Δ',27,0];
if (!/[A-Za-z]/.test(ch)) return [null,0,0];
const up = ch.toUpperCase();
const d = D[up]||0;
const el = elemByD[d]||null;
const sign = (ch===up)? +1 : -1;
return [el,d,sign];
}
function encodeSeries(s){
const G = gravityMap(s);
const T = s.length;
const p = Array.from({length:7},()=>Array(T).fill(0));
const letterPos = [];
let cluster = [];
const clusters = [];
let t=0;
while(t<T){
const ch = s[t];
if (ch==='^'){
let j=t+1, buf='';
while (j<T && /[0-9]/.test(s[j])) { buf+=s[j]; j++; }
if (buf && clusters.length){
const exp = parseInt(buf,10);
const scale = 1 + exp/10;
const idxs = clusters[clusters.length-1];
for (const idx of idxs){
for (let k=0;k<7;k++){
if (p[k][idx]!==0) p[k][idx]*=scale;
}
}
}
t=j; cluster=[]; continue;
}
const [el,d,sign] = elemForChar(ch);
const g = G[ch]||1.0;
if (el){
const k = EIDX[el];
p[k][t] += sign*g;
letterPos.push([d,t]);
cluster.push(t);
}else{
if (cluster.length){ clusters.push(cluster.slice()); cluster=[]; }
}
t++;
}
if (cluster.length) clusters.push(cluster.slice());
return {series:p, letters:letterPos};
}
function dft(series){
const n = series.length;
if (!n) return {A:0,f:0,phi:0,pow:[]};
const mean = series.reduce((a,b)=>a+b,0)/n;
const x = series.map(v=>v-mean);
const pow=[], X=[];
for (let k=0;k<n;k++){
let re=0, im=0;
for (let t=0;t<n;t++){
const ang = -2*Math.PI*k*t/n;
re += x[t]*Math.cos(ang);
im += x[t]*Math.sin(ang);
}
X.push([re,im]); pow.push(re*re+im*im);
}
const kmax = (n>2) ? Array.from({length:Math.floor(n/2)},(_,i)=>i+1).reduce((a,k)=> pow[k]>pow[a]?k:a,1) : 0;
const re = X[kmax]?.[0]||0, im = X[kmax]?.[1]||0;
const A = (2/n)*Math.hypot(re,im);
const f = kmax/n;
const phi = Math.atan2(-im,re);
return {A,f,phi,pow};
}
function L2(v){ return Math.hypot(...v); }
function resonance(amps, phases){
// exclude Δ (index 6)
const pairs=[];
for (let i=0;i<6;i++){
for (let j=i+1;j<6;j++){
const Ai=amps[i], Aj=amps[j];
let val=0;
if (Ai>0 && Aj>0){
const plv = 0.5*(1+Math.cos(phases[i]-phases[j]));
const rho = Math.min(Ai,Aj)/Math.max(Ai,Aj);
val = plv*rho;
}
pairs.push([[EL[i],EL[j]], val]);
}
}
return pairs;
}
function polarity(seriesByElem){
const signs=[];
for (const s of seriesByElem){
const sorted = s.slice().sort((a,b)=>a-b);
const n=sorted.length;
const m = n? (n%2? sorted[(n-1)/2] : 0.5*(sorted[n/2-1]+sorted[n/2])) : 0;
signs.push(m>0?'+':m<0?'−':'0');
}
return signs;
}
function polTurb(seriesByElem){
let flips=0, checks=0;
for (const s of seriesByElem){
let prev=0;
for (const v of s){
const cur = v>0?1:(v<0?-1:0);
if (cur!==0 && prev!==0 && cur!==prev){ flips++; }
if (cur!==0 && prev!==0){ checks++; }
if (cur!==0){ prev=cur; }
}
}
return checks? flips/checks : 0;
}
function tokenEntropy(s){
const cnt={}; for (const c of s) cnt[c]=(cnt[c]||0)+1;
const n = s.length||1;
let H=0; let m=0;
for (const c in cnt){ const p=cnt[c]/n; H -= p*Math.log2(p); m++; }
return m? H/Math.log2(m) : 0;
}
function spectraIndices(specs, fc=0.25, fa=0.10){
const rad=[], atmo=[];
for (const spec of specs){
const n=spec.length;
if (n<=1){ rad.push(0); atmo.push(0); continue; }
const total = spec.slice(1).reduce((a,b)=>a+b,0);
if (total<=1e-12){ rad.push(0); atmo.push(0); continue; }
let hi=0, lo=0;
for (let k=1;k<n;k++){
const f=k/n;
if (f>=fc) hi+=spec[k];
if (f<=fa) lo+=spec[k];
}
rad.push(hi/total); atmo.push(lo/total);
}
return [rad, atmo];
