Why do we have negative frequencies?

sinusoids are waves, the sign of the frequency represents the direction of wave propagation. Simply speaking negative frequencies represent forward traveling waves, while positive frequencies represent backward traveling waves.

Why there is no negative frequency?

To directly answer your question; no, there is no such physical thing as negative frequency. Frequency is the rate at which something happens, so by defintion it must be a positive real number. Likewise a quantity of physical objects can also only be a positive real number, e.g. I have 4 and a half apples.

What do you mean by the concept of negative frequency?

Negative frequency is an idea associated with complex exponentials. A single sine wave can be broken down into two complex exponentials (‘spinning numbers’), one with a positive exponent and one with a negative exponent. That one with the negative exponent is where you get the concept of a negative frequency.

What is the relationship between time and frequency in signals?

The period T is the reciprocal of a frequency, T = 1 / f. The period of a waveform is the time required for one complete cycle of the wave to occur. The relationship between period, frequency, and amplitude for a sine wave is illustrated in the graphic.

Is it possible to have a negative time?

So to conclude this question, you can give negative time as in countdowns, or past events. But there is no such thing as a negative in a chronological time graph, that starts and ends with positive numbers, unless you consider BC as the negative on the line chart.

Is there such a thing as negative time on a graph?

So to conclude this question, you can give negative time as in countdowns, or past events. But there is no such thing as a negative in a chronological time graph, that starts and ends with positive numbers, unless you consider BC as the negative on the line chart.

Is it possible to get negative time value on options?

I realized, that put option can easily get negative time value, when it is deep in the money (spot price close to zero). Ultimate proof, that such negative time value exists is at limit, when spot price approaches zero. Then the option value is less, than strike as the price of the underlying can move in only one direction.

Does math want negative times negative to be positive?

Expanding brackets, via the area model, gives a convincing student illustration that mathematics “wants” negative times negative to be positive. (And for students ready for it, the axiomatic approach clinches it.) As to what “negative times negative is positive” actually means – I don’t have a clue. I just know it is algebraically consistent.

Why do we see only positive energy in forward time direction?

There seems to be no a priori reason why we should see only positive energies in forward time direction and negative energies in the backward time direction which can be reinterpreted the way Feynaman and Stuckelberg did. (1) The relativistic energy formula E2=p2c2+m02c4 formula (1905-Einstein) does not forbid the negative square-root, a priori.