Planck's Constant is the Quantum of Energy and NOT "Quantum of Action"

about 1 month ago (Edited)

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In this video I demonstrate FractalWoman's Modified Unit Analysis (MUA) and show that Planck's relation in Quantum Mechanics is unbalanced and leads to the misguided notion of "photons". Planck's energy-frequency formula relates the frequency of light to its energy via the Planck constant. In the International Standard (SI) system, the units for Planck's constant is joules * second, while that for the frequency is 1/second. Multiplying them results in the units joules * 1 and is a confusing result since there is an unbalanced "1" remaining.

In MUA, the unit of cycle is enforced throughout and never ignored or replaced by the number 1. This yields the Planck constant with the units Joules * second / cycle, or in other words: the energy of 1 cycle multiplied by 1 second. This reveals that Planck's constant has an arbitrary 1 second term. Decoupling this second or time term yields the new modified Planck's constant as simply the energy of 1 cycle or wavelength. This can be viewed as the Quantum of Energy by which all light is made up with. Higher frequency light has more energy simply because it has more quantum of energy. Higher frequency light also has a higher intensity since a detector would experience the same quantum of energy in a smaller area for a shorter time period.

In contrast, the conventional Planck relation leads to the notion of light being made up of an infinite number of different quanta of energy called "photons". For every frequency of light, there is a different quantum of energy. This results in a very confusing notion of light and reality; a notion which I view as being incorrect.

Light Quanta.jpeg

Links used in this video

Planck's Constant and the Nature of Light: https://www.researchgate.net/publication/325462944_Planck's_Constant_and_the_Nature_of_Light
- Local MES PDF: https://1drv.ms/b/s!As32ynv0LoaIi7ow-vcowB0YIWU02Q
Fractal Woman's YouTube: https://www.youtube.com/@FractalWoman/search?query=planck
Blackbody Radiation: https://peakd.com/hive-128780/@mes/applied-project-radiation-from-the-stars
Cycles, Planck's Constant, and the True Nature of Light: https://peakd.com/hive-128780/@mes/cycles-planck-s-constant-and-the-true-nature-of-light
Electromagnetic spectrum wiki: https://en.wikipedia.org/wiki/Electromagnetic_spectrum
Frequency wiki: https://en.wikipedia.org/wiki/Frequency
Photon wiki: https://en.wikipedia.org/wiki/Photon
Photon energy wiki: https://en.wikipedia.org/wiki/Photon_energy
Planck constant wiki: https://en.wikipedia.org/wiki/Planck_constant
Planck relation wiki: https://en.wikipedia.org/wiki/Planck_relation

Timestamps

Classical mechanics: Energy is continuous but inaccurate: 0:00
Quantum mechanics: Energy comes in discrete values called "quanta": 0:07
Modified Unit Analysis: Light is made up of a single quantum of energy: 0:29
Energy of a "photon" formula: 0:41
Frequency is the number of cycles per time: 0:56
Planck's constant is the "quantum of action": 1:25
Planck's energy-frequency relation has unbalanced units: 1:49
Accounting for the unit of cycles balances the Planck relation: 2:06
Planck's constant is the energy per 1 cycle or 1 wavelength multiplied by an arbitrary 1 second: 2:29
Modified Planck Constant is the energy of 1 cycle or 1 wavelength: 2:59
Modified Planck Constant is the Quantum of Energy! 3:22
Higher frequency of light has higher intensity but the same quantum of energy: 3:59
Quantum of action = Infinite "photons" vs 1 quantum of energy: 4:12
Table of different quanta of energy "photons" for each type of frequency: 4:51