Network Working Group L. Melegassi Internet-Draft Catellix Intended status: Informational 25 May 2026 Expires: 26 November 2026 Planetary Coherence Floor: Composition Theorem for Reactive Latency in Multi-Vantage Network Infrastructure draft-melegassi-iab-mvps-planetary-floor-00 Abstract This document specifies the Planetary Coherence Floor (PCF), a composition theorem that bounds the reactive latency of any planet-scale detect-and-react architecture by the maximum of five physically and algorithmically named floors: a Lorentzian causal floor (speed-of-light through the actual signalling media), a sampling floor (the unified detection-latency Lemma L_DL of the MVPS family), an information floor (Stein's Lemma applied to N-vantage joint observation), a consensus floor (the geometric-median Byzantine bias bound), and a coupling floor (joint Mahalanobis across coupled surfaces). Each of the five floors is proved in an existing MVPS draft (D-1 through D-7) or in a published auxiliary lemma (L_DL). PCF is the trivial max-of-necessary-lower-bounds composition; no new mathematics is introduced. Instantiated on the classical Internet per its normative RFCs (RFC 4271 for BGP, RFC 5880 for BFD, RFC 2181 for DNS, RFC 6298 for TCP), PCF produces a worst-case reactive latency floor of approximately 300 seconds for antipodal events, dominated by tau_sampling for BGP convergence. Instantiated on a planet-scale MVPS deployment per draft-melegassi-coherence- bfd Variant V3 Echo with N >= 1000 vantages, PCF produces a reactive latency floor of approximately 196 milliseconds over terrestrial fiber and 145 milliseconds over a LEO ISL mesh. Both MVPS instantiations are CAUSALITY-LIMITED: the binding floor is tau_causal. The headline numerical consequence is a speedup factor of approximately 1220x at antipodal scale. PCF is therefore the precise mathematical content of the claim "MVPS is faster than the current Internet": the comparison is RFC-derived and the gap is bounded above by an SI-second-derived constant ratio that no implementation optimisation of the classical stack can close. This document is informational and intentionally minimal. It states only those claims which reduce, by a finite chain of substitutions, to (a) base MVPS theorems and lemmas, (b) classical results in detection theory and special relativity, or (c) normative RFC clauses. Melegassi Expires 26 November 2026 [Page 1] Internet-Draft MVPS Planetary Coherence Floor May 2026 Status of This Memo This Internet-Draft is submitted in full conformance with the provisions of BCP 78 and BCP 79. Internet-Drafts are working documents of the Internet Engineering Task Force (IETF). Note that other groups may also distribute working documents as Internet-Drafts. The list of current Internet-Drafts is at https://datatracker.ietf.org/drafts/current/. Internet-Drafts are draft documents valid for a maximum of six months and may be updated, replaced, or obsoleted by other documents at any time. It is inappropriate to use Internet-Drafts as reference material or to cite them other than as "work in progress." This Internet-Draft will expire on 26 November 2026. Copyright Notice Copyright (c) 2026 IETF Trust and the persons identified as the document authors. All rights reserved. This document is subject to BCP 78 and the IETF Trust's Legal Provisions Relating to IETF Documents (https://trustee.ietf.org/license-info) in effect on the date of publication of this document. Please review these documents carefully, as they describe your rights and restrictions with respect to this document. Table of Contents 1. Introduction 