Arithmetic, Wave Amplification, Versus Dot Product Amplification

Terms of Reference

Refer to the post, Terms of Use Agreement Xerqon Technologies, WIX Blog 2025, for early, legal due diligence.

ELG (Extremely Low Gain)

Image 1

Example 1

In the above image, the amplification is indicated in the equation to the far left. It is all summation, rather than product or dot product. No amplification is ever required in transmission. Radio antennas invert amplification. so if the amplification 1 it will remain as 1. Every signal wave is its own carrier wave, and lowest necessary transmission frequency is Pi Hertz.

Given the inverse square law and signal power sharing/division, the signal will invert on parsing the antenna amplifier of the receiving device. Counter-intuitively, for this reason inverse amplification is best for broadcasting devices or base stations to transmit with. With this method receiving signal strength is multiplied by the number of simultaneous and active receiving devices. For standard, forward amplification the received and parsed signals are divided in strength, by the number of receivers.

The breakthrough in ELG (Extremely Low Gain) wave transmission technology is trailblazing.

Wave amplitude addition was never understood as the more efficient, effective and cost-saving/profitable way to deliver a data signal, until now.

The traditional way to propagate a radio signal, using standard human technology, has been the very wasteful manner of mutual carrier and signal wave dot product:

Traditional, amplification product method

b        =    base carrier wave

d        =    device carrier wave

a        =    full amplification

a        =    b  *  d

P        =    W / t                                        

          =    v  *  i 

The highest base station to mobile device amplifications in telecommunications is 12dB or 10^12 times the minimum, broadcast signal strength.

base station

= b

=    10^6

device (mobile/portable)

=   - 10^6 

a        =    b  *  d

a       =     10^6 * -10^6

         =     10^12

A      =     10^6 V * ( sin^2 ( Pi 1.8 10 ^ -6 A  +   Pi/2) ) + 10 ^ -6 V * ( Sin^2 ( Pi * 1.8 * 10 ^ -6 A   + Pi/2) ),

a      =     10^6 V   +   10^-6 V

        =     10^12 V ;                       order of magnitude between 10^6V and 10^-6V is 12dB     

Transmitter Mobile Device

d 6B -----> - 6 dB

6dB is 12 orders of magnitude or 6dB above -6dB - barely worth the investment in the present, alternative amplification, technology modulus.

My solution offers a full wave amplification of approximately (10 ^ -4) % of the traditional method of amplitude product.

Signals can be carried individually as their own carrier waves or together, on one carrier wave frequency. The advantage of a shared carrier wave, for any set of frequencies, is that the carrier waves form discrete signal networks. The carrier waves should always be a of non integral wavelength, to conceal the same.

High voltages and low current can be achieved via the altered voltage to current ratio of a transformer output.

APPENDIX

An electrical signal will pass normal resistance across a standard electrical component with normal voltage drop. The conductor or wire will exhibit a voltage drop which is the inverse scale of that of the voltage source or of the total voltage drop of the combined alternative components, in series. If the voltage drop in the wire was zero, the circuit would cease to conduct power. There be no current. Multimeters must be better calibrated for voltage of inverse scale. Spacetime exists as gap, Casimir ‘vacuum’ or spacetime. Spacetime is the natural inverter of voltage or of electrical potential difference. It is exists between every particle in matter. The strongest representation of the Casimir separation is between atoms or molecules.

Spacetime is a vacuum to matter, yet is not a void. A void cannot have a distance in it. Two material objects separated by spacetime would be in direct contact if spacetime was a void. So spacetime is a medium, and it is a scalar (no units) or angular inverter of potential difference. Angles, measured in radians are often poorly described a number or scale, without units. They are the physics source of number or the scalar dimension or scalar variable. The example of the real number count, in physics is a follows:

( ω/2 ) t                =            Pi * x rad , often described just as Pi * x,      where x is a real number.

Sine squared is the natural wave form for energy, as it never elicits a negative energy result. In sine, the natural angle is ω. In sine squared wave form, it is ω/2. The scalar is the measure of dimensional rotation or phase shift. Inversion of the scalar is inversion of its diameter – another simultaneous oscillation. No natural diameter or scalar holds value. They are in constant rotational or oscillation flux. Natural amplification or acceleration is of the form sin ^ 2 * ( 1/2 ( θ ) ) – eg. Voltage,  and the wave it accelerates or ‘amplifies’ is sin ^ 2 * ( 1/2 ( θ + Pi/2 ) ) – eg. current. They are both orthogonal ( in scalar of rotational product ) and parallel in wavelength.

The concentration of time is spent at the end points of the diameter due to the slowdown of velocity at the same points of highest acceleration, in either direction. The time spent in any position in between is so brief that is negligible. The different extremes where potential energy is concentrated form the basis of potential difference of energy and of voltage. There is a smooth continuum maintained of potential the difference peak and trough. It runs parallel to the peak and trough or perpendicular/orthogonal to the direction of wave propagation. This is most present at low wavelength. That implies that low wavelength will generate higher time-scaled or time-evolved voltage. Voltage is clearly electrical acceleration. All acceleration is amplification in technology and it is relative gravity - usually relative between a rotational field and its core particle or inverse-scaled field.

For a complete explanation of the spacetime amplification phenomenon please read the Blog post entitled, Dark Matter/Dark Energy (mc^2) as the Essential Explanation for all Inherent, High Order of Magnitude Amplification.

© Xerqon ABN 97661410108 2025