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| Médium: | Recurso digital |
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Zenodo
2026
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| On-line přístup: | https://doi.org/10.5281/zenodo.20126813 |
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- <div>Closure Forces the Clock: Matter, Antimatter, and the Loop-Obstruction Trichotomy of B₃₁** — Paper 35 of the Merkabit Research Series.</div> <div> </div> <div>This paper measures the binary sector B₃₁ of the PSL(2,7) stratum decomposition (168 = 137 + 31) directly on a 6-qubit binary triangle, and</div> <div>establishes three results:</div> <div> </div> <div>1. The architecture's master clock is 60 = lcm(h(E₆), h(E₈)) = lcm(12, 30), not 30 alone. The intrinsic gate-cycle of {R, S, T} combined with the drive's Z₃₀ forces the master period to 60, giving Paper 8's algebraic identification of the binary sector with E₈ a dynamical reading.</div> <div> </div> <div>2. The five-fold ouroboros {S, R, T, F, P} is the 60 → 12 collapse operator. It projects the master clock onto the ternary-visible Coxeter period h(E₆) = 12 by exactly 60/12 = 5 = e₃ (third E₆ exponent; pentachoron vertex count; ouroboros gate count; verified at α⁻¹ = 137.036 by the R-locking test of Paper 34).</div> <div> </div> <div>3. Matter, antimatter, and Riemann are three closure modes** of the same loop primitive, distinguished only by gate-cycle chirality (R-T-S vs R-S-T) and drive type (rational vs log-prime). All three are present on B₃₁ alone, without the P-gate active. The matter/antimatter divisor-60 purities differ by 0.0646; the dimensionless rate asymmetry δ_rate = 0.0417 matches the Yang-Mills mass gap Δ(YM) = 1/|2T| = 1/24 to four significant figures (identified as the Fifth Face of PSL(2,7) in companion Paper 36).</div> <div> </div> <div>Pre-registered hardware observable: Observable 25, a 9-qubit cross-architecture verification on IBM Eagle r3 / Heron r2 and Google Willow.<br><br><em><strong>v2</strong>: Architectural-stratum corrections to the Riemann/GUE claims and Paper 14 attribution; removed one unsupported speculative paragraph.</em></div>