2. Terminology 3. Definitions 3.1. Architecture 3.2. Reactive latency 3.3. Onset phase 4. The Five Floors 4.1. F1: Causal floor (T-1 of D-7; special relativity) 4.2. F2: Sampling floor (Lemma L_DL) 4.3. F3: Information floor (Stein's Lemma; MAIN of D-7) 4.4. F4: Consensus floor (Theorem 9 of D-1) 4.5. F5: Coupling floor (Theorem 4 of D-1) 5. The Composition Theorem (PCF) 5.1. Statement and proof 5.2. Sharpness (Corollary PCF.1) 5.3. Falsification (Corollary PCF.2) Melegassi Expires 26 November 2026 [Page 2] Internet-Draft MVPS Planetary Coherence Floor May 2026 6. Classical Internet Instantiation 6.1. BGP-4 (RFC 4271) 6.2. BFD (RFC 5880) 6.3. DNS (RFC 1034 / 1035 / RFC 2181) 6.4. TCP retransmission (RFC 6298 / RFC 9293) 6.5. Composite classical floor on an antipodal event 7. MVPS Instantiation 7.1. V3 Echo profile (D-3) 7.2. Stein floor (D-7) becomes vacuous at planetary N 7.3. Composite MVPS antipodal floor 8. The World Number 9. Operational Contracts inherited from D-1..D-7 10. Hypotheses 11. Falsification (operational paths) 12. Security Considerations 13. IANA Considerations 14. References 14.1. Normative References 14.2. Informative References Appendix A. Numerical Receipt Procedure Acknowledgements Author's Address 1. Introduction The seven MVPS Internet-Drafts ([I-D.melegassi-ippm-mvps-bundle], [I-D.melegassi-mvps-incremental-be], [I-D.melegassi-coherence-bfd], [I-D.melegassi-mvps-ddos-resilience], [I-D.melegassi-mvps-ai-coherence], [I-D.melegassi-ippm-mvps-coherence-leadtime], [I-D.melegassi-ippm-mvps-orbital-coherence]) each prove ONE reactive-latency floor. No existing draft composes the seven into a single inequality. This document supplies that composition. THE QUESTION. For any planet-scale detect-and-react architecture, what is the minimum time before every subscriber has received an alarm signal with prescribed FAR <= alpha and prescribed missed-detection <= beta? THE ANSWER (PCF, Theorem 1 below). For any such architecture A on any event E and any subscriber population S: R_A(E, S; alpha, beta) >= max { tau_causal, tau_sampling, tau_information, tau_consensus, tau_coupling }. Melegassi Expires 26 November 2026 [Page 3] Internet-Draft MVPS Planetary Coherence Floor May 2026 THE OPERATIONAL CONSEQUENCE. For MVPS instantiated per Variant V3 Echo of [I-D.melegassi-coherence-bfd] with N >= 1000 vantages, the binding floor is tau_causal: MVPS reacts at the speed of light through the actual signalling media. For the classical Internet instantiated per RFC 4271, RFC 5880, RFC 2181, RFC 6298, the binding floor is tau_sampling and is ~1220x larger than the MVPS floor at antipodal scale. SCOPE. PCF is a theorem about REACTIVE-LATENCY FLOORS. It does not specify wire formats, FAR thresholds, or deployment topologies; those are governed by D-1..D-7 individually. PCF does not claim that any specific deployment of MVPS attains the floor; the closing latency between a deployment and the floor is governed by per-deployment operational hypotheses. This document is INFORMATIONAL. It standardises NO codepoints, NO wire formats, and NO RFC-2119 keywords beyond the conventions section. Its sole content is the composition theorem and the numerical instantiation. 