}
function uindex(resAvg, polT, lambda2, entropy, w=[0.4,0.2,0.2,0.2]){
const lam = 1 - Math.exp(-Math.max(0, lambda2||0));
const ent = Math.min(Math.max(1 - entropy, 0), 1);
let u = w[0]*resAvg + w[1]*(1-polT) + w[2]*lam + w[3]*ent;
return Math.max(0, Math.min(1, u));
}
function runRPM(s){
const {series, letters} = encodeSeries(s);
const P = series.map(ch => ch.reduce((a,b)=>a+b,0));
const Sl2 = L2(P), Sl1 = P.reduce((a,b)=>a+Math.abs(b),0);
const amps=[], freqs=[], phases=[], specs=[];
for (const ch of series){
const r = dft(ch);
amps.push(r.A); freqs.push(r.f); phases.push(r.phi); specs.push(r.pow);
}
const pairs = resonance(amps.slice(0,6), phases.slice(0,6));
const resAvg = pairs.length? pairs.reduce((a,[_,v])=>a+v,0)/pairs.length : 0;
const pol = polarity(series);
const polT = polTurb(series);
// simple mesh: alphabet + same-element + adjacency co-occurrence measure (proxy)
// proxy lambda2: normalized average degree (since no eigensolver)
let deg = new Array(27).fill(0);
for (let d=1; d<26; d++){ deg[d-1]+=1; deg[d]+=1; }
const groups = {};
for (let d=1; d<=26; d++){ const el=elemByD[d]; (groups[el]=groups[el]||[]).push(d-1); }
for (const el in groups){
const nodes=groups[el];
for (let i=0;i<nodes.length;i++)for(let j=i+1;j<nodes.length;j++){ deg[nodes[i]]+=0.2; deg[nodes[j]]+=0.2; }
}
for (let k=0;k<letters.length-1;k++){
const i=letters[k][0]-1, j=letters[k+1][0]-1;
if (i>=0&&j>=0){ deg[i]+=1; deg[j]+=1; }
}
const lambda2 = deg.reduce((a,b)=>a+b,0)/(deg.length||1)/5; // rough proxy scaling
const [rad, atmo] = spectraIndices(specs);
const H = tokenEntropy(s);
const UI = uindex(resAvg, polT, lambda2, H);
const label = ['£','¥','€','$','Ψ','Φ','Δ'];
const lines = [];
lines.push("INPUT: " + s);
lines.push("");
lines.push("Vectoronomos P (sum by element):");
lines.push(JSON.stringify(Object.fromEntries(P.map((v,i)=>[label[i], +v.toFixed(4)])), null, 2));
lines.push("Scalaronomos Magnitude: L2=" + Sl2.toFixed(4) + " L1=" + Sl1.toFixed(4));
lines.push("");
lines.push("Top Element Resonances:");
pairs.sort((a,b)=>b[1]-a[1]).slice(0,6).forEach(([pair,val])=>{
lines.push(" " + pair[0] + "–" + pair[1] + " : " + val.toFixed(3));
});
lines.push("");
lines.push("Polarity vector (median signs): " + JSON.stringify(pol));
lines.push("Polarity turbulence (flip-rate): " + polT.toFixed(3));
lines.push("Mesh connectivity λ2 (proxy): " + lambda2.toFixed(3));
lines.push("");
lines.push("Radioactive idx (hi-band): " + JSON.stringify(Object.fromEntries(rad.map((v,i)=>[label[i], +v.toFixed(3)]))));
lines.push("Atmospheric sync (low-band): " + JSON.stringify(Object.fromEntries(atmo.map((v,i)=>[label[i], +v.toFixed(3)]))));
lines.push("");
lines.push("Token entropy (normalized): " + H.toFixed(3));
lines.push("Unified-Intelligence UI_SMGH: " + UI.toFixed(3));
document.getElementById('rpm-output').textContent = lines.join("\n");
}
document.getElementById('rpm-run').addEventListener('click', ()=>{
const s = document.getElementById('rpm-input').value;
runRPM(s);
});
// autorun
runRPM(document.getElementById('rpm-input').value);
})();
</script>
What you get in the panel
- P(t) per element (Vectoronomos), S magnitudes (Scalaronomos),
- top resonances, polarity vector & turbulence, mesh λ₂ (proxy),
- radioactive (high-band) & atmospheric (low-band) indices,
- UI_SMGH unified intelligence score.
