Natanael

Under quantum mechanics this can’t explain non-even distributions. With no effects making high probability events more prevalent than others you can not (reliably) observe differentiated probabilities.

And once again, cardinalites appears. A thing whose possible variations correspond to infinite integers can’t match that with have variations matching the real numbers. An infinite line won’t correspond to an infinite hypercube in infinite dimensions. Gotta consider combinatorics from statistics too, as well as entropy. The number of permutations mapping to normal states simply has to far exceed the strange states for us to observe a normal universe.

e^(i*pi) + 1

Something dark matter like has to exist, because there’s no other reasonable way to describe this behavior (shifted center of gravity matching presence of matter not influenced by friction)

https://www.caltech.edu/about/news/dark-matter-flies-ahead-of-normal-matter-in-mega-galaxy-cluster-collision

Boltzman brains?

Yup, don’t be sole owner if you can’t afford a lawyer to make sure you get a good deal

And you can have a union even in a co-op (would mostly help if the majority / appointed leaders make decisions that break some rules, think enforcing safety rules and such)

We’re getting into hierarchies of infinities here, look up cardinality. You can have infinities that can’t map to every possibility of a higher infinity

Your workaround is precisely why I said “more practical”. Any updates to your tooling might break it because it’s not an expected usecase

You don’t want FIDO2 security tokens for that, use an OpenPGP applet (works with some Yubikeys and with many programmable smartcards). Much more practical for authenticating a server.

BTW we have a lot of cryptography experts in www.reddit.com/r/crypto (yes I know, I’m trying to get the community moved, I’ve been moderating it for a decade and it’s a slow process)

The Nyquist-Shannon sampling theorem isn’t subjective, it’s physics.

Your example isn’t great because it’s about misconceptions about the eye, not about physical limits. The physical limits for transparency are real and absolute, not subjective. The eye can perceive quick flashes of objects that takes less than a thousandth of a second. The reason we rarely go above 120 Hz for monitors (other than cost) is because differences in continous movement barely can be perceived so it’s rarely worth it.

We know where the upper limits for perception are. The difference typically lies in the encoder / decoder or physical setup, not the information a good codec is able to embedd with that bitrate.

Newer fractional arithmetic encoding can get crazy

https://en.wikipedia.org/wiki/Asymmetric_numeral_systems

Why use lossless for that when transparent lossy compression already does that with so much less bandwidth?

Opus is indistinguishable from lossless at 192 Kbps. Lossless needs roughly 800 - 1400 Kbps. That’s a savings of between 4x - 7x with the exact same quality.

Your wireless antenna often draws more energy in proportion to bandwidth use than the decoder chip does, so using high quality lossy even gives you better battery life, on top of also being more tolerant to radio noise (easier to add error correction) and having better latency (less time needed to send each audio packet). And you can even get better range with equivalent radio chips due to needing less bandwidth!

You only need lossless for editing or as a source for transcoding, there’s no need for it when just listening to media

SMTP?

Except Opus. Beats it at most bitrates

You literally can not distinguish 192 Kbps Opus from true lossless. Not even with movie theater grade speakers. You only benefit from lossless if you’re editing / applying multiple effects, etc, which you will not do at the receiving end of a Bluetooth connection.

That’s more than a codec question, that’s a Bluetooth audio profile question. Bluetooth LE Audio should support higher quality (including with Opus)

Nobody needs lossless over Bluetooth

Edit: plenty of downvotes by people who have never listened to ABX tests with high quality lossy compare versus lossless

At high bitrate lossy you literally can’t distinguish it. There’s math to prove it;

https://en.wikipedia.org/wiki/Nyquist–Shannon_sampling_theorem

At 44 kHz 16 bit with over 192 Kbps with good encoders your ear literally can’t physically discern the difference

Transparency is good enough, it’s intended to be a good fit for streaming, not masters for editing

Transparent or indistinguishable lossy compression are other common terms

There’s a push for Opus now, it’s the perfect codec for Bluetooth because it’s a singular codec that fits the whole spectrum from low bandwidth speech to high quality audio, and it’s fully free