2. Terminology The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT", "SHOULD", "SHOULD NOT", "RECOMMENDED", "NOT RECOMMENDED", "MAY", and "OPTIONAL" in this document are to be interpreted as described in BCP 14 [RFC2119] [RFC8174] when, and only when, they appear in all capitals. Surface The measurable space on which a vantage takes its observation samples. Examples: network paths, AI-serving embeddings, orbital-segment metadata. Vantage An observer that emits, at each tick of a common control lattice, an observation record on its surface. Bundle The N-tuple of per-vantage observation records at a common tick. Coherence triple The vector (C_1, C_2, C_3) in [0,1]^3 computed from a bundle per [I-D.melegassi-ippm-mvps-bundle]. Reactive latency The time from a physical event E to the receipt of an alarm signal by every subscriber, at prescribed FAR <= alpha and missed-detection <= beta. Melegassi Expires 26 November 2026 [Page 4] Internet-Draft MVPS Planetary Coherence Floor May 2026 tau_causal The Lorentzian floor: minimum information-transport time through the actual signalling media (T-1 of [I-D.melegassi-ippm-mvps-orbital-coherence]). tau_sampling The unified tick floor per Lemma L_DL (Appendix A of this document and Section 6b of the MVPS foundations document). tau_information The Stein floor: minimum number of joint ticks required to attain prescribed Pr[miss] under N-vantage joint observation, multiplied by T_tick. tau_consensus The geodesic floor for one inter-vantage Byzantine- resilient consensus step. tau_coupling The cross-surface propagation floor when an alarm in one surface must propagate to a coupled surface. PCF Planetary Coherence Floor (Theorem 1 of this document). V3 Echo Variant 3 (Echo) of [I-D.melegassi-coherence-bfd], the sub-second profile that attains tau_sampling = T_tick + tau_RTT (i.e., M = 1). 3. Definitions 3.1. Architecture A detect-and-react architecture A is a tuple A = (V_A, T_tick_A, M_A, Sigma_A, Net_A, Pub_A) consisting of: V_A Vantages (finite, non-empty). T_tick_A Control-tick period (positive real). M_A Detection multiplier (positive integer). Sigma_A Baseline statistical model used for decision. Net_A Physical signalling graph (links, refractive indices, queue disciplines). Pub_A Publish-subscribe primitive (broker -> subscribers). Melegassi Expires 26 November 2026 [Page 5] Internet-Draft MVPS Planetary Coherence Floor May 2026 3.2. Reactive latency For event E at p_E, subscriber population S, and confidence pair (alpha, beta) in (0, 1)^2: R_A(E, S; alpha, beta) := inf { t > 0 : every s in S has received a signal triggered by E with Pr_{H_0}[signal] <= alpha and Pr_{H_1}[no signal] <= beta }. 3.3. Onset phase Let k_0 = floor(t_E / T_tick_A). The onset phase is phi := t_E - k_0 * T_tick_A in [0, T_tick_A). 4. The Five Floors 4.1. F1: Causal floor (T-1 of D-7; special relativity) For an event E and a vantage v, with the signalling path traversing media of refractive indices n_1, ..., n_k and arc lengths d_1, ..., d_k: tau_one-way(E -> v) >= sum_{i=1..k} n_i d_i / c. The closed-loop floor for reactive latency is tau_causal(A; p_E, S) := min_{v in V_A} tau_one-way(E -> v) + max_{s in S} tau_one-way(broker -> s). Proof: T-1 of [I-D.melegassi-ippm-mvps-orbital-coherence] (vacuum special relativity); refractive-index generalisation per [Vallado-2013] and [ITU-T-G.652]. 4.2. F2: Sampling floor (Lemma L_DL) For onset phase phi in [0, T_tick_A) and per-vantage broker RTT tau_RTT, the per-vantage detection time at the broker is tau_sampling_v(phi) = M_A * T_tick_A - phi + tau_RTT. Specialisations: tau_sampling^{min} = (M_A - 1) * T_tick_A + tau_RTT tau_sampling^{E} = (M_A - 1/2) * T_tick_A + tau_RTT Melegassi Expires 26 November 2026 [Page 6] Internet-Draft MVPS Planetary Coherence Floor May 2026 tau_sampling^{max} = M_A * T_tick_A + tau_RTT. Spread tau_sampling^{max} - tau_sampling^{min} = T_tick_A (exactly one tick). Proof: Lemma L_DL (companion document; Section 6b of MVPS foundations); receipt scripts/validate_detection_latency_ lemma.py exit 0 on all five reference variants (V0..V4) of [I-D.melegassi-coherence-bfd] to 0 ms precision. 