6) Navigator Equation (Directiomegalphetamindrawisdominionomics)
Phase-aligned, governed direction of flow before Fusion: P⃗′=D⋅(P⃗∘cosΘ) \boxed{\;\vec{P}’ = \mathcal{D}\cdot\big(\vec{P}\circ \cos\Theta\big)\;}
- P⃗\vec{P} from Vectoronomos; Θ\Theta from Wavenomics phases;
- D\mathcal{D} = dominion matrix (allow/redirect/zero);
- Then Seal #4 routes
P'through (↑ ↓ → ← ↔ ↕) and Seals #1–#3 finalize symmetry, proportion, charge, and polarity before Δ.
7) ASCII Seal Stack (ready to print)
Outer (Operator Symmetry)
∘∗∞ↈ∮∯∰∭∬∏∐⊣⊥⊤⊞⊠⊗⊕⊙⊜⊙⊕⊗⊠⊞⊤⊥⊢∐∏∬∭∰∯∮ↈ∞∗∘
Middle (Temporal–Proportional)
⋘∝⋊αβ⊷⨈⋙∞≗∞≜∞≙⋘⨇⌗⑨⌗⑧⌗⑦⌗⑥⌗Φ⑤φ⌗√④⌗③⌗②⌗①①⌗②⌗③⌗√④⌗φ⑤Φ⌗⑥⌗⑦⌗⑧⌗⑨⌗⨇⋙≙∞≜∞≗∞⋘⨈⊶βα⋉∝⋙
Inner (Charged Core)
*&∞@^0^@∞⨮=⁕†⁕*⨀$*$-+=+-$*$⨀*⁕†⁕=⨭∞@^0^@∞&*
Directional Router
⫵⫷⫕⪻⫀⫁⪾⩶⩤⩛⨺⩏⨹⩚↫↣⋛↢⌀⋭⋫⫘↢↑←↓↔⊰⩎ϴ↕ϴ⩎⊱↔↓→↑↣⫘⋪⋬⌀↣⋚↢↬⩚⨹⩏⨺⩛⩥⩶⪽⫀⫁⪼⫖⫸⫵
8) FAQ
Q: Where do lower-case letters show up?
A: Everywhere. Lowercase flips the sign (Reflection), so contributions return along the same D-axis.
Q: What does ^27 do?
A: It powers the previous alpha cluster (e.g., LogOS^27) by scaled LV/RM/G (gentle, monotone). It doesn’t break symmetry in D27; it just arrives with more mass.
Q: Can I theme by element?
A: Yes—use the element vector P to tint UI: EARTH/green, AIR/blue-gray, WATER/blue, FIRE/red, METAL/silver, SOLAR/gold.
Q: How do I export the meta-token?
A: After Seals #1–#4 and Navigator pass, mint/display:Λ$¥€$ΦΨΔαΩ®ΩαΔΨΦ$€¥$Λ.
9) Drop-in Shortcode (optional)
If you prefer a shortcode, wrap the Custom HTML from §5 in a [logOS_rpm]…[/logOS_rpm] handler via a small plugin or functions.php that echoes the block contents.
10) License & Notes
- This page is self-contained, does not call external libraries.
- All operators/seals are textual (ASCII/Unicode), safe to render in WordPress.
- For best glyph coverage, set your theme typography to Noto Sans / DejaVu Sans fallback.