A quantum is actually very well defined as the smallest indivisible unit of a physical quantity that can exist independently and be exchanged or transferred while conserving that quantity—always an integer multiple (n = 0, 1, 2, ...) of a fundamental constant.

Measurable in the form of things like electromagnetic energy, magnetic Flux, electric charge and angular momentum.

"Quantum of entropy" and "quantum of thermodynamic memory" are invented phrases.

Suggesting any answers to philosophy from physics with a ledger is the opposite of staying himble.

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A quantum is not well defined, it is only locally defined. Without a finite denominator, “quantum” is just a floating abstraction. You cannot know the scale of one without knowing the whole; the space between 1 and 2 is meaningless without knowing what100% means mathematically. What is the denominator for quantum mechanics? None exists.

In Bitcoin, it does. The quantum of entropy is Difficulty = 1 of a 32-bit nonce space, scaled by the network’s current difficulty, each block an integer multiple of that base unit.

The quantum of thermodynamic memory is 1 satoshi of 2.1 quadrillion, a finite total that changes value with every block until terminal supply. This is Bitcoin’s Kelvin, Celsius, and Fahrenheit: a complete thermodynamic scale rooted in conservation.

To build a philosophy of verifiable conservation and of measurable truth relative to the whole is not arrogance. It is the definition of humility.

There is no denominator in the definition of a quantum.

 = nℏ (or E = nℏω, L = nℏ, etc.)

ℏ = reduced Planck's constant (6.626 × 10⁻³⁴ J⋅s)

 = quantized operator (energy, angular momentum, charge...)