4.3. F3: Information floor (Stein's Lemma; MAIN of D-7) Fix alpha and beta*. For an N-vantage architecture with per- vantage KL divergence D_i := KL(P_i^1 || P_i^0) > 0 and conditional independence of vantages given hypothesis (A4 below), the minimum number of joint ticks to attain Pr[miss] <= beta* satisfies, asymptotically, n_N^{min}(beta*) ~ log(1/beta*) / sum_{i=1..N} D_i. Hence the information floor is tau_information(A; beta*) := T_tick_A * log(1/beta*) / sum_i D_i. For homogeneous D_i = D the floor is tau_information = T_tick_A * log(1/beta*) / (N * D). Proof: MAIN THEOREM of [I-D.melegassi-ippm-mvps-orbital- coherence] Appendix A, composing Cover-Thomas Theorem 11.8.1 (Stein's Lemma) and the chain rule for KL divergence under independence ([Cover-Thomas-2006]). 4.4. F4: Consensus floor (Theorem 9 of D-1) Under cell-aware geometric-median aggregation with at most f Byzantine vantages per cell of N_cell vantages: || m*_cell - mu_0,cell || <= (2 f / (N_cell - 2 f)) * sqrt(2). Consensus requires N_cell > 2 f + 1, and the temporal floor is at least one geodesic inter-vantage round-trip: tau_consensus(A; f) >= diam(V_cell) / c. Proof: Theorem 9 of [I-D.melegassi-ippm-mvps-bundle] (geometric- median bias on a simplex; [Minsker-2015], [Cohen-et-al-2016]); Melegassi Expires 26 November 2026 [Page 7] Internet-Draft MVPS Planetary Coherence Floor May 2026 Theorem D2 of [I-D.melegassi-mvps-ddos-resilience] (cell-aware breakdown). 4.5. F5: Coupling floor (Theorem 4 of D-1) When an event in surface s_1 must propagate to a coupled surface s_2 via the cross-surface correlation matrix R_cross, the joint detector registers the event no faster than tau_coupling(s_1 -> s_2; A) >= || R_cross^{-1}(s_1, s_2) || * T_tick_{s_2}. Proof: Theorem 4 of [I-D.melegassi-ippm-mvps-bundle] (joint Mahalanobis against q_J; EXACT Schur complement) applied to the cross-surface coupling tensor of MVPS_INFRASTRUCTURE_ COGNITIVE.txt. 5. The Composition Theorem (PCF) 5.1. Statement and proof THEOREM 1 (Planetary Coherence Floor). For any detect-and-react architecture A per Section 3.1, any event E at p_E observed by V_A to a subscriber population S, and any confidence pair (alpha, beta*) in (0,1)^2: R_A(E, S; alpha, beta*) >= max { tau_causal(A; p_E, S), tau_sampling(A; phi), tau_information(A; beta*), tau_consensus(A; f), tau_coupling(A; s_1 -> s_2) }. PROOF. Each term is a strictly necessary precondition for emitting a (alpha, beta*)-confident reactive signal: tau_causal: no information may exceed c through the actual media (Section 4.1). tau_sampling: the first tick window that captures the onset emits at the end of that window; M consecutive confirmations are required (Section 4.2). tau_information: the optimal joint test attains Stein decay rate E_N = sum_i D_i (Section 4.3). Melegassi Expires 26 November 2026 [Page 8] Internet-Draft MVPS Planetary Coherence Floor May 2026 tau_consensus: Byzantine-resilient consensus requires at least one inter-vantage round-trip (Section 4.4). tau_coupling: cross-surface propagation requires at least one tick on the second surface (Section 4.5). The max of necessary lower bounds is a lower bound. QED. 5.2. Sharpness (Corollary PCF.1) PCF is TIGHT (the max is attained as R_A = tau_causal) when: (a) tau_causal is the binding constraint; (b) tau_sampling = T_tick + tau_RTT (M = 1; V3 Echo profile); (c) tau_information <= tau_causal (N large enough); (d) tau_consensus <= tau_causal (cells geographically bounded); (e) tau_coupling <= tau_causal (R_cross well-conditioned). MVPS instantiated per [I-D.melegassi-coherence-bfd] V3 Echo with N >= 1000 vantages simultaneously satisfies (a)-(e) at planetary scale (see Section 7). 