Please describe the feature you’d like to see added.
Below, I present a reflection on Bitcoin Core as mirrored through its “ex mere negativis nihil sequitur; ex mere particularibus nihil sequitur”
The content is divided into three core sections: Purpose, Concrete Mathematical Proof, and Use Case. This exploration addresses the switch from SHA-256 to SHA-512, the concept of resonance energy—defined as yielding a final value of 10 from the ratio N/Z in miners’ activity—and incorporates mathematical rigor with references to the Bitcoin whitepaper, culminating in cryptographic constructs.
I. Purpose Bitcoin emerges not merely as a technological artifact but as a profound accedence proposition, a testament to humanity’s quest for autonomy, trust, and the redefinition of value in a decentralized. Invites contemplation—not as a mere technical shift, but as an evolution echoing Bitcoin’s intrinsic adaptability and resilience. Why such a change? Fundamentally, SHA-512, with its 512-bit output, extends the cryptographic horizon beyond SHA-256’s 256-bit domain, amplifying resistance to collision vulnerabilities that, while presently remote, may loom larger with advancing computational paradigms, such as quantum threats—though both remain within SHA-2’s vulnerability sphere. Yet, the purpose transcends security alone; it embraces efficiency. On modern 64-bit architectures, SHA-512 processes data in 64-bit words, potentially outpacing SHA-256’s 32-bit operations, thus reducing energy per hash—a nod to ecological mindfulness amid Bitcoin’s energy-intensive mining tapestry. Philosophically, this shift mirrors Bitcoin’s dialectic: a balance between enduring principles and the imperative to evolve, ensuring its relevance in an ever-shifting technological landscape. Referencing Nakamoto’s whitepaper, the foundational aim—to secure a system “based on cryptographic proof instead of trust”—finds renewed vigor in this adaptation, aligning with the relentless progression of hardware and cryptographic science (Nakamoto, 2008) & (Cypherpunk, Deplore at Cryptographic rules, 9 March 1993)
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II. Concrete Mathematical Proof At Bitcoin’s heart pulses the proof-of-work mechanism, a cryptographic dance where miners vie to solve hash-based riddles, securing transactions and appending blocks to the chain. This process, governed by a difficulty adjustment every 2016 blocks, targets an average block time of 10 minutes—a temporal rhythm Nakamoto enshrined as the network’s heartbeat (Nakamoto, 2008, Section 4). Mathematically, this is modeled via the Poisson distribution, apt for capturing the stochastic nature of block discoveries. Let the number of blocks found in time ( t ) be denoted ( k) / P(K=k)=(λ)kk!e−λ λ=RD×t
Here, resonance energy emerges as a philosophical and mathematical construct: the optimal state where λ=1\lambda = 1\lambda = 1 over t=600t = 600t = 600 seconds (10 minutes), yielding an expected block count of 1—thus. The user’s stipulation that resonance energy reflects a final value of 10 from N/ZN/ZN/Z in miners’ activity suggests ( N ) as hashes computed and ( Z ) as energy expended, yet contextually aligns with the whitepaper’s block time goal. Adjusting N/ZN/ZN/Z to yield 10 may imply a derived efficiency metric, but here, we interpret it through the lens of block frequency stability. The Poisson sum, C=∑fiC = \sum f_iC = \sum f_i , where fi=P(i)f_i = P(i)f_i = P(i) , aggregates probabilities, reinforcing the system’s security against double-spending, as Nakamoto calculated for an attacker’s lag (e.g., z=10z = 10z = 10 blocks, where probability diminishes to 0.1%) (Nakamoto, 2008, Section 11). From Roman numerals—CM (900) + XLI (41) + X (10) = 951 for Metaphors in the form of encrypted Bit—this transitions to a block’s integrity, historically checksummed but here reimagined with SHA-512’s robust output, eschewing MD5’s frailty despite the user’s conflation of ML DSA with it.
III. Use Case Envision a Bitcoin ecosystem where SHA-512 supplants SHA-256 in proof-of-work, a shift rippling through miners’ silicon domains. On 64-bit systems, this could enhance computational efficiency, diminishing joules per hash and fostering a greener mining ethos—crucial as global scrutiny of Bitcoin’s energy footprint intensifies. Miners, leveraging this advantage, might elevate hash rates without proportional energy hikes, democratizing participation by easing entry for smaller operators, thus fortifying decentralization—a core tenet of Nakamoto’s vision (Nakamoto, 2008). Security amplifies too; SHA-512’s expansive hash space further thwarts collision risks, a speculative safeguard against future cryptographic assaults. Resonance energy here manifests practically: maintaining the 10-minute block cadence ensures network synchrony, a balance miners tune via difficulty adjustments modeled by Poisson dynamics. Transaction signatures, currently ECDSA-based, persist unchanged, though the user’s ML DSA notion—perhaps a misnomer for DSA or a checksum fantasy—prompts exploration of alternatives; yet, ECDSA’s elliptic curve strength prevails. Integrates this shift, its integrity verifiable across nodes. Rationalizing N/Z=10N/Z = 10N/Z = 10 , if ( N ) is hashes and ( Z ) energy : D=R×600D = R \times 600D = R \times 600 E[N]=1
Alligns with optimizing efficiency, though the whitepaper anchors us to block time resonance.
Is your feature related to a problem, if so please describe it.
Poisson Sum between the costs that the State bridges so that citizens continue to double spend, Satoshi Nakamoto hasn’t solved this yet but I’m not talking about Double Spending but rather the Resonance Energy move set from Roman to Arabic num Analogic * 2^256 or switch to SHA 512.
When rotation back to the beginning of the principle, Bit must start from 0 this makes block hash reset for theoretical or practical if experienced in the Blockchain Analyst job.
The problem I solved was the overhaul of the Poisson Sum between the different i++ -> z - K (1- PoW) + r/n. I overhauled to Resonance Energy Poisson Sum C=∑fi.
Describe the solution you’d like
The formula C=∑fi quantifies cumulative frequencies, such as transaction patterns or hash iterations, which can be fed into ML DSA to refine signature verification. For instance, fif_if_i might denote the frequency of specific bit patterns in SHA-512 hashes, training the machine learning model to enhance checksum efficiency. The Poisson sum, S=∑k=0∞P(k)=1S = \sum_{k=0}^{\infty} P(k) = 1S = \sum_{k=0}^{\infty} P(k) = 1 , ensures probabilistic completeness, but Resonance Energy focuses on derived stability metrics—such as the N/Z ratio’s terminal digit—culminating in 10. This convergence, rooted in Bitcoin’s 10-minute block time, underscores the mathematical harmony between SHA-512’s technical prowess and the network’s operational ethos.
Commutative Law: a) p V p = p
∈ 210.000 -> q=0.1 × r/n × (z=4 P=0.0034552), C=∑fi When ‘r’ it’s Resilience on Blockchain and ’n’ it’s Nitrous Sustainable
Describe any alternatives you’ve considered
Please leave any additional context
No response