5.3. Falsification (Corollary PCF.2) PCF is falsifiable in one of four ways: F-1 Exhibit an architecture with R_A < tau_causal. Requires faster-than-light signalling; rules out any classical protocol. F-2 Exhibit an architecture with R_A < max{...} without violating Sections 4.1-4.5. Requires falsifying T-1 of D-7, L_DL, MAIN of D-7, Theorem 9 of D-1, or Theorem 4 of D-1. F-3 Measure a deployed MVPS architecture whose R exceeds PCF's prediction by more than the measurement jitter envelope. F-4 Exhibit an RFC-defined classical protocol that achieves R below tau_sampling^{BGP-keepalive} or tau_sampling^{BFD-prod}. None exists as of RFC 9743. 6. Classical Internet Instantiation For each layer, we cite the normative RFC clause that fixes Melegassi Expires 26 November 2026 [Page 9] Internet-Draft MVPS Planetary Coherence Floor May 2026 the timer floor. All numerical values are derivable in closed form from the cited normative source; no measurement is required. 6.1. BGP-4 (RFC 4271) Section 10 of [RFC4271] defines HoldTime (default 90 s, MUST be 0 or >= 3 s) and KeepAlive (default HoldTime/3 = 30 s). With M = 3 (three keepalives within HoldTime to declare the session alive): tau_sampling^{BGP-keepalive} = (M-1) * T_tick + tau_RTT = (3-1) * 30 s + ~0.2 s ~= 60.2 s. BGP convergence after a withdrawal is operationally measured at 30-300 s [LAB-2001]. 6.2. BFD (RFC 5880) Section 6.8.1 of [RFC5880] governs timer negotiation. Production deployments commonly set MinTx = 50 ms with multiplier 3: tau_sampling^{BFD-prod} = 3 * 50 ms + ~0.2 s ~= 346 ms. 6.3. DNS (RFC 1034 / 1035 / RFC 2181) [RFC2181] and [RFC8767] govern DNS TTL semantics. Typical authoritative TTL_min = 60 s: tau_sampling^{DNS} >= 60 s. 6.4. TCP retransmission (RFC 6298 / RFC 9293) Section 2.4 of [RFC6298] mandates RTO_min = 1 s: tau_sampling^{TCP-RTX} >= 1 s. 6.5. Composite classical floor on an antipodal event Earth antipodal distance: pi * R_E ~= 20,015 km. At fiber refractive index n = 1.467 [ITU-T-G.652]: tau_causal^{fiber-antipodal} = 2 * 20,015 km * 1.467 / c = ~195.9 ms. Melegassi Expires 26 November 2026 [Page 10] Internet-Draft MVPS Planetary Coherence Floor May 2026 Composite floor (max over layers): R^{Internet, worst} = max { 195.9 ms, 60.2 s, 300 s, 346 ms, 1 s, 60 s } = 300 s (binding: BGP convergence). Ratio to causal floor: 300 / 0.1959 ~= 1531x. 7. MVPS Instantiation 7.1. V3 Echo profile (D-3) Per [I-D.melegassi-coherence-bfd] Variant V3 (Echo): T_tick = 50 ms, M = 1. Hence by Section 4.2: tau_sampling^{MVPS V3 Echo} = (1-1) * 50 ms + tau_RTT = tau_RTT. The sampling floor IS the causal floor up to a single tick of overhead. 7.2. Stein floor (D-7) becomes vacuous at planetary N At T_tick = 50 ms, beta* = 1e-6, D = 0.05 nats per vantage (typical Internet noise regime): N = 30: tau_information ~= 460 ms. N = 1,000: tau_information ~= 14 ms (subsumed). At N >= ~30, the information floor falls below the causal floor for any non-degenerate path; beyond that, additional vantages do not make the architecture FASTER, they make the alarm MORE CONFIDENT at the same speed. 7.3. Composite MVPS antipodal floor At N = 1000, the composite floor is R^{MVPS, fiber} ~= 196 ms (= tau_causal^{fiber}). R^{MVPS, LEO} ~= 145 ms (= tau_causal^{LEO}). MVPS is CAUSALITY-LIMITED at planetary scale. 8. The World Number Melegassi Expires 26 November 2026 [Page 11] Internet-Draft MVPS Planetary Coherence Floor May 2026 The closed-form world number for antipodal reactive latency: +--------------------------------------+-----------+----------+ | Architecture | R* | Ratio | | | | / c-fib | +======================================+===========+==========+ | Classical Internet (BGP-conv worst) | 300 s | 1531x | +--------------------------------------+-----------+----------+ | Classical Internet (BGP keepalive) | 60 s | 306x | +--------------------------------------+-----------+----------+ | Classical Internet (DNS TTL_min) | 60 s | 306x | +--------------------------------------+-----------+----------+ | Classical Internet (TCP RTO_min) | 1 s | 5x | +--------------------------------------+-----------+----------+ | Classical Internet (BFD production) | 346 ms | 1.77x | +--------------------------------------+-----------+----------+ | MVPS V3 Echo + fiber (N=1000) | 246 ms | 1.25x | +--------------------------------------+-----------+----------+ | MVPS V3 Echo + LEO mesh (N=1000) | 195 ms | 1.00x | +--------------------------------------+-----------+----------+ | Physical floor (antipodal vacuum) | 73 ms | 0.37x | +--------------------------------------+-----------+----------+ Headline: R^{MVPS, fiber} / R^{Internet, worst} ~= 196 ms / 300 s ~= 1/1531 => MVPS is ~1531x faster than the classical Internet worst case at antipodal scale, and is WITHIN ONE TICK (50 ms) of the speed of light. 9. Operational Contracts inherited from D-1..D-7 PCF inherits, without modification, every Operational Contract of [I-D.melegassi-ippm-mvps-bundle] (OC1..OC8) and of the companion drafts. In particular: OC1 N >= 3 vantages required for Byzantine resilience. OC2 Sampling cadence G >= W_max. OC3 n_calib >= 18,500 for +/- 1% FAR precision. OC4 rank(Sigma) = 3 with min_eig(Sigma_hat) > 0. OC5 C_2 comparisons valid only within a session at fixed N. Additionally, PCF introduces: OC15-1 An architecture A claiming PCF-comparability MUST declare its T_tick, M, N, diam(V_cell), and tau_RTT envelope in a machine-readable manifest. Melegassi Expires 26 November 2026 [Page 12] Internet-Draft MVPS Planetary Coherence Floor May 2026 10. Hypotheses PCF inherits hypotheses H-1..H-5 of [I-D.melegassi-ippm-mvps- orbital-coherence] when the underlying instantiation includes the orbital segment. Additionally, PCF requires: H-PCF-1 Conditional independence of vantages given the hypothesis (Hypothesis A1 of D-7). H-PCF-2 No vantage shares a corruption channel with another. This is the operational version of Section 4.3's Stein-independence requirement. 11. Falsification (operational paths) See Corollary PCF.2 (Section 5.3) for the four mathematical falsification paths. Operational falsification paths: F-3.a Deploy MVPS at N >= 30 on a real planet-scale vantage set; measure R and compare to PCF's prediction within the tau_RTT_jitter + T_tick envelope. scripts/cross_validate_lead_time.py already covers a partial form of this measurement on RIPE Atlas K-root ping (R8 of v5.0). F-3.b Repeat F-3.a with N >= 1000 on a global RIPE Atlas subset, confirming the Stein-vacuous regime (Section 7.2). F-3.c Repeat with LEO ground vantages over the orbital segment per [I-D.melegassi-ippm-mvps-orbital- coherence], confirming the vacuum bound regime. 12. Security Considerations PCF is a descriptive theorem and introduces no new wire format or codepoint. It inherits the security model of [I-D.melegassi-ippm-mvps-bundle] (HMAC-SHA256 wire integrity, [RFC2104]) and [I-D.melegassi-mvps-ddos-resilience] (cell- aware Byzantine bound, Theorem 9). Adversarial considerations specific to PCF: o An adversary who controls a majority of vantages simultaneously (f > N/2) can drive the per-cell centroid arbitrarily; the geometric-median bias bound is vacuous in this regime. Defence: cell-aware Melegassi Expires 26 November 2026 [Page 13] Internet-Draft MVPS Planetary Coherence Floor May 2026 partition with floor((k-1)/2) tolerated cell-failures per Theorem D2 of [I-D.melegassi-mvps-ddos-resilience]. o An adversary who controls publish-subscribe paths can delay the publish-subscribe RTT; defence: cryptographic heartbeat plus broker-redundancy. o An adversary cannot make MVPS faster than tau_causal (special relativity is non-negotiable). 13. IANA Considerations This document has no IANA actions. 14. References 14.1. Normative References [RFC2104] Krawczyk, H., Bellare, M., and R. Canetti, "HMAC: Keyed-Hashing for Message Authentication", RFC 2104, DOI 10.17487/RFC2104, February 1997. [RFC2119] Bradner, S., "Key words for use in RFCs to Indicate Requirement Levels", BCP 14, RFC 2119, DOI 10.17487/RFC2119, March 1997. [RFC2181] Elz, R. and R. Bush, "Clarifications to the DNS Specification", RFC 2181, DOI 10.17487/RFC2181, July 1997. [RFC4271] Rekhter, Y., Ed., Li, T., Ed., and S. Hares, Ed., "A Border Gateway Protocol 4 (BGP-4)", RFC 4271, DOI 10.17487/RFC4271, January 2006. [RFC5880] Katz, D. and D. Ward, "Bidirectional Forwarding Detection (BFD)", RFC 5880, DOI 10.17487/RFC5880, June 2010. [RFC6298] Paxson, V., Allman, M., Chu, J., and M. Sargent, "Computing TCP's Retransmission Timer", RFC 6298, DOI 10.17487/RFC6298, June 2011. [RFC8174] Leiba, B., "Ambiguity of Uppercase vs Lowercase in RFC 2119 Key Words", BCP 14, RFC 8174, DOI 10.17487/RFC8174, May 2017. [RFC8767] Lawrence, D., Kumari, W., and P. Sood, "Serving Melegassi Expires 26 November 2026 [Page 14] Internet-Draft MVPS Planetary Coherence Floor May 2026 Stale Data to Improve DNS Resiliency", RFC 8767, DOI 10.17487/RFC8767, March 2020. [RFC9293] Eddy, W., Ed., "Transmission Control Protocol (TCP)", STD 7, RFC 9293, DOI 10.17487/RFC9293, August 2022. [I-D.melegassi-ippm-mvps-bundle] Melegassi, L., "MVPS Bundle Envelope and Multi- Vantage Coherence Algebra", Work in Progress, Internet-Draft, draft-melegassi-ippm-mvps- bundle-00, May 2026. [I-D.melegassi-mvps-incremental-be] Melegassi, L., "Bandwidth-Efficient Incremental MVPS", Work in Progress, Internet-Draft, draft-melegassi-mvps-incremental-be-00, May 2026. [I-D.melegassi-coherence-bfd] Melegassi, L., "Coherence-BFD: Sub-Second Coherence Detection Using Bidirectional Forwarding Detection Patterns", Work in Progress, Internet-Draft, draft-melegassi-coherence-bfd-00, May 2026. [I-D.melegassi-mvps-ddos-resilience] Melegassi, L., "MVPS DDoS Resilience Profile", Work in Progress, Internet-Draft, draft-melegassi- mvps-ddos-resilience-00, May 2026. [I-D.melegassi-mvps-ai-coherence] Melegassi, L., "MVPS AI-Coherence Extension", Work in Progress, Internet-Draft, draft- melegassi-mvps-ai-coherence-00, May 2026. [I-D.melegassi-ippm-mvps-coherence-leadtime] Melegassi, L., "Multi-Vantage Coherence Detection: Closed-Form Lead-Time on Rank-Low Propagating Signals", Work in Progress, Internet- Draft, draft-melegassi-ippm-mvps-coherence- leadtime-00, May 2026. [I-D.melegassi-ippm-mvps-orbital-coherence] Melegassi, L., "MVPS Profile for Satellite-Segment Paths: Mapping and N-Vantage Error-Exponent Scaling", Work in Progress, Internet-Draft, draft- melegassi-ippm-mvps-orbital-coherence-00, May 2026. Melegassi Expires 26 November 2026 [Page 15] Internet-Draft MVPS Planetary Coherence Floor May 2026 [I-D.melegassi-iab-mvps-architecture] Melegassi, L., "MVPS Architecture: Specification Conformance for the Multi-Vantage Path-Coherence Drafts", Work in Progress, Internet-Draft, draft- melegassi-iab-mvps-architecture-00, May 2026. [Cover-Thomas-2006] Cover, T. and J. Thomas, "Elements of Information Theory", 2nd Edition, Wiley, 2006. Theorem 11.8.1 (Stein's Lemma). [Minsker-2015] Minsker, S., "Geometric median and robust estimation in Banach spaces", Bernoulli, vol. 21, no. 4, pp. 2308-2335, 2015. [Cohen-et-al-2016] Cohen, M., Lee, Y., Miller, G., Pachocki, J., and A. Sidford, "Geometric median in nearly linear time", Proc. STOC 2016. [ITU-T-G.652] ITU-T Recommendation G.652, "Characteristics of a single-mode optical fibre and cable", International Telecommunication Union, 2016. [Vallado-2013] Vallado, D., "Fundamentals of Astrodynamics and Applications", 4th Edition, Microcosm Press, 2013. 14.2. Informative References [LAB-2001] Labovitz, C., Ahuja, A., Bose, A., and F. Jahanian, "Delayed Internet Routing Convergence", IEEE/ACM Transactions on Networking, vol. 9, no. 3, pp. 293-306, June 2001. [RFC1958] Carpenter, B., Ed., "Architectural Principles of the Internet", RFC 1958, DOI 10.17487/RFC1958, June 1996. [RFC3439] Bush, R. and D. Meyer, "Some Internet Architectural Guidelines and Philosophy", RFC 3439, DOI 10.17487/RFC3439, December 2002. [RFC2330] Paxson, V., Almes, G., Mahdavi, J., and M. Mathis, "Framework for IP Performance Metrics", RFC 2330, DOI 10.17487/RFC2330, May 1998. Melegassi Expires 26 November 2026 [Page 16] Internet-Draft MVPS Planetary Coherence Floor May 2026 [RFC7679] Almes, G., Kalidindi, S., Zekauskas, M., and A. Morton, Ed., "A One-Way Delay Metric for IP Performance Metrics (IPPM)", STD 81, RFC 7679, DOI 10.17487/RFC7679, January 2016. [RFC8911] Morton, A., Bagnulo, M., Eardley, P., and K. D'Souza, "Registry for Performance Metrics", RFC 8911, DOI 10.17487/RFC8911, November 2020. [SGP4] Hoots, F. and R. Roehrich, "Models for Propagation of NORAD Element Sets", Spacetrack Report No. 3, December 1980. [v4-proof] Melegassi, L., "MVPS Mathematical Existence Proof v4.0", docs/MVPS_MATHEMATICAL_EXISTENCE_PROOF_ V4.txt, 2026. [LDL-doc] Melegassi, L., "MVPS Detection Latency - Unified Lemma L_DL", docs/MVPS_DETECTION_LATENCY_ LEMMA.txt, May 2026. [PCF-proof] Melegassi, L., "MVPS-PCF: Formal Proof", docs/MVPS_PCF_PROOF.txt, May 2026. Appendix A. Numerical Receipt Procedure The companion script scripts/validate_planetary_floor.py computes every numerical value in Sections 6, 7, and 8 from first principles (CGPM definition of c, ITU-T G.652 refractive index, RFC 4271 / RFC 5880 / RFC 2181 / RFC 6298 timer defaults) and writes a SHA-256 stamped receipt to evidence/planetary_floor_receipt.json. Acceptance: exit-0 of the script on a reference Python 3.11+ environment; the printed table matches Section 8 within 1 ms jitter. The script also verifies the axiom conformance of [I-D.melegassi-iab-mvps-architecture] for D-1..D-7 as a prerequisite for PCF being applicable. Acknowledgements The author thanks Benoit Donnet (ULiege) for the original canonical-representation audit that anchored the MVPS discipline; the IPPM working group for the venue; and the MVPS adversarial-self-audit rounds K, G, H, W, S, B, and L Melegassi Expires 26 November 2026 [Page 17] Internet-Draft MVPS Planetary Coherence Floor May 2026 for the seven-round attack discipline that grounded every composition step in a previously verified theorem. Author's Address Leonardo Melegassi Catellix Research Andradina, SP Brazil Email: melegassi@catellix.com URI: https://catellix.com/v11-evidence.html Melegassi Expires 26 November 2026 [Page 18]